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@arogozhnikov
Created July 15, 2015 10:57
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scheme of ROC explanation in ipython
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from scipy.stats import norm"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Эти 4 параметра надо уметь менять.\n",
"distribution0 = norm(loc=-1, scale=1)\n",
"distribution1 = norm(loc=1, scale=1.2)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x107b5f490>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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M7CYzu6ngsP8LDDCzRcAHwJ1Fi6Rk9vj8x/l4/cc8NfYpFUkikrQ0oiTR9/rr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\nd90Fp54KrVvHTpIKlZXhTeE3vxk7SYnq1y/8El58MXYSyTj7bJg+Hd5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kXHghnHJK2Ay6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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x107b2c910>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = numpy.linspace(-4, 4, num=1000)\n",
"\n",
"figure(figsize=[14, 8])\n",
"subplot(121)\n",
"plot(x, distribution0.pdf(x), color='r', label='bck')\n",
"plot(x, distribution1.pdf(x), color='b', label='sig')\n",
"ylabel('distributions')\n",
"xlabel('x')\n",
"\n",
"subplot(122)\n",
"plot(1 - distribution0.cdf(x), 1- distribution1.cdf(x), color='g')\n",
"xlabel('FPR = false positive rate')\n",
"ylabel('TPR = true positive rate')"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# интерактивно надо уметь двигать этот параметр\n",
"threshold = -0.5"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x107e440d0>]"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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FJBYqep0Ks1DKBFYBVwBbgDnACOdciZOAzewFYJxz7s1oj9UFKM2NGQP33AOXXw633w7V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\niIiIiIiU8/8xclPzT55HQQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x107b82190>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figure(figsize=[14, 8])\n",
"subplot(121)\n",
"\n",
"plot(x, distribution0.pdf(x), color='r', label='bck')\n",
"plot(x, distribution1.pdf(x), color='b', label='sig')\n",
"\n",
"x_left = x[x < threshold]\n",
"fill_between(x_left, distribution0.pdf(x_left), alpha=0.3, color='r')\n",
"fill_between(x_left, distribution1.pdf(x_left), alpha=0.3, color='b')\n",
"# линейка, указывающая threshold\n",
"plot([threshold, threshold], [0, ylim()[1]])\n",
"ylabel('distributions')\n",
"xlabel('x')\n",
"\n",
"\n",
"subplot(122)\n",
"plot(1 - distribution0.cdf(x), 1- distribution1.cdf(x), color='g')\n",
"\n",
"xlabel('FPR = false positive rate')\n",
"ylabel('TPR = true positive rate')\n",
"# рисуем соответствующую порогу точку\n",
"plot([1 - distribution0.cdf(threshold)], [1- distribution1.cdf(threshold)], marker='o', )"
]
},
{
"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": "2.7.5"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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