{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
".. _digits_dataset:\n",
"\n",
"Optical recognition of handwritten digits dataset\n",
"--------------------------------------------------\n",
"\n",
"**Data Set Characteristics:**\n",
"\n",
" :Number of Instances: 1797\n",
" :Number of Attributes: 64\n",
" :Attribute Information: 8x8 image of integer pixels in the range 0..16.\n",
" :Missing Attribute Values: None\n",
" :Creator: E. Alpaydin (alpaydin '@' boun.edu.tr)\n",
" :Date: July; 1998\n",
"\n",
"This is a copy of the test set of the UCI ML hand-written digits datasets\n",
"https://archive.ics.uci.edu/ml/datasets/Optical+Recognition+of+Handwritten+Digits\n",
"\n",
"The data set contains images of hand-written digits: 10 classes where\n",
"each class refers to a digit.\n",
"\n",
"Preprocessing programs made available by NIST were used to extract\n",
"normalized bitmaps of handwritten digits from a preprinted form. From a\n",
"total of 43 people, 30 contributed to the training set and different 13\n",
"to the test set. 32x32 bitmaps are divided into nonoverlapping blocks of\n",
"4x4 and the number of on pixels are counted in each block. This generates\n",
"an input matrix of 8x8 where each element is an integer in the range\n",
"0..16. This reduces dimensionality and gives invariance to small\n",
"distortions.\n",
"\n",
"For info on NIST preprocessing routines, see M. D. Garris, J. L. Blue, G.\n",
"T. Candela, D. L. Dimmick, J. Geist, P. J. Grother, S. A. Janet, and C.\n",
"L. Wilson, NIST Form-Based Handprint Recognition System, NISTIR 5469,\n",
"1994.\n",
"\n",
".. topic:: References\n",
"\n",
" - C. Kaynak (1995) Methods of Combining Multiple Classifiers and Their\n",
" Applications to Handwritten Digit Recognition, MSc Thesis, Institute of\n",
" Graduate Studies in Science and Engineering, Bogazici University.\n",
" - E. Alpaydin, C. Kaynak (1998) Cascading Classifiers, Kybernetika.\n",
" - Ken Tang and Ponnuthurai N. Suganthan and Xi Yao and A. Kai Qin.\n",
" Linear dimensionalityreduction using relevance weighted LDA. School of\n",
" Electrical and Electronic Engineering Nanyang Technological University.\n",
" 2005.\n",
" - Claudio Gentile. A New Approximate Maximal Margin Classification\n",
" Algorithm. NIPS. 2000.\n",
"\n"
]
},
{
"data": {
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib import pyplot as pl\n",
"import numpy as np\n",
"pl.rcParams['figure.figsize'] = 10, 7.5\n",
"pl.rcParams['axes.grid'] = True\n",
"pl.gray()\n",
"from sklearn.datasets import load_digits\n",
"digits = load_digits()\n",
"print(digits.DESCR)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"data shape: (1797, 64), target shape: (1797,)\n",
"classes: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\n",
"n_samples=1797\n",
"n_features=64\n"
]
}
],
"source": [
"X, y = digits.data, digits.target\n",
"print(\"data shape: %r, target shape: %r\" % (X.shape, y.shape))\n",
"print(\"classes: %r\" % list(np.unique(y)))\n",
"n_samples, n_features = X.shape\n",
"print(\"n_samples=%d\" % n_samples)\n",
"print(\"n_features=%d\" % n_features)\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def plot_gallery(data, labels, shape, interpolation='nearest'):\n",
" for i in range(data.shape[0]):\n",
" pl.subplot(1, data.shape[0], (i + 1))\n",
" pl.imshow(data[i].reshape(shape), interpolation=interpolation)\n",
" pl.title(labels[i])\n",
" pl.xticks(()), pl.yticks(())"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"subsample = np.random.permutation(X.shape[0])[:5]\n",
"images = X[subsample]\n",
"labels = ['True class: %d' % l for l in y[subsample]]\n",
