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+mlforecast - Core + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

Core

+
+ + + +
+ + + + +
+ + +
+ + +
+
import copy
+
+from nbdev import show_doc
+from fastcore.test import test_eq, test_fail, test_warns
+from window_ops.expanding import expanding_mean
+from window_ops.rolling import rolling_mean
+from window_ops.shift import shift_array
+
+from mlforecast.target_transforms import Differences, LocalStandardScaler
+from mlforecast.utils import generate_daily_series, generate_prices_for_series
+
+
+

Data format

+

The required input format is a dataframe with at least the following columns: * unique_id with a unique identifier for each time serie * ds with the datestamp and a column * y with the values of the serie.

+

Every other column is considered a static feature unless stated otherwise in TimeSeries.fit

+
+
series = generate_daily_series(20, n_static_features=2)
+series
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsystatic_0static_1
0id_002000-01-017.4045292753
1id_002000-01-0235.9526242753
2id_002000-01-0368.9583532753
3id_002000-01-0484.9945052753
4id_002000-01-05113.2198102753
..................
4869id_192000-03-25400.6068079745
4870id_192000-03-26538.7948249745
4871id_192000-03-27620.2021049745
4872id_192000-03-2820.6254269745
4873id_192000-03-29141.5131699745
+ +

4874 rows × 5 columns

+
+
+
+

For simplicity we’ll just take one time serie here.

+
+
uids = series['unique_id'].unique()
+serie = series[series['unique_id'].eq(uids[0])]
+serie
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsystatic_0static_1
0id_002000-01-017.4045292753
1id_002000-01-0235.9526242753
2id_002000-01-0368.9583532753
3id_002000-01-0484.9945052753
4id_002000-01-05113.2198102753
..................
217id_002000-08-0513.2631882753
218id_002000-08-0638.2319812753
219id_002000-08-0759.5551832753
220id_002000-08-0886.9863682753
221id_002000-08-09119.2548102753
+ +

222 rows × 5 columns

+
+
+
+
+
+

TimeSeries

+
+
 TimeSeries (freq:Union[int,str,pandas._libs.tslibs.offsets.BaseOffset,Non
+             eType]=None, lags:Optional[Iterable[int]]=None, lag_transform
+             s:Optional[Dict[int,List[Union[Callable,Tuple[Callable,Any]]]
+             ]]=None,
+             date_features:Optional[Iterable[Union[str,Callable]]]=None,
+             num_threads:int=1, target_transforms:Optional[List[mlforecast
+             .target_transforms.BaseTargetTransform]]=None)
+
+

Utility class for storing and transforming time series data.

+

The TimeSeries class takes care of defining the transformations to be performed (lags, lag_transforms and date_features). The transformations can be computed using multithreading if num_threads > 1.

+
+
def month_start_or_end(dates):
+    return dates.is_month_start | dates.is_month_end
+
+flow_config = dict(
+    freq='W-THU',
+    lags=[7],
+    lag_transforms={
+        1: [expanding_mean, (rolling_mean, 7)]
+    },
+    date_features=['dayofweek', 'week', month_start_or_end]
+)
+
+ts = TimeSeries(**flow_config)
+ts
+
+
TimeSeries(freq=<Week: weekday=3>, transforms=['lag7', 'expanding_mean_lag1', 'rolling_mean_lag1_window_size7'], date_features=['dayofweek', 'week', 'month_start_or_end'], num_threads=1)
+
+
+

The frequency is converted to an offset.

+
+
test_eq(ts.freq, pd.tseries.frequencies.to_offset(flow_config['freq']))
+
+

The date features are stored as they were passed to the constructor.

+
+
test_eq(ts.date_features, flow_config['date_features'])
+
+

The transformations are stored as a dictionary where the key is the name of the transformation (name of the column in the dataframe with the computed features), which is built using build_transform_name and the value is a tuple where the first element is the lag it is applied to, then the function and then the function arguments.

+
+
test_eq(
+    ts.transforms, 
+    {
+        'lag7': (7, _identity),
+        'expanding_mean_lag1': (1, expanding_mean), 
+        'rolling_mean_lag1_window_size7': (1, rolling_mean, 7)
+        
+    }
+)
+
+

Note that for lags we define the transformation as the identity function applied to its corresponding lag. This is because _transform_series takes the lag as an argument and shifts the array before computing the transformation.

+
+
+
+
+

TimeSeries.fit_transform

+
+
 TimeSeries.fit_transform (data:pandas.core.frame.DataFrame, id_col:str,
+                           time_col:str, target_col:str,
+                           static_features:Optional[List[str]]=None,
+                           dropna:bool=True,
+                           keep_last_n:Optional[int]=None,
+                           max_horizon:Optional[int]=None,
+                           return_X_y:bool=False)
+
+

Add the features to data and save the required information for the predictions step.

+

If not all features are static, specify which ones are in static_features. If you don’t want to drop rows with null values after the transformations set dropna=False If keep_last_n is not None then that number of observations is kept across all series for updates.

+
+
flow_config = dict(
+    freq='D',
+    lags=[7, 14],
+    lag_transforms={
+        2: [
+            (rolling_mean, 7),
+            (rolling_mean, 14),
+        ]
+    },
+    date_features=['dayofweek', 'month', 'year'],
+    num_threads=2
+)
+
+ts = TimeSeries(**flow_config)
+_ = ts.fit_transform(series, id_col='unique_id', time_col='ds', target_col='y')
+
+

The series values are stored as a GroupedArray in an attribute ga. If the data type of the series values is an int then it is converted to np.float32, this is because lags generate np.nans so we need a float data type for them.

+
+
np.testing.assert_equal(ts.ga.data, series.y.values)
+
+

The series ids are stored in an uids attribute.

+
+
test_eq(ts.uids, series['unique_id'].unique())
+
+

For each time serie, the last observed date is stored so that predictions start from the last date + the frequency.

+
+
test_eq(ts.last_dates, series.groupby('unique_id')['ds'].max().values)
+
+

The last row of every serie without the y and ds columns are taken as static features.

+
+
pd.testing.assert_frame_equal(
+    ts.static_features_,
+    series.groupby('unique_id').tail(1).drop(columns=['ds', 'y']).reset_index(drop=True),
+)
+
+

If you pass static_features to TimeSeries.fit_transform then only these are kept.

+
+
ts.fit_transform(series, id_col='unique_id', time_col='ds', target_col='y', static_features=['static_0'])
+
+pd.testing.assert_frame_equal(
+    ts.static_features_,
+    series.groupby('unique_id').tail(1)[['unique_id', 'static_0']].reset_index(drop=True),
+)
+
+

You can also specify keep_last_n in TimeSeries.fit_transform, which means that after computing the features for training we want to keep only the last n samples of each time serie for computing the updates. This saves both memory and time, since the updates are performed by running the transformation functions on all time series again and keeping only the last value (the update).

+

If you have very long time series and your updates only require a small sample it’s recommended that you set keep_last_n to the minimum number of samples required to compute the updates, which in this case is 15 since we have a rolling mean of size 14 over the lag 2 and in the first update the lag 2 becomes the lag 1. This is because in the first update the lag 1 is the last value of the series (or the lag 0), the lag 2 is the lag 1 and so on.

+
+
keep_last_n = 15
+
+ts = TimeSeries(**flow_config)
+df = ts.fit_transform(series, id_col='unique_id', time_col='ds', target_col='y', keep_last_n=keep_last_n)
+ts._uids = ts.uids.tolist()
+ts._idxs = np.arange(len(ts.ga))
+ts._predict_setup()
+
+expected_lags = ['lag7', 'lag14']
+expected_transforms = ['rolling_mean_lag2_window_size7', 
+                       'rolling_mean_lag2_window_size14']
+expected_date_features = ['dayofweek', 'month', 'year']
+
+test_eq(ts.features, expected_lags + expected_transforms + expected_date_features)
+test_eq(ts.static_features_.columns.tolist() + ts.features, df.columns.drop(['ds', 'y']).tolist())
+# we dropped 2 rows because of the lag 2 and 13 more to have the window of size 14
+test_eq(df.shape[0], series.shape[0] - (2 + 13) * ts.ga.ngroups)
+test_eq(ts.ga.data.size, ts.ga.ngroups * keep_last_n)
+
+

TimeSeries.fit_transform requires that the y column doesn’t have any null values. This is because the transformations could propagate them forward, so if you have null values in the y column you’ll get an error.

+
+
series_with_nulls = series.copy()
+series_with_nulls.loc[1, 'y'] = np.nan
+test_fail(
+    lambda: ts.fit_transform(series_with_nulls, id_col='unique_id', time_col='ds', target_col='y'),
+    contains='y column contains null values'
+)
+
+
+
+
+

TimeSeries.predict

+
+
 TimeSeries.predict (models:Dict[str,Union[sklearn.base.BaseEstimator,List
+                     [sklearn.base.BaseEstimator]]], horizon:int,
+                     before_predict_callback:Optional[Callable]=None,
+                     after_predict_callback:Optional[Callable]=None,
+                     X_df:Optional[pandas.core.frame.DataFrame]=None,
+                     ids:Optional[List[str]]=None)
+
+

Once we have a trained model we can use TimeSeries.predict passing the model and the horizon to get the predictions back.

+
+
class DummyModel:
+    def predict(self, X: pd.DataFrame) -> np.ndarray:
+        return X['lag7'].values
+
+horizon = 7
+model = DummyModel()
+ts = TimeSeries(**flow_config)
+ts.fit_transform(series, id_col='unique_id', time_col='ds', target_col='y')
+predictions = ts.predict({'DummyModel': model}, horizon)
+
+grouped_series = series.groupby('unique_id')
+expected_preds = grouped_series['y'].tail(7)  # the model predicts the lag-7
+last_dates = grouped_series['ds'].max()
+expected_dsmin = last_dates + ts.freq
+expected_dsmax = last_dates + horizon * ts.freq
+grouped_preds = predictions.groupby('unique_id')
+
+np.testing.assert_allclose(predictions['DummyModel'], expected_preds)
+pd.testing.assert_series_equal(grouped_preds['ds'].min(), expected_dsmin)
+pd.testing.assert_series_equal(grouped_preds['ds'].max(), expected_dsmax)
+
+

If we have dynamic features we can pass them to X_df.

+
+
class PredictPrice:
+    def predict(self, X):
+        return X['price']
+
+series = generate_daily_series(20, n_static_features=2, equal_ends=True)
+dynamic_series = series.rename(columns={'static_1': 'product_id'})
+prices_catalog = generate_prices_for_series(dynamic_series)
+series_with_prices = dynamic_series.merge(prices_catalog, how='left')
+
+model = PredictPrice()
+ts = TimeSeries(**flow_config)
+ts.fit_transform(
+    series_with_prices,
+    id_col='unique_id',
+    time_col='ds',
+    target_col='y',
+    static_features=['static_0', 'product_id'],
+)
+predictions = ts.predict({'PredictPrice': model}, horizon=1, X_df=prices_catalog)
+pd.testing.assert_frame_equal(
+    predictions.rename(columns={'PredictPrice': 'price'}),
+    prices_catalog.merge(predictions[['unique_id', 'ds']])[['unique_id', 'ds', 'price']]
+)
+
+
+
+
+

TimeSeries.update

+
+
 TimeSeries.update (df:pandas.core.frame.DataFrame)
+
+

Update the values of the stored series.

+ + +
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/distributed.forecast.html b/distributed.forecast.html new file mode 100644 index 00000000..534390b1 --- /dev/null +++ b/distributed.forecast.html @@ -0,0 +1,1091 @@ + + + + + + + + + + +mlforecast - Distributed Forecast + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

Distributed Forecast

+
+ +
+
+ Distributed pipeline encapsulation +
+
+ + +
+ + + + +
+ + +
+ + +
+
+

DistributedMLForecast

+
+
 DistributedMLForecast (models,
+                        freq:Union[int,str,pandas._libs.tslibs.offsets.Bas
+                        eOffset,NoneType]=None,
+                        lags:Optional[Iterable[int]]=None, lag_transforms:
+                        Optional[Dict[int,List[Union[Callable,Tuple[Callab
+                        le,Any]]]]]=None, date_features:Optional[Iterable[
+                        Union[str,Callable]]]=None, num_threads:int=1, tar
+                        get_transforms:Optional[List[mlforecast.target_tra
+                        nsforms.BaseTargetTransform]]=None, engine=None,
+                        num_partitions:Optional[int]=None)
+
+

Multi backend distributed pipeline

+
+
+
+

DistributedMLForecast.fit

+
+
 DistributedMLForecast.fit (df:~AnyDataFrame, id_col:str='unique_id',
+                            time_col:str='ds', target_col:str='y',
+                            static_features:Optional[List[str]]=None,
+                            dropna:bool=True,
+                            keep_last_n:Optional[int]=None)
+
+

Apply the feature engineering and train the models.

+ ++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
TypeDefaultDetails
dfAnyDataFrameSeries data in long format.
id_colstrunique_idColumn that identifies each serie.
time_colstrdsColumn that identifies each timestep, its values can be timestamps or integers.
target_colstryColumn that contains the target.
static_featurestyping.Optional[typing.List[str]]NoneNames of the features that are static and will be repeated when forecasting.
dropnaboolTrueDrop rows with missing values produced by the transformations.
keep_last_ntyping.Optional[int]NoneKeep only these many records from each serie for the forecasting step. Can save time and memory if your features allow it.
ReturnsDistributedMLForecastForecast object with series values and trained models.
+
+
+
+

DistributedMLForecast.predict

+
+
 DistributedMLForecast.predict (h:int,
+                                before_predict_callback:Optional[Callable]
+                                =None, after_predict_callback:Optional[Cal
+                                lable]=None,
+                                new_df:Optional[~AnyDataFrame]=None)
+
+

Compute the predictions for the next horizon steps.

+ ++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
TypeDefaultDetails
hintForecast horizon.
before_predict_callbacktyping.Optional[typing.Callable]NoneFunction to call on the features before computing the predictions.
This function will take the input dataframe that will be passed to the model for predicting and should return a dataframe with the same structure.
The series identifier is on the index.
after_predict_callbacktyping.Optional[typing.Callable]NoneFunction to call on the predictions before updating the targets.
This function will take a pandas Series with the predictions and should return another one with the same structure.
The series identifier is on the index.
new_dftyping.Optional[~AnyDataFrame]NoneSeries data of new observations for which forecasts are to be generated.
This dataframe should have the same structure as the one used to fit the model, including any features and time series data.
If new_df is not None, the method will generate forecasts for the new observations.
ReturnsAnyDataFramePredictions for each serie and timestep, with one column per model.
+
+
+
+

DistributedMLForecast.preprocess

+
+
 DistributedMLForecast.preprocess (df:~AnyDataFrame,
+                                   id_col:str='unique_id',
+                                   time_col:str='ds', target_col:str='y', 
+                                   static_features:Optional[List[str]]=Non
+                                   e, dropna:bool=True,
+                                   keep_last_n:Optional[int]=None)
+
+

Add the features to data.

+ ++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
TypeDefaultDetails
dfAnyDataFrameSeries data in long format.
id_colstrunique_idColumn that identifies each serie.
time_colstrdsColumn that identifies each timestep, its values can be timestamps or integers.
target_colstryColumn that contains the target.
static_featurestyping.Optional[typing.List[str]]NoneNames of the features that are static and will be repeated when forecasting.
dropnaboolTrueDrop rows with missing values produced by the transformations.
keep_last_ntyping.Optional[int]NoneKeep only these many records from each serie for the forecasting step. Can save time and memory if your features allow it.
ReturnsAnyDataFramedf with added features.
+
+
+
+

DistributedMLForecast.cross_validation

+
+
 DistributedMLForecast.cross_validation (df:~AnyDataFrame, n_windows:int,
+                                         h:int, id_col:str='unique_id',
+                                         time_col:str='ds',
+                                         target_col:str='y',
+                                         step_size:Optional[int]=None, sta
+                                         tic_features:Optional[List[str]]=
+                                         None, dropna:bool=True,
+                                         keep_last_n:Optional[int]=None,
+                                         refit:bool=True, before_predict_c
+                                         allback:Optional[Callable]=None, 
+                                         after_predict_callback:Optional[C
+                                         allable]=None,
+                                         input_size:Optional[int]=None)
+
+

Perform time series cross validation. Creates n_windows splits where each window has h test periods, trains the models, computes the predictions and merges the actuals.

+ ++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
TypeDefaultDetails
dfAnyDataFrameSeries data in long format.
n_windowsintNumber of windows to evaluate.
hintNumber of test periods in each window.
id_colstrunique_idColumn that identifies each serie.
time_colstrdsColumn that identifies each timestep, its values can be timestamps or integers.
target_colstryColumn that contains the target.
step_sizetyping.Optional[int]NoneStep size between each cross validation window. If None it will be equal to h.
static_featurestyping.Optional[typing.List[str]]NoneNames of the features that are static and will be repeated when forecasting.
dropnaboolTrueDrop rows with missing values produced by the transformations.
keep_last_ntyping.Optional[int]NoneKeep only these many records from each serie for the forecasting step. Can save time and memory if your features allow it.
refitboolTrueRetrain model for each cross validation window.
If False, the models are trained at the beginning and then used to predict each window.
before_predict_callbacktyping.Optional[typing.Callable]NoneFunction to call on the features before computing the predictions.
This function will take the input dataframe that will be passed to the model for predicting and should return a dataframe with the same structure.
The series identifier is on the index.
after_predict_callbacktyping.Optional[typing.Callable]NoneFunction to call on the predictions before updating the targets.
This function will take a pandas Series with the predictions and should return another one with the same structure.
The series identifier is on the index.
input_sizetyping.Optional[int]NoneMaximum training samples per serie in each window. If None, will use an expanding window.
ReturnsAnyDataFramePredictions for each window with the series id, timestamp, target value and predictions from each model.
+ + +
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/distributed.models.dask.lgb.html b/distributed.models.dask.lgb.html new file mode 100644 index 00000000..97c67b5a --- /dev/null +++ b/distributed.models.dask.lgb.html @@ -0,0 +1,753 @@ + + + + + + + + + + +mlforecast - DaskLGBMForecast + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

DaskLGBMForecast

+
+ +
+
+ dask LightGBM forecaster +
+
+ + +
+ + + + +
+ + +
+ + +

Wrapper of lightgbm.dask.DaskLGBMRegressor that adds a model_ property that contains the fitted booster and is sent to the workers to in the forecasting step.

+
+
+

DaskLGBMForecast

+
+
 DaskLGBMForecast (boosting_type:str='gbdt', num_leaves:int=31,
+                   max_depth:int=-1, learning_rate:float=0.1,
+                   n_estimators:int=100, subsample_for_bin:int=200000, obj
+                   ective:Union[str,Callable[[Optional[numpy.ndarray],nump
+                   y.ndarray],Tuple[numpy.ndarray,numpy.ndarray]],Callable
+                   [[Optional[numpy.ndarray],numpy.ndarray,Optional[numpy.
+                   ndarray]],Tuple[numpy.ndarray,numpy.ndarray]],Callable[
+                   [Optional[numpy.ndarray],numpy.ndarray,Optional[numpy.n
+                   darray],Optional[numpy.ndarray]],Tuple[numpy.ndarray,nu
+                   mpy.ndarray]],NoneType]=None,
+                   class_weight:Union[dict,str,NoneType]=None,
+                   min_split_gain:float=0.0, min_child_weight:float=0.001,
+                   min_child_samples:int=20, subsample:float=1.0,
+                   subsample_freq:int=0, colsample_bytree:float=1.0,
+                   reg_alpha:float=0.0, reg_lambda:float=0.0, random_state
+                   :Union[int,numpy.random.mtrand.RandomState,NoneType]=No
+                   ne, n_jobs:Optional[int]=None,
+                   importance_type:str='split',
+                   client:Optional[distributed.client.Client]=None,
+                   **kwargs:Any)
+
+

Distributed version of lightgbm.LGBMRegressor.

+ + +
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/distributed.models.dask.xgb.html b/distributed.models.dask.xgb.html new file mode 100644 index 00000000..6f36388d --- /dev/null +++ b/distributed.models.dask.xgb.html @@ -0,0 +1,1036 @@ + + + + + + + + + + +mlforecast - DaskXGBForecast + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

DaskXGBForecast

+
+ +
+
+ dask XGBoost forecaster +
+
+ + +
+ + + + +
+ + +
+ + +

Wrapper of xgboost.dask.DaskXGBRegressor that adds a model_ property that contains the fitted model and is sent to the workers in the forecasting step.

+
+
+

DaskXGBForecast

+
+
 DaskXGBForecast (max_depth:Optional[int]=None,
+                  max_leaves:Optional[int]=None,
+                  max_bin:Optional[int]=None,
+                  grow_policy:Optional[str]=None,
+                  learning_rate:Optional[float]=None,
+                  n_estimators:Optional[int]=None,
+                  verbosity:Optional[int]=None, objective:Union[str,Callab
+                  le[[numpy.ndarray,numpy.ndarray],Tuple[numpy.ndarray,num
+                  py.ndarray]],NoneType]=None, booster:Optional[str]=None,
+                  tree_method:Optional[str]=None,
+                  n_jobs:Optional[int]=None, gamma:Optional[float]=None,
+                  min_child_weight:Optional[float]=None,
+                  max_delta_step:Optional[float]=None,
+                  subsample:Optional[float]=None,
+                  sampling_method:Optional[str]=None,
+                  colsample_bytree:Optional[float]=None,
+                  colsample_bylevel:Optional[float]=None,
+                  colsample_bynode:Optional[float]=None,
+                  reg_alpha:Optional[float]=None,
+                  reg_lambda:Optional[float]=None,
+                  scale_pos_weight:Optional[float]=None,
+                  base_score:Optional[float]=None, random_state:Union[nump
+                  y.random.mtrand.RandomState,int,NoneType]=None,
+                  missing:float=nan, num_parallel_tree:Optional[int]=None,
+                  monotone_constraints:Union[Dict[str,int],str,NoneType]=N
+                  one, interaction_constraints:Union[str,Sequence[Sequence
+                  [str]],NoneType]=None,
+                  importance_type:Optional[str]=None,
+                  device:Optional[str]=None,
+                  validate_parameters:Optional[bool]=None,
+                  enable_categorical:bool=False,
+                  feature_types:Optional[Sequence[str]]=None,
+                  max_cat_to_onehot:Optional[int]=None,
+                  max_cat_threshold:Optional[int]=None,
+                  multi_strategy:Optional[str]=None,
+                  eval_metric:Union[str,List[str],Callable,NoneType]=None,
+                  early_stopping_rounds:Optional[int]=None, callbacks:Opti
+                  onal[List[xgboost.callback.TrainingCallback]]=None,
+                  **kwargs:Any)
+
+

Implementation of the Scikit-Learn API for XGBoost. See :doc:/python/sklearn_estimator for more information.

