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@AustinRochford
Last active February 3, 2016 21:49
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from __future__ import division"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from matplotlib import pyplot as plt\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"import numpy as np\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"import scipy as sp\n",
"from statsmodels import api as sm"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from rpy2.robjects import pandas2ri, r\n",
"pandas2ri.activate()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We are trying to follow [Wood, _Generalized Additive Models_](http://www.amazon.com/gp/product/1584884746/ref=pd_lpo_sbs_dp_ss_1?pf_rd_p=1944687702&pf_rd_s=lpo-top-stripe-1&pf_rd_t=201&pf_rd_i=0412343908&pf_rd_m=ATVPDKIKX0DER&pf_rd_r=005A9YGQJ97J6464F10E), Chapter 3 in Python to build our own additive model."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Engine Wear"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"The downloaded source packages are in\n",
"\t‘/tmp/RtmpO2Xdeg/downloaded_packages’\n"
]
}
],
"source": [
"import warnings\n",
"warnings.filterwarnings('ignore')\n",
"!mkdir -p /tmp/Rpackages\n",
"r('install.packages(\"gamair\", lib=\"/tmp/Rpackages/\", repos=\"http://cran.us.r-project.org\")');\n",
"warnings.filterwarnings('default')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"r('library(gamair, lib=\"/tmp/Rpackages/\")');\n",
"r.data('engine');\n",
"engine_df = pandas2ri.ri2py(r['engine'])"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def scale(x):\n",
" return (x - x.min()) / np.ptp(x)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"engine_df['scaled_size'] = scale(engine_df['size'])"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>size</th>\n",
" <th>wear</th>\n",
" <th>scaled_size</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>2.78</td>\n",
" <td>3.0</td>\n",
" <td>0.871795</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>2.43</td>\n",
" <td>3.1</td>\n",
" <td>0.647436</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>2.32</td>\n",
" <td>4.8</td>\n",
" <td>0.576923</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>2.43</td>\n",
" <td>3.3</td>\n",
" <td>0.647436</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>2.98</td>\n",
" <td>2.8</td>\n",
" <td>1.000000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" size wear scaled_size\n",
"0 2.78 3.0 0.871795\n",
"1 2.43 3.1 0.647436\n",
"2 2.32 4.8 0.576923\n",
"3 2.43 3.3 0.647436\n",
"4 2.98 2.8 1.000000"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"engine_df.head()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
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EmHZG3NfXp5deekmRSGTsWvGTTz6ppqYmSVJ9fb2qq6vl9/tVU1Mjl8ulgwcPpqRwAJmB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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff40bd50210>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"\n",
"blue = sns.color_palette()[0]\n",
"ax.scatter(engine_df['scaled_size'], engine_df.wear, color=blue, alpha=0.5);\n",
"\n",
"ax.set_xlim(-0.05, 1.05);\n",
"ax.set_ylim(1.5, 5);"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"n = engine_df.shape[0]"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def R(x, z):\n",
" return ((z - 0.5)**2 - 1 / 12) * ((x - 0.5)**2 - 1 / 12) / 4 - ((np.abs(x - z) - 0.5)**4 - 0.5 * (np.abs(x - z) - 0.5)**2 + 7 / 240) / 24\n",
"\n",
"R = np.frompyfunc(R, 2, 1)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def univariate_design_matrix(x, knots, intercept=True):\n",
" n = x.shape[0]\n",
" \n",
" if intercept:\n",
" q = knots.size + 2\n",
" else:\n",
" q = knots.size + 1\n",
" \n",
" X = np.empty((n, q))\n",
