diff --git a/MachineLearning/2021-10-30_ML-Class-3/LogisticRegression.html b/MachineLearning/2021-10-30_ML-Class-3/LogisticRegression.html new file mode 100644 index 0000000..2b49b39 --- /dev/null +++ b/MachineLearning/2021-10-30_ML-Class-3/LogisticRegression.html @@ -0,0 +1,13933 @@ + + + + +LogisticRegression1 + + + + + + + + + + + + + + + + + + + + + + +
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+

Importing important libraries

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In [1]:
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import numpy as np
+import pandas as pd
+import plotly.express as px
+import plotly.graph_objects as go
+import plotly.figure_factory as ff
+import matplotlib.pyplot as plt
+from sklearn.model_selection import train_test_split
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+ +
+
+
+ +
+
+
+
+

Loading the training dataset

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+

For demonstration purposes, let us take a 2 dimensional dataset with tow features (Feature_1 and Feature_2) and consisting of two classes (Class A and Class B) having a distribution specifications as follows:

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Class A: The Class A is centred around the mean of (1,1) and has the covariance matrix [[1,-0.2],[-0.2,1]]

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Class B: The Class B is centred around the mean of (3,4) and has the covariance matrix [[1,0.1],[0.1,1]]

+

Defintions:

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Mean: A Class with centre (x1, x2) as mean denotes that the average value along "Feature_1" is x1 and the average value along "Feature_2" is x2

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P.S: Since we would like to ensure that the outputs corrosponds to the desired output, we will also add the seed value of 42 while generating these distributions.

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In [2]:
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mean_01=np.array([1,1])
+cov_01=np.array([[1,-0.2],[-0.2,1]])
+mean_02=np.array([3,4])
+cov_02=np.array([[1,0.1],[0.1,1]])
+np.random.seed(42)
+data_01=np.random.multivariate_normal(mean_01,cov_01,500, check_valid= "warn")
+data_02=np.random.multivariate_normal(mean_02,cov_02,500, check_valid= "warn")
+data = np.vstack((data_01,data_02))
+df_train = pd.DataFrame(data, columns = ["Feature_1", "Feature_2"])
+df_train["class"] = [0]*500 + [1]*500 
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+ +
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+ +
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+

Visualising the dataset

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In [3]:
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fig = go.Figure(
+    layout = dict(
+        width = 800,
+        height = 800,
+        title_text = "Visualization of the dataset",
+        xaxis = dict(
+            title = dict(
+                text = "Feature_1"
+            )
+        ),
+        yaxis = dict(
+            title = dict(
+                text = "Feature_2"
+            )
+        )
+    )
+)
+
+scatter_trace_1 = go.Scatter(
+    x = df_train["Feature_1"][:500],
+    y = df_train["Feature_2"][:500],
+    mode = "markers",
+    name= "Class A",
+    hovertemplate = "Feature_1: %{x}<br>Feature_2: %{y}",
+    marker = dict(
+        size = 9,
+        opacity = .80,
+        color = "lightblue",
+        line = dict(
+            color = "blue",
+            width = 1,
+        )
+    )
+)
+
+scatter_trace_2 = go.Scatter(
+    x = df_train["Feature_1"][500:],
+    y = df_train["Feature_2"][500:],
+    mode = "markers",
+    name= "Class B",
+    hovertemplate = "Feature_1: %{x}<br>Feature_2: %{y}",
+    marker = dict(
+        symbol = "star-triangle-up",
+        size = 10,
+        opacity = 0.65,
+        color ="darkorange",
+        line = dict(
+            color = "red",
+            width = 1,
+        )
+    )
+)
+
+fig.add_trace(scatter_trace_1)
+fig.add_trace(scatter_trace_2)
+fig.show()
+# fig.write_html(r".\expected outputs\expectedoutput1.html")
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+

Machine Learning Model

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Preparing training and test sets

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In [4]:
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X = df_train[["Feature_1","Feature_2"]]
+Y = df_train[["class"]]
+X = np.hstack((np.ones((1000,1)),X.to_numpy()))
+X_train, X_test, Y_train, Y_test = train_test_split(X, Y.to_numpy(), test_size=0.2, random_state=42)
+print(X_train.shape,Y_train.shape,X_test.shape,Y_test.shape)
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+ +
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+ +
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+ +
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(800, 3) (800, 1) (200, 3) (200, 1)
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+

