From 36140de255310a82371e84367610ad7619aa5c20 Mon Sep 17 00:00:00 2001
From: Xavier Bourret Sicotte
<33765414+xavierbourretsicotte@users.noreply.github.com>
Date: Wed, 30 May 2018 08:48:33 +0200
Subject: [PATCH] Update chapter 7 - added local regression
- Added section on local regression using Numpy implementation (based on Alexandre Manfort's code) as well as a statsmodel implementation.
- Reproduction of figure 7.9 page 281 of the ISLR book
- Mathematical derivation of the vectorized implementation in Numpy
---
Notebooks/Chapter 7.ipynb | 959 ++++++++++----------------------------
1 file changed, 246 insertions(+), 713 deletions(-)
diff --git a/Notebooks/Chapter 7.ipynb b/Notebooks/Chapter 7.ipynb
index dabcb03..03c342c 100644
--- a/Notebooks/Chapter 7.ipynb
+++ b/Notebooks/Chapter 7.ipynb
@@ -17,9 +17,18 @@
},
{
"cell_type": "code",
- "execution_count": 22,
+ "execution_count": 1,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/anaconda3/lib/python3.6/site-packages/statsmodels/compat/pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n",
+ " from pandas.core import datetools\n"
+ ]
+ }
+ ],
"source": [
"# %load ../standard_import.txt\n",
"import pandas as pd\n",
@@ -50,114 +59,22 @@
"metadata": {},
"outputs": [
{
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+ "evalue": "File b'Data/Wage.csv' does not exist",
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+ "\u001b[0;32m/anaconda3/lib/python3.6/site-packages/pandas/io/parsers.py\u001b[0m in \u001b[0;36mparser_f\u001b[0;34m(filepath_or_buffer, sep, delimiter, header, names, index_col, usecols, squeeze, prefix, mangle_dupe_cols, dtype, engine, converters, true_values, false_values, skipinitialspace, skiprows, nrows, na_values, keep_default_na, na_filter, verbose, skip_blank_lines, parse_dates, infer_datetime_format, keep_date_col, date_parser, dayfirst, iterator, chunksize, compression, thousands, decimal, lineterminator, quotechar, quoting, escapechar, comment, encoding, dialect, tupleize_cols, error_bad_lines, warn_bad_lines, skipfooter, skip_footer, doublequote, delim_whitespace, as_recarray, compact_ints, use_unsigned, low_memory, buffer_lines, memory_map, float_precision)\u001b[0m\n\u001b[1;32m 707\u001b[0m skip_blank_lines=skip_blank_lines)\n\u001b[1;32m 708\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 709\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0m_read\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfilepath_or_buffer\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkwds\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 710\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 711\u001b[0m \u001b[0mparser_f\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__name__\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+ "\u001b[0;32m/anaconda3/lib/python3.6/site-packages/pandas/io/parsers.py\u001b[0m in \u001b[0;36m_read\u001b[0;34m(filepath_or_buffer, kwds)\u001b[0m\n\u001b[1;32m 447\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 448\u001b[0m \u001b[0;31m# Create the parser.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 449\u001b[0;31m \u001b[0mparser\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mTextFileReader\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfilepath_or_buffer\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwds\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 450\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 451\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mchunksize\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0miterator\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+ "\u001b[0;32m/anaconda3/lib/python3.6/site-packages/pandas/io/parsers.py\u001b[0m in \u001b[0;36m__init__\u001b[0;34m(self, f, engine, **kwds)\u001b[0m\n\u001b[1;32m 816\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0moptions\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'has_index_names'\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mkwds\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'has_index_names'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 817\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 818\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_make_engine\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mengine\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 819\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 820\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mclose\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