"plot_gallery(images, labels, shape=(8, 8))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# PCA as noise filtering\n",
"# PCA can also be used as a filtering approach for noisy data. The idea is this: any components with variance much \n",
"# larger than the effect of the noise should be relatively unaffected by the noise. So if you reconstruct the data \n",
"# using just the largest subset of principal components, you should be preferentially keeping the signal and \n",
"# throwing out the noise.\n",
"\n",
"# Let's see how this looks with the digits data. First we will plot several of the input noise-free data\n",
"def plot_digits(data):\n",
" fig, axes = pl.subplots(4, 10, figsize=(10, 4),\n",
" subplot_kw={'xticks':[], 'yticks':[]},\n",
" gridspec_kw=dict(hspace=0.1, wspace=0.1))\n",
" for i, ax in enumerate(axes.flat):\n",
" ax.imshow(data[i].reshape(8, 8),\n",
" cmap='binary', interpolation='nearest',\n",
" clim=(0, 16))\n",
"plot_digits(digits.data)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"np.random.seed(42)\n",
"noisy = np.random.normal(digits.data, 4)\n",
"plot_digits(noisy)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"12"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Here 50% of the variance amounts to 12 principal components.\n",
"from sklearn.decomposition import PCA\n",
"pca = PCA(0.50,svd_solver='full').fit(noisy)\n",
"pca.n_components_"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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NirePsm386aefYM5al5jxVhmh2D5qFrj4SafTNmfOnKzc26kLCwthftVVV8F8/vz5dK6OHTvCvF+/fnQM6snTvn17+NxUKmWzZs3Kyr2TJfsBWb9+PcybNm1K52J9wp5//nk6hu3wiUQi60r9dDpt8+bNy3rujh076PysL8urr74K81tvvZXOxfrbsIWwmVmNGjVgfvDBB8NKhHQ6bXPnzs3KvW28//77YT5hwgSYb968mc7FvsORI0fSMa1atcrKWrZsCZ+bSqVs5syZWXloDzQzs3feeQfmXu+y0aNHw9zbrxm2j6JzDDuBmpn17NkT5l988QXMvR9B9g+QK664go7p06cPzKtWrUr3UXQcFsfNN98Mc2+xzc693j880QKd9VmqV6+effrpp1m5tyBji/fu3bvD/IMPPqBzXXfddTAfMmQIHYMWfm3btoXPTaVSsP+d94+4YcOGwXzr1q0wnzhxIp2LLbJYH0Yzsx49esAcHYNmfB/1/hHCfis++eQTmHt9Lvv37w/z0AW61wtM/+0lIiIisaLFj4iIiMSKFj8iIiISK1r8iIiISKwEXfAcRRG84Mi74PmWW26BObuga+jQoXQudpGgdzEkukCLXTAWRRGs0vIu8mKVHg8//DDMd+7cSediF9Lm5/O7jHtX+O+tjz76iD42Y8aMoPeELsYtwi54rlChAh3jXVwcYs2aNfQxdJG7Gb8wnj3fzODFuma8KsfMLDc3lz62p0QiEXxx84IFC2B+7733wtyrnnz77bdhXrNmTTompMqGHYPsokkzXhHE9h3vIkh2UWypUqXomNKlS9PHkCiK7Ndff83KWWWjGa+6ZBfr33fffUHvyQxf1FwEnWPZxafJZDK4+o9d/Lp8+XKYs4ouM7NRo0bB/IwzzqBjUGVTaJUvu8Dem6t58+YwX7hwIZ2LFQWxqsfiyGQy8AJ4di4x48db7dq1Yc7WBmb8gmdvrYGqzdBx9v/noo+IiIiI7Ie0+BEREZFY0eJHREREYkWLHxEREYkVLX5EREQkVrT4ERERkVgJKnU3w2XiS5cupc8fN24czFmvHFZ+a8bLIb2+TaiMmpWtFqdEk5XSeX1WmBNPPBHmTZo0oWNY88YQXpNA1qCVlQR7JagMa7pn5t9mgEFlpQ0bNqTPZ7ddWLJkCcxZI1Qzs2bNmsH8lFNOoWNKAvuezMyGDx8Oc9azrkOHDnQuVsrvjWG3g0ASiQTsAeXtB6zUnH3mXbp0oXP16tUL5t7n6/X+KymTJk2CObstASsvLi50XgxtVMr6WJnxc9DTTz8N88cff5zO9cYbb8C8OM13EXa7Ce/cd+2118J8ypQpMPeafrJbNbRr146OCf2dSCQS8NYL3u0QOnfuDPMHHngA5t55dMWKFTD3mnyjfnbe7SP0lx8RERGJFS1+REREJFa0+BEREZFY0eJHREREYkWLHxEREYmVoDKFRCIBr/BnVTGejh07Bo9BjdbM/GahITKZDKw6OOSQQ+iYRx55BOasyZvXNLJVq1Yw9xonhlYwoGaExxxzDH3+3XffDfNdu3bBfNGiRXQuVpVXtmxZOoY1ofWe/8svv2TlXjPQKlWqwPydd96B+fTp0+lcY8eOhbm3jWi/Zk0jzfBnMm3aNPr8d999F+assaDXxJNVjaxbt46OQdVbobyKMVZlw74/1iTUzOyGG26AuVfR5TVPZEL3a3bssCo71vzSzOzMM8+EuXee8faJveU13mRVOazKj1VomuEmpWa48WWRkOa7rOmnV+3FzoujR4+G+VFHHUXnuuyyy37nHWYL/Z1gVZdNmzalY9g5jv1up1IpOtf48eNhfv3119MxXiUaor/8iIiISKxo8SMiIiKxosWPiIiIxIoWPyIiIhIrWvyIiIhIrARVe0VR5FahILm5uTDv169f0DxmvBfIl19+Scegnjys0iKZTMLKro0bN9L5WTXCscceC/MtW7bQuVhVGepP9nuvz6C+V40aNaLPZ4/961//gjnrVWNm1rNnT5gfd9xxdExoVQzru1McrD+S1ydnxIgRMD/jjDPomJycnKzM65uEvsPZs2fT57NKj4ULF8J8+fLldC5W0VKvXj06JhQ6x7Rv354+n/VNQlV/Zn7V0QcffADzrl270jGhWCWNZ/369TD/6KOPYP7666/TucqXLw/zgQMH0jF169bNykKPzfz8fPoYq4Zi/Q49K1euhLlXFRzyu5ZMJoMri1j176mnngpzb7v79u0b9Nolyav6O/LII2HOfp+9npKDBg2C+eTJk+mY8847jz6G6C8/IiIiEita/IiIiEisaPEjIiIisaLFj4iIiMSKFj8iIiISK1r8iIiISKwENzZFDehq1KhBxyxduhTmy5Ytg3mDBg3oXKzMzis7RGXJXokmesxriMca8vXp0wfmw4cPp3M9/fTTMPfKpEMbDqIy6eJ48cUXYe59F+y1vWaoXtPVEN53XlBQAPPBgwfDnJXAm5n17t0b5u+//z4dM2DAAPrYnqIogo00GzduTMe0aNEC5uwWA16ZNCvZPfroo+mYUF6ZP8KOtS+++ALmjz32GJ2L7Qsedg5gMpkMPC+xZsFmZosXL4Y5+z6eeOIJOhf73m+//XY6ZsKECVkZO55Zc2HvuGH7KLstAdtuM7MePXrAvEmTJnRM6D6HbNiwgT72zTffwLxZs2Ywf/LJJ+lc7FjzmqH+X2LnXq9hePfu3WH+3HPP0TEqdRcRERFxaPEjIiIisaLFj4iIiMSKFj8iIiISK1r8iIiISKwEVXsxRxxxBH2sevXqMD///PNhfvLJJwfP1blzZzqmJKqhWDNHM7MuXbrAnF3hPmbMGDpXtWrVfufd/e9EUQSb+3mNQN966y2Ys6vua9asSediFWKrVq2iY0aNGkUfQ1glDWvuaWb27LPPwpx9Hx9++GHQezLzmzqi98saLbKKy169etH5a9WqBXPU9NfMr0hs3bo1zEuqmWwURfB9HXAAP1Xl5eXB/KWXXoL5unXr6FypVOp33mG2HTt2BI8JbQp6yimnwJxVEbLqKTO+/3pNiVHFK6o6NOPNhVmTazNeqcQat6bTaToXq570GkSXhO3bt9PHPvnkE5i3atUK5l4FYXH2t1CsYo81Fzcze/zxx4Neo2XLlvSxkSNHwtw7z2zatCkr8xp/6y8/IiIiEita/IiIiEisaPEjIiIisaLFj4iIiMSKFj8iIiISK1r8iIiISKwElbpnMhlYZlelShU6hpUqsgaQrGzVzOzqq6+GOSs3Z0Kb2JUtW5Y+VrFiRZhv2bIl6DXMeCm/xyvl21MURfD5Xukkaw6JyiDN/Mapc+fOhXnp0qXpmO+//54+hiSTSVjWjsrJi7AS1QceeADmrETczKxNmzYwP/XUU4Nen5W6M94tHdh7Qs0qzfyGg6effnrQ+zLzP689JRIJWNa+detWOuaKK66A+ZIlS2A+duxYOteJJ574O+8wm1eGj7DbMVStWpWOueaaa2DOyvbbtWtH52LHQrdu3eiY0FuGhGIlzKwE3jvnn3POOSXynkJ5TZ1Z09NZs2bB/Nhjj6Vz1alTJ+yNWfj5ZPfu3fC8xH7vzPjvJLsdAytn91x66aX0MXSOUKm7iIiIyL9p8SMiIiKxosWPiIiIxIoWPyIiIhIrWvyIiIhIrCRCGuwlEon1ZsY7NO47UlEUZXWt3I+2zwxs4/6+fWb71Tbu79tnpn10X6ft2/ft79sIt88scPEjIiIisq/Tf3uJiIhIrGjxIyIiIrGixY+IiIjEStB92XNycqJUKpWVey0N2G21Fy9eDHOv1UGDBg1g7rWrQK9fUFBghYWFWW86JycnSqfTdK4Qu3btgvmiRYvoGHbr8IYNGwa/fl5eXuGeF3qx7fNuAV5QUADzjRs3wtxrdcI+W2//YdD2mfF91Lu2bfXq1TBnbQBYOwzvdbz9qlKlSllZfn7+H76PMuzYNOOtL2rWrEnHHHTQQTBn+yj6/rzb8+fn4+syf/3116D3Y2ZWuXJlmLP2C2b8nDV//ny6j5bUd7hy5UqYe+116tatC3Pv2GWvzfbR0N8JprCwEOZr1qyhY9j3W6NGDTqmQoUKWVno74S3j7JzDNs+9PkVYfuodx5nn/2CBQtKbB9lLWjYd8W2w4y3enLbVYB1ADuPmgUuflKpFOxFcuCBB9Ix7AeE9Ww5+uij6VyvvPIKzL3eW+j1Wd+bdDpts2fPzsqL09eGnZTq169Px3Tq1AnmU6ZMCX79RCKR9YuQTqdt3rx5Wc/1+iZdfvnlMH/hhRdg7vWwevLJJ2Hu/bAwaPvM+D66c+dOOtddd90Fc9bXbM6cOXQudnD+5S9/oWN69eqVlbF+XCW5jzJNmjShj7F99IYbbqBjnEVv1neYSqXg9v300090/ssuuwzm7KRbu3ZtOlf//v1hfthhh9Ex7B8nZcqUgftoOp2Gfe6Kszi44IILYP7mm2/SMSNGjID5gAEDgl67RYsWME+lUvbZZ59l5d6ik3n66adhfuedd9Ix7Bx73XXX0TGop1v79u3hc9l51PtH0e233w7zp556Cub3338/natv374w37RpEx3DzrHlypWj+yjaRs97770H83vvvRfmZ555Jp3ryiuvhPnmzZvpGNTTsW3btvT5+m8vERERiRUtfkRERCRWtPgRERGRWNHiR0RERGIl6ILnRCLhXtyMNG3aFOasisir3CpfvjzMv/vuOzqmTp06WRm7sDCKIlghsnz5cjp/uXLlYP7111/D/IAD+Ec+f/58+tgf6YMPPqCPsQub2UWs7EJvM7PRo0fD/JZbbqFjQrF99Ntvv6VjPv74Y5h7FzwyTzzxBMyXLFlCx/Tr1y8rY/toJpOBF2+z/dDDLrb0LkxFVTFm/Hg28z8vBFXNfP755/T57ELT4lTenXbaaTBfu3YtHeNVoDChFzezi0afeeYZmHfs2JHO5R0LJSV0+6ZPnw5zdGG4mdm5555L52Lnma+++oqOQYUaodvgHYMrVqyAOSsuYNXCZmajRo2CebNmzegYb39AoiiC5xmvinDChAkwZ79r3jF18cUXwxxVxhZB5yBW8Wmmv/yIiIhIzGjxIyIiIrGixY+IiIjEihY/IiIiEita/IiIiEisaPEjIiIisRJU6s7K31atWkXHsDL0s846C+Ze/5XWrVsHvYYZ7snjlbqjMluvJO+3336D+dSpU4Oeb2Z27LHH0scYr2EngrbP6wt1/vnnw/yOO+6Auff9eWWHfzSvvPmSSy6BOesB9+mnn9K5WD8cr9QUfS7se00mk8Uqa0eGDBkC8x49etAx7FYX3nfr9ePZUyKRgKX23nHD+rax3lO9e/emc7FjwSvxrVWrFn0MiaIIbo9Xij1s2DCYswaYw4cPp3Oh23+UpOLcEoXdTuSII46AuXeuHDlyJMy9WziEHIPFwfpY5eXlwXzdunV0LnY7Da8fWHHOvei2M6xk38xgTz4z3gzZO27YLQ5yc3PpmHr16mVl3neuv/yIiIhIrGjxIyIiIrGixY+IiIjEihY/IiIiEita/IiIiEisBDc2LV26dFa+ceNGOoY1WxszZgzMvcqqgw8+GObelfElAW1zkZtvvhnm06ZNC36dzp07w/yXX36hY9hnEqJLly70sV69esGcNTBF1WRF+vTpE/S+fm8+JIoi2BSwbNmydEzbtm1hzpq6fvbZZ3SuE088EeaNGjWiY1DlD6s02b17t23dujUr9xohXnnllTBn1VBeZdqMGTNg3rx5czrGa0a4t/Lz8+ljrDKEVfh5xwxrSLx69Wo6pnHjxvQxJIoi+/nnn7Ny7zusUqUKzNnxWa1aNToXq6D6o3nn6VdeeQXmbLsnTZoU/PpeA9oyZcpkZV6T7VAdOnSA+fjx42HOmoSa8f2afVZm4U1aWdUlay5uZtaqVSuYz5o1C+as0s2MVyu+/vrrdExohaH+8iMiIiKxosWPiIiIxIoWPyIiIhIrWvyIiIhIrGjxIyIiIrESVO2VyWRs+/btWbl3FX/Lli1hXrt27aDczOyCCy6A+eLFi+mYkEqaZDIJq4JycnLo/KxSiPV/8io6vv/+e5h71SmhPVtQBQPrvWJmsCrFzOzxxx+HuVf5V7duXZh71Wxe3zGEVSl4GjRoAPOKFSvC/IsvvqBzHXrooTD3qm8QVmlSqlQpq1ChQlb+8ssv07l++uknmLMeXl4VBqu68nqnlUSPJO87Pfzww2HOelh9++23dC702Zrxfbc4kskkPOYOOICfjlmVzeTJk2E+Z84cOtdzzz0H8/r169MxaB/yqqcQb7/asWMHzFml7aZNm4Je2wz3fiouVIXqvadx48bB/N1334U5qj4rctlll8H8yCOPpGO8alcGHbdNmjShz2f7FcMq3czMBg4cCHPW18zM7yuJ6C8/IiIiEita/IiIiEisaPEjIiIisaLFj4iIiMSKFj8iIiISK1r8iIiISKwElbonk0krV65cVs5Kgs14iR8rQ7388svpXKy0MpVK0TGbN2/e63kymUxww8H27dvDfNWqVTBftGgRnYs1dV22bBkdw8q0GbTtXtM71tzz+eefh/mgQYPoXKxk32tm6936IIT3HbIyalY6+d5779G5Jk6cCPOnn37aeXd7jzVu9b5DVgrepk0bmD/22GN0roKCAph7pbmhTRUR1iDZzGzw4MEwZ2Xr7DYNZmZ9+/aF+UknnUTHhDbfZbxbPrDPnfGaCN90000wHzBgAB1z2mmnZWWh32uNGjXoY71794Y5a7rMGkqb4dubmPFzdagoiuB37p1j2Hn/7rvvhvnMmTPpXOw2GDVr1qRjQm9LYFYyx60ZP7+ff/75dMz06dNh7pXHq9RdRERExKHFj4iIiMSKFj8iIiISK1r8iIiISKxo8SMiIiKxElTtxeTm5gaPueOOO2A+Y8YMOoY1juvfvz8dgyo+WLPMZDIJq1a8hnismRxr9Pj666/Tub7++muYl0RjSI/XHJVVxrAmrNu2baNzjR49GuZe08orrriCPsagz8t7jSlTpsC8cePGMP/888/pXKxJrFfJE9KIlTVu7dixIx3Tr1+/vZ7fzKxSpUr0sUaNGsHca/5bnEqTPXlVf6zaqrCwEOafffYZnWvYsGFhb8x49Q3DKvZYE2gz3hh3/fr1MPeqhVjl0fHHH0/HdO3aNSsLPS81bdqUPsbOo1u2bIG5VznGmmKWVOVoIpGATWi945id21lj7CpVqtC51qxZA3OvatarBEOiKILnLK+ykTXTve+++2DOKvnMzObPnw9zr/kvaqrNKv/M9JcfERERiRktfkRERCRWtPgRERGRWNHiR0RERGJFix8RERGJFS1+REREJFZKpNSdNaw04yW+pUuXhvmOHTvoXLfddhvMmzdvTseg8sPQhm1e00aGlW7edddddAwrqa9atWrw64fwyhdZA9p58+bBnJUXm5kdeOCBMK9cuTId483HoO/XKzX/8MMPYX7llVfCvH79+nSu66+/HubeMYLKlb0STaR69epBz/d4pfxsXwkt9w7FzhdmZlOnToX5kiVLYO418OzUqVPQ+zILb2yaSCTg7Ta8z3DdunUwZw1BvVtqtG7dGubetqNjlN0yhPHKlNljrMmud07s3r170PsqKayRrhm/3cSNN94I827dutG5WNn6Tz/9RMewW5MwrMm3t42swTl77aFDh9K5Dj30UJgPGTKEjgm99YL+8iMiIiKxosWPiIiIxIoWPyIiIhIrWvyIiIhIrGjxIyIiIrGSCLlCOpFIrDez/D/u7fzHpKIoyuoUuB9tnxnYxv19+8z2q23c37fPTPvovk7bt+/b37cRbp9Z4OJHREREZF+n//YSERGRWNHiR0RERGJFix8RERGJlaD2Fjk5ORFrwcCsWbMG5hs2bIC5d4v3dDoN8/Llywe9p5UrV1phYWFWD4ScnJyIvQaDbgFuZrZixQqYe20IcnJyYO61/GCtN+bPn1+454VeOTk5USqVynqud3v+ZcuWwZy1i/Bah7D3WqVKFTqG3U594cKFWdtnxrdx9+7d9DW+++47mG/fvh3mXruTatXgtXXuNqLPrKCgoMT2UeaHH36Aube/1a1bF+Ze+wkmLy+vRPbRpUuXwpzto16rkeLso4cccgjMFyxYELSPesfO5s2bYb5q1SqYs1YyZrxlTdmyZekY9N7y8/Ntw4YNe72Pet8ha4GwceNGmLP2B/9+ffpYiNDfCe/62bVr18KcnWO2bt1K52K/kYcddhgdw86j6Bg0K953yH4r2LZ4v9us5ZF3HKJ2K/n5+fA7NAtc/NSrV88+/fTTrNzrQ3TffffB/Nlnn4W594E8+eSTMD/hhBPoGPSjl5ubC5+bTqdpzyrmyy+/hPnAgQNh7vUmueCCC2A+f/58OqZx48YwL1OmTNaV+qlUymbNmpX1XHYAmvGeNN9++y3MvR/BRo0awfy8886jY7p27QrzSpUqwUqEVCplM2fOzMq9bTzttNNgPmfOHJizvm1mZpdeeinMzzrrLDoGfWbt2rWDzy3OPsrccsstMF+wYAEd89BDD8Hc+0yYRCIB99HZs2dnPdfrW9ShQweY5+fjYhXvR4Lto+eccw4dw3piVahQge6j6DzqHTuvvfYazK+99lqY165dm841YsQImB933HF0DOq91bFjR/hcto96i+qbbroJ5hMnToT5sGHD6FwXXXQRfYxBC5eWLVvC56bTaZs7d25W7v0D695774V5Xl4ezFm/OjO+nzz88MN0zMknnwxzdAyaFe87POOMM2DOtsXrycnOl2effTYdgxZM7LfeTP/tJSIiIjGjxY+IiIjEihY/IiIiEitB1/wkk0l4QSC7mMvM7J577oE5+z90dg2LmdmDDz4Ic/Z/s2b+xY17ymQy8AJm7wJXdH2CGb9ugm2DGf8/UHQhVxF20SoSRRG8Puujjz6iY77++muYs4tuly9fTudi19Z4F4F7/4+OJBIJ+J0/99xzdAy6DsrM7Oijj4b5woUL6Vyff/45zPv370/HoAsY2cWvURTZzp07s3LvehF2Mem7774Lc/Y9mfkX0paEKIrs119/zcrZtRFmZtu2bYM5u7DXu/6rRYsWMPfOAV6RBpJIJIIvEL/66qthzr5b76L4oUOHwvzRRx+lY5o2bZqVeRdoo2toPv74Y/r8N954A+bs3F5YWEjnKg50US4792QyGXjtC7v43IwX/jRr1gzmbdq0oXONHDkS5iX5mbDjkF17Zmb2/vvvw5xd08mulzXjvyPsQmgzXHzkXYSuv/yIiIhIrGjxIyIiIrGixY+IiIjEihY/IiIiEita/IiIiEisaPEjIiIisRJU6s6sX78+eMzYsWNhznojmZm1b98e5tOnT6djunfvvtfvKZFIBJfyNmnSBOY9evSAOeuNZMZLzk866SQ6pkGDBs67+5/YrQpQ6XQRVorJvoslS5bQuU488USYe2W/Xi+XEKxk3zN48GCYjx49mo5hbQUqVqwY9NqsjJiV8ntYCWyNGjVgjsqai9SvXz/otUOxfbRSpUp0DDs+WEm7Nxe7rb5Xzl6uXDn6WIiCggL6GCtpZ210xowZQ+dirVO822agWwB4pe6Id25t2LAhzFkLjR9//JHOxcqbvfeLjk92i5FkMgn7oHll2N26dYM5K4/3blXAWuiwW3OYGSxbLw7vViYMa0mxa9cuOobdpsI7DlGPPe/5+suPiIiIxIoWPyIiIhIrWvyIiIhIrGjxIyIiIrGixY+IiIjESolUe3366afBY1gzVHQVfRF2tf4nn3xCx4RWe3lNRJHc3FyYX3XVVTAfP348nYs1FuzSpQsd4zVu21teFQarZJk2bRrMN2/eTOd6+eWXYd63b186piS2z8zs8MMPp4917twZ5qxJqVc1wj4vrzqFVV0hURTBKgmvAmzy5Mkwr1ChAsxRg8AioRU+JcVrLMoqAlmzzBNOOIHOxc5LqVSKjimpffSrr76ij7GKSNYg2ntPrOIUNfcsLrSfeJ9hhw4dYP7ee+/B3KuMO+WUU2Du/Raghs/sM2THIDuezHgl78MPPwzz6667js41aNAgmKNtKBJaxcwqn4866ig6hlW0scpu75xYq1YtmHvNY739C9FffkRERCRWtPgRERGRWNHiR0RERGJFix8RERGJFS1+REREJFaCq73QFfBz5swJfuFffvkF5gcddBAds3jxYpijvjPFhbavOBUu7Mr38uXL0zGTJk2C+cSJE+kYrw/T3mI9t8z41f27d++GufdeZ86cCfPTTjvNeXfhMplMVsZ6NpmZnX/++TBftmwZzL1+aq1bt4a51/eHfZYI6+2Vl5dHx4wcORLmrN/PggUL6Fysj96FF15Ix7Rs2ZI+hqDvz/vM2fHPqj+8Sqg1a9YEzVUcmUzGduzYkZV7lSzsOGS9r7zqONY3yau+Qd9JKO87vPbaa2HOjhvvPHPrrbfCvHr16nRM8+bNs7LQ/nobN26k87NjilVhse/VzOyYY46BudcrqzjQceKdR73HkNWrV9PH2PnEOzep2ktERETEocWPiIiIxIoWPyIiIhIrWvyIiIhIrGjxIyIiIrGixY+IiIjESnCpOyr/69SpE33+q6++CnNWnuqVv7FSQq/xJ2rW55UWJ5PZ60GvNHb27NkwnzFjBsxvuukmOhcrI77hhhvomJJoqlixYsXgx7755huYL1myhM7VrFkzmDdp0oS/uWJA32HVqlWD5/niiy9g/tRTT9Ex7NYD3i0cQmQyGdu+fXtWvmXLFjqGlbSz8ulx48bRuf72t7/B/Nlnn6Vj2PfOhB6D7DNfvnw5zFmDXTPeHLJnz550TKhkMgkbOHulugsXLoQ5a77rNRhmt5y49NJL6ZjQ82godp7p378/zHv16kXnuvnmm2E+atQoOmbChAnOu9s76PYFRdhtBFhZvvf9LVq0COasBN7Mb1bM/NFNjGvXrk0fY82ev//++xJ7ff3lR0RERGJFix8RERGJFS1+REREJFa0+BEREZFY0eJHREREYiW42gvp06cPfey2226D+dq1a2HOru739OjRI+j5pUqVgnkURbA5nFdJ88Ybb8CcNZNs27YtnWvu3Lkw965wL4mr34tTMcaqfiZPnkzHeNUkDKu+KUmsyu6RRx6BeX5+Pp1r06ZNJfGWqEQiYQcckH3YehVzXbt2hXmFChVg7u0PK1asgLnXtLIkeE0bX3jhBZizqpjXXnuNzjV+/PiwN2Yl0/TTzG9mybAGkKwJtBmvCsrNzQ16bXYezWQywdVFrAKPzcNe25uLVTeaGaygDP1ed+7cSR9j5zHUINWMH5vF5TW6DYE+pyLPPPMMzFkTc6+ym1U3elWXob9j+suPiIiIxIoWPyIiIhIrWvyIiIhIrGjxIyIiIrGixY+IiIjEihY/IiIiEislUupevnx5+ljfvn1hfuSRR8K8Tp06dK6SaOLp+e2332DzVK/skJVvT5kyBea33347nYuVEXslqKxUkkGf4bZt2+jzTz31VJjPmTMH5n/961/pXCeddNLvvLtsqMllcXilt1dffTXMWWPToUOH0rkGDRoU9L7McBND1jQyiiL4WPXq1en8U6dOhfn9998P8w4dOtC5mOHDh9PHUBPPUF4TTVZiW1BQAPO77rqLznXeeeeFvTEruX3UO5ZfeeUVmJ955pkwZ7c3MOP7Q0lCZeJec99ly5bB/IEHHoB5cRp1nnHGGfQxVHbNGgIzNWvWpI+1a9cO5qwxtndrh5JuBI1EUQS3H91mo8ikSZNgzpp8t27dms41ZMgQmLPP0Qx/Zt6aQX/5ERERkVjR4kdERERiRYsfERERiRUtfkRERCRWtPgRERGRWEmEVFAlEon1Zsa7Ou47UlEUVdsz3I+2zwxs4/6+fWb71Tbu79tnpn10X6ft2/ft79sIt88scPEjIiIisq/Tf3uJiIhIrGjxIyIiIrGixY+IiIjEihY/IiIiEita/IiIiEisaPEjIiIisaLFj4iIiMSKFj8iIiISK1r8iIiISKz8N3mHuejbS4zCAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Now we compute these components, and then use the inverse of the transform to reconstruct the filtered digits\n",
"components = pca.transform(noisy)\n",
"filtered = pca.inverse_transform(components)\n",
"plot_digits(filtered)\n",
"# This signal preserving/noise filtering property makes PCA a very useful feature selection routine—for example, \n",
"# rather than training a classifier on very high-dimensional data, you might instead train the classifier on the \n",
"# lower-dimensional representation, which will automatically serve to filter out random noise in the inputs.\n",
"#print(filtered.shape)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'cumulative explained variance')"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# This curve quantifies how much of the total, 64-dimensional variance is contained within the first N components.\n",