Defining the model

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In [5]:
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def hypothesis(x,theta):
+    sigmoid=(1.0/(1.0 + np.exp(-1.0*np.dot(x,theta))))
+    return(sigmoid)
+
+def error(X,Y,theta):
+    m=X.shape[0]
+    err=0
+    for i in range(m):
+        hx=hypothesis(X[i],theta)
+        err+=Y[i]*np.log2(hx) + (1-Y[i])*np.log2(1-hx)
+    err /=m
+    return(-err)
+
+def gradient(X,Y,theta):
+    grad=np.zeros((X.shape[1]))
+    m=X.shape[0]
+    fea=X.shape[1]
+    for i in range(m):
+        hx=hypothesis(X[i],theta)
+        for j in range(fea):
+            grad[j]+=(hx-Y[i])*X[i,j]
+    grad=grad/m
+    return(grad)
+    
+def gradient_ascent(X,Y,learning_rate=0.5):
+    theta=2*np.random.random(X.shape[1])
+    theta[0]=0
+    error_list=[]
+    acc_list=[]
+    theta_list = []
+    for i in range(100):
+        grad=gradient(X,Y,theta)
+        err=error(X,Y,theta)
+        error_list.append(err)
+        acc_list.append(accuracy(X,Y,theta))
+        theta_list.append(theta.copy())
+        for j in range(X.shape[1]):
+            theta[j]-=learning_rate*grad[j]
+    probabilty_list = predic_proba(X, theta)
+    return(theta, theta_list, error_list, acc_list, probabilty_list)
+
+def predict(x,theta):
+    p=hypothesis(x,theta)
+    if p<0.5:
+        return 0
+    else:
+        return 1
+
+def predic_proba(x,theta):
+    probabilty_list = []
+    for i in range(X.shape[0]):
+        probability = hypothesis(X[i],theta)
+        probabilty_list.append(probability)
+    return probabilty_list
+
+
+def accuracy(X,Y,theta):
+    y_pred=[]
+    for i in range(X.shape[0]):
+        p=predict(X[i],theta)
+        y_pred.append(p)
+    y_pred=np.array(y_pred)
+    y_pred=y_pred.reshape((-1,1))
+    return(Y==y_pred).sum()/X.shape[0]
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+ +
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+ +
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+

Training the model

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In [6]:
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theta, theta_list, error_list, acc_list, probabilty_list=gradient_ascent(X_train,Y_train)
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+

Visualising Error over training set

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In [7]:
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+
fig = go.Figure(
+    layout = dict(
+        width = 800,
+        height = 800,
+        title_text = "Visualising the error",
+        xaxis = dict(
+            title = dict(
+                text = "Iteration"
+            )
+        ),
+        yaxis = dict(
+            title = dict(
+                text = "Error (Negative of maximum likelihood)"
+            )
+        )
+    )
+)
+
+fig.add_trace(go.Scatter(
+    x = [x for x in range(1,101,1)],
+    y = [x[0] for x in error_list],
+    mode = "lines+markers",
+    name= "",
+    marker = dict(
+        color = "lightblue",
+        line = dict(
+            color = "blue",
+            width = 1,
+        )
+    ),
+    hovertemplate = "Iteration: %{x}<br>Error: %{y}",
+))
+
+fig.show()
+# fig.write_html(r".\expected outputs\expectedoutput2.html")how()
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+

Visalising accuracy over test set

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In [8]:
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+
fig = go.Figure(
+    layout = dict(
+        width = 800,
+        height = 800,
+        title_text = "Visualising the Accuracy",
+        xaxis = dict(
+            title = dict(
+                text = "Iteration"
+            )
+        ),
+        yaxis = dict(
+            title = dict(
+                text = "Accuracy"
+            )
+        )
+    )
+)
+
+fig.add_trace(go.Scatter(
+    x = [x for x in range(1,101,1)],
+    y = acc_list,
+    mode = "lines+markers",
+    name= "",
+    marker = dict(
+        color = "lightblue",
+        line = dict(
+            color = "blue",
+            width = 1,
+        )
+    ),
+    hovertemplate = "Iteration: %{x}<br>Accuracy: %{y}",
+))
+
+fig.show()
+# fig.write_html(r".\expected outputs\expectedoutput3.html")
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In [9]:
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print("The accuracy for the algorithm is:",acc_list[-1])
+print("The final theta parameters calculated are:",theta)
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+ +
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+ +
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+ + +
+ +
+ + +
+
The accuracy for the algorithm is: 0.96375
+The final theta parameters calculated are: [-3.8480557   0.60018874  1.22204899]
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+