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+ "\u001b[0;32m/anaconda3/lib/python3.6/site-packages/pandas/io/parsers.py\u001b[0m in \u001b[0;36m__init__\u001b[0;34m(self, src, **kwds)\u001b[0m\n\u001b[1;32m 1693\u001b[0m \u001b[0mkwds\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'allow_leading_cols'\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mindex_col\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1694\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1695\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_reader\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mparsers\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mTextReader\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msrc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwds\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1696\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1697\u001b[0m \u001b[0;31m# XXX\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+ "\u001b[0;32mpandas/_libs/parsers.pyx\u001b[0m in \u001b[0;36mpandas._libs.parsers.TextReader.__cinit__\u001b[0;34m()\u001b[0m\n",
+ "\u001b[0;32mpandas/_libs/parsers.pyx\u001b[0m in \u001b[0;36mpandas._libs.parsers.TextReader._setup_parser_source\u001b[0;34m()\u001b[0m\n",
+ "\u001b[0;31mFileNotFoundError\u001b[0m: File b'Data/Wage.csv' does not exist"
+ ]
}
],
"source": [
@@ -167,34 +84,9 @@
},
{
"cell_type": "code",
- "execution_count": 3,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "\n",
- "RangeIndex: 3000 entries, 0 to 2999\n",
- "Data columns (total 13 columns):\n",
- "Unnamed: 0 3000 non-null int64\n",
- "year 3000 non-null int64\n",
- "age 3000 non-null int64\n",
- "sex 3000 non-null object\n",
- "maritl 3000 non-null object\n",
- "race 3000 non-null object\n",
- "education 3000 non-null object\n",
- "region 3000 non-null object\n",
- "jobclass 3000 non-null object\n",
- "health 3000 non-null object\n",
- "health_ins 3000 non-null object\n",
- "logwage 3000 non-null float64\n",
- "wage 3000 non-null float64\n",
- "dtypes: float64(2), int64(3), object(8)\n",
- "memory usage: 304.8+ KB\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
"df.info()"
]
@@ -222,24 +114,9 @@
},
{
"cell_type": "code",
- "execution_count": 8,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "X4:\n",
- " [[1.000000e+00 1.800000e+01 3.240000e+02 5.832000e+03 1.049760e+05]\n",
- " [1.000000e+00 2.400000e+01 5.760000e+02 1.382400e+04 3.317760e+05]\n",
- " [1.000000e+00 4.500000e+01 2.025000e+03 9.112500e+04 4.100625e+06]\n",
- " [1.000000e+00 4.300000e+01 1.849000e+03 7.950700e+04 3.418801e+06]\n",
- " [1.000000e+00 5.000000e+01 2.500000e+03 1.250000e+05 6.250000e+06]]\n",
- "y:\n",
- " [0 0 0 0 0]\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
"X1 = PolynomialFeatures(1).fit_transform(df.age.values.reshape(-1,1))\n",
"X2 = PolynomialFeatures(2).fit_transform(df.age.values.reshape(-1,1))\n",
@@ -261,42 +138,9 @@
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+ "execution_count": null,
"metadata": {},
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"source": [
"fit2 = sm.GLS(df.wage, X4).fit()\n",
"fit2.summary().tables[1]"
@@ -311,114 +155,9 @@
},
{
"cell_type": "code",
- "execution_count": 10,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "name": "stderr",
- "output_type": "stream",
- "text": [
- "/Users/jordi/anaconda3/envs/jwv/lib/python3.6/site-packages/scipy/stats/_distn_infrastructure.py:879: RuntimeWarning: invalid value encountered in greater\n",