+ ++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
TypeDefaultDetails
max_depthtyping.Optional[int]NoneMaximum tree depth for base learners.
max_leavestyping.Optional[int]NoneMaximum number of leaves; 0 indicates no limit.
max_bintyping.Optional[int]NoneIf using histogram-based algorithm, maximum number of bins per feature
grow_policytyping.Optional[str]NoneTree growing policy. 0: favor splitting at nodes closest to the node, i.e. grow
depth-wise. 1: favor splitting at nodes with highest loss change.
learning_ratetyping.Optional[float]NoneBoosting learning rate (xgb’s “eta”)
n_estimatorstyping.Optional[int]NoneNumber of gradient boosted trees. Equivalent to number of boosting
rounds.
verbositytyping.Optional[int]NoneThe degree of verbosity. Valid values are 0 (silent) - 3 (debug).
objectivetyping.Union[str, typing.Callable[[numpy.ndarray, numpy.ndarray], typing.Tuple[numpy.ndarray, numpy.ndarray]], NoneType]NoneSpecify the learning task and the corresponding learning objective or
a custom objective function to be used (see note below).
boostertyping.Optional[str]None
tree_methodtyping.Optional[str]None
n_jobstyping.Optional[int]NoneNumber of parallel threads used to run xgboost. When used with other
Scikit-Learn algorithms like grid search, you may choose which algorithm to
parallelize and balance the threads. Creating thread contention will
significantly slow down both algorithms.
gammatyping.Optional[float]None(min_split_loss) Minimum loss reduction required to make a further partition on a
leaf node of the tree.
min_child_weighttyping.Optional[float]NoneMinimum sum of instance weight(hessian) needed in a child.
max_delta_steptyping.Optional[float]NoneMaximum delta step we allow each tree’s weight estimation to be.
subsampletyping.Optional[float]NoneSubsample ratio of the training instance.
sampling_methodtyping.Optional[str]NoneSampling method. Used only by the GPU version of hist tree method.
- uniform: select random training instances uniformly.
- gradient_based select random training instances with higher probability
when the gradient and hessian are larger. (cf. CatBoost)
colsample_bytreetyping.Optional[float]NoneSubsample ratio of columns when constructing each tree.
colsample_byleveltyping.Optional[float]NoneSubsample ratio of columns for each level.
colsample_bynodetyping.Optional[float]NoneSubsample ratio of columns for each split.
reg_alphatyping.Optional[float]NoneL1 regularization term on weights (xgb’s alpha).
reg_lambdatyping.Optional[float]NoneL2 regularization term on weights (xgb’s lambda).
scale_pos_weighttyping.Optional[float]NoneBalancing of positive and negative weights.
base_scoretyping.Optional[float]NoneThe initial prediction score of all instances, global bias.
random_statetyping.Union[numpy.random.mtrand.RandomState, int, NoneType]NoneRandom number seed.

.. note::

Using gblinear booster with shotgun updater is nondeterministic as
it uses Hogwild algorithm.
missingfloatnanValue in the data which needs to be present as a missing value.
num_parallel_treetyping.Optional[int]None
monotone_constraintstyping.Union[typing.Dict[str, int], str, NoneType]NoneConstraint of variable monotonicity. See :doc:tutorial </tutorials/monotonic>
for more information.
interaction_constraintstyping.Union[str, typing.Sequence[typing.Sequence[str]], NoneType]NoneConstraints for interaction representing permitted interactions. The
constraints must be specified in the form of a nested list, e.g. [[0, 1], [2,<br>3, 4]], where each inner list is a group of indices of features that are
allowed to interact with each other. See :doc:tutorial<br></tutorials/feature_interaction_constraint> for more information
importance_typetyping.Optional[str]None
devicetyping.Optional[str]None.. versionadded:: 2.0.0

Device ordinal, available options are cpu, cuda, and gpu.
validate_parameterstyping.Optional[bool]NoneGive warnings for unknown parameter.
enable_categoricalboolFalse.. versionadded:: 1.5.0

.. note:: This parameter is experimental

Experimental support for categorical data. When enabled, cudf/pandas.DataFrame
should be used to specify categorical data type. Also, JSON/UBJSON
serialization format is required.
feature_typestyping.Optional[typing.Sequence[str]]None.. versionadded:: 1.7.0

Used for specifying feature types without constructing a dataframe. See
:py:class:DMatrix for details.
max_cat_to_onehottyping.Optional[int]None.. versionadded:: 1.6.0

.. note:: This parameter is experimental

A threshold for deciding whether XGBoost should use one-hot encoding based split
for categorical data. When number of categories is lesser than the threshold
then one-hot encoding is chosen, otherwise the categories will be partitioned
into children nodes. Also, enable_categorical needs to be set to have
categorical feature support. See :doc:Categorical Data<br></tutorials/categorical> and :ref:cat-param for details.
max_cat_thresholdtyping.Optional[int]None.. versionadded:: 1.7.0

.. note:: This parameter is experimental

Maximum number of categories considered for each split. Used only by
partition-based splits for preventing over-fitting. Also, enable_categorical
needs to be set to have categorical feature support. See :doc:Categorical Data<br></tutorials/categorical> and :ref:cat-param for details.
multi_strategytyping.Optional[str]None.. versionadded:: 2.0.0

.. note:: This parameter is working-in-progress.

The strategy used for training multi-target models, including multi-target
regression and multi-class classification. See :doc:/tutorials/multioutput for
more information.

- one_output_per_tree: One model for each target.
- multi_output_tree: Use multi-target trees.
eval_metrictyping.Union[str, typing.List[str], typing.Callable, NoneType]None.. versionadded:: 1.6.0

Metric used for monitoring the training result and early stopping. It can be a
string or list of strings as names of predefined metric in XGBoost (See
doc/parameter.rst), one of the metrics in :py:mod:sklearn.metrics, or any other
user defined metric that looks like sklearn.metrics.

If custom objective is also provided, then custom metric should implement the
corresponding reverse link function.

Unlike the scoring parameter commonly used in scikit-learn, when a callable
object is provided, it’s assumed to be a cost function and by default XGBoost will
minimize the result during early stopping.

For advanced usage on Early stopping like directly choosing to maximize instead of
minimize, see :py:obj:xgboost.callback.EarlyStopping.

See :doc:Custom Objective and Evaluation Metric </tutorials/custom_metric_obj>
for more.

.. note::

This parameter replaces eval_metric in :py:meth:fit method. The old
one receives un-transformed prediction regardless of whether custom
objective is being used.

.. code-block:: python

from sklearn.datasets import load_diabetes
from sklearn.metrics import mean_absolute_error
X, y = load_diabetes(return_X_y=True)
reg = xgb.XGBRegressor(
tree_method=“hist”,
eval_metric=mean_absolute_error,
)
reg.fit(X, y, eval_set=[(X, y)])
early_stopping_roundstyping.Optional[int]None.. versionadded:: 1.6.0

- Activates early stopping. Validation metric needs to improve at least once in
every early_stopping_rounds round(s) to continue training. Requires at
least one item in eval_set in :py:meth:fit.

- If early stopping occurs, the model will have two additional attributes:
:py:attr:best_score and :py:attr:best_iteration. These are used by the
:py:meth:predict and :py:meth:apply methods to determine the optimal
number of trees during inference. If users want to access the full model
(including trees built after early stopping), they can specify the
iteration_range in these inference methods. In addition, other utilities
like model plotting can also use the entire model.

- If you prefer to discard the trees after best_iteration, consider using the
callback function :py:class:xgboost.callback.EarlyStopping.

- If there’s more than one item in eval_set, the last entry will be used for
early stopping. If there’s more than one metric in eval_metric, the last
metric will be used for early stopping.

.. note::

This parameter replaces early_stopping_rounds in :py:meth:fit method.
callbackstyping.Optional[typing.List[xgboost.callback.TrainingCallback]]NoneList of callback functions that are applied at end of each iteration.
It is possible to use predefined callbacks by using
:ref:Callback API <callback_api>.

.. note::

States in callback are not preserved during training, which means callback
objects can not be reused for multiple training sessions without
reinitialization or deepcopy.

.. code-block:: python

for params in parameters_grid:
# be sure to (re)initialize the callbacks before each run
callbacks = [xgb.callback.LearningRateScheduler(custom_rates)]
reg = xgboost.XGBRegressor(**params, callbacks=callbacks)
reg.fit(X, y)
kwargstyping.AnyKeyword arguments for XGBoost Booster object. Full documentation of parameters
can be found :doc:here </parameter>.
Attempting to set a parameter via the constructor args and **kwargs
dict simultaneously will result in a TypeError.

.. note:: **kwargs unsupported by scikit-learn

**kwargs is unsupported by scikit-learn. We do not guarantee
that parameters passed via this argument will interact properly
with scikit-learn.
ReturnsNone
+ + +
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/distributed.models.ray.lgb.html b/distributed.models.ray.lgb.html new file mode 100644 index 00000000..769f9c38 --- /dev/null +++ b/distributed.models.ray.lgb.html @@ -0,0 +1,751 @@ + + + + + + + + + + +mlforecast - RayLGBMForecast + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

RayLGBMForecast

+
+ +
+
+ ray LightGBM forecaster +
+
+ + +
+ + + + +
+ + +
+ + +

Wrapper of lightgbm.ray.RayLGBMRegressor that adds a model_ property that contains the fitted booster and is sent to the workers to in the forecasting step.

+
+
+

RayLGBMForecast

+
+
 RayLGBMForecast (boosting_type:str='gbdt', num_leaves:int=31,
+                  max_depth:int=-1, learning_rate:float=0.1,
+                  n_estimators:int=100, subsample_for_bin:int=200000, obje
+                  ctive:Union[str,Callable[[Optional[numpy.ndarray],numpy.
+                  ndarray],Tuple[numpy.ndarray,numpy.ndarray]],Callable[[O
+                  ptional[numpy.ndarray],numpy.ndarray,Optional[numpy.ndar
+                  ray]],Tuple[numpy.ndarray,numpy.ndarray]],Callable[[Opti
+                  onal[numpy.ndarray],numpy.ndarray,Optional[numpy.ndarray
+                  ],Optional[numpy.ndarray]],Tuple[numpy.ndarray,numpy.nda
+                  rray]],NoneType]=None,
+                  class_weight:Union[Dict,str,NoneType]=None,
+                  min_split_gain:float=0.0, min_child_weight:float=0.001,
+                  min_child_samples:int=20, subsample:float=1.0,
+                  subsample_freq:int=0, colsample_bytree:float=1.0,
+                  reg_alpha:float=0.0, reg_lambda:float=0.0, random_state:
+                  Union[int,numpy.random.mtrand.RandomState,NoneType]=None
+                  , n_jobs:Optional[int]=None,
+                  importance_type:str='split', **kwargs)
+
+

PublicAPI (beta): This API is in beta and may change before becoming stable.

+ + +
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/distributed.models.ray.xgb.html b/distributed.models.ray.xgb.html new file mode 100644 index 00000000..17eae119 --- /dev/null +++ b/distributed.models.ray.xgb.html @@ -0,0 +1,772 @@ + + + + + + + + + + +mlforecast - RayXGBForecast + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

RayXGBForecast

+
+ +
+
+ ray XGBoost forecaster +
+
+ + +
+ + + + +
+ + +
+ + +

Wrapper of xgboost.ray.RayXGBRegressor that adds a model_ property that contains the fitted model and is sent to the workers in the forecasting step.

+
+
+

RayXGBForecast

+
+
 RayXGBForecast (objective:Union[str,Callable[[numpy.ndarray,numpy.ndarray
+                 ],Tuple[numpy.ndarray,numpy.ndarray]],NoneType]='reg:squa
+                 rederror', **kwargs:Any)
+
+

Implementation of the scikit-learn API for Ray-distributed XGBoost regression. See :doc:/python/sklearn_estimator for more information.

+ ++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
TypeDefaultDetails
objectivetyping.Union[str, typing.Callable[[numpy.ndarray, numpy.ndarray], typing.Tuple[numpy.ndarray, numpy.ndarray]], NoneType]reg:squarederrorSpecify the learning task and the corresponding learning objective or
a custom objective function to be used (see note below).
kwargstyping.AnyKeyword arguments for XGBoost Booster object. Full documentation of parameters
can be found :doc:here </parameter>.
Attempting to set a parameter via the constructor args and **kwargs
dict simultaneously will result in a TypeError.

.. note:: **kwargs unsupported by scikit-learn

**kwargs is unsupported by scikit-learn. We do not guarantee
that parameters passed via this argument will interact properly
with scikit-learn.

.. note:: Custom objective function

A custom objective function can be provided for the objective
parameter. In this case, it should have the signature
objective(y_true, y_pred) -> grad, hess:

y_true: array_like of shape [n_samples]
The target values
y_pred: array_like of shape [n_samples]
The predicted values

grad: array_like of shape [n_samples]
The value of the gradient for each sample point.
hess: array_like of shape [n_samples]
The value of the second derivative for each sample point
ReturnsNone
+ + +
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/distributed.models.spark.lgb.html b/distributed.models.spark.lgb.html new file mode 100644 index 00000000..9a8d619d --- /dev/null +++ b/distributed.models.spark.lgb.html @@ -0,0 +1,734 @@ + + + + + + + + + + +mlforecast - SparkLGBMForecast + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

SparkLGBMForecast

+
+ +
+
+ spark LightGBM forecaster +
+
+ + +
+ + + + +
+ + +
+ + +

Wrapper of synapse.ml.lightgbm.LightGBMRegressor that adds an extract_local_model method to get a local version of the trained model and broadcast it to the workers.

+
+
+

SparkLGBMForecast

+
+
 SparkLGBMForecast ()
+
+

Initialize self. See help(type(self)) for accurate signature.

+ + +
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/distributed.models.spark.xgb.html b/distributed.models.spark.xgb.html new file mode 100644 index 00000000..12633c53 --- /dev/null +++ b/distributed.models.spark.xgb.html @@ -0,0 +1,752 @@ + + + + + + + + + + +mlforecast - SparkXGBForecast + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

SparkXGBForecast

+
+ +
+
+ spark XGBoost forecaster +
+
+ + +
+ + + + +
+ + +
+ + +

Wrapper of xgboost.spark.SparkXGBRegressor that adds an extract_local_model method to get a local version of the trained model and broadcast it to the workers.

+
/opt/hostedtoolcache/Python/3.9.18/x64/lib/python3.9/site-packages/fastcore/docscrape.py:225: UserWarning: Unknown section Note
+  else: warn(msg)
+/opt/hostedtoolcache/Python/3.9.18/x64/lib/python3.9/site-packages/fastcore/docscrape.py:225: UserWarning: Unknown section Examples
+  else: warn(msg)
+
+
+

SparkXGBForecast

+
+
 SparkXGBForecast (features_col:Union[str,List[str]]='features',
+                   label_col:str='label', prediction_col:str='prediction',
+                   pred_contrib_col:Optional[str]=None,
+                   validation_indicator_col:Optional[str]=None,
+                   weight_col:Optional[str]=None,
+                   base_margin_col:Optional[str]=None, num_workers:int=1,
+                   use_gpu:Optional[bool]=None, device:Optional[str]=None,
+                   force_repartition:bool=False,
+                   repartition_random_shuffle:bool=False,
+                   enable_sparse_data_optim:bool=False, **kwargs:Any)
+
+

SparkXGBRegressor is a PySpark ML estimator. It implements the XGBoost regression algorithm based on XGBoost python library, and it can be used in PySpark Pipeline and PySpark ML meta algorithms like - :py:class:~pyspark.ml.tuning.CrossValidator/ - :py:class:~pyspark.ml.tuning.TrainValidationSplit/ - :py:class:~pyspark.ml.classification.OneVsRest

+

SparkXGBRegressor automatically supports most of the parameters in :py:class:xgboost.XGBRegressor constructor and most of the parameters used in :py:meth:xgboost.XGBRegressor.fit and :py:meth:xgboost.XGBRegressor.predict method.

+

To enable GPU support, set device to cuda or gpu.

+

SparkXGBRegressor doesn’t support setting base_margin explicitly as well, but support another param called base_margin_col. see doc below for more details.

+

SparkXGBRegressor doesn’t support validate_features and output_margin param.

+

SparkXGBRegressor doesn’t support setting nthread xgboost param, instead, the nthread param for each xgboost worker will be set equal to spark.task.cpus config value.

+ + +
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/docs/getting-started/end_to_end_walkthrough.html b/docs/getting-started/end_to_end_walkthrough.html new file mode 100644 index 00000000..986799cc --- /dev/null +++ b/docs/getting-started/end_to_end_walkthrough.html @@ -0,0 +1,2296 @@ + + + + + + + + + + +mlforecast - End to end walkthrough + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

End to end walkthrough

+
+ +
+
+ Detailed description of all the functionalities that MLForecast provides. +
+
+ + +
+ + + + +
+ + +
+ + +
+

Data setup

+

For this example we’ll use a subset of the M4 hourly dataset. You can find the a notebook with the full dataset here.

+
+
import random
+
+import pandas as pd
+from datasetsforecast.m4 import M4
+from utilsforecast.plotting import plot_series
+
+
+
await M4.async_download('data', group='Hourly')
+df, *_ = M4.load('data', 'Hourly')
+uids = df['unique_id'].unique()
+random.seed(0)
+sample_uids = random.choices(uids, k=4)
+df = df[df['unique_id'].isin(sample_uids)].reset_index(drop=True)
+df['ds'] = df['ds'].astype('int64')
+df
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsy
0H196111.8
1H196211.4
2H196311.1
3H196410.8
4H196510.6
............
4027H413100499.0
4028H413100588.0
4029H413100647.0
4030H413100741.0
4031H413100834.0
+ +

4032 rows × 3 columns

+
+
+
+
+
+

EDA

+

We’ll take a look at our series to get ideas for transformations and features.

+
+
fig = plot_series(df, max_insample_length=24 * 14)
+
+

+

We can use the MLForecast.preprocess method to explore different transformations. It looks like these series have a strong seasonality on the hour of the day, so we can subtract the value from the same hour in the previous day to remove it. This can be done with the mlforecast.target_transforms.Differences transformer, which we pass through target_transforms.

+
+
from mlforecast import MLForecast
+from mlforecast.target_transforms import Differences
+
+
+
fcst = MLForecast(
+    models=[],  # we're not interested in modeling yet
+    freq=1,  # our series have integer timestamps, so we'll just add 1 in every timestep
+    target_transforms=[Differences([24])],
+)
+prep = fcst.preprocess(df)
+prep
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsy
24H196250.3
25H196260.3
26H196270.1
27H196280.2
28H196290.2
............
4027H413100439.0
4028H413100555.0
4029H413100614.0
4030H41310073.0
4031H41310084.0
+ +

3936 rows × 3 columns

+
+
+
+

This has subtacted the lag 24 from each value, we can see what our series look like now.

+
+
fig = plot_series(prep)
+
+

+
+
+

Adding features

+
+

Lags

+

Looks like the seasonality is gone, we can now try adding some lag features.

+
+
fcst = MLForecast(
+    models=[],
+    freq=1,
+    lags=[1, 24],
+    target_transforms=[Differences([24])],    
+)
+prep = fcst.preprocess(df)
+prep
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsylag1lag24
48H196490.10.10.3
49H196500.10.10.3
50H196510.20.10.1
51H196520.10.20.2
52H196530.10.10.2
..................
4027H413100439.029.01.0
4028H413100555.039.0-25.0
4029H413100614.055.0-20.0
4030H41310073.014.00.0
4031H41310084.03.0-16.0
+ +

3840 rows × 5 columns

+
+
+
+
+
prep.drop(columns=['unique_id', 'ds']).corr()['y']
+
+
y        1.000000
+lag1     0.622531
+lag24   -0.234268
+Name: y, dtype: float64
+
+
+
+
+

Lag transforms

+

Lag transforms are defined as a dictionary where the keys are the lags and the values are lists of functions that transform an array. These must be numba jitted functions (so that computing the features doesn’t become a bottleneck). There are some implemented in the window-ops package but you can also implement your own.

+

If the function takes two or more arguments you can either:

+
    +
  • supply a tuple (tfm_func, arg1, arg2, …)
  • +
  • define a new function fixing the arguments
  • +
+
+
from numba import njit
+from window_ops.expanding import expanding_mean
+from window_ops.rolling import rolling_mean
+
+
+
@njit
+def rolling_mean_48(x):
+    return rolling_mean(x, window_size=48)
+
+
+fcst = MLForecast(
+    models=[],
+    freq=1,
+    target_transforms=[Differences([24])],    
+    lag_transforms={
+        1: [expanding_mean],
+        24: [(rolling_mean, 48), rolling_mean_48],
+    },
+)
+prep = fcst.preprocess(df)
+prep
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsyexpanding_mean_lag1rolling_mean_lag24_window_size48rolling_mean_48_lag24
95H196960.10.1746480.1500000.150000
96H196970.30.1736110.1458330.145833
97H196980.30.1753420.1416670.141667
98H196990.30.1770270.1416670.141667
99H1961000.30.1786670.1416670.141667
.....................
4027H413100439.00.2420843.4375003.437500
4028H413100555.00.2816332.7083332.708333
4029H413100614.00.3374112.1250002.125000
4030H41310073.00.3513241.7708331.770833
4031H41310084.00.3540181.2083331.208333
+ +

3652 rows × 6 columns

+
+
+
+

You can see that both approaches get to the same result, you can use whichever one you feel most comfortable with.

+
+
+

Date features

+

If your time column is made of timestamps then it might make sense to extract features like week, dayofweek, quarter, etc. You can do that by passing a list of strings with pandas time/date components. You can also pass functions that will take the time column as input, as we’ll show here.

+
+
def hour_index(times):
+    return times % 24
+
+fcst = MLForecast(
+    models=[],
+    freq=1,
+    target_transforms=[Differences([24])],
+    date_features=[hour_index],
+)
+fcst.preprocess(df)
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsyhour_index
24H196250.31
25H196260.32
26H196270.13
27H196280.24
28H196290.25
...............
4027H413100439.020
4028H413100555.021
4029H413100614.022
4030H41310073.023
4031H41310084.00
+ +

3936 rows × 4 columns

+
+
+
+
+
+

Target transformations

+

If you want to do some transformation to your target before computing the features and then re-apply it after predicting you can use the target_transforms argument, which takes a list of transformations. You can find the implemented ones in mlforecast.target_transforms or you can implement your own as described in the target transformations guide.

+
+
from mlforecast.target_transforms import LocalStandardScaler
+
+
+
fcst = MLForecast(
+    models=[],
+    freq=1,
+    lags=[1],
+    target_transforms=[LocalStandardScaler()]
+)
+fcst.preprocess(df)
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsylag1
1H1962-1.493026-1.383286
2H1963-1.575331-1.493026
3H1964-1.657635-1.575331
4H1965-1.712505-1.657635
5H1966-1.794810-1.712505
...............
4027H41310043.0627662.425012
4028H41310052.5231283.062766
4029H41310060.5117512.523128
4030H41310070.2174030.511751
4031H4131008-0.1260030.217403
+ +

4028 rows × 4 columns

+
+
+
+

We can define a naive model to test this

+
+
from sklearn.base import BaseEstimator
+
+class Naive(BaseEstimator):
+    def fit(self, X, y):
+        return self
+
+    def predict(self, X):
+        return X['lag1']
+
+
+
fcst = MLForecast(
+    models=[Naive()],
+    freq=1,
+    lags=[1],
+    target_transforms=[LocalStandardScaler()]
+)
+fcst.fit(df)
+preds = fcst.predict(1)
+preds
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsNaive
0H196100916.8
1H256100913.4
2H3811009207.0
3H413100934.0
+ +
+
+
+

We compare this with the last values of our serie

+
+
last_vals = df.groupby('unique_id').tail(1)
+last_vals
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsy
1007H196100816.8
2015H256100813.4
3023H3811008207.0
4031H413100834.0
+ +
+
+
+
+
import numpy as np
+
+
+
np.testing.assert_allclose(preds['Naive'], last_vals['y'])
+
+
+
+
+

Training

+

Once you’ve decided the features, transformations and models that you want to use you can use the MLForecast.fit method instead, which will do the preprocessing and then train the models. The models can be specified as a list (which will name them by using their class name and an index if there are repeated classes) or as a dictionary where the keys are the names you want to give to the models, i.e. the name of the column that will hold their predictions, and the values are the models themselves.

+
+
import lightgbm as lgb
+
+
+
lgb_params = {
+    'verbosity': -1,
+    'num_leaves': 512,
+}
+
+fcst = MLForecast(
+    models={
+        'avg': lgb.LGBMRegressor(**lgb_params),
+        'q75': lgb.LGBMRegressor(**lgb_params, objective='quantile', alpha=0.75),
+        'q25': lgb.LGBMRegressor(**lgb_params, objective='quantile', alpha=0.25),
+    },
+    freq=1,
+    target_transforms=[Differences([24])],
+    lags=[1, 24],
+    lag_transforms={
+        1: [expanding_mean],
+        24: [(rolling_mean, 48)],
+    },
+    date_features=[hour_index],
+)
+fcst.fit(df)
+
+
MLForecast(models=[avg, q75, q25], freq=1, lag_features=['lag1', 'lag24', 'expanding_mean_lag1', 'rolling_mean_lag24_window_size48'], date_features=[<function hour_index>], num_threads=1)
+
+
+

This computed the features and trained three different models using them. We can now compute our forecasts.