Visualising the decision boundry over iterations

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In [10]:
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sliders_dict = {
+    'active': 0,
+    'yanchor': 'top',
+    'xanchor': 'left',
+    'currentvalue': {
+        'font': {'size': 20},
+        'prefix': 'No. of iterations:',
+        'visible': True,
+        'xanchor': 'right'
+    },
+    'transition': {'duration': 300, 'easing': 'linear'},
+    'pad': {'b': 10, 't': 50},
+    'len': 0.9,
+    'x': 0.1,
+    'y': 0,
+    'steps': []
+}
+
+frames = []
+for i in range(100):
+    frame = go.Frame(
+        data = [scatter_trace_1, scatter_trace_2,
+            go.Scatter(
+                x = np.linspace(-3,7,2), 
+                y = -1*(theta_list[i][0]+np.linspace(-4,8,2)*theta_list[i][1])/theta_list[i][2],
+                mode = "lines",
+                name = "Decision Boundry",
+                hoverinfo = "none"
+            )
+        ],
+        name = str(i+1)
+    )
+    frames.append(frame)
+
+for i in range(100):
+    slider_step = {'args': [
+        [i+1],{
+            'frame': {'duration': 300, 'redraw': True},
+            'mode': 'immediate',
+            'transition': {'duration': 300}
+        }],
+    'label': i+1,
+    'method': 'animate'}
+    sliders_dict['steps'].append(slider_step)
+fig = go.Figure(
+    data = [scatter_trace_1, scatter_trace_2, 
+            go.Scatter(
+                x = np.linspace(-3,7,2), 
+                y = -1*(theta_list[0][0]+np.linspace(-4,8,2)*theta_list[0][1])/theta_list[0][2],
+                mode = "lines",
+                name = "Decision Boundry",
+                hoverinfo = "none"
+            )],
+    layout = go.Layout(updatemenus=[{
+        'buttons': [{
+            "args": [None,{"fromcurrent": True,
+                           "transition": {"duration": 50,
+                                          "easing": "linear"}}],
+            'label': 'Play',
+            'method': 'animate'
+        },
+        {
+            'args': [[None],{'frame': {'duration': 0, 'redraw': False},
+                             'mode': 'immediate',
+                             'transition': {'duration': 0}}],
+            'label': 'Pause',
+            'method': 'animate'
+        }],
+        'direction': 'left',
+        'pad': {'r': 10, 't': 87},
+        'showactive': False,
+        'type': 'buttons',
+        'x': 0.1,
+        'xanchor': 'right',
+        'y': 0,
+        'yanchor': 'top'
+    }]),
+    frames = frames
+)
+fig.update_layout(
+    width = 800,
+    height = 800,
+    title_text = "Visualising the convergence of decision boundary",
+    xaxis = dict(
+        range = [-3.5,7.5],
+        title = dict(
+            text = "Feature_1"
+        )
+    ),
+    yaxis = dict(
+        title = dict(
+            text = "Feature_2"
+        )
+    )
+)
+fig['layout']['sliders'] = [sliders_dict]
+fig.show()
+# fig.write_html(r".\expected outputs\expectedoutput4.html")
+
+ +
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+ +
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+ + +
+ +
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+