" \n",
" if intercept:\n",
" X[:, 0] = 1\n",
" X[:, 1] = x\n",
" X[:, 2:] = R.outer(x, knots)\n",
" else:\n",
" X[:, 0] = x\n",
" X[:, 1:] = R.outer(x, knots)\n",
" \n",
" return X"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def design_matrix(x, knots):\n",
" if x.ndim == 1:\n",
" x = np.row_stack(x)\n",
" knots = np.row_stack(knots)\n",
" \n",
" return np.hstack(univariate_design_matrix(x[:, i], knots[:, i], intercept=(i == 0)) for i in xrange(x.shape[1]))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def univariate_penalty_matrix(knots, intercept=True):\n",
" if intercept:\n",
" q = knots.size + 2\n",
" else:\n",
" q = knots.size + 1\n",
" \n",
" S = np.zeros((q, q))\n",
" \n",
" if intercept:\n",
" S[2:, 2:] = R.outer(knots, knots)\n",
" else:\n",
" S[1:, 1:] = R.outer(knots, knots)\n",
" \n",
" return S"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def penalty_matrix(knots, lambda_=None):\n",
" if knots.ndim == 1:\n",
" knots = np.row_stack(knots)\n",
" \n",
" if lambda_ is None:\n",
" lambda_ = np.ones(knots.shape[1])\n",
" \n",
" return sp.linalg.block_diag(*[lambda_[i] * univariate_penalty_matrix(knots[:, i], intercept=(i == 0)) for i in xrange(knots.shape[1])])"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def matrix_sqrt(m):\n",
" e, V = np.linalg.eig(m)\n",
" e = np.maximum(e, 0)\n",
" \n",
" return np.dot(V, np.dot(np.diag(np.sqrt(e)), V.T))"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def fit(y, x, knots, lambda_=None):\n",
" if lambda_ is None:\n",
" lambda_ = np.ones(knots.shape[1])\n",
" else:\n",
" lambda_ = np.atleast_1d(lambda_)\n",
"\n",
" X = design_matrix(x, knots)\n",
" S = penalty_matrix(knots, lambda_=lambda_)\n",
" \n",
" y_ = np.hstack((y, np.zeros(S.shape[0]))).T\n",
" \n",
" B = matrix_sqrt(S)\n",
" X_ = np.vstack((X, B))\n",
" \n",
" return sm.OLS(y_, X_).fit()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def predict(x, knots, model, link=None):\n",
" X = design_matrix(x, knots)\n",
" \n",
" if link is None:\n",
" return model.predict(X)\n",
" else:\n",
" return link(model.predict(X))"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"lambdas = [10**-2, 10**-4, 10**-6]"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"q = 10\n",
"qs = np.linspace(0, 1, q - 2)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"engine_y = engine_df.wear.values\n",
"engine_x = engine_df.scaled_size.values\n",
"engine_knots = engine_df.scaled_size.quantile(qs).values"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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Le4crMTpIyzYV6JXFe5i/AwCAj7IYhu6b3Fs2q0VzPzmghqZWsyMBANBl2awW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"text/plain": [
"<matplotlib.figure.Figure at 0x7ff4065b5510>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(ncols=3, sharex=True, sharey=True, figsize=(24, 6))\n",
"\n",
"plot_sizes = np.linspace(0, 1, 1000)\n",
"\n",
"for lambda_, ax in zip(lambdas, axes):\n",
" model = fit(engine_y, engine_x, engine_knots, lambda_=lambda_)\n",
" ax.scatter(engine_x, engine_y, color=blue, alpha=0.5);\n",
" ax.plot(plot_sizes, predict(plot_sizes, engine_knots, model));\n",
"\n",
" ax.set_xlim(-0.05, 1.05);\n",
" ax.set_xlabel('Scaled capacity');\n",
" \n",
" ax.set_ylim(1.5, 5);\n",
" ax.set_ylabel('Wear');\n",
" \n",
" ax.set_title('$\\lambda = {}$'.format(lambda_));"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def gcv_score(y, x, knots, lambda_=None):\n",
" if lambda_ is None:\n",
" lambda_ = np.ones(knots.shape[1])\n",
" else:\n",
" lambda_ = np.atleast_1d(lambda_)\n",
"\n",
" model = fit(y, x, knots, lambda_=lambda_)\n",
" y_hat = predict(x, knots, model)\n",
" \n",
" n = x.shape[0]\n",
" \n",
" X = design_matrix(x, knots)\n",