+
+
+

Forecasting

+
+
preds = fcst.predict(48)
+preds
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsavgq75q25
0H196100916.29525716.38585916.320666
1H196101015.91028216.01272815.856905
2H196101115.72836715.78486715.656658
3H196101215.46841415.50322315.401462
4H196101315.08127915.16360615.048576
..................
187H4131052100.450617116.46189852.276952
188H413105388.426800114.25715850.866960
189H413105459.67573789.67252616.440738
190H413105557.58035684.68094314.248400
191H413105642.66987952.00055912.440984
+ +

192 rows × 5 columns

+
+
+
+
+
fig = plot_series(df, preds, max_insample_length=24 * 7)
+
+

+
+
+

Updating series’ values

+

After you’ve trained a forecast object you can save it and load it to use later using pickle or cloudpickle. If by the time you want to use it you already know the following values of the target you can use the MLForecast.ts.update method to incorporate these, which will allow you to use these new values when computing predictions.

+
    +
  • If no new values are provided for a serie that’s currently stored, only the previous ones are kept.
  • +
  • If new series are included they are added to the existing ones.
  • +
+
+
fcst = MLForecast(
+    models=[Naive()],
+    freq=1,
+    lags=[1, 2, 3],
+)
+fcst.fit(df)
+fcst.predict(1)
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsNaive
0H196100916.8
1H256100913.4
2H3811009207.0
3H413100934.0
+ +
+
+
+
+
new_values = pd.DataFrame({
+    'unique_id': ['H196', 'H256'],
+    'ds': [1009, 1009],
+    'y': [17.0, 14.0],
+})
+fcst.ts.update(new_values)
+preds = fcst.predict(1)
+preds
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsNaive
0H196101017.0
1H256101014.0
2H3811009207.0
3H413100934.0
+ +
+
+
+
+
+

Estimating model performance

+
+

Cross validation

+

In order to get an estimate of how well our model will be when predicting future data we can perform cross validation, which consist on training a few models independently on different subsets of the data, using them to predict a validation set and measuring their performance.

+

Since our data depends on time, we make our splits by removing the last portions of the series and using them as validation sets. This process is implemented in MLForecast.cross_validation.

+
+
fcst = MLForecast(
+    models=lgb.LGBMRegressor(**lgb_params),
+    freq=1,
+    target_transforms=[Differences([24])],
+    lags=[1, 24],
+    lag_transforms={
+        1: [expanding_mean],
+        24: [(rolling_mean, 48)],
+    },
+    date_features=[hour_index],
+)
+cv_result = fcst.cross_validation(
+    df,
+    n_windows=4,  # number of models to train/splits to perform
+    h=48,  # length of the validation set in each window
+)
+cv_result
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddscutoffyLGBMRegressor
0H19681781615.315.383165
1H19681881614.914.923219
2H19681981614.614.667834
3H19682081614.214.275964
4H19682181613.913.973491
..................
187H413100496099.065.644823
188H413100596088.071.717097
189H413100696047.076.704377
190H413100796041.053.446638
191H413100896034.054.902634
+ +

768 rows × 5 columns

+
+
+
+
+
fig = plot_series(cv_result, cv_result.drop(columns='cutoff'), max_insample_length=0)
+
+

+

We can compute the RMSE on each split.

+
+
from utilsforecast.losses import rmse
+
+
+
def evaluate_cv(df):
+    return rmse(df, models=['LGBMRegressor'], id_col='cutoff').set_index('cutoff')
+
+split_rmse = evaluate_cv(cv_result)
+split_rmse
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
LGBMRegressor
cutoff
81629.418172
86434.257598
91213.145763
96035.066261
+ +
+
+
+

And the average RMSE across splits.

+
+
split_rmse.mean()
+
+
LGBMRegressor    27.971949
+dtype: float64
+
+
+

You can quickly try different features and evaluate them this way. We can try removing the differencing and using an exponentially weighted average of the lag 1 instead of the expanding mean.

+
+
from window_ops.ewm import ewm_mean
+
+
+
fcst = MLForecast(
+    models=lgb.LGBMRegressor(**lgb_params),
+    freq=1,
+    lags=[1, 24],
+    lag_transforms={
+        1: [(ewm_mean, 0.5)],
+        24: [(rolling_mean, 48)],      
+    },
+    date_features=[hour_index],    
+)
+cv_result2 = fcst.cross_validation(
+    df,
+    n_windows=4,
+    h=48,
+)
+evaluate_cv(cv_result2).mean()
+
+
LGBMRegressor    25.874446
+dtype: float64
+
+
+
+
+

LightGBMCV

+

In the same spirit of estimating our model’s performance, LightGBMCV allows us to train a few LightGBM models on different partitions of the data. The main differences with MLForecast.cross_validation are:

+
    +
  • It can only train LightGBM models.
  • +
  • It trains all models simultaneously and gives us per-iteration averages of the errors across the complete forecasting window, which allows us to find the best iteration.
  • +
+
+
from mlforecast.lgb_cv import LightGBMCV
+
+
+
cv = LightGBMCV(
+    freq=1,
+    target_transforms=[Differences([24])],
+    lags=[1, 24],
+    lag_transforms={
+        1: [expanding_mean],
+        24: [(rolling_mean, 48)],
+    },
+    date_features=[hour_index],
+    num_threads=2,
+)
+cv_hist = cv.fit(
+    df,
+    n_windows=4,
+    h=48,
+    params=lgb_params,
+    eval_every=5,
+    early_stopping_evals=5,    
+    compute_cv_preds=True,
+)
+
+
[5] mape: 0.158639
+[10] mape: 0.163739
+[15] mape: 0.161535
+[20] mape: 0.169491
+[25] mape: 0.163690
+[30] mape: 0.164198
+Early stopping at round 30
+Using best iteration: 5
+
+
+

As you can see this gives us the error by iteration (controlled by the eval_every argument) and performs early stopping (which can be configured with early_stopping_evals and early_stopping_pct). If you set compute_cv_preds=True the out-of-fold predictions are computed using the best iteration found and are saved in the cv_preds_ attribute.

+
+
cv.cv_preds_
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsyBoosterwindow
0H19681715.315.4731820
1H19681814.915.0385710
2H19681914.614.8494090
3H19682014.214.4483790
4H19682113.914.1483790
..................
187H413100499.061.4253963
188H413100588.062.8868903
189H413100647.057.8868903
190H413100741.038.8490093
191H413100834.044.7205623
+ +

768 rows × 5 columns

+
+
+
+
+
fig = plot_series(cv.cv_preds_, cv.cv_preds_.drop(columns='window'), max_insample_length=0)
+
+

+

You can use this class to quickly try different configurations of features and hyperparameters. Once you’ve found a combination that works you can train a model with those features and hyperparameters on all the data by creating an MLForecast object from the LightGBMCV one as follows:

+
+
final_fcst = MLForecast.from_cv(cv)
+final_fcst.fit(df)
+preds = final_fcst.predict(48)
+fig = plot_series(df, preds, max_insample_length=24 * 14)
+
+

+ + +
+
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/docs/getting-started/install.html b/docs/getting-started/install.html new file mode 100644 index 00000000..435b564c --- /dev/null +++ b/docs/getting-started/install.html @@ -0,0 +1,789 @@ + + + + + + + + + + +mlforecast - Install + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

Install

+
+ +
+
+ Instructions to install the package from different sources. +
+
+ + +
+ + + + +
+ + +
+ + +
+

Released versions

+
+

PyPI

+
+

Latest release

+

To install the latest release of mlforecast from PyPI you just have to run the following in a terminal:

+

pip install mlforecast

+
+
+

Specific version

+

If you want a specific version you can include a filter, for example:

+
    +
  • pip install "mlforecast==0.3.0" to install the 0.3.0 version
  • +
  • pip install "mlforecast<0.4.0" to install any version prior to 0.4.0
  • +
+
+
+
+

Conda

+
+

Latest release

+

The mlforecast package is also published to conda-forge, which you can install by running the following in a terminal:

+

conda install -c conda-forge mlforecast

+

Note that this happens about a day later after it is published to PyPI, so you may have to wait to get the latest release.

+
+
+

Specific version

+

If you want a specific version you can include a filter, for example:

+
    +
  • conda install -c conda-forge "mlforecast==0.3.0" to install the 0.3.0 version
  • +
  • conda install -c conda-forge "mlforecast<0.4.0" to install any version prior to 0.4.0
  • +
+
+
+
+

Distributed training

+

If you want to perform distributed training you can use either dask, ray or spark. Once you know which framework you want to use you can include its extra:

+
    +
  • dask: pip install "mlforecast[dask]"
  • +
  • ray: pip install "mlforecast[ray]"
  • +
  • spark: pip install "mlforecast[spark]"
  • +
+
+
+
+

Development version

+

If you want to try out a new feature that hasn’t made it into a release yet you have the following options:

+
    +
  • Install from github: pip install git+https://github.com/Nixtla/mlforecast
  • +
  • Clone and install: +
      +
    • git clone https://github.com/Nixtla/mlforecast
    • +
    • pip install mlforecast
    • +
  • +
+

which will install the version from the current main branch.

+ + +
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/docs/getting-started/quick_start_distributed.html b/docs/getting-started/quick_start_distributed.html new file mode 100644 index 00000000..e139744f --- /dev/null +++ b/docs/getting-started/quick_start_distributed.html @@ -0,0 +1,1507 @@ + + + + + + + + + + +mlforecast - Quick start (distributed) + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

Quick start (distributed)

+
+ +
+
+ Minimal example of distributed training with MLForecast +
+
+ + +
+ + + + +
+ + +
+ + +

The DistributedMLForecast class is a high level abstraction that encapsulates all the steps in the pipeline (preprocessing, fitting the model and computing predictions) and applies them in a distributed way.

+

The different things that you need to use DistributedMLForecast (as opposed to MLForecast) are:

+
    +
  1. You need to set up a cluster. We currently support dask, ray and spark.
  2. +
  3. Your data needs to be a distributed collection (dask, ray or spark dataframe).
  4. +
  5. You need to use a model that implements distributed training in your framework of choice, e.g. SynapseML for LightGBM in spark.
  6. +
+
+
import matplotlib.pyplot as plt
+import numpy as np
+import pandas as pd
+from window_ops.expanding import expanding_mean
+from window_ops.rolling import rolling_mean
+
+from mlforecast.distributed import DistributedMLForecast
+from mlforecast.target_transforms import Differences
+from mlforecast.utils import backtest_splits, generate_daily_series, generate_prices_for_series
+
+
+

Dask

+
+
import dask.dataframe as dd
+from dask.distributed import Client
+
+
+

Client setup

+
+
client = Client(n_workers=2, threads_per_worker=1)
+
+

Here we define a client that connects to a dask.distributed.LocalCluster, however it could be any other kind of cluster.

+
+
+

Data setup

+

For dask, the data must be a dask.dataframe.DataFrame. You need to make sure that each time serie is only in one partition and it is recommended that you have as many partitions as you have workers. If you have more partitions than workers make sure to set num_threads=1 to avoid having nested parallelism.

+

The required input format is the same as for MLForecast, except that it’s a dask.dataframe.DataFrame instead of a pandas.Dataframe.

+
+
series = generate_daily_series(100, n_static_features=2, equal_ends=True, static_as_categorical=False)
+npartitions = 10
+partitioned_series = dd.from_pandas(series.set_index('unique_id'), npartitions=npartitions)  # make sure we split by the id_col
+partitioned_series = partitioned_series.map_partitions(lambda df: df.reset_index())
+partitioned_series['unique_id'] = partitioned_series['unique_id'].astype(str)  # can't handle categoricals atm
+partitioned_series
+
+
Dask DataFrame Structure:
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsystatic_0static_1
npartitions=10
id_00objectdatetime64[ns]float64int64int64
id_10...............
..................
id_89...............
id_99...............
+ +
+
Dask Name: assign, 5 graph layers
+
+
+
+
+

Models

+

In order to perform distributed forecasting, we need to use a model that is able to train in a distributed way using dask. The current implementations are in DaskLGBMForecast and DaskXGBForecast which are just wrappers around the native implementations.

+
+
from mlforecast.distributed.models.dask.lgb import DaskLGBMForecast
+from mlforecast.distributed.models.dask.xgb import DaskXGBForecast
+
+
+
models = [DaskXGBForecast(random_state=0), DaskLGBMForecast(random_state=0)]
+
+
+
+

Training

+

Once we have our models we instantiate a DistributedMLForecast object defining our features. We can then call fit on this object passing our dask dataframe.

+
+
fcst = DistributedMLForecast(
+    models=models,
+    freq='D',
+    lags=[7],
+    lag_transforms={
+        1: [expanding_mean],
+        7: [(rolling_mean, 14)]
+    },
+    date_features=['dayofweek', 'month'],
+    num_threads=1,
+    engine=client,
+)
+fcst.fit(partitioned_series)
+
+

Once we have our fitted models we can compute the predictions for the next 7 timesteps.

+
+
+

Forecasting

+
+
preds = fcst.predict(7)
+preds.compute().head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsDaskXGBForecastDaskLGBMForecast
0id_002001-05-15421.880432421.607612
1id_002001-05-16503.725891501.287188
2id_002001-05-1721.74579420.218114
3id_002001-05-18103.609970103.614699
4id_002001-05-19184.415192184.327408
+ +
+
+
+
+
+

Cross validation

+
+
cv_res = fcst.cross_validation(
+    partitioned_series,
+    n_windows=2,
+    h=14,
+)
+cv_res
+
+
+
cv_res.compute().head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsDaskXGBForecastDaskLGBMForecastcutoffy
0id_002001-04-17416.596832414.7463592001-04-16404.993322
1id_002001-04-18501.541565495.2924672001-04-16508.883226
2id_002001-04-1922.66392120.4046742001-04-161.218119
3id_002001-04-20100.937668100.7205642001-04-16109.879770
4id_002001-04-21184.458405188.6458392001-04-16163.703847
+ +
+
+
+
+
client.close()
+
+
+
+
+

Spark

+
+

Session setup

+
+
from pyspark.sql import SparkSession
+
+
+
spark = (
+    SparkSession
+    .builder
+    .config("spark.jars.packages", "com.microsoft.azure:synapseml_2.12:0.10.2")
+    .config("spark.jars.repositories", "https://mmlspark.azureedge.net/maven")
+    .getOrCreate()
+)
+
+
+
+

Data setup

+

For spark, the data must be a pyspark DataFrame. You need to make sure that each time serie is only in one partition (which you can do using repartitionByRange, for example) and it is recommended that you have as many partitions as you have workers. If you have more partitions than workers make sure to set num_threads=1 to avoid having nested parallelism.

+

The required input format is the same as for MLForecast, i.e. it should have at least an id column, a time column and a target column.

+
+
numPartitions = 4
+series = generate_daily_series(100, n_static_features=2, equal_ends=True, static_as_categorical=False)
+spark_series = spark.createDataFrame(series).repartitionByRange(numPartitions, 'unique_id')
+
+
+
+

Models

+

In order to perform distributed forecasting, we need to use a model that is able to train in a distributed way using spark. The current implementations are in SparkLGBMForecast and SparkXGBForecast which are just wrappers around the native implementations.

+
+
from mlforecast.distributed.models.spark.lgb import SparkLGBMForecast
+
+models = [SparkLGBMForecast()]
+try:
+    from xgboost.spark import SparkXGBRegressor
+    from mlforecast.distributed.models.spark.xgb import SparkXGBForecast
+    models.append(SparkXGBForecast())
+except ModuleNotFoundError:  # py < 38
+    pass
+
+
+
+

Training

+
+
fcst = DistributedMLForecast(
+    models,
+    freq='D',
+    lags=[1],
+    lag_transforms={
+        1: [expanding_mean]
+    },
+    date_features=['dayofweek'],
+)
+fcst.fit(
+    spark_series,
+    static_features=['static_0', 'static_1'],
+)
+
+
+
+

Forecasting

+
+
preds = fcst.predict(14)
+
+
+
preds.toPandas().head()
+
+
/hdd/miniforge3/envs/mlforecast/lib/python3.10/site-packages/pyspark/sql/pandas/conversion.py:251: FutureWarning: Passing unit-less datetime64 dtype to .astype is deprecated and will raise in a future version. Pass 'datetime64[ns]' instead
+  series = series.astype(t, copy=False)
+
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsSparkLGBMForecastSparkXGBForecast
0id_002001-05-15422.139843421.606537
1id_002001-05-16497.180212505.575836
2id_002001-05-1713.06247815.462178
3id_002001-05-18100.601041102.123245
4id_002001-05-19180.707848182.308197
+ +
+
+
+
+
+

Cross validation

+
+
cv_res = fcst.cross_validation(
+    spark_series,
+    n_windows=2,
+    h=14,
+).toPandas()
+
+
+
cv_res.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsSparkLGBMForecastSparkXGBForecastcutoffy
0id_212001-04-2892.87094558.2196312001-04-1658.044008
1id_042001-04-23114.502043117.1340182001-04-16118.452839
2id_182001-04-1782.59765986.9923482001-04-1680.416969
3id_202001-04-21230.254435237.2352142001-04-16230.352460
4id_232001-04-17426.386288419.3805242001-04-16432.918548
+ +
+
+
+
+
spark.stop()
+
+
+
+
+

Ray

+
+

Session setup

+
+
import ray
+from ray.cluster_utils import Cluster
+
+
+
ray_cluster = Cluster(
+    initialize_head=True,
+    head_node_args={"num_cpus": 2}
+)
+ray.init(address=ray_cluster.address, ignore_reinit_error=True)
+# add mock node to simulate a cluster
+mock_node = ray_cluster.add_node(num_cpus=2)
+
+
+
+

Data setup

+

For ray, the data must be a ray DataFrame. It is recommended that you have as many partitions as you have workers. If you have more partitions than workers make sure to set num_threads=1 to avoid having nested parallelism.

+

The required input format is the same as for MLForecast, i.e. it should have at least an id column, a time column and a target column.

+
+
series = generate_daily_series(100, n_static_features=2, equal_ends=True, static_as_categorical=False)
+# we need noncategory unique_id
+series['unique_id'] = series['unique_id'].astype(str)
+ray_series = ray.data.from_pandas(series)
+
+
+
+

Models

+

The ray integration allows to include lightgbm (RayLGBMRegressor), and xgboost (RayXGBRegressor).

+
+
from mlforecast.distributed.models.ray.lgb import RayLGBMForecast
+from mlforecast.distributed.models.ray.xgb import RayXGBForecast
+
+
+
models = [
+    RayLGBMForecast(),
+    RayXGBForecast(),
+]
+
+
+
+

Training

+

To control the number of partitions to use using Ray, we have to include num_partitions to DistributedMLForecast.

+
+
num_partitions = 4
+
+
+
fcst = DistributedMLForecast(
+    models,
+    freq='D',
+    lags=[1],
+    lag_transforms={
+        1: [expanding_mean]
+    },
+    date_features=['dayofweek'],
+    num_partitions=num_partitions, # Use num_partitions to reduce overhead
+)
+fcst.fit(
+    ray_series,
+    static_features=['static_0', 'static_1'],
+)
+
+
+
+

Forecasting

+
+
preds = fcst.predict(14).to_pandas()
+
+
+
preds.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsRayLGBMForecastRayXGBForecast
0id_002001-05-15422.139843419.180908
1id_002001-05-16497.180212502.074249
2id_002001-05-1713.06247816.981802
3id_002001-05-18100.601041102.311279
4id_002001-05-19180.707848181.406143
+ +
+
+
+
+
+

Cross validation

+
+
cv_res = fcst.cross_validation(
+    ray_series,
+    n_windows=2,
+    h=14,
+).to_pandas()
+
+
+
cv_res.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsRayLGBMForecastRayXGBForecastcutoffy
0id_102001-04-1729.91252127.2724742001-04-1634.156241
1id_102001-04-1857.58980050.4325142001-04-1653.208507
2id_102001-04-1976.75074175.0656812001-04-1671.920677
3id_102001-04-20101.29795498.8461382001-04-16102.347087
4id_102001-04-21117.002167120.9249112001-04-16119.019914
+ +
+
+
+
+
ray.shutdown()
+
+ + +
+
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/docs/getting-started/quick_start_local.html b/docs/getting-started/quick_start_local.html new file mode 100644 index 00000000..9292fcf2 --- /dev/null +++ b/docs/getting-started/quick_start_local.html @@ -0,0 +1,985 @@ + + + + + + + + + + +mlforecast - Quick start (local) + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

Quick start (local)

+
+ +
+
+ Minimal example of MLForecast +
+
+ + +
+ + + + +
+ + +
+ + +
+

Main concepts

+

The main component of mlforecast is the MLForecast class, which abstracts away:

+
    +
  • Feature engineering and model training through MLForecast.fit
  • +
  • Feature updates and multi step ahead predictions through MLForecast.predict
  • +
+
+
+

Data format

+

The data is expected to be a pandas dataframe in long format, that is, each row represents an observation of a single serie at a given time, with at least three columns:

+
    +
  • id_col: column that identifies each serie.
  • +
  • target_col: column that has the series values at each timestamp.
  • +
  • time_col: column that contains the time the series value was observed. These are usually timestamps, but can also be consecutive integers.
  • +
+

Here we present an example using the classic Box & Jenkins airline data, which measures monthly totals of international airline passengers from 1949 to 1960. Source: Box, G. E. P., Jenkins, G. M. and Reinsel, G. C. (1976) Time Series Analysis, Forecasting and Control. Third Edition. Holden-Day. Series G.

+
+
import pandas as pd
+from utilsforecast.plotting import plot_series
+
+
+
df = pd.read_csv('https://datasets-nixtla.s3.amazonaws.com/air-passengers.csv', parse_dates=['ds'])
+df.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsy
0AirPassengers1949-01-01112
1AirPassengers1949-02-01118
2AirPassengers1949-03-01132
3AirPassengers1949-04-01129
4AirPassengers1949-05-01121
+ +
+
+
+
+
df['unique_id'].value_counts()
+
+
AirPassengers    144
+Name: unique_id, dtype: int64
+
+
+

Here the unique_id column has the same value for all rows because this is a single time series, you can have multiple time series by stacking them together and having a column that differentiates them.

+

We also have the ds column that contains the timestamps, in this case with a monthly frequency, and the y column that contains the series values in each timestamp.

+
+
+

Modeling

+
+
fig = plot_series(df)
+
+

+

We can see that the serie has a clear trend, so we can take the first difference, i.e. take each value and subtract the value at the previous month. This can be achieved by passing an mlforecast.target_transforms.Differences([1]) instance to target_transforms.

+

We can then train a linear regression using the value from the same month at the previous year (lag 12) as a feature, this is done by passing lags=[12].

+
+
from mlforecast import MLForecast
+from mlforecast.target_transforms import Differences
+from sklearn.linear_model import LinearRegression
+
+
+
fcst = MLForecast(
+    models=LinearRegression(),
+    freq='MS',  # our serie has a monthly frequency
+    lags=[12],
+    target_transforms=[Differences([1])],
+)
+fcst.fit(df)
+
+
MLForecast(models=[LinearRegression], freq=<MonthBegin>, lag_features=['lag12'], date_features=[], num_threads=1)
+
+
+

The previous line computed the features and trained the model, so now we’re ready to compute our forecasts.

+
+
+

Forecasting

+

Compute the forecast for the next 12 months

+
+
preds = fcst.predict(12)
+preds
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsLinearRegression
0AirPassengers1961-01-01444.656555
1AirPassengers1961-02-01417.470734
2AirPassengers1961-03-01446.903046
3AirPassengers1961-04-01491.014130
4AirPassengers1961-05-01502.622223
5AirPassengers1961-06-01568.751465
6AirPassengers1961-07-01660.044312
7AirPassengers1961-08-01643.343323
8AirPassengers1961-09-01540.666687
9AirPassengers1961-10-01491.462708
10AirPassengers1961-11-01417.095154
11AirPassengers1961-12-01461.206238
+ +
+
+
+
+
+

Visualize results

+

We can visualize what our prediction looks like.