Plotting the decision boundry

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In [11]:
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+
+
fig = go.Figure(
+    layout = dict(
+        width = 800,
+        height = 800,
+        title_text = "Visualization of the decision boundary",
+        xaxis = dict(
+            range = [-4,8],
+            title = dict(
+                text = "Feature_1"
+            )
+        ),
+        yaxis = dict(
+            title = dict(
+                text = "Feature_2"
+            )
+        )
+    )
+)
+
+fig.add_trace(scatter_trace_1)
+fig.add_trace(scatter_trace_2)
+
+fig.add_trace(go.Scatter(
+    x = np.linspace(-3,7,2), 
+    y = -1*(theta[0]+np.linspace(-4,8,2)*theta[1])/theta[2],
+    mode = "lines",
+    name = "Decision Boundry",
+    hoverinfo = "none"
+))
+
+fig.show()
+# fig.write_html(r".\expected outputs\expectedoutput5.html")
+plt.show()
+
+ +
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+ +
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+ + + + + + diff --git a/MachineLearning/2021-10-30_ML-Class-3/LogisticRegression.ipynb b/MachineLearning/2021-10-30_ML-Class-3/LogisticRegression.ipynb new file mode 100644 index 0000000..1a73309 --- /dev/null +++ b/MachineLearning/2021-10-30_ML-Class-3/LogisticRegression.ipynb @@ -0,0 +1,219300 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Importing important libraries" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import plotly.express as px\n", + "import plotly.graph_objects as go\n", + "import plotly.figure_factory as ff\n", + "import matplotlib.pyplot as plt\n", + "from sklearn.model_selection import train_test_split" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Loading the training dataset" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For demonstration purposes, let us take a 2 dimensional dataset with tow features (Feature_1 and Feature_2) and consisting of two classes (Class A and Class B) having a distribution specifications as follows:\n", + "\n", + "**Class A:** The Class A is centred around the mean of (1,1) and has the covariance matrix [[1,-0.2],[-0.2,1]]\n", + "\n", + "**Class B:** The Class B is centred around the mean of (3,4) and has the covariance matrix [[1,0.1],[0.1,1]]\n", + "\n", + "Defintions: \n", + "\n", + "**Mean:** A Class with centre (x1, x2) as mean denotes that the average value along \"Feature_1\" is x1 and the average value along \"Feature_2\" is x2\n", + "\n", + "P.S: Since we would like to ensure that the outputs corrosponds to the desired output, we will also add the seed value of 42 while generating these distributions.\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "mean_01=np.array([1,1])\n", + "cov_01=np.array([[1,-0.2],[-0.2,1]])\n", + "mean_02=np.array([3,4])\n", + "cov_02=np.array([[1,0.1],[0.1,1]])\n", + "np.random.seed(42)\n", + "data_01=np.random.multivariate_normal(mean_01,cov_01,500, check_valid= \"warn\")\n", + "data_02=np.random.multivariate_normal(mean_02,cov_02,500, check_valid= \"warn\")\n", + "data = np.vstack((data_01,data_02))\n", + "df_train = pd.DataFrame(data, columns = [\"Feature_1\", \"Feature_2\"])\n", + "df_train[\"class\"] = [0]*500 + [1]*500 " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Visualising the dataset" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hovertemplate": "Feature_1: %{x}
Feature_2: %{y}", + "marker": { + "color": "lightblue", + "line": { + "color": "blue", + "width": 1 + }, + "opacity": 0.8, + "size": 9 + }, + "mode": "markers", + "name": "Class A", + "type": "scatter", + "x": [ + 0.5278008493539086, + 1.4615512738190284, + 1.0332932104763093, + 0.2621153530120318, + 1.7067983966657803, + 1.0644084422419167, + -0.39748784470172205, + 1.980493749317834, + 1.9832830762418723, + 0.8101331356686662, + -0.27808012492932344, + 0.04660300544323093, + 1.4918306506993169, + 2.1291680814664646, + 1.2807694029122698, + 2.6375635223514386, + 0.34149977701537004, + -0.40926986938901644, + -0.40118925582536824, + 2.153314467278144, + 0.5363690642431049, + 0.8991460763502, + 