" hat_matrix_trace = model.get_influence().hat_matrix_diag[:n].sum()\n",
" \n",
" return n * np.power(y - y_hat, 2).sum() / np.power(n - hat_matrix_trace, 2)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"gcv_lambdas = np.power(1.5, np.linspace(0, 60, 100)) * 10**-8"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"gcv_scores = np.array([gcv_score(engine_y, engine_x, engine_knots, lambda_=lambda_) for lambda_ in gcv_lambdas])"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"lambda_best = gcv_lambdas[gcv_scores.argmin()]"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.0021681971002683468"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lambda_best"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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gVMg67pUKGVQKGVRKOVQKGdRKOVQaFcxtVigVMgiCIPEaIiIiIiIick0uV3BPXzRBFKVO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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff4065b5dd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, (gcv_ax, plot_ax) = plt.subplots(ncols=2, figsize=(16, 6))\n",
"\n",
"gcv_ax.plot(gcv_lambdas, gcv_scores);\n",
"\n",
"gcv_ax.set_xscale('log');\n",
"gcv_ax.set_xlabel('$\\lambda$');\n",
"\n",
"gcv_ax.set_ylabel('$V$');\n",
"\n",
"gcv_ax.set_title('GCV score');\n",
"\n",
"model = fit(engine_y, engine_x, engine_knots, lambda_=lambda_best)\n",
"plot_ax.scatter(engine_x, engine_y, color=blue, alpha=0.5);\n",
"plot_ax.plot(plot_sizes, predict(plot_sizes, engine_knots, model));\n",
"\n",
"plot_ax.set_xlim(-0.05, 1.05);\n",
"plot_ax.set_xlabel('Scaled capacity');\n",
"\n",
"plot_ax.set_ylim(1.5, 5);\n",
"plot_ax.set_ylabel('Wear');\n",
"\n",
"plot_ax.set_title('GCV optimal fit');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Volume"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Additive model"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"tree_df = pd.read_csv('https://vincentarelbundock.github.io/Rdatasets/csv/datasets/trees.csv',\n",
" usecols=['Girth', 'Height', 'Volume'])"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"tree_df['scaled_girth'] = scale(tree_df.Girth)\n",
"tree_df['scaled_height'] = scale(tree_df.Height)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Girth</th>\n",
" <th>Height</th>\n",
" <th>Volume</th>\n",
" <th>scaled_girth</th>\n",
" <th>scaled_height</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>8.3</td>\n",
" <td>70</td>\n",
" <td>10.3</td>\n",
" <td>0.000000</td>\n",
" <td>0.291667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>8.6</td>\n",
" <td>65</td>\n",
" <td>10.3</td>\n",
" <td>0.024390</td>\n",
" <td>0.083333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>8.8</td>\n",
" <td>63</td>\n",
" <td>10.2</td>\n",
" <td>0.040650</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>10.5</td>\n",
" <td>72</td>\n",
" <td>16.4</td>\n",
" <td>0.178862</td>\n",
" <td>0.375000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>10.7</td>\n",
" <td>81</td>\n",
" <td>18.8</td>\n",
" <td>0.195122</td>\n",
" <td>0.750000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Girth Height Volume scaled_girth scaled_height\n",
"0 8.3 70 10.3 0.000000 0.291667\n",
"1 8.6 65 10.3 0.024390 0.083333\n",
"2 8.8 63 10.2 0.040650 0.000000\n",
"3 10.5 72 16.4 0.178862 0.375000\n",
"4 10.7 81 18.8 0.195122 0.750000"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tree_df.head()"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"tree_x = tree_df[['scaled_girth', 'scaled_height']].values\n",
"tree_knots = tree_df[['scaled_girth', 'scaled_height']].quantile(qs, axis=0).values"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"girth_lambdas = np.power(2., np.arange(30)) * 1e-5\n",