+
+
fig = plot_series(df, preds)
+
+

+

And that’s it! You’ve trained a linear regression to predict the air passengers for 1961.

+ + +
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/docs/how-to-guides/analyzing_models.html b/docs/how-to-guides/analyzing_models.html new file mode 100644 index 00000000..25d32e30 --- /dev/null +++ b/docs/how-to-guides/analyzing_models.html @@ -0,0 +1,1130 @@ + + + + + + + + + + +mlforecast - Analyzing the trained models + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

Analyzing the trained models

+
+ +
+
+ Access and interpret the models after fitting +
+
+ + +
+ + + + +
+ + +
+ + +
+

Data setup

+
+
from mlforecast.utils import generate_daily_series
+
+
+
series = generate_daily_series(10)
+series.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsy
0id_02000-01-010.322947
1id_02000-01-021.218794
2id_02000-01-032.445887
3id_02000-01-043.481831
4id_02000-01-054.191721
+ +
+
+
+
+
+

Training

+

Suppose that you want to train a linear regression model using the day of the week and lag1 as features.

+
+
from sklearn.linear_model import LinearRegression
+
+from mlforecast import MLForecast
+
+
+
fcst = MLForecast(
+    freq='D',
+    models={'lr': LinearRegression()},
+    lags=[1],
+    date_features=['dayofweek'],
+)
+
+
+
fcst.fit(series)
+
+
MLForecast(models=[lr], freq=<Day>, lag_features=['lag1'], date_features=['dayofweek'], num_threads=1)
+
+
+

What MLForecast.fit does is save the required data for the predict step and also train the models (in this case the linear regression). The trained models are available in the MLForecast.models_ attribute, which is a dictionary where the keys are the model names and the values are the model themselves.

+
+
fcst.models_
+
+
{'lr': LinearRegression()}
+
+
+
+
+

Inspect parameters

+

We can access the linear regression coefficients in the following way:

+
+
fcst.models_['lr'].intercept_, fcst.models_['lr'].coef_
+
+
(3.2476337167384415, array([ 0.19896416, -0.21441331]))
+
+
+
+
+

SHAP

+
+
import shap
+
+
+

Training set

+

If you need to generate the training data you can use MLForecast.preprocess.

+
+
prep = fcst.preprocess(series)
+prep.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsylag1dayofweek
1id_02000-01-021.2187940.3229476
2id_02000-01-032.4458871.2187940
3id_02000-01-043.4818312.4458871
4id_02000-01-054.1917213.4818312
5id_02000-01-065.3958634.1917213
+ +
+
+
+

We extract the X, which involves dropping the info columns (id + times) and the target

+
+
X = prep.drop(columns=['unique_id', 'ds', 'y'])
+X.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
lag1dayofweek
10.3229476
21.2187940
32.4458871
43.4818312
54.1917213
+ +
+
+
+

We can now compute the shap values

+
+
X100 = shap.utils.sample(X, 100)
+explainer = shap.Explainer(fcst.models_['lr'].predict, X100)
+shap_values = explainer(X)
+
+

And visualize them

+
+
shap.plots.beeswarm(shap_values)
+
+

+
+
+
+
+

Predictions

+

Sometimes you want to determine why the model gave a specific prediction. In order to do this you need the input features, which aren’t returned by default, but you can retrieve them using a callback.

+
+
from mlforecast.callbacks import SaveFeatures
+
+
+
save_feats = SaveFeatures()
+preds = fcst.predict(1, before_predict_callback=save_feats)
+preds.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddslr
0id_02000-08-103.468643
1id_12000-04-073.016877
2id_22000-06-162.815249
3id_32000-08-304.048894
4id_42001-01-083.524532
+ +
+
+
+

You can now retrieve the features by using SaveFeatures.get_features

+
+
features = save_feats.get_features()
+features.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
lag1dayofweek
04.3437443
13.1507994
22.1374124
36.1824562
41.3916980
+ +
+
+
+

And use those features to compute the shap values.

+
+
shap_values_predictions = explainer(features)
+
+

We can now analyze what influenced the prediction for 'id_4'.

+
+
round(preds.loc[4, 'lr'], 3)
+
+
3.525
+
+
+
+
shap.plots.waterfall(shap_values_predictions[4])
+
+

+
+
+ + +
+
+ +

Give us a ⭐ on Github

+ +
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+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

Cross validation

+
+ +
+
+ In this example, we’ll implement time series cross-validation to evaluate model’s performance. +
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+ + +
+ + + + +
+ + +
+ + +
+ +
+
+

This tutorial assumes basic familiarity with MLForecast. For a minimal example visit the Quick Start

+
+
+
+
+

Introduction

+

Time series cross-validation is a method for evaluating how a model would have performed in the past. It works by defining a sliding window across the historical data and predicting the period following it.

+

+

MLForecast has an implementation of time series cross-validation that is fast and easy to use. This implementation makes cross-validation a efficient operation, which makes it less time-consuming. In this notebook, we’ll use it on a subset of the M4 Competition hourly dataset.

+

Outline:

+
    +
  1. Install libraries
  2. +
  3. Load and explore data
  4. +
  5. Train model
  6. +
  7. Perform time series cross-validation
  8. +
  9. Evaluate results
  10. +
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+
+
+ +
+
+Tip +
+
+
+

You can use Colab to run this Notebook interactively Open In Colab

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+
+
+

Install libraries

+

We assume that you have MLForecast already installed. If not, check this guide for instructions on how to install MLForecast.

+

Install the necessary packages with pip install mlforecast.

+
+
# pip install mlforecast lightgbm
+
+
+
import pandas as pd 
+
+from utilsforecast.plotting import plot_series
+
+from mlforecast import MLForecast # required to instantiate MLForecast object and use cross-validation method
+
+
+
+

Load and explore the data

+

As stated in the introduction, we’ll use the M4 Competition hourly dataset. We’ll first import the data from an URL using pandas.

+
+
Y_df = pd.read_csv('https://datasets-nixtla.s3.amazonaws.com/m4-hourly.csv') # load the data 
+Y_df.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsy
0H11605.0
1H12586.0
2H13586.0
3H14559.0
4H15511.0
+ +
+
+
+

The input to MLForecast is a data frame in long format with three columns: unique_id, ds and y:

+
    +
  • The unique_id (string, int, or category) represents an identifier for the series.
  • +
  • The ds (datestamp or int) column should be either an integer indexing time or a datestamp in format YYYY-MM-DD or YYYY-MM-DD HH:MM:SS.
  • +
  • The y (numeric) represents the measurement we wish to forecast.
  • +
+

The data in this example already has this format, so no changes are needed.

+

We can plot the time series we’ll work with using the following function.

+
+
fig = plot_series(Y_df, max_ids=4, plot_random=False, max_insample_length=24 * 14)
+
+

+
+
+

Define forecast object

+

For this example, we’ll use LightGBM. We first need to import it and then we need to instantiate a new MLForecast object.

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In this example, we are only using differences and lags to produce features. See the full documentation to see all available features.

+

Any settings are passed into the constructor. Then you call its fit method and pass in the historical data frame df.

+
+
import lightgbm as lgb
+from mlforecast.target_transforms import Differences
+
+
+
models = [lgb.LGBMRegressor(verbosity=-1)]
+
+mlf = MLForecast(
+    models = models, 
+    freq = 1,# our series have integer timestamps, so we'll just add 1 in every timeste, 
+    target_transforms=[Differences([24])],
+    lags=range(1, 25, 1)
+)
+
+
+
+

Perform time series cross-validation

+

Once the MLForecast object has been instantiated, we can use the cross_validation method.

+

For this particular example, we’ll use 3 windows of 24 hours.

+
+
crossvalidation_df = mlf.cross_validation(
+    df=Y_df,
+    h=24,
+    n_windows=3,
+)
+
+

The crossvaldation_df object is a new data frame that includes the following columns:

+
    +
  • unique_id: identifies each time series.
  • +
  • ds: datestamp or temporal index.
  • +
  • cutoff: the last datestamp or temporal index for the n_windows.
  • +
  • y: true value
  • +
  • "model": columns with the model’s name and fitted value.
  • +
+
+
crossvalidation_df.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddscutoffyLGBMRegressor
0H1677676691.0673.703191
1H1678676618.0552.306270
2H1679676563.0541.778027
3H1680676529.0502.778027
4H1681676504.0480.778027
+ +
+
+
+

We’ll now plot the forecast for each cutoff period.

+
+
import matplotlib.pyplot as plt
+
+
+
def plot_cv(df, df_cv, uid, fname, last_n=24 * 14):
+    cutoffs = df_cv.query('unique_id == @uid')['cutoff'].unique()
+    fig, ax = plt.subplots(nrows=len(cutoffs), ncols=1, figsize=(14, 6), gridspec_kw=dict(hspace=0.8))
+    for cutoff, axi in zip(cutoffs, ax.flat):
+        df.query('unique_id == @uid').tail(last_n).set_index('ds').plot(ax=axi, title=uid, y='y')
+        df_cv.query('unique_id == @uid & cutoff == @cutoff').set_index('ds').plot(ax=axi, title=uid, y='LGBMRegressor')
+    fig.savefig(fname, bbox_inches='tight')
+    plt.close()
+
+
+
plot_cv(Y_df, crossvalidation_df, 'H1', '../../figs/cross_validation__predictions.png')
+
+

+

Notice that in each cutoff period, we generated a forecast for the next 24 hours using only the data y before said period.

+
+
+

Evaluate results

+

We can now compute the accuracy of the forecast using an appropiate accuracy metric. Here we’ll use the Root Mean Squared Error (RMSE). To do this, we can use utilsforecast, a Python library developed by Nixtla that includes a function to compute the RMSE.

+
+
from utilsforecast.losses import rmse
+
+

We’ll compute the rmse per time series and cutoff. To do this we’ll concatenate the id and the cutoff columns, then we will take the mean of the results.

+
+
crossvalidation_df['id_cutoff'] = crossvalidation_df['unique_id'] + '_' + crossvalidation_df['cutoff'].astype(str)
+cv_rmse = rmse(crossvalidation_df, models=['LGBMRegressor'], id_col='id_cutoff')['LGBMRegressor'].mean()
+print("RMSE using cross-validation: ", cv_rmse)
+
+
RMSE using cross-validation:  249.90517171185527
+
+
+

This measure should better reflect the predictive abilities of our model, since it used different time periods to test its accuracy.

+
+
+

References

+

Rob J. Hyndman and George Athanasopoulos (2018). “Forecasting principles and practice, Time series cross-validation”.

+ + +
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/docs/how-to-guides/custom_date_features.html b/docs/how-to-guides/custom_date_features.html new file mode 100644 index 00000000..534da157 --- /dev/null +++ b/docs/how-to-guides/custom_date_features.html @@ -0,0 +1,875 @@ + + + + + + + + + + +mlforecast - Custom date features + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

Custom date features

+
+ +
+
+ Define your own functions to be used as date features +
+
+ + +
+ + + + +
+ + +
+ + +
+
from mlforecast import MLForecast
+from mlforecast.utils import generate_daily_series
+
+

The date_features argument of MLForecast can take pandas date attributes as well as functions that take a pandas DatetimeIndex and return a numeric value. The name of the function is used as the name of the feature, so please use unique and descriptive names.

+
+
series = generate_daily_series(1, min_length=6, max_length=6)
+
+
+
def even_day(dates):
+    """Day of month is even"""
+    return dates.day % 2 == 0
+
+def month_start_or_end(dates):
+    """Date is month start or month end"""
+    return dates.is_month_start | dates.is_month_end
+
+def is_monday(dates):
+    """Date is monday"""
+    return dates.dayofweek == 0
+
+
+
fcst = MLForecast(
+    [],
+    freq='D',
+    date_features=['dayofweek', 'dayofyear', even_day, month_start_or_end, is_monday]
+)
+fcst.preprocess(series)
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsydayofweekdayofyeareven_daymonth_start_or_endis_monday
0id_02000-01-010.27440751FalseTrueFalse
1id_02000-01-021.35759562TrueFalseFalse
2id_02000-01-032.30138203FalseFalseTrue
3id_02000-01-043.27244214TrueFalseFalse
4id_02000-01-054.21182725FalseFalseFalse
5id_02000-01-065.32294736TrueFalseFalse
+ +
+
+
+ + + +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/docs/how-to-guides/custom_training.html b/docs/how-to-guides/custom_training.html new file mode 100644 index 00000000..36e8ccda --- /dev/null +++ b/docs/how-to-guides/custom_training.html @@ -0,0 +1,938 @@ + + + + + + + + + + +mlforecast - Custom training + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

Custom training

+
+ +
+
+ Customize the training procedure for your models +
+
+ + +
+ + + + +
+ + +
+ + +

mlforecast abstracts away most of the training details, which is useful for iterating quickly. However, sometimes you want more control over the fit parameters, the data that goes into the model, etc. This guide shows how you can train a model in a specific way and then giving it back to mlforecast to produce forecasts with it.

+
+

Data setup

+
+
from mlforecast.utils import generate_daily_series
+
+
+
series = generate_daily_series(5)
+
+
+
+

Creating forecast object

+
+
import numpy as np
+from lightgbm import LGBMRegressor
+
+from mlforecast import MLForecast
+
+

Instantiate the forecast object without any models.

+
+
fcst = MLForecast(
+    freq='D',    
+    models={},
+    date_features=['dayofweek'],
+)
+
+
+
+

Generate training set

+

Use MLForecast.preprocess to generate the training data.

+
+
prep = fcst.preprocess(series)
+prep.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsydayofweek
0id_02000-01-010.4289735
1id_02000-01-021.4236266
2id_02000-01-032.3117820
3id_02000-01-043.1921911
4id_02000-01-054.1487672
+ +
+
+
+
+
X = prep.drop(columns=['unique_id', 'ds', 'y'])
+y = prep['y']
+
+
+
+

Training

+

Let’s say you want to use sample weights to train the model, here we just use random weights for simplicity.

+
+
rng = np.random.RandomState(0)
+weights = rng.rand(y.size)
+
+

We train the model as we normally would and provide the weights through the sample_weight argument.

+
+
model = LGBMRegressor(verbosity=-1).fit(X, y, sample_weight=weights)
+
+
+
+

Computing forecasts

+

Now we just assign this model to the MLForecast.models_ attribute. Note that you can assign as many models as you want.

+
+
fcst.models_ = {'lgbm': model, 'same_lgbm': model}
+
+

And now when calling MLForecast.predict mlforecast will use those models to compute the forecasts.

+
+
fcst.predict(1)
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddslgbmsame_lgbm
0id_02000-08-103.6424563.642456
1id_12000-04-074.8086184.808618
2id_22000-06-164.8086184.808618
3id_32000-08-302.7771292.777129
4id_42001-01-083.4046313.404631
+ +
+
+
+ + +
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/docs/how-to-guides/exogenous_features.html b/docs/how-to-guides/exogenous_features.html new file mode 100644 index 00000000..006be681 --- /dev/null +++ b/docs/how-to-guides/exogenous_features.html @@ -0,0 +1,1053 @@ + + + + + + + + + + +mlforecast - Exogenous features + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

Exogenous features

+
+ +
+
+ Use exogenous regressors for training and predicting +
+
+ + +
+ + + + +
+ + +
+ + +
+
import lightgbm as lgb
+import pandas as pd
+from mlforecast import MLForecast
+from mlforecast.utils import generate_daily_series, generate_prices_for_series
+from window_ops.expanding import expanding_mean
+from window_ops.rolling import rolling_mean
+
+
+

Data setup

+
+
series = generate_daily_series(
+    100, equal_ends=True, n_static_features=2
+).rename(columns={'static_1': 'product_id'})
+series.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsystatic_0product_id
0id_002000-10-0539.8119837945
1id_002000-10-06103.2740137945
2id_002000-10-07176.5747447945
3id_002000-10-08258.9879007945
4id_002000-10-09344.9404047945
+ +
+
+
+

In mlforecast the required columns are the series identifier, time and target. Any extra columns you have, like static_0 and product_id here are considered to be static and are replicated when constructing the features for the next timestamp. You can disable this by passing static_features to MLForecast.preprocess or MLForecast.fit, which will only keep the columns you define there as static. Keep in mind that all features in your input dataframe will be used for training, so you’ll have to provide the future values of exogenous features to MLForecast.predict through the X_df argument.

+

Consider the following example. Suppose that we have a prices catalog for each id and date.

+
+
prices_catalog = generate_prices_for_series(series)
+prices_catalog.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
dsunique_idprice
02000-10-05id_000.548814
12000-10-06id_000.715189
22000-10-07id_000.602763
32000-10-08id_000.544883
42000-10-09id_000.423655
+ +
+
+
+

And that you have already merged these prices into your series dataframe.

+
+
series_with_prices = series.merge(prices_catalog, how='left')
+series_with_prices.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsystatic_0product_idprice
0id_002000-10-0539.81198379450.548814
1id_002000-10-06103.27401379450.715189
2id_002000-10-07176.57474479450.602763
3id_002000-10-08258.98790079450.544883
4id_002000-10-09344.94040479450.423655
+ +
+
+
+

This dataframe will be passed to MLForecast.fit (or MLForecast.preprocess). However, since the price is dynamic we have to tell that method that only static_0 and product_id are static.

+
+
fcst = MLForecast(
+    models=lgb.LGBMRegressor(n_jobs=1, random_state=0, verbosity=-1),
+    freq='D',
+    lags=[7],
+    lag_transforms={
+        1: [expanding_mean],
+        7: [(rolling_mean, 14)]
+    },
+    date_features=['dayofweek', 'month'],
+    num_threads=2,
+)
+fcst.fit(series_with_prices, static_features=['static_0', 'product_id'])
+
+
MLForecast(models=[LGBMRegressor], freq=<Day>, lag_features=['lag7', 'expanding_mean_lag1', 'rolling_mean_lag7_window_size14'], date_features=['dayofweek', 'month'], num_threads=2)
+
+
+

The features used for training are stored in MLForecast.ts.features_order_. As you can see price was used for training.

+
+
fcst.ts.features_order_
+
+
['static_0',
+ 'product_id',
+ 'price',
+ 'lag7',
+ 'expanding_mean_lag1',
+ 'rolling_mean_lag7_window_size14',
+ 'dayofweek',
+ 'month']
+
+
+

So in order to update the price in each timestep we just call MLForecast.predict with our forecast horizon and pass the prices catalog through X_df.

+
+
preds = fcst.predict(h=7, X_df=prices_catalog)
+preds.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsLGBMRegressor
0id_002001-05-15418.930093
1id_002001-05-16499.487368
2id_002001-05-1720.321885
3id_002001-05-18102.310778
4id_002001-05-19185.340281
+ +
+
+
+ + +
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/docs/how-to-guides/one_model_per_horizon.html b/docs/how-to-guides/one_model_per_horizon.html new file mode 100644 index 00000000..defe8b32 --- /dev/null +++ b/docs/how-to-guides/one_model_per_horizon.html @@ -0,0 +1,889 @@ + + + + + + + + + + +mlforecast - One model per step + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

One model per step

+
+ +
+
+ Train one model to predict each step of the forecasting horizon +
+
+ + +
+ + + + +
+ + +
+ + +

By default mlforecast uses the recursive strategy, i.e. a model is trained to predict the next value and if we’re predicting several values we do it one at a time and then use the model’s predictions as the new target, recompute the features and predict the next step.

+

There’s another approach where if we want to predict 10 steps ahead we train 10 different models, where each model is trained to predict the value at each specific step, i.e. one model predicts the next value, another one predicts the value two steps ahead and so on. This can be very time consuming but can also provide better results. If you want to use this approach you can specify max_horizon in MLForecast.fit, which will train that many models and each model will predict its corresponding horizon when you call MLForecast.predict.

+
+

Setup

+
+
import random
+import lightgbm as lgb
+import pandas as pd
+from datasetsforecast.m4 import M4, M4Info
+from utilsforecast.evaluation import evaluate
+from utilsforecast.losses import smape
+from window_ops.ewm import ewm_mean
+from window_ops.rolling import rolling_mean
+
+from mlforecast import MLForecast
+from mlforecast.target_transforms import Differences
+
+
+

Data

+

We will use four random series from the M4 dataset

+
+
group = 'Hourly'
+await M4.async_download('data', group=group)
+df, *_ = M4.load(directory='data', group=group)
+df['ds'] = df['ds'].astype('int')
+ids = df['unique_id'].unique()
+random.seed(0)
+sample_ids = random.choices(ids, k=4)
+sample_df = df[df['unique_id'].isin(sample_ids)]
+info = M4Info[group]
+horizon = info.horizon
+valid = sample_df.groupby('unique_id').tail(horizon)
+train = sample_df.drop(valid.index)
+
+
+
def avg_smape(df):
+    """Computes the SMAPE by serie and then averages it across all series."""
+    full = df.merge(valid)
+    return (
+        evaluate(full, metrics=[smape])
+        .drop(columns='metric')
+        .set_index('unique_id')
+        .squeeze()
+    )
+
+
+
+
+

Model

+
+
fcst = MLForecast(
+    models=lgb.LGBMRegressor(random_state=0, verbosity=-1),
+    lags=[24 * (i+1) for i in range(7)],
+    lag_transforms={
+        1: [(rolling_mean, 24)],
+        24: [(rolling_mean, 24)],
+        48: [(ewm_mean, 0.3)],
+    },
+    num_threads=1,
+    target_transforms=[Differences([24])],
+)
+
+
+
horizon = 24
+# the following will train 24 models, one for each horizon
+individual_fcst = fcst.fit(train, max_horizon=horizon)
+individual_preds = individual_fcst.predict(horizon)
+avg_smape_individual = avg_smape(individual_preds).rename('individual')
+# the following will train a single model and use the recursive strategy
+recursive_fcst = fcst.fit(train)
+recursive_preds = recursive_fcst.predict(horizon)
+avg_smape_recursive = avg_smape(recursive_preds).rename('recursive')
+# results
+print('Average SMAPE per method and serie')
+avg_smape_individual.to_frame().join(avg_smape_recursive).applymap('{:.1%}'.format)
+
+
Average SMAPE per method and serie
+
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
individualrecursive
unique_id
H1960.3%0.3%
H2560.4%0.3%
H38120.9%9.5%
H41311.9%13.6%
+ +
+
+
+ + +
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/docs/how-to-guides/predict_callbacks.html b/docs/how-to-guides/predict_callbacks.html new file mode 100644 index 00000000..704c8c0c --- /dev/null +++ b/docs/how-to-guides/predict_callbacks.html @@ -0,0 +1,956 @@ + + + + + + + + + + +mlforecast - Predict callbacks + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

Predict callbacks

+
+ +
+
+ Get access to the input features and predictions in each forecasting horizon +
+
+ + +
+ + + + +
+ + +
+ + +

If you want to do something to the input before predicting or something to the output before it gets used to update the target (and thus the next features that rely on lags), you can pass a function to run at any of these times.

+

Here are a couple of examples:

+
+
import lightgbm as lgb
+import numpy as np
+from IPython.display import display
+
+from mlforecast import MLForecast
+from mlforecast.utils import generate_daily_series
+
+
+
series = generate_daily_series(1)
+
+
+

Before predicting

+
+

Inspecting the input

+

We can define a function that displays our input dataframe before predicting.

+
+
def inspect_input(new_x):
+    """Displays the model inputs to inspect them"""
+    display(new_x)
+    return new_x
+
+

And now we can pass this function to the before_predict_callback argument of MLForecast.predict.

+
+
fcst = MLForecast(lgb.LGBMRegressor(verbosity=-1), freq='D', lags=[1, 2])
+fcst.fit(series, static_features=['unique_id'])
+preds = fcst.predict(2, before_predict_callback=inspect_input)
+preds
+
+
+ + + + + + + + + + + + + + + + + + + +
unique_idlag1lag2
0id_04.155933.000028
+ +
+
+
+
+ + + + + + + + + + + + + + + + + + + +
unique_idlag1lag2
0id_05.2502054.15593
+ +
+
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsLGBMRegressor
0id_02000-08-105.250205
1id_02000-08-116.241739
+ +
+
+
+
+
+

Saving the input features

+

Saving the features that are sent as input to the model in each timestamp can be helpful, for example to estimate SHAP values. This can be easily achieved with the SaveFeatures callback.

