From d638e671b48d409b883ad932346e90336ecc13e0 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Fran=C3=A7ois=20Maillet?= Date: Thu, 4 Aug 2016 11:04:33 -0400 Subject: [PATCH] Mldb 1879 stddev variance (#591) * [MLDB-1879] Fixed variance/stddev in sql * [MDLB-1879] Updated titanic notebook to reflect fix in stddev * [MDLB-1879] PR comments --- .../demos/Predicting Titanic Survival.ipynb | 69 +++++++++++-------- .../doc/builtin/sql/ValueExpression.md | 2 + sql/builtin_aggregators.cc | 38 +++++++--- testing/stddev_builtin_fct_test.py | 33 ++++++--- testing/summary_stats_proc_test.py | 2 +- 5 files changed, 94 insertions(+), 50 deletions(-) diff --git a/container_files/demos/Predicting Titanic Survival.ipynb b/container_files/demos/Predicting Titanic Survival.ipynb index 469c718bf..edc9192ea 100644 --- a/container_files/demos/Predicting Titanic Survival.ipynb +++ b/container_files/demos/Predicting Titanic Survival.ipynb @@ -32,7 +32,16 @@ "metadata": { "collapsed": false }, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python2.7/dist-packages/matplotlib/font_manager.py:273: UserWarning: Matplotlib is building the font cache using fc-list. This may take a moment.\n", + " warnings.warn('Matplotlib is building the font cache using fc-list. This may take a moment.')\n" + ] + } + ], "source": [ "from pymldb import Connection\n", "mldb = Connection(\"http://localhost\")\n", @@ -73,12 +82,12 @@ "PUT http://localhost/v1/procedures/import_titanic_raw
201 Created
{\n",
        "  "status": {\n",
        "    "firstRun": {\n",
-       "      "runStarted": "2016-07-26T21:33:56.3872967Z", \n",
+       "      "runStarted": "2016-08-04T14:38:21.6763978Z", \n",
        "      "status": {\n",
        "        "numLineErrors": 0\n",
        "      }, \n",
-       "      "runFinished": "2016-07-26T21:33:56.850797Z", \n",
-       "      "id": "2016-07-26T21:33:56.386200Z-463496b56263af05", \n",
+       "      "runFinished": "2016-08-04T14:38:22.035869Z", \n",
+       "      "id": "2016-08-04T14:38:21.676210Z-463496b56263af05", \n",
        "      "state": "finished"\n",
        "    }\n",
        "  }, \n",
@@ -294,7 +303,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 4,
    "metadata": {
     "collapsed": false
    },
@@ -327,7 +336,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 5,
    "metadata": {
     "collapsed": false
    },
@@ -442,13 +451,13 @@
        "    \n",
        "    \n",
        "      value.stddev\n",
-       "      2469.44\n",
-       "      1.21604\n",
-       "      66231\n",
-       "      0.236772\n",
-       "      211.019\n",
-       "      0.699015\n",
-       "      0.649728\n",
+       "      49.6934\n",
+       "      1.10274\n",
+       "      257.354\n",
+       "      0.486592\n",
+       "      14.5265\n",
+       "      0.836071\n",
+       "      0.806057\n",
        "    \n",
        "  \n",
        "\n",
@@ -465,7 +474,7 @@
        "value.min                 0         0           1         0     0.42   \n",
        "value.num_null            0         0           0         0      177   \n",
        "value.num_unique        248         7         891         2       88   \n",
-       "value.stddev        2469.44   1.21604       66231  0.236772  211.019   \n",
+       "value.stddev        49.6934   1.10274     257.354  0.486592  14.5265   \n",
        "\n",
        "_rowName              Pclass     Parch  \n",
        "value.1st_quartile         2         0  \n",
@@ -477,10 +486,10 @@
        "value.min                  1         0  \n",
        "value.num_null             0         0  \n",
        "value.num_unique           3         7  \n",
-       "value.stddev        0.699015  0.649728  "
+       "value.stddev        0.836071  0.806057  "
       ]
      },
-     "execution_count": 17,