"height_lambdas = np.power(2., np.arange(30)) * 1e-5"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"tree_gcv_scores = np.zeros((30, 30))"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"tree_y = tree_df.Volume.values"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"for i in xrange(30):\n",
" for j in xrange(30):\n",
" lambda_ = np.array([girth_lambdas[i], height_lambdas[j]])\n",
" tree_gcv_scores[i, j] = gcv_score(tree_y, tree_x, tree_knots, lambda_=lambda_)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"tree_gcv_row_min_col_ix = tree_gcv_scores.argmin(axis=1)\n",
"girth_lambda_ix = tree_gcv_scores[np.arange(30), tree_gcv_row_min_col_ix].argmin()\n",
"height_lambda_ix = tree_gcv_row_min_col_ix[girth_lambda_ix]\n",
"\n",
"tree_lambda = np.array([girth_lambdas[girth_lambda_ix], height_lambdas[height_lambda_ix]])"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 1.02400000e-02, 2.68435456e+03])"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tree_lambda"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
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k9UM6bgpFUueRvmREwUxaJHjs/ZHSSURNqAKuRPGabSJ6bXNMxbpocohPMIVL9g1Flg3I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\nQCAQdIH/B3hKcIIr6+ANAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff405fdee10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(8, 6))\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"\n",
"xv, yv = np.meshgrid(np.arange(30), np.arange(30))\n",
"\n",
"ax.plot_wireframe(xv, yv, tree_gcv_scores, color='k', lw=0.5);\n",
"\n",
"ax.set_xticklabels([r'$2^{' + str(int(tick)) + r'}$' for tick in ax.get_xticks()]);\n",
"ax.set_xlabel(r'$\\lambda_2 \\times 1e-5$');\n",
"\n",
"ax.set_yticklabels([r'$2^{' + str(int(tick)) + r'}$' for tick in ax.get_yticks()]);\n",
"ax.set_ylabel(r'$\\lambda_1 \\times 1e-5$');\n",
"\n",
"ax.set_zlabel('GCV score');"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"model = fit(tree_y, tree_x, tree_knots, lambda_=tree_lambda)"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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M9nGfOHECubm52LFjB/r06QOlUom//OUv1qiNiGxc81HjISEDodPphC6JSPRM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\nRHaEwU1ERGRHGNxERER2hMFNRERkR/4/WiePABkZuYUAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff40bd1ce90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"\n",
"ax.scatter(tree_y, predict(tree_x, tree_knots, model), color=blue, alpha=0.5);\n",
"\n",
"v_min, v_max = tree_df.Volume.min(), tree_df.Volume.max()\n",
"MARGIN = 5\n",
"\n",
"ax.plot((v_min - MARGIN, v_max + MARGIN), (v_min - MARGIN, v_max + MARGIN), '--',\n",
" c='k', label='Perfect agreement');\n",
"\n",
"ax.set_xlim(v_min - MARGIN, v_max + MARGIN);\n",
"ax.set_xlabel('Actual volume');\n",
"\n",
"ax.set_ylim(v_min - MARGIN, v_max + MARGIN);\n",
"ax.set_ylabel('Predicted volume');\n",
"\n",
"ax.legend(loc=2);"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def predict_component_function(x, icol, knots, model):\n",
" X = design_matrix(x, knots)\n",
" \n",
" q = knots.shape[0] + 2\n",
" first_col = min(1, icol) * q + max(0, icol - 1) * (q - 1)\n",
" last_col = first_col + q - min(1, icol)\n",
" \n",
" X_ = np.zeros_like(X)\n",
" X_[:, first_col:last_col] = X[:, first_col:last_col]\n",
" \n",
" return model.predict(X_)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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hlDaA6EKZw9FaW5uVkpqp4XljWNgGIGpR5ghL/q4uVeyulSQVTchSrPvSH9W8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\nmQMA4HCUOQAADkeZAwDgcJQ5AAAO9/8DGJeqimNQRlEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff405f4f790>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"\n",
"tree_plot_x = np.column_stack((np.linspace(0, 1, 100), np.linspace(0, 1, 100)))\n",
"ax.plot(tree_plot_x[:, 0], predict_component_function(tree_plot_x, 0, tree_knots, model),\n",