+
+
from mlforecast.callbacks import SaveFeatures
+
+
+
fcst = MLForecast(lgb.LGBMRegressor(verbosity=-1), freq='D', lags=[1])
+fcst.fit(series, static_features=['unique_id'])
+save_features_cbk = SaveFeatures()
+fcst.predict(2, before_predict_callback=save_features_cbk);
+
+

Once we’ve called predict we can just retrieve the features.

+
+
save_features_cbk.get_features()
+
+
+ + + + + + + + + + + + + + + + + + + + + + +
unique_idlag1
0id_04.155930
0id_05.281643
+ +
+
+
+
+
+
+

After predicting

+

When predicting with the recursive strategy (the default) the predictions for each timestamp are used to update the target and recompute the features. If you want to do something to these predictions before that happens you can use the after_predict_callback argument of MLForecast.predict.

+
+

Increasing predictions values

+

Suppose we know that our model always underestimates and we want to prevent that from happening by making our predictions 10% higher. We can achieve that with the following:

+
+
def increase_predictions(predictions):
+    """Increases all predictions by 10%"""
+    return 1.1 * predictions
+
+
+
fcst = MLForecast(
+    {'model': lgb.LGBMRegressor(verbosity=-1)},
+    freq='D',
+    date_features=['dayofweek'],
+)
+fcst.fit(series)
+original_preds = fcst.predict(2)
+scaled_preds = fcst.predict(2, after_predict_callback=increase_predictions)
+np.testing.assert_array_less(
+    original_preds['model'].values,
+    scaled_preds['model'].values,
+)
+
+ + +
+
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/docs/how-to-guides/predict_subset.html b/docs/how-to-guides/predict_subset.html new file mode 100644 index 00000000..3647f257 --- /dev/null +++ b/docs/how-to-guides/predict_subset.html @@ -0,0 +1,858 @@ + + + + + + + + + + +mlforecast - Predicting a subset of ids + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

Predicting a subset of ids

+
+ +
+
+ Compute predictions for only a subset of the training ids +
+
+ + +
+ + + + +
+ + +
+ + +
+
from lightgbm import LGBMRegressor
+from fastcore.test import test_fail
+
+from mlforecast import MLForecast
+from mlforecast.utils import generate_daily_series
+
+
+
series = generate_daily_series(5)
+fcst = MLForecast({'lgb': LGBMRegressor(verbosity=-1)}, freq='D', date_features=['dayofweek'])
+fcst.fit(series)
+all_preds = fcst.predict(1)
+all_preds
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddslgb
0id_02000-08-103.728396
1id_12000-04-074.749133
2id_22000-06-164.749133
3id_32000-08-302.758949
4id_42001-01-083.331394
+ +
+
+
+

By default all series seen during training will be forecasted with the predict method. If you’re only interested in predicting a couple of them you can use the ids argument.

+
+
fcst.predict(1, ids=['id_0', 'id_4'])
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddslgb
0id_02000-08-103.728396
1id_42001-01-083.331394
+ +
+
+
+

Note that the ids must’ve been seen during training, if you try to predict an id that wasn’t there you’ll get an error.

+
+
test_fail(lambda: fcst.predict(1, ids=['fake_id']), contains='fake_id')
+
+ + + +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/docs/how-to-guides/prediction_intervals.html b/docs/how-to-guides/prediction_intervals.html new file mode 100644 index 00000000..3e8f58da --- /dev/null +++ b/docs/how-to-guides/prediction_intervals.html @@ -0,0 +1,1294 @@ + + + + + + + + + + +mlforecast - Probabilistic forecasting + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

Probabilistic forecasting

+
+ +
+
+ In this example, we’ll implement prediction intervals +
+
+ + +
+ + + + +
+ + +
+ + +
+ +
+
+

This tutorial assumes basic familiarity with MLForecast. For a minimal example visit the Quick Start

+
+
+
+
+

Introduction

+

When we generate a forecast, we usually produce a single value known as the point forecast. This value, however, doesn’t tell us anything about the uncertainty associated with the forecast. To have a measure of this uncertainty, we need prediction intervals.

+

A prediction interval is a range of values that the forecast can take with a given probability. Hence, a 95% prediction interval should contain a range of values that include the actual future value with probability 95%. Probabilistic forecasting aims to generate the full forecast distribution. Point forecasting, on the other hand, usually returns the mean or the median or said distribution. However, in real-world scenarios, it is better to forecast not only the most probable future outcome, but many alternative outcomes as well.

+

With MLForecast you can train sklearn models to generate point forecasts. It also takes the advantages of ConformalPrediction to generate the same point forecasts and adds them prediction intervals. By the end of this tutorial, you’ll have a good understanding of how to add probabilistic intervals to sklearn models for time series forecasting. Furthermore, you’ll also learn how to generate plots with the historical data, the point forecasts, and the prediction intervals.

+
+
+
+ +
+
+Important +
+
+
+

Although the terms are often confused, prediction intervals are not the same as confidence intervals.

+
+
+
+
+
+ +
+
+Warning +
+
+
+

In practice, most prediction intervals are too narrow since models do not account for all sources of uncertainty. A discussion about this can be found here.

+
+
+

Outline:

+
    +
  1. Install libraries
  2. +
  3. Load and explore the data
  4. +
  5. Train models
  6. +
  7. Plot prediction intervals
  8. +
+
+
+
+ +
+
+Tip +
+
+
+

You can use Colab to run this Notebook interactively Open In Colab

+
+
+
+
+

Install libraries

+

Install the necessary packages using pip install mlforecast utilsforecast

+
+
+

Load and explore the data

+

For this example, we’ll use the hourly dataset from the M4 Competition. We first need to download the data from a URL and then load it as a pandas dataframe. Notice that we’ll load the train and the test data separately. We’ll also rename the y column of the test data as y_test.

+
+
import pandas as pd
+from utilsforecast.plotting import plot_series
+
+
+
train = pd.read_csv('https://auto-arima-results.s3.amazonaws.com/M4-Hourly.csv')
+test = pd.read_csv('https://auto-arima-results.s3.amazonaws.com/M4-Hourly-test.csv')
+
+
+
train.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsy
0H11605.0
1H12586.0
2H13586.0
3H14559.0
4H15511.0
+ +
+
+
+
+
test.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsy
0H1701619.0
1H1702565.0
2H1703532.0
3H1704495.0
4H1705481.0
+ +
+
+
+

Since the goal of this notebook is to generate prediction intervals, we’ll only use the first 8 series of the dataset to reduce the total computational time.

+
+
n_series = 8 
+uids = train['unique_id'].unique()[:n_series] # select first n_series of the dataset
+train = train.query('unique_id in @uids')
+test = test.query('unique_id in @uids')
+
+

We can plot these series using the plot_series function from the utilsforecast library. This function has multiple parameters, and the required ones to generate the plots in this notebook are explained below.

+
    +
  • df: A pandas dataframe with columns [unique_id, ds, y].
  • +
  • forecasts_df: A pandas dataframe with columns [unique_id, ds] and models.
  • +
  • plot_random: bool = True. Plots the time series randomly.
  • +
  • models: List[str]. A list with the models we want to plot.
  • +
  • level: List[float]. A list with the prediction intervals we want to plot.
  • +
  • engine: str = matplotlib. It can also be plotly. plotly generates interactive plots, while matplotlib generates static plots.
  • +
+
+
fig = plot_series(train, test.rename(columns={'y': 'y_test'}), models=['y_test'], plot_random=False)
+
+

+
+
+

Train models

+

MLForecast can train multiple models that follow the sklearn syntax (fit and predict) on different time series efficiently.

+

For this example, we’ll use the following sklearn baseline models:

+ +

To use these models, we first need to import them from sklearn and then we need to instantiate them.

+
+
from mlforecast import MLForecast
+from mlforecast.target_transforms import Differences
+from mlforecast.utils import PredictionIntervals
+from sklearn.linear_model import Lasso, LinearRegression, Ridge
+from sklearn.neighbors import KNeighborsRegressor
+from sklearn.neural_network import MLPRegressor
+
+
+
# Create a list of models and instantiation parameters 
+models = [
+    KNeighborsRegressor(),
+    Lasso(),
+    LinearRegression(),
+    MLPRegressor(),
+    Ridge(),
+]
+
+

To instantiate a new MLForecast object, we need the following parameters:

+
    +
  • models: The list of models defined in the previous step.
    +
  • +
  • target_transforms: Transformations to apply to the target before computing the features. These are restored at the forecasting step.
  • +
  • lags: Lags of the target to use as features.
  • +
+
+
mlf = MLForecast(
+    models=[Ridge(), Lasso(), LinearRegression(), KNeighborsRegressor(), MLPRegressor(random_state=0)],
+    target_transforms=[Differences([1])],
+    lags=[24 * (i+1) for i in range(7)],
+)
+
+

Now we’re ready to generate the point forecasts and the prediction intervals. To do this, we’ll use the fit method, which takes the following arguments:

+
    +
  • data: Series data in long format.
  • +
  • id_col: Column that identifies each series. In our case, unique_id.
  • +
  • time_col: Column that identifies each timestep, its values can be timestamps or integers. In our case, ds.
  • +
  • target_col: Column that contains the target. In our case, y.
  • +
  • prediction_intervals: A PredicitonIntervals class. The class takes two parameters: n_windows and h. n_windows represents the number of cross-validation windows used to calibrate the intervals and h is the forecast horizon. The strategy will adjust the intervals for each horizon step, resulting in different widths for each step.
  • +
+
+
mlf.fit(
+    train,
+    prediction_intervals=PredictionIntervals(n_windows=10, h=48),
+);
+
+

After fitting the models, we will call the predict method to generate forecasts with prediction intervals. The method takes the following arguments:

+
    +
  • horizon: An integer that represent the forecasting horizon. In this case, we’ll forecast the next 48 hours.
  • +
  • level: A list of floats with the confidence levels of the prediction intervals. For example, level=[95] means that the range of values should include the actual future value with probability 95%.
  • +
+
+
levels = [50, 80, 95]
+forecasts = mlf.predict(48, level=levels)
+forecasts.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsRidgeLassoLinearRegressionKNeighborsRegressorMLPRegressorRidge-lo-95Ridge-lo-80Ridge-lo-50...KNeighborsRegressor-lo-50KNeighborsRegressor-hi-50KNeighborsRegressor-hi-80KNeighborsRegressor-hi-95MLPRegressor-lo-95MLPRegressor-lo-80MLPRegressor-lo-50MLPRegressor-hi-50MLPRegressor-hi-80MLPRegressor-hi-95
0H1701612.418170612.418079612.418170615.2612.651532590.473256594.326570603.409944...609.45620.95627.20631.310584.736193591.084898597.462107627.840957634.218166640.566870
1H1702552.309298552.308073552.309298551.6548.791801498.721501518.433843532.710850...535.85567.35569.16597.525497.308756500.417799515.452396582.131207597.165804600.274847
2H1703494.943384494.943367494.943384509.6490.226796448.253304463.266064475.006125...492.70526.50530.92544.180424.587658436.042788448.682502531.771091544.410804555.865935
3H1704462.815779462.815363462.815779474.6459.619069409.975219422.243593436.128272...451.80497.40510.26525.500379.291083392.580306413.353178505.884959526.657832539.947054
4H1705440.141034440.140586440.141034451.6438.091712377.999588392.523016413.474795...427.40475.80488.96503.945348.618034362.503767386.303325489.880099513.679657527.565389
+ +

5 rows × 37 columns

+
+
+
+
+
test = test.merge(forecasts, how='left', on=['unique_id', 'ds'])
+
+
+
+

Plot prediction intervals

+

To plot the point and the prediction intervals, we’ll use the plot_series function again. Notice that now we also need to specify the model and the levels that we want to plot.

+
+

KNeighborsRegressor

+
+
fig = plot_series(
+    train, 
+    test, 
+    plot_random=False, 
+    models=['KNeighborsRegressor'], 
+    level=levels, 
+    max_insample_length=48
+)
+
+

+
+
+

Lasso

+
+
fig = plot_series(
+    train, 
+    test, 
+    plot_random=False, 
+    models=['Lasso'],
+    level=levels, 
+    max_insample_length=48
+)
+
+

+
+
+

LineaRegression

+
+
fig = plot_series(
+    train, 
+    test, 
+    plot_random=False, 
+    models=['LinearRegression'],
+    level=levels, 
+    max_insample_length=48
+)
+
+

+
+
+

MLPRegressor

+
+
fig = plot_series(
+    train, 
+    test, 
+    plot_random=False, 
+    models=['MLPRegressor'],
+    level=levels, 
+    max_insample_length=48
+)
+
+

+
+
+

Ridge

+
+
fig = plot_series(
+    train, 
+    test, 
+    plot_random=False, 
+    models=['Ridge'],
+    level=levels, 
+    max_insample_length=48
+)
+
+

+

From these plots, we can conclude that the uncertainty around each forecast varies according to the model that is being used. For the same time series, one model can predict a wider range of possible future values than others.

+
+
+
+

References

+ + + +
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/docs/how-to-guides/target_transforms_guide.html b/docs/how-to-guides/target_transforms_guide.html new file mode 100644 index 00000000..debcc82a --- /dev/null +++ b/docs/how-to-guides/target_transforms_guide.html @@ -0,0 +1,952 @@ + + + + + + + + + + +mlforecast - Target transformations + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

Target transformations

+
+ +
+
+ Seamlessly transform target values +
+
+ + +
+ + + + +
+ + +
+ + +

Since mlforecast uses a single global model it can be helpful to apply some transformations to the target to ensure that all series have similar distributions. They can also help remove trend for models that can’t deal with it out of the box.

+
+

Data setup

+

For this example we’ll use a single serie from the M4 dataset.

+
+
import matplotlib.pyplot as plt
+import numpy as np
+import pandas as pd
+from datasetsforecast.m4 import M4
+from sklearn.base import BaseEstimator
+
+from mlforecast import MLForecast
+from mlforecast.target_transforms import Differences, LocalStandardScaler
+
+
+
data_path = 'data'
+await M4.async_download(data_path, group='Hourly')
+df, *_ = M4.load(data_path, 'Hourly')
+df['ds'] = df['ds'].astype('int32')
+serie = df[df['unique_id'].eq('H196')]
+
+
+
+

Local transformations

+
+

Transformations applied per serie

+
+
+

Differences

+

We’ll take a look at our serie to see possible differences that would help our models.

+
+
def plot(series, fname):
+    n_series = len(series)
+    fig, ax = plt.subplots(ncols=n_series, figsize=(7 * n_series, 6), squeeze=False)
+    for (title, serie), axi in zip(series.items(), ax.flat):
+        serie.set_index('ds')['y'].plot(title=title, ax=axi)
+    fig.savefig(f'../../figs/{fname}', bbox_inches='tight')
+    plt.close()
+
+
+
plot({'original': serie}, 'target_transforms__eda.png')
+
+

+

We can see that our data has a trend as well as a clear seasonality. We can try removing the trend first.

+
+
fcst = MLForecast(
+    models=[],
+    freq=1,
+    target_transforms=[Differences([1])],
+)
+without_trend = fcst.preprocess(serie)
+plot({'original': serie, 'without trend': without_trend}, 'target_transforms__diff1.png')
+
+

+

The trend is gone, we can now try taking the 24 difference (subtract the value at the same hour in the previous day).

+
+
fcst = MLForecast(
+    models=[],
+    freq=1,
+    target_transforms=[Differences([1, 24])],
+)
+without_trend_and_seasonality = fcst.preprocess(serie)
+plot({'original': serie, 'without trend and seasonality': without_trend_and_seasonality}, 'target_transforms__diff2.png')
+
+

+
+
+

LocalStandardScaler

+

We see that our serie is random noise now. Suppose we also want to standardize it, i.e. make it have a mean of 0 and variance of 1. We can add the LocalStandardScaler transformation after these differences.

+
+
fcst = MLForecast(
+    models=[],
+    freq=1,
+    target_transforms=[Differences([1, 24]), LocalStandardScaler()],
+)
+standardized = fcst.preprocess(serie)
+plot({'original': serie, 'standardized': standardized}, 'target_transforms__standardized.png')
+standardized['y'].agg(['mean', 'var']).round(2)
+
+
mean   -0.0
+var     1.0
+Name: y, dtype: float64
+
+
+

+

Now that we’ve captured the components of the serie (trend + seasonality), we could try forecasting it with a model that always predicts 0, which will basically project the trend and seasonality.

+
+
class Zeros(BaseEstimator):
+    def fit(self, X, y=None):
+        return self
+
+    def predict(self, X, y=None):
+        return np.zeros(X.shape[0])
+
+fcst = MLForecast(
+    models={'zeros_model': Zeros()},
+    freq=1,
+    target_transforms=[Differences([1, 24]), LocalStandardScaler()],
+)
+preds = fcst.fit(serie).predict(48)
+fig, ax = plt.subplots()
+pd.concat([serie.tail(24 * 10), preds]).set_index('ds').plot(ax=ax)
+plt.close()
+fig.savefig('target_transforms__zeros.png')
+
+

+
+
+
+

Global transformations

+
+

Transformations applied to all series

+
+
+

GlobalSklearnTransformer

+

There are some transformations that don’t require to learn any parameters, such as applying logarithm for example. These can be easily defined using the GlobalSklearnTransformer, which takes a scikit-learn compatible transformer and applies it to all series. Here’s an example on how to define a transformation that applies logarithm to each value of the series + 1, which can help avoid computing the log of 0.

+
+
import numpy as np
+from sklearn.preprocessing import FunctionTransformer
+
+from mlforecast.target_transforms import GlobalSklearnTransformer
+
+sk_log1p = FunctionTransformer(func=np.log1p, inverse_func=np.expm1)
+fcst = MLForecast(
+    models={'zeros_model': Zeros()},
+    freq=1,
+    target_transforms=[GlobalSklearnTransformer(sk_log1p)],
+)
+log1p_transformed = fcst.preprocess(serie)
+plot({'original': serie, 'Log transformed': log1p_transformed}, 'target_transforms__log.png')
+
+

+

We can also combine this with local transformations. For example we can apply log first and then differencing.

+
+
fcst = MLForecast(
+    models=[],
+    freq=1,
+    target_transforms=[GlobalSklearnTransformer(sk_log1p), Differences([1, 24])],
+)
+log_diffs = fcst.preprocess(serie)
+plot({'original': serie, 'Log + Differences': log_diffs}, 'target_transforms__log_diffs.png')
+
+

+
+
+
+

Custom transformations

+
+

Implementing your own target transformations

+
+

In order to implement your own target transformation you have to define a class that inherits from mlforecast.target_transforms.BaseTargetTransform (this takes care of setting the column names as the id_col, time_col and target_col attributes) and implement the fit_transform and inverse_transform methods. Here’s an example on how to define a min-max scaler.

+
+
from mlforecast.target_transforms import BaseTargetTransform
+
+
+
class LocalMinMaxScaler(BaseTargetTransform):
+    """Scales each serie to be in the [0, 1] interval."""
+    def fit_transform(self, df: pd.DataFrame) -> pd.DataFrame:
+        self.stats_ = df.groupby(self.id_col)[self.target_col].agg(['min', 'max'])
+        df = df.merge(self.stats_, on=self.id_col)
+        df[self.target_col] = (df[self.target_col] - df['min']) / (df['max'] - df['min'])
+        df = df.drop(columns=['min', 'max'])
+        return df
+
+    def inverse_transform(self, df: pd.DataFrame) -> pd.DataFrame:
+        df = df.merge(self.stats_, on=self.id_col)
+        for col in df.columns.drop([self.id_col, self.time_col, 'min', 'max']):
+            df[col] = df[col] * (df['max'] - df['min']) + df['min']
+        df = df.drop(columns=['min', 'max'])
+        return df
+
+

And now you can pass an instance of this class to the target_transforms argument.

+
+
fcst = MLForecast(
+    models=[],
+    freq=1,
+    target_transforms=[LocalMinMaxScaler()],
+)
+minmax_scaled = fcst.preprocess(serie)
+plot({'original': serie, 'min-max scaled': minmax_scaled}, 'target_transforms__minmax.png')
+
+

+ + +
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/docs/how-to-guides/transfer_learning.html b/docs/how-to-guides/transfer_learning.html new file mode 100644 index 00000000..ac5673a2 --- /dev/null +++ b/docs/how-to-guides/transfer_learning.html @@ -0,0 +1,923 @@ + + + + + + + + + +mlforecast - Transfer Learning + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

Transfer Learning

+
+ + + +
+ + + + +
+ + +
+ + +

Transfer learning refers to the process of pre-training a flexible model on a large dataset and using it later on other data with little to no training. It is one of the most outstanding 🚀 achievements in Machine Learning and has many practical applications.

+

For time series forecasting, the technique allows you to get lightning-fast predictions ⚡ bypassing the tradeoff between accuracy and speed (more than 30 times faster than our already fast AutoARIMA for a similar accuracy).

+

This notebook shows how to generate a pre-trained model to forecast new time series never seen by the model.

+

Table of Contents

+
    +
  • Installing MLForecast
  • +
  • Load M3 Monthly Data
  • +
  • Instantiate NeuralForecast core, Fit, and save
  • +
  • Use the pre-trained model to predict on AirPassengers
  • +
  • Evaluate Results
  • +
+

You can run these experiments with Google Colab.

+

Open In Colab

+
+

Installing Libraries

+
+
# !pip install mlforecast datasetsforecast utilsforecast s3fs
+
+
+
import lightgbm as lgb
+import numpy as np
+import pandas as pd
+from datasetsforecast.m3 import M3
+from sklearn.metrics import mean_absolute_error
+from utilsforecast.plotting import plot_series
+
+from mlforecast import MLForecast
+from mlforecast.target_transforms import Differences
+
+
+
+

Load M3 Data

+

The M3 class will automatically download the complete M3 dataset and process it.

+

It return three Dataframes: Y_df contains the values for the target variables, X_df contains exogenous calendar features and S_df contains static features for each time-series. For this example we will only use Y_df.

+

If you want to use your own data just replace Y_df. Be sure to use a long format and have a simmilar structure than our data set.

+
+
Y_df_M3, _, _ = M3.load(directory='./', group='Monthly')
+
+

In this tutorial we are only using 1_000 series to speed up computations. Remove the filter to use the whole dataset.

+
+
fig = plot_series(Y_df_M3)
+
+

+
+
+

Model Training

+

Using the MLForecast.fit method you can train a set of models to your dataset. You can modify the hyperparameters of the model to get a better accuracy, in this case we will use the default hyperparameters of lgb.LGBMRegressor.

+
+
models = [lgb.LGBMRegressor(verbosity=-1)]
+
+

The MLForecast object has the following parameters:

+
    +
  • models: a list of sklearn-like (fit and predict) models.
  • +
  • freq: a string indicating the frequency of the data. See panda’s available frequencies.
  • +
  • differences: Differences to take of the target before computing the features. These are restored at the forecasting step.
  • +
  • lags: Lags of the target to use as features.
  • +
+

In this example, we are only using differences and lags to produce features. See the full documentation to see all available features.

+

Any settings are passed into the constructor. Then you call its fit method and pass in the historical data frame Y_df_M3.

+
+
fcst = MLForecast(
+    models=models, 
+    lags=range(1, 13),
+    freq='MS',
+    target_transforms=[Differences([1, 12])],
+)
+fcst.fit(Y_df_M3);
+
+
+
+

Transfer M3 to AirPassengers

+

Now we can transfer the trained model to forecast AirPassengers with the MLForecast.predict method, we just have to pass the new dataframe to the new_data argument.