+     "execution_count": 5,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -505,7 +514,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 6,
    "metadata": {
     "collapsed": false
    },
@@ -563,7 +572,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 7,
    "metadata": {
     "collapsed": false,
     "scrolled": true
@@ -605,7 +614,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 8,
    "metadata": {
     "collapsed": false
    },
@@ -760,7 +769,7 @@
        "217               0.026882              5       1  "
       ]
      },
-     "execution_count": 6,
+     "execution_count": 8,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -781,7 +790,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 9,
    "metadata": {
     "collapsed": false
    },
@@ -790,7 +799,7 @@
      "data": {
       "image/png": 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m/wHgXrPzkIsLQhGxAHgGwBAAewAsE5EPlVIbnZpdCWC1UmqUiIQDUCLyulKK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\niIiIiMhG/T/gNeA8ii7XLQAAAABJRU5ErkJggg==\n",
       "text/plain": [
-       ""
+       ""
       ]
      },
      "metadata": {},
@@ -826,7 +835,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 10,
    "metadata": {
     "collapsed": false
    },
@@ -856,7 +865,7 @@
        ""
       ]
      },
-     "execution_count": 8,
+     "execution_count": 10,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -880,7 +889,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 11,
    "metadata": {
     "collapsed": false
    },
@@ -889,7 +898,7 @@
      "data": {
       "image/png": 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       "text/plain": [
-       ""
+       ""
       ]
      },
      "metadata": {},
@@ -931,7 +940,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 12,
    "metadata": {
     "collapsed": false
    },
@@ -940,7 +949,7 @@
      "data": {
       "image/png": 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wQ5skSZIkVZihTZIkSZIqzNAmSZIkSRVmaJMkSZKkCjO0SZIkSVKFGdokSZIkqcIMbZIk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\nrkJggg==\n",
       "text/plain": [
-       ""
+       ""
       ]
      },
      "metadata": {},
@@ -973,7 +982,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 13,
    "metadata": {
     "collapsed": false
    },
@@ -999,7 +1008,7 @@
        ""
       ]
      },
-     "execution_count": 11,
+     "execution_count": 13,
      "metadata": {},
      "output_type": "execute_result"
     }
diff --git a/container_files/public_html/doc/builtin/sql/ValueExpression.md b/container_files/public_html/doc/builtin/sql/ValueExpression.md
index f81a7e8e4..d59bf24c0 100644
--- a/container_files/public_html/doc/builtin/sql/ValueExpression.md
+++ b/container_files/public_html/doc/builtin/sql/ValueExpression.md
@@ -623,6 +623,8 @@ The standard SQL aggregation functions operate 'vertically' down columns. MLDB d
   - `vertical_count()` alias of `count()`, operates on columns.
   - `vertical_sum()` alias of `sum()`, operates on columns.
   - `vertical_avg()` alias of `avg()`, operates on columns.
+  - `vertical_stddev()` alias of `stddev()`, operates on columns.
+  - `vertical_variance()` alias of `variance()`, operates on columns.
   - `vertical_min()` alias of `min()`, operates on columns.
   - `vertical_max()` alias of `max()`, operates on columns.
   - `vertical_latest()` alias of `latest()`, operates on columns.
diff --git a/sql/builtin_aggregators.cc b/sql/builtin_aggregators.cc
index 467cec151..5e8003d6f 100644
--- a/sql/builtin_aggregators.cc
+++ b/sql/builtin_aggregators.cc
@@ -1007,14 +1007,14 @@ struct LaterAccum {
 static RegisterAggregatorT > registerEarliest("earliest", "vertical_earliest");
 static RegisterAggregatorT > registerLatest("latest", "vertical_latest");
 