"# For example, we see that with the digits the first 10 components contain approximately 75% of the variance, \n",
"# while you need around 50 components to describe close to 100% of the variance.\n",
"# Here we see that our two-dimensional projection loses a lot of information (as measured by the explained variance)\n",
"# and that we'd need about 20 components to retain 90% of the variance. Looking at this plot for a high-dimensional\n",
"# dataset can help you understand the level of redundancy present in multiple observations.\n",
"pca = PCA().fit(digits.data)\n",
"pl.plot(np.cumsum(pca.explained_variance_ratio_))\n",
"pl.xlabel('number of components')\n",
"pl.ylabel('cumulative explained variance')"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 1.08 s, sys: 0 ns, total: 1.08 s\n",
"Wall time: 77.6 ms\n",
"(1797, 2)\n",
"[[ 1.88979697e-17 -1.73094646e-02 -2.23428823e-01 -1.35913315e-01\n",
" -3.30323437e-02 -9.66340941e-02 -8.32943529e-03 2.26900112e-03\n",
" -3.20516558e-04 -1.19308909e-01 -2.44451675e-01 1.48512727e-01\n",
" -4.67319789e-02 -2.17740751e-01 -1.48136699e-02 4.47779526e-03\n",
" -4.94137277e-05 -7.95419471e-02 8.33951552e-02 2.15915343e-01\n",
" -1.72126801e-01 -1.63712086e-01 2.86444505e-02 4.23251798e-03\n",
" 9.85488203e-05 6.42319104e-02 2.54093318e-01 -3.56771024e-02\n",
" -2.09462550e-01 -4.31311338e-02 5.13118635e-02 2.13422729e-04\n",
" 0.00000000e+00 1.59950888e-01 3.68690769e-01 1.64406815e-01\n",
" 8.52008018e-02 3.72982797e-02 2.15866842e-02 0.00000000e+00\n",
" 1.28865598e-03 1.06945299e-01 3.03067475e-01 2.47813034e-01\n",
" 2.09637314e-01 1.22325242e-02 -3.69458673e-02 1.61484989e-03\n",
" 6.93023558e-04 -8.35143464e-03 -5.58598744e-02 9.30533904e-02\n",
" 1.07387714e-01 -1.37734574e-01 -6.32879524e-02 9.61671479e-04\n",
" 9.55079446e-06 -1.40786827e-02 -2.35675477e-01 -1.41225596e-01\n",
" -9.15965055e-03 -8.94184632e-02 -3.65977023e-02 -1.14684917e-02]\n",
" [ 4.84595694e-18 -1.01064827e-02 -4.90851983e-02 -9.43324620e-03\n",
" -5.36010583e-02 -1.17755060e-01 -6.21281517e-02 -7.93574579e-03\n",
" -1.63215985e-04 -2.10167104e-02 6.03485732e-02 -5.33737019e-03\n",
" -9.19763983e-02 -5.19209085e-02 -5.89355731e-02 -3.33284151e-03\n",
" -4.22860517e-05 3.62459487e-02 1.98257329e-01 -4.86386075e-02\n",
" -2.25574758e-01 -4.50570460e-03 2.67694593e-02 -2.08745796e-04\n",
" -5.66228595e-05 7.71235756e-02 1.88447047e-01 -1.37952593e-01\n",
" -2.61042893e-01 4.98347361e-02 6.51112705e-02 4.03196290e-05\n",
" -0.00000000e+00 8.81559368e-02 8.71736977e-02 -2.70860262e-01\n",
" -2.85291919e-01 1.66461786e-01 1.27860754e-01 -0.00000000e+00\n",
" 2.89438596e-04 5.08303815e-02 1.30274294e-01 -2.68906368e-01\n",
" -3.01575856e-01 2.40259106e-01 2.17555883e-01 1.32726597e-03\n",
" 2.86743140e-04 1.05547343e-02 1.53370403e-01 -1.19534704e-01\n",
" -9.72508436e-02 2.85869531e-01 1.48776520e-01 5.42272688e-04\n",
" -3.34027636e-05 -1.00791493e-02 -7.02726528e-02 1.71109236e-02\n",
" 1.94296360e-01 1.76696953e-01 1.94545097e-02 -6.69702389e-03]]\n"
]
}
],
"source": [
"from sklearn.decomposition import PCA\n",
"pca = PCA(n_components=2,svd_solver='randomized')\n",
"%time X_pca = pca.fit_transform(X)\n",
"print(X_pca.shape)\n",
"print(pca.components_)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = pl.figure()\n",
"from itertools import cycle\n",
"colors = ['b', 'g', 'r', 'c', 'm', 'y', 'k']\n",
"markers = ['+', 'o', '^', 'v', '<', '>', 'D', 'h', 's']\n",