- " return (self.a < x) & (x < self.b)\n",
- "/Users/jordi/anaconda3/envs/jwv/lib/python3.6/site-packages/scipy/stats/_distn_infrastructure.py:879: RuntimeWarning: invalid value encountered in less\n",
- " return (self.a < x) & (x < self.b)\n",
- "/Users/jordi/anaconda3/envs/jwv/lib/python3.6/site-packages/scipy/stats/_distn_infrastructure.py:1821: RuntimeWarning: invalid value encountered in less_equal\n",
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- " 1.0 | \n",
- " 1282.563017 | \n",
- " 0.804976 | \n",
- " 3.696820e-01 | \n",
- "
\n",
- " \n",
- "
\n",
- "
"
- ],
- "text/plain": [
- " df_resid ssr df_diff ss_diff F Pr(>F)\n",
- "0 2998.0 5.022216e+06 0.0 NaN NaN NaN\n",
- "1 2997.0 4.793430e+06 1.0 228786.010128 143.593107 2.363850e-32\n",
- "2 2996.0 4.777674e+06 1.0 15755.693664 9.888756 1.679202e-03\n",
- "3 2995.0 4.771604e+06 1.0 6070.152124 3.809813 5.104620e-02\n",
- "4 2994.0 4.770322e+06 1.0 1282.563017 0.804976 3.696820e-01"
- ]
- },
- "execution_count": 10,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"fit_1 = sm.GLS(df.wage, X1).fit()\n",
"fit_2 = sm.GLS(df.wage, X2).fit()\n",
@@ -438,7 +177,7 @@
},
{
"cell_type": "code",
- "execution_count": 11,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -454,7 +193,7 @@
},
{
"cell_type": "code",
- "execution_count": 12,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -471,7 +210,7 @@
},
{
"cell_type": "code",
- "execution_count": 13,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -480,7 +219,7 @@
},
{
"cell_type": "code",
- "execution_count": 14,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -497,20 +236,9 @@
},
{
"cell_type": "code",
- "execution_count": 15,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"# creating plots\n",
"fig, (ax1, ax2) = plt.subplots(1,2, figsize=(12,5))\n",
@@ -542,24 +270,9 @@
},
{
"cell_type": "code",
- "execution_count": 16,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "(17.938, 33.5] 750\n",
- "(33.5, 49.0] 1399\n",
- "(49.0, 64.5] 779\n",
- "(64.5, 80.0] 72\n",
- "Name: age, dtype: int64"
- ]
- },
- "execution_count": 16,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"df_cut, bins = pd.cut(df.age, 4, retbins=True, right=True)\n",
"df_cut.value_counts(sort=False)"
@@ -567,84 +280,9 @@
},
{
"cell_type": "code",
- "execution_count": 17,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/html": [
- "\n",
- "\n",
- "
\n",
- " \n",
- " \n",
- " | \n",
- " age | \n",
- " age_cuts | \n",
- " wage | \n",
- "
\n",
- " \n",
- " \n",
- " \n",
- " 0 | \n",
- " 18 | \n",
- " (17.938, 33.5] | \n",
- " 75.043154 | \n",
- "
\n",
- " \n",
- " 1 | \n",
- " 24 | \n",
- " (17.938, 33.5] | \n",
- " 70.476020 | \n",
- "
\n",
- " \n",
- " 2 | \n",
- " 45 | \n",
- " (33.5, 49.0] | \n",
- " 130.982177 | \n",
- "
\n",
- " \n",
- " 3 | \n",
- " 43 | \n",
- " (33.5, 49.0] | \n",
- " 154.685293 | \n",
- "
\n",
- " \n",
- " 4 | \n",
- " 50 | \n",
- " (49.0, 64.5] | \n",
- " 75.043154 | \n",
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- " age age_cuts wage\n",
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- "2 45 (33.5, 49.0] 130.982177\n",
- "3 43 (33.5, 49.0] 154.685293\n",
- "4 50 (49.0, 64.5] 75.043154"
- ]
- },
- "execution_count": 17,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"df_steps = pd.concat([df.age, df_cut, df.wage], keys=['age','age_cuts','wage'], axis=1)\n",
"df_steps.head(5)"
@@ -652,96 +290,9 @@
},
{
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- "execution_count": 18,
+ "execution_count": null,
"metadata": {},
- "outputs": [
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- "data": {
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- " (33.5, 49.0] | \n",
- " (49.0, 64.5] | \n",
- " (64.5, 80.0] | \n",
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- " const (17.938, 33.5] (33.5, 49.0] (49.0, 64.5] (64.5, 80.0]\n",
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- "2 1.0 0 1 0 0\n",
- "3 1.0 0 1 0 0\n",
- "4 1.0 0 0 1 0"
- ]
- },