-struct StdAggAccum {
+struct VarAccum {
     static constexpr int nargs = 1;
     int64_t n;
     double mean;
     double M2;
     Date ts;
 
-    StdAggAccum() : n(0), mean(0), M2(0), ts(Date::negativeInfinity())
+    VarAccum() : n(0), mean(0), M2(0), ts(Date::negativeInfinity())
     {
     }
 
@@ -1040,16 +1040,21 @@ struct StdAggAccum {
 
         ts.setMax(val.getEffectiveTimestamp());
     }
-     
+    
+    double variance() const
+    {
+        if (n < 2)
+            return std::nan("");
+
+        return M2 / (n - 1);
+    }
+
     ExpressionValue extract()
     {
-        if (n < 2) {
-            return ExpressionValue(std::nan(""), ts);
-        }
-        return ExpressionValue(M2 / (n - 1), ts);
+        return ExpressionValue(variance(), ts);
     }
 
-    void merge(StdAggAccum* src)
+    void merge(VarAccum* src)
     {
         double delta = src->mean - mean;
         M2 = M2 + src->M2 + delta * delta * n * src->n / (n + src->n);
@@ -1059,8 +1064,21 @@ struct StdAggAccum {
     }
 };
 
-static RegisterAggregatorT
-registerStdAgg("stddev", "vertical_stddev");
+struct StdDevAccum : public VarAccum {
+
+    StdDevAccum(): VarAccum()
+    {
+    }
+
+    ExpressionValue extract()
+    {
+        return ExpressionValue(sqrt(variance()), ts);
+    }
+};
+
+
+static RegisterAggregatorT registerVarAgg("variance", "vertical_variance");
+static RegisterAggregatorT registerStdDevAgg("stddev", "vertical_stddev");
 
 
 } // namespace Builtins
diff --git a/testing/stddev_builtin_fct_test.py b/testing/stddev_builtin_fct_test.py
index f3b83a5f8..9d4e3782d 100644
--- a/testing/stddev_builtin_fct_test.py
+++ b/testing/stddev_builtin_fct_test.py
@@ -5,6 +5,7 @@
 #
 import unittest
 import random
+import math
 
 mldb = mldb_wrapper.wrap(mldb)  # noqa
 
@@ -13,19 +14,27 @@ class StdDevBuiltinFctTest(MldbUnitTest):  # noqa
     @classmethod
     def setUpClass(cls):
         ds = mldb.create_dataset({'id' : 'ds', 'type' : 'sparse.mutable'})
-        ds.record_row('1', [['a', 1, 0]])
-        ds.record_row('2', [['a', 2, 0]])
-        ds.record_row('3', [['a', 3, 0]])
-        ds.record_row('4', [['a', 10, 0]])
-        ds.record_row('5', [['b', 10, 0]])
+        for i in xrange(100):
+            ds.record_row('a%d-1' % i, [['a', 1, 0]])
+            ds.record_row('a%d-2' % i, [['a', 2, 0]])
+            ds.record_row('a%d-3' % i, [['a', 3, 0]])
+            ds.record_row('a%d-4' % i, [['a', 10, 0]])
+            ds.record_row('a%d-5' % i, [['a', 10, 0]])
         ds.commit()
 
     def test_base(self):
+        var = 15.791583166332668
+        res = mldb.query("SELECT variance(a) FROM ds")[1][1]
+        self.assertAlmostEqual(res, var)
+
+        res = mldb.query("SELECT vertical_variance(a) FROM ds")[1][1]
+        self.assertAlmostEqual(res, var)
+
         res = mldb.query("SELECT stddev(a) FROM ds")[1][1]
-        self.assertAlmostEqual(res, 16.6666666667)
+        self.assertAlmostEqual(res, math.sqrt(var))
 
         res = mldb.query("SELECT vertical_stddev(a) FROM ds")[1][1]
-        self.assertAlmostEqual(res, 16.6666666667)
+        self.assertAlmostEqual(res, math.sqrt(var))
 
     def test_nan(self):
         ds = mldb.create_dataset({'id' : 'null_ds', 'type' : 'tabular'})
@@ -37,6 +46,12 @@ def test_nan(self):
         res = mldb.query("SELECT stddev(c) FROM null_ds")
         self.assertEqual(res[1][1], "NaN")
 
+        res = mldb.query("SELECT variance(b) FROM null_ds")
+        self.assertEqual(res[1][1], "NaN")
+
+        res = mldb.query("SELECT variance(c) FROM null_ds")
+        self.assertEqual(res[1][1], "NaN")
+
     @unittest.skip("Run manually if you want numpy comparison test")
     def test_random_sequences(self):
         """
@@ -59,7 +74,7 @@ def test_random_sequences(self):
                 mldb.log(sequence)
 
             mldb_res = mldb.query("SELECT stddev(a) FROM rand")[1][1]
-            numpy_res = float(numpy.var(sequence, ddof=1))
+            numpy_res = float(numpy.std(sequence, ddof=1))
             if (numpy_res == 0):
                 mldb.log("Skipping case where numpy_re == 0")
             else:
@@ -99,7 +114,7 @@ def test_pre_generated_sequence(self):
 
         ds.commit()
         res = mldb.query("SELECT stddev(col) FROM pre_gen_seq_input")
-        self.assertEqual(res[1][1],  62294040173.716774)
+        self.assertAlmostEqual(res[1][1], 249587.74043152996)
 
 if __name__ == '__main__':
     mldb.run_tests()
diff --git a/testing/summary_stats_proc_test.py b/testing/summary_stats_proc_test.py
index a9d9d3bea..17c259d53 100644
--- a/testing/summary_stats_proc_test.py
+++ b/testing/summary_stats_proc_test.py
@@ -60,7 +60,7 @@ def test_it(self):
              "NaN", None, None],
 
             ["colA", "number", 0, 2, 10, 4, 1, 1, 1, 10, None, None, None, 2,
-             27, 1, None]
+             5.196152422706632, 1, None]
         ])
 
     def test_dottest_col_names(self):