1.6899887573372625, + 2.02539205771685, + -0.381210082046858, + 0.5054182182147904, + 1.9111995794645136, + 0.7903844670930967, + 1.4544920205769665, + 1.360393361790326, + 1.2537457217585457, + 1.1004158890752849, + 1.2283817131358843, + 1.6904687331773973, + 0.31186838189615473, + 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"linecolor": "white", + "ticks": "" + }, + "bgcolor": "#E5ECF6", + "radialaxis": { + "gridcolor": "white", + "linecolor": "white", + "ticks": "" + } + }, + "scene": { + "xaxis": { + "backgroundcolor": "#E5ECF6", + "gridcolor": "white", + "gridwidth": 2, + "linecolor": "white", + "showbackground": true, + "ticks": "", + "zerolinecolor": "white" + }, + "yaxis": { + "backgroundcolor": "#E5ECF6", + "gridcolor": "white", + "gridwidth": 2, + "linecolor": "white", + "showbackground": true, + "ticks": "", + "zerolinecolor": "white" + }, + "zaxis": { + "backgroundcolor": "#E5ECF6", + "gridcolor": "white", + "gridwidth": 2, + "linecolor": "white", + "showbackground": true, + "ticks": "", + "zerolinecolor": "white" + } + }, + "shapedefaults": { + "line": { + "color": "#2a3f5f" + } + }, + "ternary": { + "aaxis": { + "gridcolor": "white", + "linecolor": "white", + "ticks": "" + }, + "baxis": { + "gridcolor": "white", + "linecolor": "white", + "ticks": "" + }, + "bgcolor": "#E5ECF6", + "caxis": { + "gridcolor": "white", + "linecolor": "white", + "ticks": "" + } + }, + "title": { + "x": 0.05 + }, + "xaxis": { + "automargin": true, + "gridcolor": "white", + "linecolor": "white", + "ticks": "", + "title": { + "standoff": 15 + }, + "zerolinecolor": "white", + "zerolinewidth": 2 + }, + "yaxis": { + "automargin": true, + "gridcolor": "white", + "linecolor": "white", + "ticks": "", + "title": { + "standoff": 15 + }, + "zerolinecolor": "white", + "zerolinewidth": 2 + } + } + }, + "title": { + "text": "Visualization of the dataset" + }, + "width": 800, + "xaxis": { + "title": { + "text": "Feature_1" + } + }, + "yaxis": { + "title": { + "text": "Feature_2" + } + } + } + } + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = go.Figure(\n", + " layout = dict(\n", + " width = 800,\n", + " height = 800,\n", + " title_text = \"Visualization of the dataset\",\n", + " xaxis = dict(\n", + " title = dict(\n", + " text = \"Feature_1\"\n", + " )\n", + " ),\n", + " yaxis = dict(\n", + " title = dict(\n", + " text = \"Feature_2\"\n", + " )\n", + " )\n", + " )\n", + ")\n", + "\n", + "scatter_trace_1 = go.Scatter(\n", + " x = df_train[\"Feature_1\"][:500],\n", + " y = df_train[\"Feature_2\"][:500],\n", + " mode = \"markers\",\n", + " name= \"Class A\",\n", + " hovertemplate = \"Feature_1: %{x}
Feature_2: %{y}\",\n", + " marker = dict(\n", + " size = 9,\n", + " opacity = .80,\n", + " color = \"lightblue\",\n", + " line = dict(\n", + " color = \"blue\",\n", + " width = 1,\n", + " )\n", + " )\n", + ")\n", + "\n", + "scatter_trace_2 = go.Scatter(\n", + " x = df_train[\"Feature_1\"][500:],\n", + " y = df_train[\"Feature_2\"][500:],\n", + " mode = \"markers\",\n", + " name= \"Class B\",\n", + " hovertemplate = \"Feature_1: %{x}
Feature_2: %{y}\",\n", + " marker = dict(\n", + " symbol = \"star-triangle-up\",\n", + " size = 10,\n", + " opacity = 0.65,\n", + " color =\"darkorange\",\n", + " line = dict(\n", + " color = \"red\",\n", + " width = 1,\n", + " )\n", + " )\n", + ")\n", + "\n", + "fig.add_trace(scatter_trace_1)\n", + "fig.add_trace(scatter_trace_2)\n", + "# fig.write_html(r\".\\expected outputs\\expectedoutput1.html\")\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Machine Learning Model" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Preparing training and test sets" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(800, 3) (800, 1) (200, 3) (200, 1)\n" + ] + } + ], + "source": [ + "X = df_train[[\"Feature_1\",\"Feature_2\"]]\n", + "Y = df_train[[\"class\"]]\n", + "X = np.hstack((np.ones((1000,1)),X.to_numpy()))\n", + "X_train, X_test, Y_train, Y_test = train_test_split(X, Y.to_numpy(), test_size=0.2, random_state=42)\n", + "print(X_train.shape,Y_train.shape,X_test.shape,Y_test.shape)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Defining