" '--', c='k', alpha=0.5, lw=0.5);\n",
"\n",
"ax.scatter(tree_x[:, 0], predict_component_function(tree_x, 0, tree_knots, model),\n",
" color=blue, alpha=0.5);\n",
"\n",
"v_min, v_max = tree_df.Volume.min(), tree_df.Volume.max()\n",
"\n",
"ax.set_xlim(-0.05, 1.05);\n",
"ax.set_xlabel('Scaled girth');\n",
"\n",
"ax.set_ylim(bottom=0);\n",
"ax.set_ylabel('$f_1$');"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Hq1VRsVfGGKujAABsgiJ3gK6uLm3btkUDBgzQnDmsSgcA/A3XyG2usbFBBw7s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\nAAejyAEAcDCKHAAAB/v/JNPrVGWodaQAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff40467ed50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"\n",
"tree_plot_x = np.column_stack((np.linspace(0, 1, 100), np.linspace(0, 1, 100)))\n",
"ax.plot(tree_plot_x[:, 1], predict_component_function(tree_plot_x, 1, tree_knots, model),\n",
" '--', c='k', alpha=0.5, lw=0.5);\n",
"\n",
"ax.scatter(tree_x[:, 1], predict_component_function(tree_x, 1, tree_knots, model),\n",
" color=blue, alpha=0.5);\n",
"\n",
"v_min, v_max = tree_df.Volume.min(), tree_df.Volume.max()\n",
"\n",
"ax.set_xlim(-0.05, 1.05);\n",
"ax.set_xlabel('Scaled girth');\n",
"\n",
"ax.set_ylim(bottom=-0.25);\n",
"ax.set_ylabel('$f_1$');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Generalized additive model\n",
"\n",
"The model is \n",
"\n",
"$$\\log(\\mathbb{E}(\\textrm{Volume})) = f_1(\\textrm{Girth}) + f_2(\\textrm{Height}),$$\n",
"\n",
"where volume is gamma distributed"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def penalized_irls_step(y, X, B, knots, model=None): \n",
" n = y.size\n",
" \n",
" # model is None for the first step\n",
" if model is None:\n",
" eta = np.log(y)\n",
" else:\n",
" eta = model.predict(X)\n",
"\n",
" mu = np.exp(eta)\n",
" \n",
" X_ = np.vstack((X, B))\n",
" \n",
" z = (y - mu) / mu + eta\n",
" z_ = np.hstack((z, np.zeros(B.shape[0]))).T\n",
" \n",
" new_model = sm.OLS(z_, X_).fit()\n",
" rss = np.power(z - new_model.predict(X), 2).sum()\n",
" gcv_score = rss / np.power(n - new_model.get_influence().hat_matrix_diag[:n].sum(), 2)\n",
" \n",
" return rss, gcv_score, new_model"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def fit_gam(y, x, knots, lambda_=None, rtol=1e-4):\n",
" X = design_matrix(x, knots)\n",
" S = penalty_matrix(knots, lambda_=lambda_)\n",
" B = matrix_sqrt(S) \n",
" \n",
" model = None\n",
" old_rss, rss = 0, 1\n",
"\n",
" while np.abs(rss - old_rss) > rtol * old_rss:\n",
" old_rss = rss\n",
" \n",
" rss, gcv_score, model = penalized_irls_step(y, X, B, knots, model=model)\n",
"\n",
" return gcv_score, model"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"tree_gam_gcv_scores = np.empty((30, 30))"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"i = 0\n",
"i = 5\n",
"i = 10\n",
"i = 15\n",
"i = 20\n",
"i = 25\n"
]
}
],
"source": [
"for i in xrange(30):\n",
" for j in xrange(30):\n",
" if j == 0 and i % 5 == 0:\n",
" print 'i = {}'.format(i)\n",
"\n",
" lambda_ = np.array([girth_lambdas[i], height_lambdas[j]])\n",
" tree_gam_gcv_scores[i, j], _ = fit_gam(tree_y, tree_x, tree_knots, lambda_=lambda_)"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"tree_gam_gcv_row_min_col_ix = tree_gam_gcv_scores.argmin(axis=1)\n",
"gam_girth_lambda_ix = tree_gam_gcv_scores[np.arange(30), tree_gam_gcv_row_min_col_ix].argmin()\n",
"gam_height_lambda_ix = tree_gam_gcv_row_min_col_ix[gam_girth_lambda_ix]\n",
"\n",
"tree_gam_lambda = np.array([girth_lambdas[gam_girth_lambda_ix], height_lambdas[gam_height_lambda_ix]])"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 1.02400000e-02, 2.68435456e+03])"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tree_gam_lambda"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