"for i, c, m in zip(np.unique(y), cycle(colors), cycle(markers)):\n",
" pl.scatter(X_pca[y == i, 0], X_pca[y == i, 1], \n",
" c=c, marker=m, label=i, alpha=0.5)\n",
"_ = pl.legend(loc='best')"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# We can observe that even in 2D, the groups of digits are quite well separated, especially the digit “0″ that is \n",
"# very different from any other (the closest being “6″ as it often share most the left hand side pixels). We can \n",
"# also observe that at least in 2D, there is quite a bit of overlap between the “1″, “2″ and “7″ digits. \n",
"# To better understand the meaning of the “x” and “y” axes of this plot let us also visualize the values of the \n",
"# first two principal components that are used to compute this projection\n",
"labels = ['Component #%d' % i for i in range(len(pca.components_))]\n",
"plot_gallery(pca.components_, labels, shape=(8, 8))"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 346 ms, sys: 0 ns, total: 346 ms\n",
"Wall time: 30.2 ms\n"
]
},
{
"data": {
"text/plain": [
"(1797, 3)"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca = PCA(n_components=3)\n",
"%time X_pca = pca.fit_transform(X)\n",
"X_pca.shape"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = pl.figure()\n",
"ax = fig.add_subplot(projection='3d')\n",
"from itertools import cycle\n",
"colors = ['b', 'g', 'r', 'c', 'm', 'y', 'k']\n",
"markers = ['+', 'o', '^', 'v', '<', '>', 'D', 'h', 's']\n",
"for i, c, m in zip(np.unique(y), cycle(colors), cycle(markers)):\n",
" ax.scatter(X_pca[y == i, 0], X_pca[y == i, 1], X_pca[y == i, 2],\n",
" c=c, marker=m, label=i, alpha=0.5)\n",
"_ = pl.legend(loc='best')"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"labels = ['Component #%d' % i for i in range(len(pca.components_))]\n",
"plot_gallery(pca.components_, labels, shape=(8, 8))"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.0"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Overfitting is the problem of learning the training data by heart and being unable to generalize by making \n",
"# correct predictions on data samples unseen while training. To illustrate this, let’s train a Support Vector \n",
"# Machine naively on the digits dataset\n",
"from sklearn.svm import SVC\n",
"SVC(kernel='linear').fit(X, y).score(X, y)\n",
"#SVC(C=7).fit(X, y).score(X, y)\n",
"#SVC(kernel='rbf').fit(X, y).score(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"train data shape: (1347, 64), train target shape: (1347,)\n",
"test data shape: (450, 64), test target shape: (450,)\n"
]
}
],
"source": [
"from sklearn.model_selection import train_test_split\n",
"X_train, X_test, y_train, y_test = train_test_split(\n",
" X, y, test_size=0.25, random_state=0)\n",
"print(\"train data shape: %r, train target shape: %r\"\n",
" % (X_train.shape, y_train.shape))\n",
"print(\"test data shape: %r, test target shape: %r\"\n",
" % (X_test.shape, y_test.shape))"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.svm import SVC\n",
"svc = SVC(kernel='linear').fit(X_train, y_train)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.0"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"train_score = svc.score(X_train, y_train) \n",
"train_score"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.9711111111111111"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"test_score = svc.score(X_test, y_test)\n",
"test_score\n"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.0"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"svc_2 = SVC(kernel='rbf', C=100, gamma=0.001).fit(X_train, y_train)\n",
