Created
July 1, 2017 05:19
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Huber Loss: less sensitivity to outliers (https://en.wikipedia.org/wiki/Huber_loss)
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"\n", | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def huber_loss(y_true, y_pred, delta=1.):\n", | |
" \"\"\"\n", | |
" https://en.wikipedia.org/wiki/Huber_loss\n", | |
" \"In statistics, the Huber loss is a loss function used in robust regression, that is less sensitive to outliers in data \n", | |
" than the squared error loss.\"\n", | |
" \"\"\"\n", | |
" abs_diff = abs(y_true-y_pred)\n", | |
" flag = abs_diff < delta\n", | |
" return (flag) * 0.5 * (abs_diff ** 2) + (~flag) * delta * (abs_diff - 0.5 * delta)\n", | |
"\n", | |
"def squared_loss(y_true, y_pred):\n", | |
" \n", | |
" return (y_true-y_pred)**2" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"y_pred = np.arange(-10,11,.1)\n", | |
"y_true = [0] * len(y_pred)\n", | |
"huber_loss_fn = lambda delta: [huber_loss(y_true[i], y_pred[i], delta) for i in range(len(y_true))]\n", | |
"sqaured_loss_fn = [squared_loss(y_true[i], y_pred[i]) for i in range(len(y_true))]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x1041c2410>" | |
] | |
}, | |
"execution_count": 5, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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OliQdOnRI9evXv2GukSNHasiQIXJ3d5e7u7vatm0rSXJxcSlT/uHDh8vT01M+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\nGaxYsYIvf/nLI7YAbVdDCxufepVtGzvD2WBWgNL0e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5Ga5Rvy0UPLttjTsofKuko27lqH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\nowAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1041c2590>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=(18,12))\n", | |
"for delta in [0.1, 1., 2., 5., 10.]:\n", | |
" plt.plot(y_pred, huber_loss_fn(delta), label='Huber Loss, delta={}'.format(delta))\n", | |
"plt.plot(y_pred, sqaured_loss_fn, c='k', label=\"Squared Error\")\n", | |
"plt.xlabel(\"Prediction\")\n", | |
"plt.ylabel(\"Loss\")\n", | |
"plt.legend()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "python2-oms_rl", | |
"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": "2.7.3" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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