+
+
Y_df = pd.read_csv('https://datasets-nixtla.s3.amazonaws.com/air-passengers.csv', parse_dates=['ds'])
+
+# We define the train df. 
+Y_train_df = Y_df[Y_df.ds<='1959-12-31'] # 132 train
+Y_test_df = Y_df[Y_df.ds>'1959-12-31']   # 12 test
+
+
+
Y_hat_df = fcst.predict(h=12, new_df=Y_train_df)
+Y_hat_df.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsLGBMRegressor
0AirPassengers1960-01-01422.740096
1AirPassengers1960-02-01399.480193
2AirPassengers1960-03-01458.220289
3AirPassengers1960-04-01442.960385
4AirPassengers1960-05-01461.700482
+ +
+
+
+
+
Y_hat_df = Y_test_df.merge(Y_hat_df, how='left', on=['unique_id', 'ds'])
+
+
+
fig = plot_series(Y_train_df, Y_hat_df)
+
+

+
+
+

Evaluate Results

+

We evaluate the forecasts of the pre-trained model with the Mean Absolute Error (mae).

+

\[ +\qquad MAE = \frac{1}{Horizon} \sum_{\tau} |y_{\tau} - \hat{y}_{\tau}|\qquad +\]

+
+
y_true = Y_test_df.y.values
+y_hat = Y_hat_df['LGBMRegressor'].values
+
+
+
print(f'LGBMRegressor     MAE: {mean_absolute_error(y_hat, y_true):.3f}')
+print('ETS               MAE: 16.222')
+print('AutoARIMA         MAE: 18.551')
+
+
LGBMRegressor     MAE: 13.560
+ETS               MAE: 16.222
+AutoARIMA         MAE: 18.551
+
+
+ + +
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/docs/tutorials/electricity_load_forecasting.html b/docs/tutorials/electricity_load_forecasting.html new file mode 100644 index 00000000..cf6bcfc5 --- /dev/null +++ b/docs/tutorials/electricity_load_forecasting.html @@ -0,0 +1,2044 @@ + + + + + + + + + + +mlforecast - Electricity Load Forecast + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

Electricity Load Forecast

+
+ +
+
+ In this example we will show how to perform electricity load forecasting using MLForecast alongside many models. We also compare them against the prophet library. +
+
+ + +
+ + + + +
+ + +
+ + +
+

Introduction

+

Some time series are generated from very low frequency data. These data generally exhibit multiple seasonalities. For example, hourly data may exhibit repeated patterns every hour (every 24 observations) or every day (every 24 * 7, hours per day, observations). This is the case for electricity load. Electricity load may vary hourly, e.g., during the evenings electricity consumption may be expected to increase. But also, the electricity load varies by week. Perhaps on weekends there is an increase in electrical activity.

+

In this example we will show how to model the two seasonalities of the time series to generate accurate forecasts in a short time. We will use hourly PJM electricity load data. The original data can be found here.

+
+
+

Libraries

+

In this example we will use the following libraries:

+
    +
  • mlforecast. Accurate and ⚡️ fast forecasting withc lassical machine learning models.
  • +
  • prophet. Benchmark model developed by Facebook.
  • +
  • utilsforecast. Library with different functions for forecasting evaluation.
  • +
+

If you have already installed the libraries you can skip the next cell, if not be sure to run it.

+
+
# %%capture
+# !pip install prophet
+# !pip install -U mlforecast
+# !pip install -U utilsforecast
+
+
+
+

Forecast using Multiple Seasonalities

+
+

Electricity Load Data

+

According to the dataset’s page,

+
+

PJM Interconnection LLC (PJM) is a regional transmission organization (RTO) in the United States. It is part of the Eastern Interconnection grid operating an electric transmission system serving all or parts of Delaware, Illinois, Indiana, Kentucky, Maryland, Michigan, New Jersey, North Carolina, Ohio, Pennsylvania, Tennessee, Virginia, West Virginia, and the District of Columbia. The hourly power consumption data comes from PJM’s website and are in megawatts (MW).

+
+

Let’s take a look to the data.

+
+
import matplotlib.pyplot as plt
+import numpy as np
+import pandas as pd
+from utilsforecast.plotting import plot_series
+
+
+
pd.plotting.register_matplotlib_converters()
+plt.rc("figure", figsize=(10, 8))
+plt.rc("font", size=10)
+
+
+
data_url = 'https://raw.githubusercontent.com/panambY/Hourly_Energy_Consumption/master/data/PJM_Load_hourly.csv'
+df = pd.read_csv(data_url, parse_dates=['Datetime'])
+df.columns = ['ds', 'y']
+df.insert(0, 'unique_id', 'PJM_Load_hourly')
+df['ds'] = pd.to_datetime(df['ds'])
+df = df.sort_values(['unique_id', 'ds']).reset_index(drop=True)
+print(f'Shape of the data {df.shape}')
+df.tail()
+
+
Shape of the data (32896, 3)
+
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsy
32891PJM_Load_hourly2001-12-31 20:00:0036392.0
32892PJM_Load_hourly2001-12-31 21:00:0035082.0
32893PJM_Load_hourly2001-12-31 22:00:0033890.0
32894PJM_Load_hourly2001-12-31 23:00:0032590.0
32895PJM_Load_hourly2002-01-01 00:00:0031569.0
+ +
+
+
+
+
fig = plot_series(df)
+
+

+

We clearly observe that the time series exhibits seasonal patterns. Moreover, the time series contains 32,896 observations, so it is necessary to use very computationally efficient methods to display them in production.

+

We are going to split our series in order to create a train and test set. The model will be tested using the last 24 hours of the timeseries.

+
+
threshold_time = df['ds'].max() - pd.Timedelta(hours=24)
+
+# Split the dataframe
+df_train = df[df['ds'] <= threshold_time]
+df_last_24_hours = df[df['ds'] > threshold_time]
+
+
+
+

Analizing Seasonalities

+

First we must visualize the seasonalities of the model. As mentioned before, the electricity load presents seasonalities every 24 hours (Hourly) and every 24 * 7 (Daily) hours. Therefore, we will use [24, 24 * 7] as the seasonalities for the model. In order to analize how they affect our series we are going to use the Difference method.

+
+
from mlforecast import MLForecast
+from mlforecast.target_transforms import Differences
+
+

We can use the MLForecast.preprocess method to explore different transformations. It looks like these series have a strong seasonality on the hour of the day, so we can subtract the value from the same hour in the previous day to remove it. This can be done with the mlforecast.target_transforms.Differences transformer, which we pass through target_transforms.

+

In order to analize the trends individually and combined we are going to plot them individually and combined. Therefore, we can compare them against the original series. We can use the next function for that.

+
+
def plot_differences(df, differences,fname):
+    prep = [df]
+    # Plot individual Differences
+    for d in differences:
+        fcst = MLForecast(
+        models=[],  # we're not interested in modeling yet
+        freq='H',  # our series have hourly frequency 
+        target_transforms=[Differences([d])],
+        )
+        df_ = fcst.preprocess(df)
+        df_['unique_id'] = df_['unique_id'] + f'_{d}'
+        prep.append(df_)
+        
+    # Plot combined Differences
+    fcst = MLForecast(
+    models=[],  # we're not interested in modeling yet
+    freq='H',  # our series have hourly frequency 
+    target_transforms=[Differences([24, 24*7])],
+    )
+    df_ = fcst.preprocess(df)
+    df_['unique_id'] = df_['unique_id'] + f'_all_diff'
+    prep.append(df_)
+    prep = pd.concat(prep, ignore_index=True)
+    #return prep
+    n_series = len(prep['unique_id'].unique())
+    fig, ax = plt.subplots(nrows=n_series, figsize=(7 * n_series, 10*n_series), squeeze=False)
+    for title, axi in zip(prep['unique_id'].unique(), ax.flat):
+        df_ = prep[prep['unique_id'] == title]
+        df_.set_index('ds')['y'].plot(title=title, ax=axi)
+    fig.savefig(f'../../figs/{fname}', bbox_inches='tight')
+    plt.close()
+
+

Since the seasonalities are present at 24 hours (daily) and 24*7 (weekly) we are going to substract them from the serie using Differences([24, 24*7]) and plot them.

+
+
plot_differences(df=df_train, differences=[24, 24*7], fname='load_forecasting__differences.png')
+
+

+

As we can see when we extract the 24 difference (daily) in PJM_Load_hourly_24 the series seem to stabilize sisnce the peaks seem more uniform in comparison with the original series PJM_Load_hourly.

+

When we extrac the 24*7 (weekly) PJM_Load_hourly_168 difference we can see there is more periodicity in the peaks in comparison with the original series.

+

Finally we can see the result from the combined result from substracting all the differences PJM_Load_hourly_all_diff.

+

For modeling we are going to use both difference for the forecasting, therefore we are setting the argument target_transforms from the MLForecast object equal to [Differences([24, 24*7])], if we wanted to include a yearly difference we would need to add the term 24*365.

+
+
fcst = MLForecast(
+    models=[],  # we're not interested in modeling yet
+    freq='H',  # our series have hourly frequency 
+    target_transforms=[Differences([24, 24*7])],
+)
+prep = fcst.preprocess(df_train)
+prep
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsy
192PJM_Load_hourly1998-04-09 02:00:00831.0
193PJM_Load_hourly1998-04-09 03:00:00918.0
194PJM_Load_hourly1998-04-09 04:00:00760.0
195PJM_Load_hourly1998-04-09 05:00:00849.0
196PJM_Load_hourly1998-04-09 06:00:00710.0
............
32867PJM_Load_hourly2001-12-30 20:00:003417.0
32868PJM_Load_hourly2001-12-30 21:00:003596.0
32869PJM_Load_hourly2001-12-30 22:00:003501.0
32870PJM_Load_hourly2001-12-30 23:00:003939.0
32871PJM_Load_hourly2001-12-31 00:00:004235.0
+ +

32680 rows × 3 columns

+
+
+
+
+
fig = plot_series(prep)
+
+

+
+
+

Model Selection with Cross-Validation

+

We can test many models simoultaneously using MLForecast cross_validation. We can import lightgbm and scikit-learn models and try different combinations of them, alongside different target transformations (as the ones we created previously) and historical variables.
+You can see an in-depth tutorial on how to use MLForecast Cross Validation methods here

+
+
import lightgbm as lgb
+from mlforecast.target_transforms import Differences
+from window_ops.expanding import expanding_mean
+from window_ops.rolling import rolling_mean
+
+from sklearn.base import BaseEstimator
+from sklearn.linear_model import Lasso, LinearRegression, Ridge
+from sklearn.neighbors import KNeighborsRegressor
+from sklearn.neural_network import MLPRegressor
+from sklearn.ensemble import RandomForestRegressor
+
+

We can create a benchmark Naive model that uses the electricity load of the last hour as prediction lag1 as showed in the next cell. You can create your own models and try them with MLForecast using the same structure.

+
+
class Naive(BaseEstimator):
+    def fit(self, X, y):
+        return self
+
+    def predict(self, X):
+        return X['lag1']
+
+

Now let’s try differen models from the scikit-learn library: Lasso, LinearRegression, Ridge, KNN, MLP and Random Forest alongside the LightGBM. You can add any model to the dictionary to train and compare them by adding them to the dictionary (models) as shown.

+
+
# Model dictionary
+models ={
+        'naive': Naive(),
+        'lgbm': lgb.LGBMRegressor(verbosity=-1),
+        'lasso': Lasso(),
+        'lin_reg': LinearRegression(),
+        'ridge': Ridge(),
+        'knn': KNeighborsRegressor(),
+        'mlp': MLPRegressor(), 
+        'rf': RandomForestRegressor()
+    }
+
+

The we can instanciate the MLForecast class with the models we want to try along side target_transforms, lags, lag_transforms, and date_features. All this features are applied to the models we selected.

+

In this case we use the 1st, 12th and 24th lag, which are passed as a list. Potentially you could pass a range.

+
lags=[1,12,24]
+

Lag transforms are defined as a dictionary where the keys are the lags and the values are lists of functions that transform an array. These must be numba jitted functions (so that computing the features doesn’t become a bottleneck). There are some implemented in the window-ops package but you can also implement your own.
+For this example we applied an expanding mean to the first lag, and a rolling mean to the 24th lag.

+
    lag_transforms={  
+            1: [expanding_mean],
+            24: [(rolling_mean, 48)],
+        }
+

For using the date features you need to be sure that your time column is made of timestamps. Then it might make sense to extract features like week, dayofweek, quarter, etc. You can do that by passing a list of strings with pandas time/date components. You can also pass functions that will take the time column as input, as we’ll show here.
+Here we add month, hour and dayofweek features:

+
    date_features=['month', 'hour', 'dayofweek']
+
+
+
mlf = MLForecast(
+    models = models, 
+    freq='H',  # our series have hourly frequency 
+    target_transforms=[Differences([24, 24*7])],
+    lags=[1,12,24], # Lags to be used as features
+    lag_transforms={  
+        1: [expanding_mean],
+        24: [(rolling_mean, 48)],
+    },
+    date_features=['month', 'hour', 'dayofweek']
+)
+
+

Now we use the cross_validation method to train and evalaute the models. + df: Receives the training data + h: Forecast horizon + n_windows: The number of folds we want to predict

+

You can specify the names of the time series id, time and target columns. + id_col:Column that identifies each serie ( Default unique_id ) + time_col: Column that identifies each timestep, its values can be timestamps or integer( Default ds ) + target_col:Column that contains the target ( Default y )

+
+
crossvalidation_df = mlf.cross_validation(
+    df=df_train,
+    h=24,
+    n_windows=4,
+    refit=False,
+)
+crossvalidation_df.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddscutoffynaivelgbmlassolin_regridgeknnmlprf
0PJM_Load_hourly2001-12-27 01:00:002001-12-2728332.028837.028526.50557228703.18571228702.62594928702.62595628479.028834.83947928277.94
1PJM_Load_hourly2001-12-27 02:00:002001-12-2727329.027969.027467.86084727693.50231827692.39595427692.39596927521.627940.41469927307.90
2PJM_Load_hourly2001-12-27 03:00:002001-12-2726986.027435.026605.71061526991.79512426990.15756726990.15758926451.627370.17077926599.23
3PJM_Load_hourly2001-12-27 04:00:002001-12-2727009.027401.026284.06513826789.41839926787.26226226787.26229126388.427294.23207726366.54
4PJM_Load_hourly2001-12-27 05:00:002001-12-2727555.028169.026823.61707827369.64378927366.98307527366.98311126779.628014.09050527095.55
+ +
+
+
+

Now we can plot each model and window (fold) to see how it behaves

+
+
def plot_cv(df, df_cv, uid, fname, last_n=24 * 14, models={}):
+    cutoffs = df_cv.query('unique_id == @uid')['cutoff'].unique()
+    fig, ax = plt.subplots(nrows=len(cutoffs), ncols=1, figsize=(14, 14), gridspec_kw=dict(hspace=0.8))
+    for cutoff, axi in zip(cutoffs, ax.flat):
+        max_date = df_cv.query('unique_id == @uid & cutoff == @cutoff')['ds'].max()
+        df[df['ds'] < max_date].query('unique_id == @uid').tail(last_n).set_index('ds').plot(ax=axi, title=uid, y='y')
+        for m in models.keys():
+            df_cv.query('unique_id == @uid & cutoff == @cutoff').set_index('ds').plot(ax=axi, title=uid, y=m)          
+    fig.savefig(f'../../figs/{fname}', bbox_inches='tight')
+    plt.close()
+
+
+
plot_cv(df_train, crossvalidation_df, 'PJM_Load_hourly', 'load_forecasting__predictions.png', models=models)
+
+

+

Visually examining the forecasts can give us some idea of how the model is behaving, yet in order to asses the performace we need to evaluate them trough metrics. For that we use the utilsforecast library that contains many useful metrics and an evaluate function.

+
+
from utilsforecast.losses import *
+from utilsforecast.evaluation import evaluate
+
+
+
# Metrics to be used for evaluation
+metrics = [
+    mae,
+    rmse,
+    mape,
+    smape
+    ]
+
+
+
# Function to evaluate the crossvalidation
+def evaluate_crossvalidation(crossvalidation_df, metrics, models):
+    evaluations = []
+    for c in crossvalidation_df['cutoff'].unique():
+        df_cv = crossvalidation_df.query('cutoff == @c')
+        evaluation = evaluate(
+            df = df_cv,
+            metrics=metrics,
+            models=list(models.keys())
+            )
+        evaluations.append(evaluation)
+    evaluations = pd.concat(evaluations, ignore_index=True).drop(columns='unique_id')
+    evaluations = evaluations.groupby('metric').mean()
+    return evaluations.style.background_gradient(cmap='RdYlGn_r', axis=1)
+
+
+
evaluate_crossvalidation(crossvalidation_df, metrics, models)
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
 naivelgbmlassolin_regridgeknnmlprf
metric        
mae1631.395833971.5362001003.7964331007.9985971007.9985471248.1458331268.8413691219.286771
mape0.0497590.0309660.0317600.0318880.0318880.0387210.0391490.037969
rmse1871.3989191129.7132561148.6161561153.2627191153.2626641451.9643901463.8360071409.549197
smape0.0247860.0158860.0162690.0163380.0163380.0195490.0197040.019252
+
+
+

We can se that the model lgbm has top performance in most metrics folowed by the lasso regression. Both models perform way better than the naive.

+
+
+

Test Evaluation

+

Now we are going to evaluate their perfonce in the test set. We can use both of them for forecasting the test alongside some prediction intervals. For that we can use the PredictionIntervals function in mlforecast.utils.
+You can see an in-depth tutotorial of Probabilistic Forecasting here

+
+
from mlforecast.utils import PredictionIntervals
+
+
+
models_evaluation ={
+        'lgbm': lgb.LGBMRegressor(verbosity=-1),
+        'lasso': Lasso(),
+    }
+
+mlf_evaluation = MLForecast(
+    models = models_evaluation, 
+    freq='H',  # our series have hourly frequency 
+    target_transforms=[Differences([24, 24*7])],
+    lags=[1,12,24], 
+    lag_transforms={  
+        1: [expanding_mean],
+        24: [(rolling_mean, 48)],
+    },
+    date_features=['month', 'hour', 'dayofweek']
+)
+
+

Now we’re ready to generate the point forecasts and the prediction intervals. To do this, we’ll use the fit method, which takes the following arguments:

+
    +
  • df: Series data in long format.
  • +
  • id_col: Column that identifies each series. In our case, unique_id.
  • +
  • time_col: Column that identifies each timestep, its values can be timestamps or integers. In our case, ds.
  • +
  • target_col: Column that contains the target. In our case, y.
  • +
+

The PredictionIntervals function is used to compute prediction intervals for the models using Conformal Prediction. The function takes the following arguments: + n_windows: represents the number of cross-validation windows used to calibrate the intervals + h: the forecast horizon

+
+
mlf_evaluation.fit(
+    df = df_train,
+    prediction_intervals=PredictionIntervals(n_windows=4, h=24)
+)
+
+
MLForecast(models=[lgbm, lasso], freq=<Hour>, lag_features=['lag1', 'lag12', 'lag24', 'expanding_mean_lag1', 'rolling_mean_lag24_window_size48'], date_features=['month', 'hour', 'dayofweek'], num_threads=1)
+
+
+

Now that the model has been trained we are going to forecast the next 24 hours using the predict method so we can compare them to our test data. Additionally, we are going to create prediction intervals at levels [90,95].

+
+
levels = [90, 95] # Levels for prediction intervals
+forecasts = mlf_evaluation.predict(24, level=levels)
+forecasts.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddslgbmlassolgbm-lo-95lgbm-lo-90lgbm-hi-90lgbm-hi-95lasso-lo-95lasso-lo-90lasso-hi-90lasso-hi-95
0PJM_Load_hourly2001-12-31 01:00:0028847.57317629124.08597628544.59346428567.60313029127.54322229150.55288828762.75226928772.60427529475.56767729485.419682
1PJM_Load_hourly2001-12-31 02:00:0027862.58919528365.33074927042.31141427128.83988828596.33850328682.86697727528.54895927619.06522429111.59627529202.112539
2PJM_Load_hourly2001-12-31 03:00:0027044.41896027712.16167625596.65989625688.23042628400.60749328492.17802326236.95536926338.08710229086.23625129187.367984
3PJM_Load_hourly2001-12-31 04:00:0026976.10412527661.57273325249.96152725286.02472228666.18352928702.24672425911.13352125959.81571529363.32975029412.011944
4PJM_Load_hourly2001-12-31 05:00:0026694.24623827393.92237025044.22084525051.54883228336.94364428344.27163125751.54789725762.52481529025.31992429036.296843
+ +
+
+
+

The predict method returns a DataFrame witht the predictions for each model (lasso and lgbm) along side the prediction tresholds. The high-threshold is indicated by the keyword hi, the low-threshold by the keyword lo, and the level by the number in the column names.

+
+
test = df_last_24_hours.merge(forecasts, how='left', on=['unique_id', 'ds'])
+test.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsylgbmlassolgbm-lo-95lgbm-lo-90lgbm-hi-90lgbm-hi-95lasso-lo-95lasso-lo-90lasso-hi-90lasso-hi-95
0PJM_Load_hourly2001-12-31 01:00:0029001.028847.57317629124.08597628544.59346428567.60313029127.54322229150.55288828762.75226928772.60427529475.56767729485.419682
1PJM_Load_hourly2001-12-31 02:00:0028138.027862.58919528365.33074927042.31141427128.83988828596.33850328682.86697727528.54895927619.06522429111.59627529202.112539
2PJM_Load_hourly2001-12-31 03:00:0027830.027044.41896027712.16167625596.65989625688.23042628400.60749328492.17802326236.95536926338.08710229086.23625129187.367984
3PJM_Load_hourly2001-12-31 04:00:0027874.026976.10412527661.57273325249.96152725286.02472228666.18352928702.24672425911.13352125959.81571529363.32975029412.011944
4PJM_Load_hourly2001-12-31 05:00:0028427.026694.24623827393.92237025044.22084525051.54883228336.94364428344.27163125751.54789725762.52481529025.31992429036.296843
+ +
+
+
+

Now we can evaluate the metrics and performance in the test set.

+
+
evaluate(
+            df = test,
+            metrics=metrics,
+            models=list(models_evaluation.keys())
+            )
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_idmetriclgbmlasso
0PJM_Load_hourlymae1092.050817899.979743
1PJM_Load_hourlyrmse1340.4227621163.695525
2PJM_Load_hourlymape0.0336000.027688
3PJM_Load_hourlysmape0.0171370.013812
+ +
+
+
+

We can see that the lasso regression performed slighty better than the LightGBM for the test set. Additonally, we can also plot the forecasts alongside their prediction intervals. For that we can use the plot_series method available in utilsforecast.plotting.

+

We can plot one or many models at once alongside their coinfidence intervals.

+
+
fig = plot_series(
+    df_train, 
+    test, 
+    models=['lasso', 'lgbm'],
+    plot_random=False, 
+    level=levels, 
+    max_insample_length=24
+)
+
+

+
+
+

Comparison with Prophet

+

One of the most widely used models for time series forecasting is Prophet. This model is known for its ability to model different seasonalities (weekly, daily yearly). We will use this model as a benchmark to see if the lgbm alongside MLForecast adds value for this time series.

