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@vietjtnguyen
Created November 22, 2013 05:49
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"from matplotlib import pyplot as plt\n",
"from sklearn.cross_validation import StratifiedKFold\n",
"from sklearn.datasets import load_digits\n",
"from sklearn.linear_model import LogisticRegression"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Load MNIST digits."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data = load_digits()\n",
"X = data['data']\n",
"y = data['target']"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"rows = 10\n",
"cols = 20\n",
"plt.figure(figsize=(cols * 0.25, rows * 0.25))\n",
"for i in range(rows):\n",
" for j in range(cols):\n",
" idx = i * cols + j\n",
" ax = plt.subplot(rows, cols, idx+1)\n",
" ax.get_xaxis().set_visible(False)\n",
" ax.get_yaxis().set_visible(False)\n",
" plt.imshow(X[idx].reshape(8, 8), cmap=cm.gray, vmin=0, vmax=16)\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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u3YtGoyEuLo6pqSkmJyfDLN/5+XlcLhcrKyukp6ejUCh4/vnn2bt3r+hGRbNAJBIJcXFx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\nSUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x37bc2d0>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Separate into balanced training and test sets."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fold = StratifiedKFold(y, n_folds=2)\n",
"folds = list(fold)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"idx_train, idx_test = folds[0]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"X_train, y_train = X[idx_train], y[idx_train]\n",
"X_test, y_test = X[idx_test], y[idx_test]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Train default linear classifier."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"clf = LogisticRegression().fit(X_train, y_train)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Run on test set and calculate accuracies."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"y_pred = clf.predict(X_test)\n",
"\n",
"accuracy = np.sum(y_pred == y_test) / float(len(idx_test))\n",
"print('Overall Accuracy: {:.2%}'.format(accuracy))\n",
"\n",
"digit_accuracies = np.zeros((10,))\n",
"for digit in range(10):\n",
" digit_mask = ( y_test == digit )\n",
" digit_accuracies[digit] = np.sum((y_pred[digit_mask] == digit)) / np.sum(digit_mask, dtype=np.float)\n",
" print('Digit {:} Accuracy: {:.2%}'.format(digit, digit_accuracies[digit]))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Overall Accuracy: 95.22%\n",
"Digit 0 Accuracy: 98.88%\n",
"Digit 1 Accuracy: 90.11%\n",
"Digit 2 Accuracy: 96.63%\n",
"Digit 3 Accuracy: 94.51%\n",
"Digit 4 Accuracy: 98.90%\n",
"Digit 5 Accuracy: 97.80%\n",
"Digit 6 Accuracy: 97.78%\n",
"Digit 7 Accuracy: 93.33%\n",
"Digit 8 Accuracy: 89.66%\n",
"Digit 9 Accuracy: 94.44%\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"X_wrong = X_test[y_pred != y_test]\n",
"cols = 10\n",
"rows = len(X_wrong) / cols\n",
"plt.figure(figsize=(cols * 0.25, rows * 0.25))\n",
"for i in range(rows):\n",
" for j in range(cols):\n",
" idx = i * cols + j\n",
" if idx >= len(X_wrong):\n",
" break\n",
" ax = plt.subplot(rows, cols, idx+1)\n",
" ax.get_xaxis().set_visible(False)\n",
" ax.get_yaxis().set_visible(False)\n",
" plt.imshow(X_wrong[idx].reshape(8, 8), cmap=cm.gray, vmin=0, vmax=16)\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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QR5ebm0tNTQ1qtVpMHv7ggw+4evUqd+/e3dSlIKT9abVaMV4p+CsdDgcSiSSh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\nHdtKto3PHdtKto3PHdtKto3PHf8Hxc08wVxQ6b8AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0xe50ee90>"
]
}
],
"prompt_number": 9
}
],
"metadata": {}
}
]
}
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