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B+YiNjaNq1WrMnDmfTZt28OmnnxMZGa7YNiwsDH//3NbPfn65CQsLIzw8jNy5bcv9/f0J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\nbI8KIVuyQgghRL/IClMIIYToh/8DqjhHkY9ufCYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff4045645d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(8, 6))\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"\n",
"xv, yv = np.meshgrid(np.arange(30), np.arange(30))\n",
"\n",
"ax.plot_wireframe(xv, yv, tree_gam_gcv_scores, color='k', lw=0.5);\n",
"\n",
"ax.set_xticklabels([r'$2^{' + str(int(tick)) + r'}$' for tick in ax.get_xticks()]);\n",
"ax.set_xlabel(r'$\\lambda_2 \\times 1e-5$');\n",
"\n",
"ax.set_yticklabels([r'$2^{' + str(int(tick)) + r'}$' for tick in ax.get_yticks()]);\n",
"ax.set_ylabel(r'$\\lambda_1 \\times 1e-5$');\n",
"\n",
"ax.set_zlabel('GCV score');"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"_, model = fit_gam(tree_y, tree_x, tree_knots, lambda_=tree_gam_lambda)"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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TIiKyCI2mAGFhI3Dw4H6hSxEVBjcREZldWto2hIWNwOnTJ3H8eK7Q5YgK1yonIiKz0Wq1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\nIrIh/x/3/mPC3+CuegAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff4044f7fd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"\n",
"ax.scatter(tree_y, predict(tree_x, tree_knots, model, link=np.exp), color=blue, alpha=0.5);\n",
"\n",
"v_min, v_max = tree_df.Volume.min(), tree_df.Volume.max()\n",
"MARGIN = 5\n",
"\n",
"ax.plot((v_min - MARGIN, v_max + MARGIN), (v_min - MARGIN, v_max + MARGIN), '--',\n",
" c='k', label='Perfect agreement');\n",
"\n",
"ax.set_xlim(v_min - MARGIN, v_max + MARGIN);\n",
"ax.set_xlabel('Actual volume');\n",
"\n",
"ax.set_ylim(v_min - MARGIN, v_max + MARGIN);\n",
"ax.set_ylabel('Predicted volume');\n",
"\n",
"ax.legend(loc=2);"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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OJgEBqxHsAC6Zy+lUQV6G1WUA6IOv1wDO0vc2toBh6IsvPlddXa3VZQEIASN2AP30vY0t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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff404407910>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"\n",
"tree_plot_x = np.column_stack((np.linspace(0, 1, 100), np.linspace(0, 1, 100)))\n",
"ax.plot(tree_plot_x[:, 0], predict_component_function(tree_plot_x, 0, tree_knots, model),\n",
" '--', c='k', alpha=0.5, lw=0.5);\n",
"\n",
"ax.scatter(tree_x[:, 0], predict_component_function(tree_x, 0, tree_knots, model),\n",
" color=blue, alpha=0.5);\n",
"\n",
"v_min, v_max = tree_df.Volume.min(), tree_df.Volume.max()\n",
"\n",
"ax.set_xlim(-0.05, 1.05);\n",
"ax.set_xlabel('Scaled girth');\n",
"\n",
"ax.set_ylim(2, 4.05);\n",
"ax.set_ylabel('$f_1$');"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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9BAc/lgBCj98sgMUSHA7NnjDM6jIARDl2ywNM1NnZqQ8+eE8+n8/qUgDEGGb4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\n4P8DDw4GiGoTFf8AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff4042d47d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"\n",
"tree_plot_x = np.column_stack((np.linspace(0, 1, 100), np.linspace(0, 1, 100)))\n",
"ax.plot(tree_plot_x[:, 1], predict_component_function(tree_plot_x, 1, tree_knots, model),\n",
" '--', c='k', alpha=0.5, lw=0.5);\n",
"\n",
"ax.scatter(tree_x[:, 1], predict_component_function(tree_x, 1, tree_knots, model),\n",
" color=blue, alpha=0.5);\n",
"\n",
"v_min, v_max = tree_df.Volume.min(), tree_df.Volume.max()\n",
"\n",
"ax.set_xlim(-0.05, 1.05);\n",
"ax.set_xlabel('Scaled girth');\n",
"\n",
"ax.set_ylim(-0.01, 0.4);\n",
"ax.set_ylabel('$f_1$');"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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