+
+
from prophet import Prophet
+from time import time
+
+
+
# create prophet model
+prophet = Prophet(interval_width=0.9)
+init = time()
+prophet.fit(df_train)
+# produce forecasts
+future = prophet.make_future_dataframe(periods=len(df_last_24_hours), freq='H', include_history=False)
+forecast_prophet = prophet.predict(future)
+end = time()
+# data wrangling
+forecast_prophet = forecast_prophet[['ds', 'yhat', 'yhat_lower', 'yhat_upper']]
+forecast_prophet.columns = ['ds', 'Prophet', 'Prophet-lo-90', 'Prophet-hi-90']
+forecast_prophet.insert(0, 'unique_id', 'PJM_Load_hourly')
+forecast_prophet.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsProphetProphet-lo-90Prophet-hi-90
0PJM_Load_hourly2001-12-31 01:00:0025294.24696020452.61529530151.111598
1PJM_Load_hourly2001-12-31 02:00:0024000.72542318954.86163128946.645807
2PJM_Load_hourly2001-12-31 03:00:0023324.77196618562.56837828009.837383
3PJM_Load_hourly2001-12-31 04:00:0023332.51987118706.83586428253.861051
4PJM_Load_hourly2001-12-31 05:00:0024107.12682718966.21768428907.516733
+ +
+
+
+
+
time_prophet = (end - init) 
+print(f'Prophet Time: {time_prophet:.2f} seconds')
+
+
Prophet Time: 36.90 seconds
+
+
+
+
models_comparison ={
+        'lgbm': lgb.LGBMRegressor(verbosity=-1)
+    }
+
+mlf_comparison = MLForecast(
+    models = models_comparison, 
+    freq='H',  # our series have hourly frequency 
+    target_transforms=[Differences([24, 24*7])],
+    lags=[1,12,24],
+    lag_transforms={  
+        1: [expanding_mean],
+        24: [(rolling_mean, 48)],
+    },
+    date_features=['month', 'hour', 'dayofweek']
+)
+
+init = time()
+mlf_comparison.fit(
+    df = df_train,
+    prediction_intervals=PredictionIntervals(n_windows=4, h=24)
+)
+
+levels = [90]
+forecasts_comparison = mlf_comparison.predict(24, level=levels)
+end = time()
+forecasts_comparison.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddslgbmlgbm-lo-90lgbm-hi-90
0PJM_Load_hourly2001-12-31 01:00:0028847.57317628567.60313029127.543222
1PJM_Load_hourly2001-12-31 02:00:0027862.58919527128.83988828596.338503
2PJM_Load_hourly2001-12-31 03:00:0027044.41896025688.23042628400.607493
3PJM_Load_hourly2001-12-31 04:00:0026976.10412525286.02472228666.183529
4PJM_Load_hourly2001-12-31 05:00:0026694.24623825051.54883228336.943644
+ +
+
+
+
+
time_lgbm = (end - init)
+print(f'LGBM Time: {time_lgbm:.2f} seconds')
+
+
LGBM Time: 1.34 seconds
+
+
+
+
metrics_comparison = df_last_24_hours.merge(forecasts_comparison, how='left', on=['unique_id', 'ds']).merge(
+    forecast_prophet, how='left', on=['unique_id', 'ds'])
+metrics_comparison = evaluate(
+            df = metrics_comparison,
+            metrics=metrics,
+            models=['Prophet', 'lgbm']
+            )
+metrics_comparison.reset_index(drop=True).style.background_gradient(cmap='RdYlGn_r', axis=1)
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
 unique_idmetricProphetlgbm
0PJM_Load_hourlymae2282.9669771092.050817
1PJM_Load_hourlyrmse2721.8172031340.422762
2PJM_Load_hourlymape0.0737500.033600
3PJM_Load_hourlysmape0.0386330.017137
+
+
+

As we can see lgbm had consistently better metrics than prophet.

+
+
metrics_comparison['improvement'] = metrics_comparison['Prophet'] /  metrics_comparison['lgbm']
+metrics_comparison['improvement'] = metrics_comparison['improvement'].apply(lambda x: f'{x:.2f}')
+metrics_comparison.set_index('metric')[['improvement']]
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
improvement
metric
mae2.09
rmse2.03
mape2.19
smape2.25
+ +
+
+
+
+
print(f'lgbm with MLForecast has a speedup of {time_prophet/time_lgbm:.2f} compared with prophet')
+
+
lgbm with MLForecast has a speedup of 27.62 compared with prophet
+
+
+

We can see that lgbm with MLForecast was able to provide metrics at least twice as good as Prophet as seen in the column improvement above, and way faster.

+ + +
+
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/docs/tutorials/electricity_peak_forecasting.html b/docs/tutorials/electricity_peak_forecasting.html new file mode 100644 index 00000000..1b5766e6 --- /dev/null +++ b/docs/tutorials/electricity_peak_forecasting.html @@ -0,0 +1,1024 @@ + + + + + + + + + + +mlforecast - Detect Demand Peaks + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

Detect Demand Peaks

+
+ +
+
+ In this example we will show how to perform electricity load forecasting on the ERCOT (Texas) market for detecting daily peaks. +
+
+ + +
+ + + + +
+ + +
+ + +
+

Introduction

+

Predicting peaks in different markets is useful. In the electricity market, consuming electricity at peak demand is penalized with higher tarifs. When an individual or company consumes electricity when its most demanded, regulators calls that a coincident peak (CP).

+

In the Texas electricity market (ERCOT), the peak is the monthly 15-minute interval when the ERCOT Grid is at a point of highest capacity. The peak is caused by all consumers’ combined demand on the electrical grid. The coincident peak demand is an important factor used by ERCOT to determine final electricity consumption bills. ERCOT registers the CP demand of each client for 4 months, between June and September, and uses this to adjust electricity prices. Clients can therefore save on electricity bills by reducing the coincident peak demand.

+

In this example we will train a LightGBM model on historic load data to forecast day-ahead peaks on September 2022. Multiple seasonality is traditionally present in low sampled electricity data. Demand exhibits daily and weekly seasonality, with clear patterns for specific hours of the day such as 6:00pm vs 3:00am or for specific days such as Sunday vs Friday.

+

First, we will load ERCOT historic demand, then we will use the MLForecast.cross_validation method to fit the LightGBM model and forecast daily load during September. Finally, we show how to use the forecasts to detect the coincident peak.

+

Outline

+
    +
  1. Install libraries
  2. +
  3. Load and explore the data
  4. +
  5. Fit LightGBM model and forecast
  6. +
  7. Peak detection
  8. +
+
+
+
+ +
+
+Tip +
+
+
+

You can use Colab to run this Notebook interactively Open In Colab

+
+
+
+
+

Libraries

+

We assume you have MLForecast already installed. Check this guide for instructions on how to install MLForecast.

+

Install the necessary packages using pip install mlforecast.

+

Also we have to install LightGBM using pip install lightgbm.

+
+
+

Load Data

+

The input to MLForecast is always a data frame in long format with three columns: unique_id, ds and y:

+
    +
  • The unique_id (string, int or category) represents an identifier for the series.

  • +
  • The ds (datestamp or int) column should be either an integer indexing time or a datestamp ideally like YYYY-MM-DD for a date or YYYY-MM-DD HH:MM:SS for a timestamp.

  • +
  • The y (numeric) represents the measurement we wish to forecast. We will rename the

  • +
+

First, read the 2022 historic total demand of the ERCOT market. We processed the original data (available here), by adding the missing hour due to daylight saving time, parsing the date to datetime format, and filtering columns of interest.

+
+
import numpy as np
+import pandas as pd
+from utilsforecast.plotting import plot_series
+
+
+
# Load data
+Y_df = pd.read_csv('https://datasets-nixtla.s3.amazonaws.com/ERCOT-clean.csv', parse_dates=['ds'])
+Y_df = Y_df.query("ds >= '2022-01-01' & ds <= '2022-10-01'")
+
+
+
fig = plot_series(Y_df)
+
+

+

We observe that the time series exhibits seasonal patterns. Moreover, the time series contains 6,552 observations, so it is necessary to use computationally efficient methods to deploy them in production.

+
+
+

Fit and Forecast LightGBM model

+

Import the MLForecast class and the models you need.

+
+
import lightgbm as lgb
+
+from mlforecast import MLForecast
+from mlforecast.target_transforms import Differences
+
+

First, instantiate the model and define the parameters.

+
+
+
+ +
+
+Tip +
+
+
+

In this example we are using the default parameters of the lgb.LGBMRegressor model, but you can change them to improve the forecasting performance.

+
+
+
+
models = [
+    lgb.LGBMRegressor(verbosity=-1) # you can include more models here
+]
+
+

We fit the model by instantiating a MLForecast object with the following required parameters:

+
    +
  • models: a list of sklearn-like (fit and predict) models.

  • +
  • freq: a string indicating the frequency of the data. (See panda’s available frequencies.)

  • +
  • target_transforms: Transformations to apply to the target before computing the features. These are restored at the forecasting step.

  • +
  • lags: Lags of the target to use as features.

  • +
+
+
# Instantiate MLForecast class as mlf
+mlf = MLForecast(
+    models=models,
+    freq='H', 
+    target_transforms=[Differences([24])],
+    lags=range(1, 25)
+)
+
+
+
+
+ +
+
+Tip +
+
+
+

In this example, we are only using differences and lags to produce features. See the full documentation to see all available features.

+
+
+

The cross_validation method allows the user to simulate multiple historic forecasts, greatly simplifying pipelines by replacing for loops with fit and predict methods. This method re-trains the model and forecast each window. See this tutorial for an animation of how the windows are defined.

+

Use the cross_validation method to produce all the daily forecasts for September. To produce daily forecasts set the forecasting horizon window_size as 24. In this example we are simulating deploying the pipeline during September, so set the number of windows as 30 (one for each day). Finally, the step size between windows is 24 (equal to the window_size). This ensure to only produce one forecast per day.

+

Additionally,

+
    +
  • id_col: identifies each time series.
  • +
  • time_col: indetifies the temporal column of the time series.
  • +
  • target_col: identifies the column to model.
  • +
+
+
crossvalidation_df = mlf.cross_validation(
+    df=Y_df,
+    h=24,
+    n_windows=30,
+)
+
+
+
crossvalidation_df.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddscutoffyLGBMRegressor
0ERCOT2022-09-01 00:00:002022-08-31 23:00:0045482.47175745685.265537
1ERCOT2022-09-01 01:00:002022-08-31 23:00:0043602.65804343779.819515
2ERCOT2022-09-01 02:00:002022-08-31 23:00:0042284.81734242672.470923
3ERCOT2022-09-01 03:00:002022-08-31 23:00:0041663.15677142091.768192
4ERCOT2022-09-01 04:00:002022-08-31 23:00:0041710.62190442481.403168
+ +
+
+
+
+
+
+ +
+
+Important +
+
+
+

When using cross_validation make sure the forecasts are produced at the desired timestamps. Check the cutoff column which specifices the last timestamp before the forecasting window.

+
+
+
+
+

Peak Detection

+

Finally, we use the forecasts in crossvaldation_df to detect the daily hourly demand peaks. For each day, we set the detected peaks as the highest forecasts. In this case, we want to predict one peak (npeaks); depending on your setting and goals, this parameter might change. For example, the number of peaks can correspond to how many hours a battery can be discharged to reduce demand.

+
+
npeaks = 1 # Number of peaks
+
+

For the ERCOT 4CP detection task we are interested in correctly predicting the highest monthly load. Next, we filter the day in September with the highest hourly demand and predict the peak.

+
+
crossvalidation_df = crossvalidation_df.reset_index()[['ds','y','LGBMRegressor']]
+max_day = crossvalidation_df.iloc[crossvalidation_df['y'].argmax()].ds.day # Day with maximum load
+cv_df_day = crossvalidation_df.query('ds.dt.day == @max_day')
+max_hour = cv_df_day['y'].argmax()
+peaks = cv_df_day['LGBMRegressor'].argsort().iloc[-npeaks:].values # Predicted peaks
+
+

In the following plot we see how the LightGBM model is able to correctly detect the coincident peak for September 2022.

+
+
import matplotlib.pyplot as plt
+
+
+
fig, ax = plt.subplots(figsize=(10, 5))
+ax.axvline(cv_df_day.iloc[max_hour]['ds'], color='black', label='True Peak')
+ax.scatter(cv_df_day.iloc[peaks]['ds'], cv_df_day.iloc[peaks]['LGBMRegressor'], color='green', label=f'Predicted Top-{npeaks}')
+ax.plot(cv_df_day['ds'], cv_df_day['y'], label='y', color='blue')
+ax.plot(cv_df_day['ds'], cv_df_day['LGBMRegressor'], label='Forecast', color='red')
+ax.set(xlabel='Time', ylabel='Load (MW)')
+ax.grid()
+ax.legend()
+fig.savefig('../../figs/electricity_peak_forecasting__predicted_peak.png', bbox_inches='tight')
+plt.close()
+
+

+
+
+
+ +
+
+Important +
+
+
+

In this example we only include September. However, MLForecast and LightGBM can correctly predict the peaks for the 4 months of 2022. You can try this by increasing the n_windows parameter of cross_validation or filtering the Y_df dataset.

+
+
+
+
+

Next steps

+

MLForecast and LightGBM in particular are good benchmarking models for peak detection. However, it might be useful to explore further and newer forecasting algorithms or perform hyperparameter optimization.

+ + +
+ +

Give us a ⭐ on Github

+ +
+ + + + \ No newline at end of file diff --git a/docs/tutorials/prediction_intervals_in_forecasting_models.html b/docs/tutorials/prediction_intervals_in_forecasting_models.html new file mode 100644 index 00000000..13d2980f --- /dev/null +++ b/docs/tutorials/prediction_intervals_in_forecasting_models.html @@ -0,0 +1,2196 @@ + + + + + + + + + +mlforecast - Prediction intervals + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
+ + +
+ +
+ + +
+ + + +
+ +
+
+

Prediction intervals

+
+ + + +
+ + + + +
+ + +
+ + +

The objective of the following article is to obtain a step-by-step guide on building Prediction intervals in forecasting models using mlforecast.

+

During this walkthrough, we will become familiar with the main MlForecast class and some relevant methods such as MLForecast.fit, MLForecast.predict and MLForecast.cross_validation in other.

+

Let’s start!!!

+
+

Table of contents

+
    +
  1. Introduction
  2. +
  3. Forecasts and prediction intervals
  4. +
  5. Installing mlforecast
  6. +
  7. Loading libraries and data
  8. +
  9. Explore Data with the plot method
  10. +
  11. Split the data into training and testing
  12. +
  13. Modeling with mlforecast
  14. +
  15. References
  16. +
+
+
+

Introduction

+

The target of our prediction is something unknown (otherwise we wouldn’t be making a prediction), so we can think of it as a random variable. For example, the total sales for the next month could have different possible values, and we won’t know what the exact value will be until we get the actual sales at the end of the month. Until next month’s sales are known, this is a random amount.

+

By the time the next month draws near, we usually have a pretty good idea of possible sales values. However, if we are forecasting sales for the same month next year, the possible values can vary much more. In most forecasting cases, the variability associated with what we are forecasting reduces as we get closer to the event. In other words, the further back in time we make the prediction, the more uncertainty there is.

+

We can imagine many possible future scenarios, each yielding a different value for what we are trying to forecast.

+

When we obtain a forecast, we are estimating the middle of the range of possible values the random variable could take. Often, a forecast is accompanied by a prediction interval giving a range of values the random variable could take with relatively high probability. For example, a 95% prediction interval contains a range of values which should include the actual future value with probability 95%.

+

Rather than plotting individual possible futures , we usually show these prediction intervals instead.

+

When we generate a forecast, we usually produce a single value known as the point forecast. This value, however, doesn’t tell us anything about the uncertainty associated with the forecast. To have a measure of this uncertainty, we need prediction intervals.

+

A prediction interval is a range of values that the forecast can take with a given probability. Hence, a 95% prediction interval should contain a range of values that include the actual future value with probability 95%. Probabilistic forecasting aims to generate the full forecast distribution. Point forecasting, on the other hand, usually returns the mean or the median or said distribution. However, in real-world scenarios, it is better to forecast not only the most probable future outcome, but many alternative outcomes as well.

+

The problem is that some timeseries models provide forecast distributions, but some other ones only provide point forecasts. How can we then estimate the uncertainty of predictions?

+
+
+

Forecasts and prediction intervals

+

There are at least four sources of uncertainty in forecasting using time series models:

+
    +
  1. The random error term;
  2. +
  3. The parameter estimates;
  4. +
  5. The choice of model for the historical data;
  6. +
  7. The continuation of the historical data generating process into the future.
  8. +
+

When we produce prediction intervals for time series models, we generally only take into account the first of these sources of uncertainty. It would be possible to account for 2 and 3 using simulations, but that is almost never done because it would take too much time to compute. As computing speeds increase, it might become a viable approach in the future.

+

Even if we ignore the model uncertainty and the DGP uncertainty (sources 3 and 4), and just try to allow for parameter uncertainty as well as the random error term (sources 1 and 2), there are no closed form solutions apart from some simple special cases. see full article Rob J Hyndman

+
+

Forecast distributions

+

We use forecast distributions to express the uncertainty in our predictions. These probability distributions describe the probability of observing different future values using the fitted model. The point forecast corresponds to the mean of this distribution. Most time series models generate forecasts that follow a normal distribution, which implies that we assume that possible future values follow a normal distribution. However, later in this section we will look at some alternatives to normal distributions.

+
+

Importance of Confidence Interval Prediction in Time Series:

+
    +
  1. Uncertainty Estimation: The confidence interval provides a measure of the uncertainty associated with time series predictions. It enables variability and the range of possible future values to be quantified, which is essential for making informed decisions.

  2. +
  3. Precision evaluation: By having a confidence interval, the precision of the predictions can be evaluated. If the interval is narrow, it indicates that the forecast is more accurate and reliable. On the other hand, if the interval is wide, it indicates greater uncertainty and less precision in the predictions.

  4. +
  5. Risk management: The confidence interval helps in risk management by providing information about possible future scenarios. It allows identifying the ranges in which the real values could be located and making decisions based on those possible scenarios.

  6. +
  7. Effective communication: The confidence interval is a useful tool for communicating predictions clearly and accurately. It allows the variability and uncertainty associated with the predictions to be conveyed to the stakeholders, avoiding a wrong or overly optimistic interpretation of the results.

  8. +
+

Therefore, confidence interval prediction in time series is essential to understand and manage uncertainty, assess the accuracy of predictions, and make informed decisions based on possible future scenarios.

+
+
+
+

Prediction intervals

+

A prediction interval gives us a range in which we expect \(y_t\) to lie with a specified probability. For example, if we assume that the distribution of future observations follows a normal distribution, a 95% prediction interval for the forecast of step h would be represented by the range

+

\[\hat{y}_{T+h|T} \pm 1.96 \hat\sigma_h,\]

+

Where \(\hat\sigma_h\) is an estimate of the standard deviation of the h -step forecast distribution.

+

More generally, a prediction interval can be written as

+

\[\hat{y}_{T+h|T} \pm c \hat\sigma_h\]

+

In this context, the term “multiplier c” is associated with the probability of coverage. In this article, intervals of 80% and 95% are typically calculated, but any other percentage can be used. The table below shows the values of c corresponding to different coverage probabilities, assuming a normal forecast distribution.

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
PercentageMultiplier
500.67
550.76
600.84
650.93
701.04
751.15
801.28
851.44
901.64
951.96
962.05
972.17
982.33
992.58
+

Prediction intervals are valuable because they reflect the uncertainty in the predictions. If we only generate point forecasts, we cannot assess how accurate those forecasts are. However, by providing prediction intervals, the amount of uncertainty associated with each forecast becomes apparent. For this reason, point forecasts may lack significant value without the inclusion of corresponding forecast intervals.

+
+
+

One-step prediction intervals

+

When making a prediction for a future step, it is possible to estimate the standard deviation of the forecast distribution using the standard deviation of the residuals, which is calculated by

+

\[\begin{equation} + \hat{\sigma} = \sqrt{\frac{1}{T-K-M}\sum_{t=1}^T e_t^2}, \tag{1} +\end{equation}\]

+

where \(K\) is the number of parameters estimated in the forecasting method, and \(M\) is the number of missing values in the residuals. (For example, \(M=1\) for a naive forecast, because we can’t forecast the first observation.)

+
+
+

Multi-step prediction intervals

+

A typical feature of forecast intervals is that they tend to increase in length as the forecast horizon lengthens. As we move further out in time, there is greater uncertainty associated with the prediction, resulting in wider prediction intervals. In general, σh tends to increase as h increases (although there are some nonlinear forecasting methods that do not follow this property).

+

To generate a prediction interval, it is necessary to have an estimate of σh. As mentioned above, for one-step forecasts (h=1), equation (1) provides a good estimate of the standard deviation of the forecast, σ1. However, for multi-step forecasts, a more complex calculation method is required. These calculations assume that the residuals are uncorrelated with each other.

+
+
+

Benchmark methods

+

For the four benchmark methods, it is possible to mathematically derive the forecast standard deviation under the assumption of uncorrelated residuals. If \(\hat{\sigma}_h\) denotes the standard deviation of the \(h\) -step forecast distribution, and \(\hat{\sigma}\) is the residual standard deviation given by (1), then we can use the expressions shown in next Table. Note that when \(h=1\) and \(T\) is large, these all give the same approximate value \(\hat{\sigma}\).

+ + + + + + + + + + + + + + + + + + + + + + + + + +
Methodh-step forecast standard deviation
Mean forecasts\(\hat\sigma_h = \hat\sigma\sqrt{1 + 1/T}\)
Naïve forecasts\(\hat\sigma_h = \hat\sigma\sqrt{h}\)
Seasonal naïve forecasts\(\hat\sigma_h = \hat\sigma\sqrt{k+1}\)
Drift forecasts\(\hat\sigma_h = \hat\sigma\sqrt{h(1+h/T)}\)
+

Note that when \(h=1\) and \(T\) is large, these all give the same approximate value \(\hat{\sigma}\).

+
+
+

Prediction intervals from bootstrapped residuals

+

When a normal distribution for the residuals is an unreasonable assumption, one alternative is to use bootstrapping, which only assumes that the residuals are uncorrelated with constant variance. We will illustrate the procedure using a naïve forecasting method.

+

A one-step forecast error is defined as \(e_t = y_t - \hat{y}_{t|t-1}\). For a naïve forecasting method, {t|t-1} = y{t-1}, so we can rewrite this as \[y_t = y_{t-1} + e_t.\]

+

Assuming future errors will be similar to past errors, when \(t>T\) we can replace \(e_{t}\) by sampling from the collection of errors we have seen in the past (i.e., the residuals). So we can simulate the next observation of a time series using

+

\[y^*_{T+1} = y_{T} + e^*_{T+1}\]

+

where \(e^*_{T+1}\) is a randomly sampled error from the past, and \(y^*_{T+1}\) is the possible future value that would arise if that particular error value occurred. We use We use a * to indicate that this is not the observed \(y_{T+1}\) value, but one possible future that could occur. Adding the new simulated observation to our data set, we can repeat the process to obtain

+

\[y^*_{T+2} = y_{T+1}^* + e^*_{T+2},\]

+

where \(e^*_{T+2}\) is another draw from the collection of residuals. Continuing in this way, we can simulate an entire set of future values for our time series.

+
+
+

Conformal Prediction

+

Multi-quantile losses and statistical models can provide provide prediction intervals, but the problem is that these are uncalibrated, meaning that the actual frequency of observations falling within the interval does not align with the confidence level associated with it. For example, a calibrated 95% prediction interval should contain the true value 95% of the time in repeated sampling. An uncalibrated 95% prediction interval, on the other hand, might contain the true value only 80% of the time, or perhaps 99% of the time. In the first case, the interval is too narrow and underestimates the uncertainty, while in the second case, it is too wide and overestimates the uncertainty.

+

Statistical methods also assume normality. Here, we talk about another method called conformal prediction that doesn’t require any distributional assumptions.

+

Conformal prediction intervals use cross-validation on a point forecaster model to generate the intervals. This means that no prior probabilities are needed, and the output is well-calibrated. No additional training is needed, and the model is treated as a black box. The approach is compatible with any model

+

mlforecast now supports Conformal Prediction on all available models.