- "execution_count": 18,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"# Create dummy variables for the age groups\n",
"df_steps_dummies = pd.get_dummies(df_steps['age_cuts'])\n",
@@ -754,39 +305,9 @@
},
{
"cell_type": "code",
- "execution_count": 23,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/html": [
- "\n",
- "\n",
- " | coef | std err | z | P>|z| | [0.025 | 0.975] | \n",
- "
\n",
- "\n",
- " const | 94.1584 | 1.476 | 63.790 | 0.000 | 91.265 | 97.051 | \n",
- "
\n",
- "\n",
- " (33.5, 49.0] | 24.0535 | 1.829 | 13.148 | 0.000 | 20.468 | 27.639 | \n",
- "
\n",
- "\n",
- " (49.0, 64.5] | 23.6646 | 2.068 | 11.443 | 0.000 | 19.611 | 27.718 | \n",
- "
\n",
- "\n",
- " (64.5, 80.0] | 7.6406 | 4.987 | 1.532 | 0.126 | -2.135 | 17.416 | \n",
- "
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- "
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- ],
- "text/plain": [
- ""
- ]
- },
- "execution_count": 23,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"# Using statsmodels because it has a more complete output for coefficients\n",
"fit3 = sm.GLM(df_steps.wage, df_steps_dummies.drop(df_steps_dummies.columns[1], axis=1)).fit()\n",
@@ -795,22 +316,9 @@
},
{
"cell_type": "code",
- "execution_count": 24,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "array([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2,\n",
- " 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,\n",
- " 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4])"
- ]
- },
- "execution_count": 24,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"# Put the test data in the same bins as the training data.\n",
"bin_mapping = np.digitize(age_grid.ravel(), bins)\n",
@@ -819,90 +327,9 @@
},
{
"cell_type": "code",
- "execution_count": 25,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/html": [
- "\n",
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- " 3 | \n",
- " 4 | \n",
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- " 0 | \n",
- " 1.0 | \n",
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- " 0 | \n",
- " 0 | \n",
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- " \n",
- " 1 | \n",
- " 1.0 | \n",
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- " 0 | \n",
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- " 2 | \n",
- " 1.0 | \n",
- " 0 | \n",
- " 0 | \n",
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- " 1.0 | \n",
- " 0 | \n",
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- " 4 | \n",
- " 1.0 | \n",
- " 0 | \n",
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- "text/plain": [
- " const 2 3 4\n",
- "0 1.0 0 0 0\n",
- "1 1.0 0 0 0\n",
- "2 1.0 0 0 0\n",
- "3 1.0 0 0 0\n",
- "4 1.0 0 0 0"
- ]
- },
- "execution_count": 25,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"# Get dummies, drop first dummy category, add constant\n",
"X_test2 = sm.add_constant(pd.get_dummies(bin_mapping).drop(1, axis=1))\n",
@@ -918,7 +345,7 @@
},
{
"cell_type": "code",
- "execution_count": 26,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -934,7 +361,7 @@
},
{
"cell_type": "code",
- "execution_count": 27,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -953,20 +380,9 @@
},
{
"cell_type": "code",
- "execution_count": 28,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"# creating plots\n",
"fig, (ax1, ax2) = plt.subplots(1,2, figsize=(12,5))\n",
@@ -1016,27 +432,9 @@
},
{
"cell_type": "code",
- "execution_count": 29,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "Intercept 60.493714\n",
- "bs(df.age, knots=(25, 40, 60), degree=3, include_intercept=False)[0] 3.980500\n",
- "bs(df.age, knots=(25, 40, 60), degree=3, include_intercept=False)[1] 44.630980\n",
- "bs(df.age, knots=(25, 40, 60), degree=3, include_intercept=False)[2] 62.838788\n",
- "bs(df.age, knots=(25, 40, 60), degree=3, include_intercept=False)[3] 55.990830\n",
- "bs(df.age, knots=(25, 40, 60), degree=3, include_intercept=False)[4] 50.688098\n",
- "bs(df.age, knots=(25, 40, 60), degree=3, include_intercept=False)[5] 16.606142\n",