the model" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "def hypothesis(x,theta):\n", + " sigmoid=(1.0/(1.0 + np.exp(-1.0*np.dot(x,theta))))\n", + " return(sigmoid)\n", + "\n", + "def error(X,Y,theta):\n", + " m=X.shape[0]\n", + " err=0\n", + " for i in range(m):\n", + " hx=hypothesis(X[i],theta)\n", + " err+=Y[i]*np.log2(hx) + (1-Y[i])*np.log2(1-hx)\n", + " err /=m\n", + " return(-err)\n", + "\n", + "def gradient(X,Y,theta):\n", + " grad=np.zeros((X.shape[1]))\n", + " m=X.shape[0]\n", + " fea=X.shape[1]\n", + " for i in range(m):\n", + " hx=hypothesis(X[i],theta)\n", + " for j in range(fea):\n", + " grad[j]+=(hx-Y[i])*X[i,j]\n", + " grad=grad/m\n", + " return(grad)\n", + " \n", + "def gradient_ascent(X,Y,learning_rate=0.5):\n", + " theta=2*np.random.random(X.shape[1])\n", + " theta[0]=0\n", + " error_list=[]\n", + " acc_list=[]\n", + " theta_list = []\n", + " for i in range(100):\n", + " grad=gradient(X,Y,theta)\n", + " err=error(X,Y,theta)\n", + " error_list.append(err)\n", + " acc_list.append(accuracy(X,Y,theta))\n", + " theta_list.append(theta.copy())\n", + " for j in range(X.shape[1]):\n", + " theta[j]-=learning_rate*grad[j]\n", + " probabilty_list = predic_proba(X, theta)\n", + " return(theta, theta_list, error_list, acc_list, probabilty_list)\n", + "\n", + "def predict(x,theta):\n", + " p=hypothesis(x,theta)\n", + " if p<0.5:\n", + " return 0\n", + " else:\n", + " return 1\n", + "\n", + "def predic_proba(x,theta):\n", + " probabilty_list = []\n", + " for i in range(X.shape[0]):\n", + " probability = hypothesis(X[i],theta)\n", + " probabilty_list.append(probability)\n", + " return probabilty_list\n", + "\n", + "\n", + "def accuracy(X,Y,theta):\n", + " y_pred=[]\n", + " for i in range(X.shape[0]):\n", + " p=predict(X[i],theta)\n", + " y_pred.append(p)\n", + " y_pred=np.array(y_pred)\n", + " y_pred=y_pred.reshape((-1,1))\n", + " return(Y==y_pred).sum()/X.shape[0]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Training the model" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "theta, theta_list, error_list, acc_list, probabiliy_list = gradient_ascent(X_train,Y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[array([0. , 0.13201969, 0.69764107]),\n", + " array([-0.16014534, -0.01468603, 0.53407737]),\n", + " array([-0.27391557, -0.0652636 , 0.47816388]),\n", + " array([-0.35923017, -0.05307775, 0.49625238]),\n", + " array([-0.44194991, -0.04057381, 0.51357473]),\n", + " array([-0.52221976, -0.02794221, 0.53009358]),\n", + " 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dict(\n", + " title = dict(\n", + " text = \"Accuracy\"\n", + " )\n", + " )\n", + " )\n", + ")\n", + "\n", + "fig.add_trace(go.Scatter(\n", + " x = [x for x in range(1,101,1)],\n", + " y = acc_list,\n", + " mode = \"lines+markers\",\n", + " name= \"\",\n", + " marker = dict(\n", + " color = \"lightblue\",\n", + " line = dict(\n", + " color = \"blue\",\n", + " width = 1,\n", + " )\n", + " ),\n", + " hovertemplate = \"Iteration: %{x}
Accuracy: %{y}\",\n", + "))\n", + "\n", + "fig.show()\n", + "# fig.write_html(r\".\\expected outputs\\expectedoutput3.html\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The accuracy for the algorithm is: 0.96375\n", + "The final theta parameters calculated are: [-3.8480557 0.60018874 1.22204899]\n" + ] + } + ], + "source": [ + "print(\"The accuracy for the algorithm is:\", acc_list[-1])\n", + "print(\"The final theta parameters calculated are:\", theta)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Visualising the decision boundry over iterations" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hovertemplate": "Feature_1: %{x}