"svc_2.score(X_train, y_train)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.9933333333333333"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"svc_2.score(X_test, y_test)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"10\n",
"train indices: [ 353 5 58 1349 1025 575 1074 1110 1745 689]...\n",
"test indices: [1081 1707 927 713 262 182 303 895 933 1266]...\n",
"train score: 0.999, test score: 0.989\n",
"\n",
"train indices: [1336 608 977 22 526 1587 1130 569 1481 962]...\n",
"test indices: [1014 755 1633 117 181 501 948 1076 45 659]...\n",
"train score: 0.998, test score: 0.994\n",
"\n",
"train indices: [ 451 409 911 1551 133 691 1306 111 852 825]...\n",
"test indices: [ 795 697 655 573 412 743 635 851 1466 1383]...\n",
"train score: 0.999, test score: 0.994\n",
"\n",
"train indices: [1645 1321 1410 1602 617 823 667 1360 1138 154]...\n",
"test indices: [ 771 303 1751 1387 703 765 1543 970 1026 743]...\n",
"train score: 0.999, test score: 0.994\n",
"\n",
"train indices: [ 385 619 272 1744 1592 1041 1632 945 336 211]...\n",
"test indices: [ 970 659 408 1537 1106 134 1293 664 1524 717]...\n",
"train score: 0.999, test score: 0.994\n",
"\n",
"train indices: [ 118 3 854 1084 743 668 1782 319 887 1404]...\n",
"test indices: [ 137 285 507 188 1790 1634 298 491 853 1592]...\n",
"train score: 0.999, test score: 0.994\n",
"\n",
"train indices: [ 420 219 95 1579 1514 1611 1045 1609 605 1433]...\n",
"test indices: [1173 719 1309 1510 543 177 1086 385 1125 1564]...\n",
"train score: 0.999, test score: 0.989\n",
"\n",
"train indices: [ 405 723 758 205 1213 85 342 1549 1446 1221]...\n",
"test indices: [ 538 1315 1268 1165 167 1353 459 267 143 484]...\n",
"train score: 0.999, test score: 0.994\n",
"\n",
"train indices: [1101 974 371 487 1263 1719 949 1030 1017 1539]...\n",
"test indices: [ 326 869 436 1367 791 1720 1500 1002 44 148]...\n",
"train score: 0.999, test score: 0.989\n",
"\n",
"train indices: [ 684 618 197 1520 224 1677 219 1383 774 936]...\n",
"test indices: [1317 1367 1706 589 1779 398 920 708 652 663]...\n",
"train score: 0.999, test score: 1.000\n",
"\n"
]
}
],
"source": [
"from sklearn.model_selection import ShuffleSplit\n",
"cv = ShuffleSplit(n_splits=10, test_size=0.1, random_state=0)\n",
"print(cv.get_n_splits(X))\n",
"for train, test in cv.split(X):\n",
" print(\"train indices: {0}...\".format(train[:10]))\n",
" print(\"test indices: {0}...\".format(test[:10]))\n",
"\n",
" svc = SVC(kernel=\"rbf\", C=1, gamma=0.001).fit(X[train], y[train])\n",
" print(\"train score: {0:.3f}, test score: {1:.3f}\\n\".format(\n",
" svc.score(X[train], y[train]), svc.score(X[test], y[test])))"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0.98888889, 0.99444444, 0.99444444, 0.99444444, 0.99444444,\n",
" 0.99444444, 0.98888889, 0.99444444, 0.98888889, 1. ])"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.model_selection import cross_val_score\n",
"\n",
"svc = SVC(kernel=\"rbf\", C=1, gamma=0.001)\n",
"cv = ShuffleSplit(n_splits=10, test_size=0.1,\n",
" random_state=0)\n",
"\n",
"test_scores = cross_val_score(svc, X, y, cv=cv, n_jobs=2)\n",
"test_scores"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"from scipy.stats import sem\n",
"\n",
"def mean_score(scores):\n",
" \"\"\"Print the empirical mean score and standard error of the mean.\"\"\"\n",
" return (\"Mean score: {0:.3f} (+/-{1:.3f})\").format(\n",
" np.mean(scores), sem(scores))\n"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Mean score: 0.993 (+/-0.001)\n"
]
}
],
"source": [
"print(mean_score(test_scores))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}