- "dtype: float64"
- ]
- },
- "execution_count": 29,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"# Specifying 3 knots\n",
"transformed_x = dmatrix(\"bs(df.age, knots=(25,40,60), degree=3, include_intercept=False)\",\n",
@@ -1049,27 +447,9 @@
},
{
"cell_type": "code",
- "execution_count": 30,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "Intercept 56.313841\n",
- "bs(df.age, df=6, degree=3, include_intercept=False)[0] 27.824002\n",
- "bs(df.age, df=6, degree=3, include_intercept=False)[1] 54.062546\n",
- "bs(df.age, df=6, degree=3, include_intercept=False)[2] 65.828391\n",
- "bs(df.age, df=6, degree=3, include_intercept=False)[3] 55.812734\n",
- "bs(df.age, df=6, degree=3, include_intercept=False)[4] 72.131473\n",
- "bs(df.age, df=6, degree=3, include_intercept=False)[5] 14.750876\n",
- "dtype: float64"
- ]
- },
- "execution_count": 30,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"# Specifying 6 degrees of freedom \n",
"transformed_x2 = dmatrix(\"bs(df.age, df=6, degree=3, include_intercept=False)\",\n",
@@ -1089,25 +469,9 @@
},
{
"cell_type": "code",
- "execution_count": 31,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "Intercept 79.642095\n",
- "cr(df.age, df=4)[0] -14.667784\n",
- "cr(df.age, df=4)[1] 36.811142\n",
- "cr(df.age, df=4)[2] 35.934874\n",
- "cr(df.age, df=4)[3] 21.563863\n",
- "dtype: float64"
- ]
- },
- "execution_count": 31,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"# Specifying 4 degrees of freedom\n",
"transformed_x3 = dmatrix(\"cr(df.age, df=4)\", {\"df.age\": df.age}, return_type='dataframe')\n",
@@ -1118,20 +482,9 @@
},
{
"cell_type": "code",
- "execution_count": 32,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"plt.scatter(df.age, df.wage, facecolor='None', edgecolor='k', alpha=0.3)\n",
"plt.plot(age_grid, pred4, color='b', label='Specifying three knots')\n",
@@ -1144,6 +497,173 @@
"plt.xlabel('age')\n",
"plt.ylabel('wage');"
]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## 7.6 Local Regression\n",
+ "\n",
+ "### Python implementation using Numpy: bell shaped weighting function\n",
+ "Based on code provided by Alexandre Gramfort, SKlearn developper\n",
+ "https://gist.github.com/agramfort/850437"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from math import ceil\n",
+ "import numpy as np\n",
+ "from scipy import linalg\n",
+ "\n",
+ "#Defining the bell shaped kernel function - used for plotting later on\n",
+ "def kernel_function(xi,x0,tau= .005): \n",
+ " return np.exp( - (xi - x0)**2/(2*tau) )\n",
+ "\n",
+ "def lowess_bell_shape_kern(x, y, tau = .005):\n",
+ " \"\"\"lowess_bell_shape_kern(x, y, tau = .005) -> yest\n",
+ " Locally weighted regression: fits a nonparametric regression curve to a scatterplot.\n",
+ " The arrays x and y contain an equal number of elements; each pair\n",
+ " (x[i], y[i]) defines a data point in the scatterplot. The function returns\n",
+ " the estimated (smooth) values of y.\n",
+ " The kernel function is the bell shaped function with parameter tau. Larger tau will result in a\n",
+ " smoother curve. \n",
+ " \"\"\"\n",
+ " m = len(x)\n",
+ " yest = np.zeros(m)\n",
+ "\n",
+ " #Initializing all weights from the bell shape kernel function \n",
+ " w = np.array([np.exp(- (x - x[i])**2/(2*tau)) for i in range(m)]) \n",
+ " \n",
+ " #Looping through all x-points\n",
+ " for i in range(m):\n",
+ " weights = w[:, i]\n",
+ " b = np.array([np.sum(weights * y), np.sum(weights * y * x)])\n",
+ " A = np.array([[np.sum(weights), np.sum(weights * x)],\n",
+ " [np.sum(weights * x), np.sum(weights * x * x)]])\n",
+ " theta = linalg.solve(A, b)\n",
+ " yest[i] = theta[0] + theta[1] * x[i] \n",
+ "\n",
+ " return yest"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Alternative implementations using Statsmodel "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import statsmodels.api as sm\n",
+ "lowess_sm = sm.nonparametric.lowess"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Fig 7.9 - Local regression on a noisy sine curve "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#Initializing noisy non linear data\n",
