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@mjbommar
Last active August 29, 2015 14:02
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{
"metadata": {
"name": "",
"signature": "sha256:90e1e01b649b8ad373cf35b6833369cb1be5ca072125a0bf2c07b3c48d51203d"
},
"nbformat": 3,
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"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# IPython Notebook for [Bommarito Consulting](http://bommaritollc.com/) Blog Post\n",
"\n",
"**Link**: [Isotonic regressions in scikit-learn](http://bommaritollc.com/2014/06/isotonic-regressions-in-scikit-learn): http://bommaritollc.com/2014/06/isotonic-regressions-in-scikit-learn\n",
"\n",
"**Author**: [Michael J. Bommarito II](https://www.linkedin.com/in/bommarito/)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Imports\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import scipy as sp\n",
"import scipy.interpolate\n",
"import pandas as pd\n",
"\n",
"# scikit\n",
"import sklearn\n",
"import sklearn.ensemble\n",
"import sklearn.metrics\n",
"import sklearn.utils\n",
"import sklearn.cross_validation\n",
"import sklearn.isotonic\n",
"\n",
"plt.ion()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 26
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Simulate some true and observed data\n",
"offset = 33\n",
"slope1 = 10\n",
"slope2 = 2\n",
"points = 1000\n",
"x = np.linspace(0, 100, points)\n",
"y_true = 100 - ((x < offset) * x * slope1 + (x >= offset) * ((x-offset) * slope2 + (offset * slope1)))\n",
"y_observed = y_true + (0.5 - np.random.random(y_true.shape)) * np.sin(100-x) * (100-x) * 2"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"plt.figure(figsize=(10, 8))\n",
"plt.title('Isotonic Example')\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.scatter(x, y_true, alpha=0.5, color='blue')\n",
"plt.scatter(x, y_observed, alpha=0.5, color='red')\n",
"plt.legend(('True', 'Observed'))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 8,
"text": [
"<matplotlib.legend.Legend at 0x51ee710>"
]
},
{
"metadata": {},
"output_type": "display_data",
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ahTYNcXPmzOGmm27i2LFj9O3bl9dff53Fixfz4YcfMnjwYD766CMWL14MQGRk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\ng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Px8APLz82lqakrx6Eanb33rWzz77LPx/5ABmrsBqq2tZcKECTzwwANcd911fP3rXycQ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\nxImIiIikof8HPspQL3kBoTEAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x52c30d0>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Fit isotonic\n",
"ir = sklearn.isotonic.IsotonicRegression(increasing='auto')\n",
"ir.fit(x, y_observed)\n",
"y_ir = ir.predict(x)\n",
"\n",
"# Fit a spline with FITPACK\n",
"fitpack_spline = sp.interpolate.UnivariateSpline(x, y_observed)\n",
"y_fitpack = fitpack_spline(x)\n",
"\n",
"%matplotlib inline\n",
"plt.figure(figsize=(10, 8))\n",
"plt.title('Isotonic Example')\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.scatter(x, y_true, alpha=0.5, color='blue')\n",
"plt.scatter(x, y_observed, alpha=0.1, color='red')\n",
"plt.scatter(x, y_fitpack, alpha=0.25, color='purple')\n",
"plt.scatter(x, y_ir, alpha=0.5, color='green')\n",
"plt.legend(('True', 'Observed', 'FITPACK', 'Isotonic'))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 56,
"text": [
"<matplotlib.legend.Legend at 0xea5ea90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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xpMWmkRWXRWNTI+uL1h/9jQd58asXqWqoIjsuGPRe+foVimuL290Ws9lMQUEB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eb6jtGavQW1PM/DD6qASiQyTftt/fzKOyLkjoyRO1c4v9dQeIU1V6Qzxq4P3EZ9ulH3d+Pv97BY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\nQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0xa16b110>"
]
}
],
"prompt_number": 56
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Plot the final function z\n",
"\n",
"# Sample new X and Y data\n",
"x_new = np.random.randint(0, 100, points)\n",
"y_true_new = 100 - ((x_new < offset) * x_new * slope1 + (x_new >= offset) * ((x_new-offset) * slope2 + (offset * slope1)))\n",
"y_observed_new = y_true_new + (0.5 - np.random.random(y_true_new.shape)) * np.sin(100-x_new) * (100-x_new) * 2\n",
"y_ir_new = ir.predict(x_new)\n",
"y_fitpack_new = fitpack_spline(x_new)\n",
"\n",
"# Plot resulting true and estimated\n",
"plt.figure(figsize=(10,8))\n",
"plt.title('Function with isotonic smoothing')\n",
"plt.xlabel('y')\n",
"plt.ylabel('z')\n",
"plt.scatter(x_new, -2 * y_true_new**3 + y_true_new**2 + y_true_new * 3.5 + 9, alpha=0.5, color='blue')\n",
"plt.scatter(x_new, -2 * y_observed_new**3 + y_observed_new**2 + y_observed_new * 3.5 + 9, alpha=0.1, color='red')\n",
"plt.scatter(x_new, -2 * y_fitpack_new**3 + y_fitpack_new**2 + y_fitpack_new * 3.5 + 9, alpha=0.2, color='purple')\n",
"plt.scatter(x_new, -2 * y_ir_new**3 + y_ir_new**2 + y_ir_new * 3.5 + 9, alpha=0.5, color='green')\n",
"plt.legend(('True', 'Observed', 'FITPACK', 'Isotonic'))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 57,
"text": [
"<matplotlib.legend.Legend at 0xf014cd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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3Sy65hC+//JLc3FxSUlJYsGABpaVm3bRrrrmGiRMn8tFHH9GnTx/CwsJ44YUX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\nHl5XMVdbcbEZLOGekqQ5RuHKUaexuUV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32amPleOldTn4Mk8zJbUFgIUXJrH06ZsCnsfr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"text": [
"<matplotlib.figure.Figure at 0xed2b150>"
]
}
],
"prompt_number": 57
}
],
"metadata": {}
}
]
}
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