+
+
+
+

Installing mlforecast

+
    +
  • using pip:

    +
      +
    • pip install mlforecast
    • +
  • +
  • using with conda:

    +
      +
    • conda install -c conda-forge mlforecast
    • +
  • +
+
+
+

Loading libraries and data

+
+
# Handling and processing of Data
+# ==============================================================================
+import numpy as np
+import pandas as pd
+
+import scipy.stats as stats
+
+# Handling and processing of Data for Date (time)
+# ==============================================================================
+import datetime
+import time
+from datetime import datetime, timedelta
+
+# 
+# ==============================================================================
+from statsmodels.tsa.stattools import adfuller
+import statsmodels.api as sm
+import statsmodels.tsa.api as smt
+from statsmodels.tsa.seasonal import seasonal_decompose 
+# 
+# ==============================================================================
+from utilsforecast.plotting import plot_series
+
+
+
from mlforecast import MLForecast
+import xgboost as xgb
+
+# 
+# ==============================================================================
+from numba import njit
+from window_ops.expanding import expanding_mean
+from window_ops.rolling import rolling_mean
+from window_ops.ewm import ewm_mean
+from mlforecast.target_transforms import Differences
+
+from mlforecast.utils import PredictionIntervals
+
+
+
# Plot
+# ==============================================================================
+import matplotlib.pyplot as plt
+import matplotlib.ticker as ticker
+from statsmodels.graphics.tsaplots import plot_acf, plot_pacf
+
+
+

Read Data

+
+
data_url = "https://raw.githubusercontent.com/Naren8520/Serie-de-tiempo-con-Machine-Learning/main/Data/nyc_taxi.csv"
+df = pd.read_csv(data_url, parse_dates=["timestamp"])
+df.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
timestampvalue
02014-07-01 00:00:0010844
12014-07-01 00:30:008127
22014-07-01 01:00:006210
32014-07-01 01:30:004656
42014-07-01 02:00:003820
+ +
+
+
+

The input to MlForecast is always a data frame in long format with three columns: unique_id, ds and y:

+
    +
  • The unique_id (string, int or category) represents an identifier for the series.

  • +
  • The ds (datestamp) column should be of a format expected by Pandas, ideally YYYY-MM-DD for a date or YYYY-MM-DD HH:MM:SS for a timestamp.

  • +
  • The y (numeric) represents the measurement we wish to forecast.

  • +
+
+
df["unique_id"] = "1"
+df.columns=["ds", "y", "unique_id"]
+df.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
dsyunique_id
02014-07-01 00:00:00108441
12014-07-01 00:30:0081271
22014-07-01 01:00:0062101
32014-07-01 01:30:0046561
42014-07-01 02:00:0038201
+ +
+
+
+
+
df.info()
+
+
<class 'pandas.core.frame.DataFrame'>
+RangeIndex: 10320 entries, 0 to 10319
+Data columns (total 3 columns):
+ #   Column     Non-Null Count  Dtype         
+---  ------     --------------  -----         
+ 0   ds         10320 non-null  datetime64[ns]
+ 1   y          10320 non-null  int64         
+ 2   unique_id  10320 non-null  object        
+dtypes: datetime64[ns](1), int64(1), object(1)
+memory usage: 242.0+ KB
+
+
+
+
+
+

Explore Data with the plot method

+

Plot some series using the plot method from the StatsForecast class. This method prints 8 random series from the dataset and is useful for basic EDA.

+
+
fig = plot_series(df)
+
+

+
+

The Augmented Dickey-Fuller Test

+

An Augmented Dickey-Fuller (ADF) test is a type of statistical test that determines whether a unit root is present in time series data. Unit roots can cause unpredictable results in time series analysis. A null hypothesis is formed in the unit root test to determine how strongly time series data is affected by a trend. By accepting the null hypothesis, we accept the evidence that the time series data is not stationary. By rejecting the null hypothesis or accepting the alternative hypothesis, we accept the evidence that the time series data is generated by a stationary process. This process is also known as stationary trend. The values of the ADF test statistic are negative. Lower ADF values indicate a stronger rejection of the null hypothesis.

+

Augmented Dickey-Fuller Test is a common statistical test used to test whether a given time series is stationary or not. We can achieve this by defining the null and alternate hypothesis.

+
    +
  • Null Hypothesis: Time Series is non-stationary. It gives a time-dependent trend.

  • +
  • Alternate Hypothesis: Time Series is stationary. In another term, the series doesn’t depend on time.

  • +
  • ADF or t Statistic < critical values: Reject the null hypothesis, time series is stationary.

  • +
  • ADF or t Statistic > critical values: Failed to reject the null hypothesis, time series is non-stationary.

  • +
+
+
def augmented_dickey_fuller_test(series , column_name):
+    print (f'Dickey-Fuller test results for columns: {column_name}')
+    dftest = adfuller(series, autolag='AIC')
+    dfoutput = pd.Series(dftest[0:4], index=['Test Statistic','p-value','No Lags Used','Number of observations used'])
+    for key,value in dftest[4].items():
+       dfoutput['Critical Value (%s)'%key] = value
+    print (dfoutput)
+    if dftest[1] <= 0.05:
+        print("Conclusion:====>")
+        print("Reject the null hypothesis")
+        print("The data is stationary")
+    else:
+        print("Conclusion:====>")
+        print("The null hypothesis cannot be rejected")
+        print("The data is not stationary")
+
+
+
augmented_dickey_fuller_test(df["y"],'Ads')
+
+
Dickey-Fuller test results for columns: Ads
+Test Statistic                -1.076452e+01
+p-value                        2.472132e-19
+No Lags Used                   3.900000e+01
+Number of observations used    1.028000e+04
+Critical Value (1%)           -3.430986e+00
+Critical Value (5%)           -2.861821e+00
+Critical Value (10%)          -2.566920e+00
+dtype: float64
+Conclusion:====>
+Reject the null hypothesis
+The data is stationary
+
+
+
+
+

Autocorrelation plots

+
+

Autocorrelation Function

+

Definition 1. Let \(\{x_t;1 ≤ t ≤ n\}\) be a time series sample of size n from \(\{X_t\}\). 1. \(\bar x = \sum_{t=1}^n \frac{x_t}{n}\) is called the sample mean of \(\{X_t\}\). 2. \(c_k =\sum_{t=1}^{n−k} (x_{t+k}- \bar x)(x_t−\bar x)/n\) is known as the sample autocovariance function of \(\{X_t\}\). 3. \(r_k = c_k /c_0\) is said to be the sample autocorrelation function of \(\{X_t\}\).

+

Note the following remarks about this definition:

+
    +
  • Like most literature, this guide uses ACF to denote the sample autocorrelation function as well as the autocorrelation function. What is denoted by ACF can easily be identified in context.

  • +
  • Clearly c0 is the sample variance of \(\{X_t\}\). Besides, \(r_0 = c_0/c_0 = 1\) and for any integer \(k, |r_k| ≤ 1\).

  • +
  • When we compute the ACF of any sample series with a fixed length \(n\), we cannot put too much confidence in the values of \(r_k\) for large k’s, since fewer pairs of \((x_{t +k }, x_t )\) are available for calculating \(r_k\) as \(k\) is large. One rule of thumb is not to estimate \(r_k\) for \(k > n/3\), and another is \(n ≥ 50, k ≤ n/4\). In any case, it is always a good idea to be careful.

  • +
  • We also compute the ACF of a nonstationary time series sample by Definition 1. In this case, however, the ACF or \(r_k\) very slowly or hardly tapers off as \(k\) increases.

  • +
  • Plotting the ACF \((r_k)\) against lag \(k\) is easy but very helpful in analyzing time series sample. Such an ACF plot is known as a correlogram.

  • +
  • If \(\{X_t\}\) is stationary with \(E(X_t)=0\) and \(\rho_k =0\) for all \(k \neq 0\),thatis,itisa white noise series, then the sampling distribution of \(r_k\) is asymptotically normal with the mean 0 and the variance of \(1/n\). Hence, there is about 95% chance that \(r_k\) falls in the interval \([−1.96/√n, 1.96/√n]\).

  • +
+

Now we can give a summary that (1) if the time series plot of a time series clearly shows a trend or/and seasonality, it is surely nonstationary; (2) if the ACF \(r_k\) very slowly or hardly tapers off as lag \(k\) increases, the time series should also be nonstationary.

+
+
fig, axs = plt.subplots(nrows=1, ncols=2)
+
+plot_acf(df["y"],  lags=30, ax=axs[0],color="fuchsia")
+axs[0].set_title("Autocorrelation");
+
+# Grafico
+plot_pacf(df["y"],  lags=30, ax=axs[1],color="lime")
+axs[1].set_title('Partial Autocorrelation')
+plt.savefig("../../figs/prediction_intervals_in_forecasting_models__autocorrelation.png", bbox_inches='tight')
+plt.close();
+
+

+
+
+
+

Decomposition of the time series

+

How to decompose a time series and why?

+

In time series analysis to forecast new values, it is very important to know past data. More formally, we can say that it is very important to know the patterns that values follow over time. There can be many reasons that cause our forecast values to fall in the wrong direction. Basically, a time series consists of four components. The variation of those components causes the change in the pattern of the time series. These components are:

+
    +
  • Level: This is the primary value that averages over time.
  • +
  • Trend: The trend is the value that causes increasing or decreasing patterns in a time series.
  • +
  • Seasonality: This is a cyclical event that occurs in a time series for a short time and causes short-term increasing or decreasing patterns in a time series.
  • +
  • Residual/Noise: These are the random variations in the time series.
  • +
+

Combining these components over time leads to the formation of a time series. Most time series consist of level and noise/residual and trend or seasonality are optional values.

+

If seasonality and trend are part of the time series, then there will be effects on the forecast value. As the pattern of the forecasted time series may be different from the previous time series.

+

The combination of the components in time series can be of two types: * Additive * multiplicative

+

Additive time series

+

If the components of the time series are added to make the time series. Then the time series is called the additive time series. By visualization, we can say that the time series is additive if the increasing or decreasing pattern of the time series is similar throughout the series. The mathematical function of any additive time series can be represented by: \[y(t) = level + Trend + seasonality + noise\]

+
+
+

Multiplicative time series

+

If the components of the time series are multiplicative together, then the time series is called a multiplicative time series. For visualization, if the time series is having exponential growth or decline with time, then the time series can be considered as the multiplicative time series. The mathematical function of the multiplicative time series can be represented as.

+

\[y(t) = Level * Trend * seasonality * Noise\]

+
+

Additive

+
+
a = seasonal_decompose(df["y"], model = "additive", period=24).plot()
+a.savefig('../../figs/prediction_intervals_in_forecasting_models__seasonal_decompose_aditive.png', bbox_inches='tight')
+plt.close()
+
+

+
+
+

Multiplicative

+
+
b = seasonal_decompose(df["y"], model = "Multiplicative", period=24).plot()
+b.savefig('../../figs/prediction_intervals_in_forecasting_models__seasonal_decompose_multiplicative.png', bbox_inches='tight')
+plt.close();
+
+

+
+
+
+
+

Split the data into training and testing

+

Let’s divide our data into sets 1. Data to train our model. 2. Data to test our model

+

For the test data we will use the last 500 hours to test and evaluate the performance of our model.

+
+
train = df[df.ds<='2015-01-21 13:30:00'] 
+test = df[df.ds>'2015-01-21 13:30:00']
+
+
+
train.shape, test.shape
+
+
((9820, 3), (500, 3))
+
+
+

Now let’s plot the training data and the test data.

+
+
fig = plot_series(train,test)
+
+

+
+
+

Modeling with mlforecast

+
+

Building Model

+

We define the model that we want to use, for our example we are going to use the XGBoost model.

+
+
model1 = [xgb.XGBRegressor()]
+
+

We can use the MLForecast.preprocess method to explore different transformations.

+

If it is true that the series we are working with is a stationary series see (Dickey fuller test), however for the sake of practice and instruction in this guide, we will apply the difference to our series, we will do this using the target_transforms parameter and calling the diff function like: mlforecast.target_transforms.Differences

+
+
mlf = MLForecast(models=model1,
+                 freq='30min', 
+                 target_transforms=[Differences([1])],
+                 )
+
+

It is important to take into account when we use the parameter target_transforms=[Differences([1])] in case the series is stationary we can use a difference, or in the case that the series is not stationary, we can use more than one difference so that the series is constant over time, that is, that it is constant in mean and in variance.

+
+
prep = mlf.preprocess(df)
+prep
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
dsyunique_id
12014-07-01 00:30:00-2717.01
22014-07-01 01:00:00-1917.01
32014-07-01 01:30:00-1554.01
42014-07-01 02:00:00-836.01
52014-07-01 02:30:00-947.01
............
103152015-01-31 21:30:00951.01
103162015-01-31 22:00:001051.01
103172015-01-31 22:30:001588.01
103182015-01-31 23:00:00-718.01
103192015-01-31 23:30:00-303.01
+ +

10319 rows × 3 columns

+
+
+
+

This has subtacted the lag 1 from each value, we can see what our series look like now.

+
+
fig = plot_series(prep)
+
+

+
+
+

Adding features

+
+

Lags

+

Looks like the seasonality is gone, we can now try adding some lag features.

+
+
mlf = MLForecast(models=model1,
+                 freq='30min',  
+                 lags=[1,24],
+                 target_transforms=[Differences([1])],
+                 )
+
+
+
prep = mlf.preprocess(df)
+prep
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
dsyunique_idlag1lag24
252014-07-01 12:30:00-22.01445.0-2717.0
262014-07-01 13:00:00-708.01-22.0-1917.0
272014-07-01 13:30:001281.01-708.0-1554.0
282014-07-01 14:00:0087.011281.0-836.0
292014-07-01 14:30:001045.0187.0-947.0
..................
103152015-01-31 21:30:00951.01428.04642.0
103162015-01-31 22:00:001051.01951.0-519.0
103172015-01-31 22:30:001588.011051.02411.0
103182015-01-31 23:00:00-718.011588.0214.0
103192015-01-31 23:30:00-303.01-718.02595.0
+ +

10295 rows × 5 columns

+
+
+
+
+
prep.drop(columns=['unique_id', 'ds']).corr()['y']
+
+
y        1.000000
+lag1     0.663082
+lag24    0.155366
+Name: y, dtype: float64
+
+
+
+
+
+

Lag transforms

+

Lag transforms are defined as a dictionary where the keys are the lags and the values are lists of functions that transform an array. These must be numba jitted functions (so that computing the features doesn’t become a bottleneck). There are some implemented in the window-ops package but you can also implement your own.

+

If the function takes two or more arguments you can either:

+
    +
  • supply a tuple (tfm_func, arg1, arg2, …)
  • +
  • define a new function fixing the arguments
  • +
+
+
from numba import njit
+from window_ops.expanding import expanding_mean
+from window_ops.rolling import rolling_mean
+
+
+
mlf = MLForecast(models=model1,
+                 freq='30min',  
+                 lags=[1,24],
+                 lag_transforms={1: [expanding_mean],24: [(rolling_mean, 7)] },
+                 target_transforms=[Differences([1])],
+                 )
+
+
+
prep = mlf.preprocess(df)
+prep
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
dsyunique_idlag1lag24expanding_mean_lag1rolling_mean_lag24_window_size7
312014-07-01 15:30:00-836.01-1211.0-305.0284.533325-1254.285767
322014-07-01 16:00:00-2316.01-836.0157.0248.387100-843.714294
332014-07-01 16:30:00-1215.01-2316.0-63.0168.250000-578.857117
342014-07-01 17:00:002190.01-1215.0357.0126.333336-305.857147
352014-07-01 17:30:002322.012190.01849.0187.02941977.714287
........................
103152015-01-31 21:30:00951.01428.04642.01.2483032064.285645
103162015-01-31 22:00:001051.01951.0-519.01.3403781873.428589
103172015-01-31 22:30:001588.011051.02411.01.4421292179.000000
103182015-01-31 23:00:00-718.011588.0214.01.5959101888.714233
103192015-01-31 23:30:00-303.01-718.02595.01.5261682071.714355
+ +

10289 rows × 7 columns

+
+
+
+

You can see that both approaches get to the same result, you can use whichever one you feel most comfortable with.

+
+
+

Date features

+

If your time column is made of timestamps then it might make sense to extract features like week, dayofweek, quarter, etc. You can do that by passing a list of strings with pandas time/date components. You can also pass functions that will take the time column as input, as we’ll show here.

+
+
mlf = MLForecast(models=model1,
+                 freq='30min', 
+                 lags=[1,24],
+                 lag_transforms={1: [expanding_mean],24: [(rolling_mean, 7)] },
+                 target_transforms=[Differences([1])],
+                 date_features=["year", "month", "day", "hour"]) # Seasonal data
+
+
+
prep = mlf.preprocess(df)
+prep
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
dsyunique_idlag1lag24expanding_mean_lag1rolling_mean_lag24_window_size7yearmonthdayhour
312014-07-01 15:30:00-836.01-1211.0-305.0284.533325-1254.28576720147115
322014-07-01 16:00:00-2316.01-836.0157.0248.387100-843.71429420147116
332014-07-01 16:30:00-1215.01-2316.0-63.0168.250000-578.85711720147116
342014-07-01 17:00:002190.01-1215.0357.0126.333336-305.85714720147117
352014-07-01 17:30:002322.012190.01849.0187.02941977.71428720147117
....................................
103152015-01-31 21:30:00951.01428.04642.01.2483032064.285645201513121
103162015-01-31 22:00:001051.01951.0-519.01.3403781873.428589201513122
103172015-01-31 22:30:001588.011051.02411.01.4421292179.000000201513122
103182015-01-31 23:00:00-718.011588.0214.01.5959101888.714233201513123
103192015-01-31 23:30:00-303.01-718.02595.01.5261682071.714355201513123
+ +

10289 rows × 11 columns

+
+
+
+
+
+

Fit the Model

+
+
# fit the models
+mlf.fit(df,  
+ fitted=True, 
+prediction_intervals=PredictionIntervals(n_windows=5, h=30, method="conformal_distribution" )  )
+
+
MLForecast(models=[XGBRegressor], freq=<30 * Minutes>, lag_features=['lag1', 'lag24', 'expanding_mean_lag1', 'rolling_mean_lag24_window_size7'], date_features=['year', 'month', 'day', 'hour'], num_threads=1)
+
+
+

Let’s see the results of our model in this case the XGBoost model. We can observe it with the following instruction:

+

Let us now visualize the fitted values of our models.

+
+
result=mlf.forecast_fitted_values()
+result=result.set_index("unique_id")
+result
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
dsyXGBRegressor
unique_id
12014-07-01 15:30:0018544.018243.291016
12014-07-01 16:00:0016228.016489.828125
12014-07-01 16:30:0015013.015105.728516
12014-07-01 17:00:0017203.017362.349609
12014-07-01 17:30:0019525.019678.052734
............
12015-01-31 21:30:0024670.024801.906250
12015-01-31 22:00:0025721.025812.089844
12015-01-31 22:30:0027309.027192.630859
12015-01-31 23:00:0026591.027066.931641
12015-01-31 23:30:0026288.025945.341797
+ +

10289 rows × 3 columns

+
+
+
+
+
from statsmodels.stats.diagnostic import normal_ad
+from scipy import stats
+
+
+
sw_result = stats.shapiro(result["XGBRegressor"])
+ad_result = normal_ad(np.array(result["XGBRegressor"]), axis=0)
+dag_result = stats.normaltest(result["XGBRegressor"], axis=0, nan_policy='propagate')
+
+

It’s important to note that we can only use this method if we assume that the residuals of our validation predictions are normally distributed. To see if this is the case, we will use a PP-plot and test its normality with the Anderson-Darling, Kolmogorov-Smirnov, and D’Agostino K^2 tests.

+

The PP-plot(Probability-to-Probability) plots the data sample against the normal distribution plot in such a way that if normally distributed, the data points will form a straight line.

+

The three normality tests determine how likely a data sample is from a normally distributed population using p-values. The null hypothesis for each test is that “the sample came from a normally distributed population”. This means that if the resulting p-values are below a chosen alpha value, then the null hypothesis is rejected. Thus there is evidence to suggest that the data comes from a non-normal distribution. For this article, we will use an Alpha value of 0.01.

+
+
result=mlf.forecast_fitted_values()
+fig, axs = plt.subplots(nrows=2, ncols=2)
+
+# plot[1,1]
+result["XGBRegressor"].plot(ax=axs[0,0])
+axs[0,0].set_title("Residuals model");
+
+# plot
+axs[0,1].hist(result["XGBRegressor"], density=True,bins=50, alpha=0.5 )
+axs[0,1].set_title("Density plot - Residual");
+
+# plot
+stats.probplot(result["XGBRegressor"], dist="norm", plot=axs[1,0])
+axs[1,0].set_title('Plot Q-Q')
+axs[1,0].annotate("SW p-val: {:.4f}".format(sw_result[1]), xy=(0.05,0.9), xycoords='axes fraction', fontsize=15,
+            bbox=dict(boxstyle="round", fc="none", ec="gray", pad=0.6))
+
+axs[1,0].annotate("AD p-val: {:.4f}".format(ad_result[1]), xy=(0.05,0.8), xycoords='axes fraction', fontsize=15,
+            bbox=dict(boxstyle="round", fc="none", ec="gray", pad=0.6))
+
+axs[1,0].annotate("DAG p-val: {:.4f}".format(dag_result[1]), xy=(0.05,0.7), xycoords='axes fraction', fontsize=15,
+            bbox=dict(boxstyle="round", fc="none", ec="gray", pad=0.6))
+# plot
+plot_acf(result["XGBRegressor"],  lags=35, ax=axs[1,1],color="fuchsia")
+axs[1,1].set_title("Autocorrelation");
+
+plt.savefig("../../figs/prediction_intervals_in_forecasting_models__plot_residual_model.png", bbox_inches='tight')
+plt.close();
+
+

+
+
+

Predict method with prediction intervals

+

To generate forecasts use the predict method.

+
+
forecast_df = mlf.predict(h=30, level=[80,95])
+forecast_df.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
unique_iddsXGBRegressorXGBRegressor-lo-95XGBRegressor-lo-80XGBRegressor-hi-80XGBRegressor-hi-95
012015-02-01 00:00:0024608.86523424016.47587324085.58806225132.14240725201.254596
112015-02-01 00:30:0023323.09765620511.10561521901.00839824745.18691426135.089697
212015-02-01 01:00:0022223.43554720161.90200220995.97128923450.89980524284.969092
312015-02-01 01:30:0020405.22851617227.14794917822.29492222988.16210923583.309082
412015-02-01 02:00:0020014.32421917422.15551817923.69238322104.95605522606.492920
+ +
+
+
+
+
+

Plot prediction intervals

+

Now let’s visualize the result of our forecast and the historical data of our time series, also let’s draw the confidence interval that we have obtained when making the prediction with 95% confidence.

+
+
fig = plot_series(df, forecast_df, level=[80,95], max_insample_length=200,engine="matplotlib")
+fig.get_axes()[0].set_title("Prediction intervals")
+fig.savefig('../../figs/prediction_intervals_in_forecasting_models__plot_forecasting_intervals.png', bbox_inches='tight')
+
+

+

The confidence interval is a range of values that has a high probability of containing the true value of a variable. In machine learning time series models, the confidence interval is used to estimate the uncertainty in the predictions.

+

One of the main benefits of using the confidence interval is that it allows users to understand the accuracy of the predictions. For example, if the confidence interval is very wide, it means that the prediction is less accurate. Conversely, if the confidence interval is very narrow, it means that the prediction is more accurate.

+

Another benefit of the confidence interval is that it helps users make informed decisions. For example, if a prediction is within the confidence interval, it means that it is likely to come true. Conversely, if a prediction is outside the confidence interval, it means that it is less likely to come true.

+

In general, the confidence interval is an important tool for machine learning time series models. It helps users understand the accuracy of the forecasts and make informed decisions.

+
+
+
+

References

+
    +
  1. Changquan Huang • Alla Petukhina. Springer series (2022). Applied Time Series Analysis and Forecasting with Python.
  2. +
  3. Ivan Svetunkov. Forecasting and Analytics with the Augmented Dynamic Adaptive Model (ADAM)
  4. +
  5. James D. Hamilton. Time Series Analysis Princeton University Press, Princeton, New Jersey, 1st Edition, 1994.
  6. +
  7. Nixtla Parameters for Mlforecast.
  8. +
  9. Pandas available frequencies.
  10. +
  11. Rob J. Hyndman and George Athanasopoulos (2018). “Forecasting principles and practice, Time series cross-validation”..
  12. +
  13. Seasonal periods- Rob J Hyndman.
  14. +
+ + +
+ +

Give us a ⭐ on Github

+ +
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