+ "x = np.linspace(0,1,100)\n",
+ "noise = np.random.normal(loc = 0, scale = .25, size = 100)\n",
+ "y = np.sin(x * 1.5 * np.pi ) \n",
+ "y_noise = y + noise\n",
+ "yest_bell = lowess_bell_shape_kern(x,y)\n",
+ "yest_sm = lowess_sm(y,x,frac=1./3.,it=3, return_sorted = False)\n",
+ "\n",
+ "#Plotting the noisy data and the kernell at around x = 0.2\n",
+ "plt.figure(figsize=(10,6))\n",
+ "plt.plot(x,y,color = 'darkblue', label = 'f(x)')\n",
+ "plt.scatter(x,y_noise, facecolors = 'none', edgecolor = 'darkblue', label = 'f(x) + noise')\n",
+ "plt.fill(x[:40],kernel_function(x[:40],0.2,.005), color = 'lime', alpha = .5, label = 'Kernel')\n",
+ "\n",
+ "#Plot the Numpy and Statsmodel implementations\n",
+ "plt.plot(x,yest_bell,color = 'red', label = 'Loess: bell shape kernel')\n",
+ "plt.plot(x,yest_sm,color = 'magenta', label = 'Loess: statsmodel')\n",
+ "\n",
+ "plt.legend()\n",
+ "plt.title('Noisy sine function and bell shaped weighting function at x=.2')\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Deriving the vectorized implementation\n",
+ "\n",
+ "Consider the 1D case where $\\Theta = [\\theta_0, \\theta_1]$ and $x$ and $y$ are vectors of size $m$. The cost function $J(\\theta)$ is a weighted version of the OLS regression, where the weights $w$ are defined by some kernel function\n",
+ "\n",
+ "\n",
+ "\\begin{aligned}\n",
+ "\tJ(\\theta) &= \\sum_{i=1}^m w^{(i)} \\left( y^{(i)} - (\\theta_0 + \\theta_1 x^{(i)}) \\right)^2\n",
+ "\t\\\\\n",
+ "\t\\frac{\\partial J}{\\partial \\theta_0} &= -2 \\sum_{i=1}^m w^{(i)} \\left( y^{(i)} - (\\theta_0 + \\theta_1 x^{(i)}) \\right) \n",
+ "\t\\\\\n",
+ "\t\\frac{\\partial J}{\\partial \\theta_1} &= -2 \\sum_{i=1}^m w^{(i)} \\left( y^{(i)} - (\\theta_0 + \\theta_1 x^{(i)}) \\right) x^{(i)} \n",
+ "\\end{aligned}\n",
+ " \n",
+ "\n",
+ "Cancelling the $-2$ terms, equating to zero, expanding and re-arranging the terms: \n",
+ "\\begin{aligned}\n",
+ "\t& \\frac{\\partial J}{\\partial \\theta_0} = \\sum_{i=1}^m w^{(i)} \\left( y^{(i)} - (\\theta_0 + \\theta_1 x^{(i)}) \\right) = 0\n",
+ "\t\\\\\n",
+ "\t& \\sum_{i=1}^m w^{(i)} \\theta_0 + \\sum_{i=1}^m w^{(i)} \\theta_1 x^{(i)} = \\sum_{i=1}^m w^{(i)} y^{(i)} &\\text{Eq. (1)}\n",
+ "\t\\\\\n",
+ "\t\\\\\n",
+ "\t& \\frac{\\partial J}{\\partial \\theta_1} = \\sum_{i=1}^m w^{(i)} \\left( y^{(i)} - (\\theta_0 + \\theta_1 x^{(i)}) \\right) x^{(i)} = 0 \n",
+ "\t\\\\\n",
+ "\t& \\sum_{i=1}^m w^{(i)} \\theta_0 + \\sum_{i=1}^m w^{(i)} \\theta_1 x^{(i)} x^{(i)} = \\sum_{i=1}^m w^{(i)} y^{(i)} x^{(i)} &\\text{Eq. (2)}\n",
+ "\\end{aligned}\n",
+ " \n",
+ "Writing Eq. (1) and Eq. (2) in matrix form $\\mathbf{A \\Theta = b}$ allows us to solve for $\\Theta$\n",
+ "\\begin{aligned}\n",
+ "\t& \\sum_{i=1}^m w^{(i)} \\theta_0 + \\sum_{i=1}^m w^{(i)} \\theta_1 x^{(i)} = \\sum_{i=1}^m w^{(i)} y^{(i)} \n",
+ "\t\\\\\n",
+ "\t& \\sum_{i=1}^m w^{(i)} \\theta_0 + \\sum_{i=1}^m w^{(i)} \\theta_1 x^{(i)} x^{(i)} = \\sum_{i=1}^m w^{(i)} y^{(i)} x^{(i)}\n",
+ "\t\\\\\n",
+ "\t& \\begin{bmatrix} \\sum w^{(i)} & \\sum w^{(i)} x^{(i)} \\\\ \\sum w^{(i)} x^{(i)} & \\sum w^{(i)} x^{(i)} x^{(i)} \\end{bmatrix} \\begin{bmatrix} \\theta_0 \\\\ \\theta_1 \\end{bmatrix} = \\begin{bmatrix} \\sum w^{(i)} y^{(i)} \\\\ \\sum w^{(i)} y^{(i)} x^{(i)} \\end{bmatrix} \n",
+ "\t\\\\\n",
+ "\t& \\mathbf{A} \\Theta = \\mathbf{b}\n",
+ "\t\\\\\n",
+ "\t& \\Theta = \\mathbf{A}^{-1} \\mathbf{b}\n",
+ "\\end{aligned}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
}
],
"metadata": {
@@ -1162,7 +682,20 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.6.5"
+ "version": "3.6.4"
+ },
+ "toc": {
+ "base_numbering": 1,
+ "nav_menu": {},
+ "number_sections": true,
+ "sideBar": false,
+ "skip_h1_title": false,
+ "title_cell": "Table of Contents",
+ "title_sidebar": "Contents",
+ "toc_cell": false,
+ "toc_position": {},
+ "toc_section_display": true,
+ "toc_window_display": false
}
},
"nbformat": 4,