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" 'buttons': [{\n", + " \"args\": [None,{\"fromcurrent\": True,\n", + " \"transition\": {\"duration\": 50,\n", + " \"easing\": \"linear\"}}],\n", + " 'label': 'Play',\n", + " 'method': 'animate'\n", + " },\n", + " {\n", + " 'args': [[None],{'frame': {'duration': 0, 'redraw': False},\n", + " 'mode': 'immediate',\n", + " 'transition': {'duration': 0}}],\n", + " 'label': 'Pause',\n", + " 'method': 'animate'\n", + " }],\n", + " 'direction': 'left',\n", + " 'pad': {'r': 10, 't': 87},\n", + " 'showactive': False,\n", + " 'type': 'buttons',\n", + " 'x': 0.1,\n", + " 'xanchor': 'right',\n", + " 'y': 0,\n", + " 'yanchor': 'top'\n", + " }]),\n", + " frames = frames\n", + ")\n", + "fig.update_layout(\n", + " width = 800,\n", + " height = 800,\n", + " title_text = \"Visualising the convergence of decision boundary\",\n", + " xaxis = dict(\n", + " range = [-3.5,7.5],\n", + " title = dict(\n", + " text = \"Feature_1\"\n", + " )\n", + " ),\n", + " yaxis = dict(\n", + " title = dict(\n", + " text = \"Feature_2\"\n", + " )\n", + " )\n", + ")\n", + "fig['layout']['sliders'] = [sliders_dict]\n", + "fig.show()\n", + "# fig.write_html(r\".\\expected outputs\\expectedoutput4.html\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plotting the decision boundry" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hovertemplate": "Feature_1: %{x}
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dict(\n", + " width = 800,\n", + " height = 800,\n", + " title_text = \"Visualization of the decision boundary\",\n", + " xaxis = dict(\n", + " range = [-4,8],\n", + " title = dict(\n", + " text = \"Feature_1\"\n", + " )\n", + " ),\n", + " yaxis = dict(\n", + " title = dict(\n", + " text = \"Feature_2\"\n", + " )\n", + " )\n", + " )\n", + ")\n", + "\n", + "fig.add_trace(scatter_trace_1)\n", + "fig.add_trace(scatter_trace_2)\n", + "\n", + "fig.add_trace(go.Scatter(\n", + " x = np.linspace(-3,7,2), \n", + " y = -1*(theta[0]+np.linspace(-4,8,2)*theta[1])/theta[2],\n", + " mode = \"lines\",\n", + " name = \"Decision Boundry\",\n", + " hoverinfo = \"none\"\n", + "))\n", + "\n", + "fig.show()\n", + "# fig.write_html(r\".\\expected outputs\\expectedoutput5.html\")" + ] + } + ], + "metadata": { + "interpreter": { + "hash": "635ab6de74fbb5b035466f073663c0f5bc077558564d134679cdd2ccd2d2697c" + }, + "kernelspec": { + "display_name": "Python 3.8.5 32-bit", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.5" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/MachineLearning/2021-10-30_ML-Class-3/README.md b/MachineLearning/2021-10-30_ML-Class-3/README.md new file mode 100644 index 0000000..542af4c --- /dev/null +++ b/MachineLearning/2021-10-30_ML-Class-3/README.md @@ -0,0 +1,20 @@ +# Machine Learning Class - III + +### Machine Learning Class - III recording: [Here](https://bit.ly/MLClass3) + +#### October 30, 2021 + +## Topics covered: + +- [Logistic Regression](#logistic-regression) + +## Logistic Regression + +- The notebook used to demonstrate the concepts in class have been uploaded in the repository folder. +- If you want to dive deeper into the mathematics behind Linear Regression you can follow the course "Fundamentals of ML by Sanjay Dasgupta". + + +## Additional reading material + +- Video of 3blue1brown which gives an indepth explanation to gradient descent can be found [here](https://www.youtube.com/watch?v=IHZwWFHWa-w). +- Python tutorial covering the prerequisites for attempting the notebook can be found [here](https://www.youtube.com/playlist?list=PLsyeobzWxl7poL9JTVyndKe62ieoN-MZ3) (videos 1-70) diff --git a/MachineLearning/README.md b/MachineLearning/README.md index 451f3b3..6a94fde 100644 --- a/MachineLearning/README.md +++ b/MachineLearning/README.md @@ -12,6 +12,7 @@ - [Class 1: held on April 29, 2021](./2021-04-29_ML-Class-1) - [Class 2: held on May 03, 2021](./2021-05-03_ML-Class-2) +- [Class 3: held on October 30, 2021](./2021-10-30_ML-Class-3) ## Machine Learning Resources diff --git a/README.md b/README.md index a91041f..317a359 100644 --- a/README.md +++ b/README.md @@ -90,6 +90,7 @@ If you are a part of MNNIT join us on Microsoft Team [MNNIT CC Queries Official] - [Machine Learning classes](MachineLearning) - [Machine Learning Class-1](MachineLearning/2021-04-29_ML-Class-1) - [Machine Learning Class-2](MachineLearning/2021-05-03_ML-Class-2) + - [Machine Learning Class-2](MachineLearning/2021-10-30_ML-Class-3) - [Linux classes](Linux) - [Linux Class-1](Linux/2021_09_05_LinuxClass-1)