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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Scikit-learn Supervised Learning Samples"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Package imports"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import sklearn\n",
"import sklearn.datasets\n",
"import sklearn.linear_model\n",
"import matplotlib\n",
"\n",
"# Display plots inline and change default figure size\n",
"%matplotlib inline\n",
"matplotlib.rcParams['figure.figsize'] = (10.0, 8.0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Helper function to plot a decision boundary"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# cf. http://qiita.com/moji_ai/items/9ae195739093277490fe \n",
"def plot_decision_boundary(pred_func):\n",
" # Set min and max values and give it some padding\n",
" x_min, x_max = X[:, 0].min() - .5, X[:, 0].max() + .5\n",
" y_min, y_max = X[:, 1].min() - .5, X[:, 1].max() + .5\n",
" h = 0.01\n",
" # Generate a grid of points with distance h between them\n",
" xx, yy = np.meshgrid(np.arange(x_min, x_max, h), np.arange(y_min, y_max, h))\n",
" # Predict the function value for the whole gid\n",
" Z = pred_func(np.c_[xx.ravel(), yy.ravel()])\n",
" Z = Z.reshape(xx.shape)\n",
" # Plot the contour and training examples\n",
" plt.contourf(xx, yy, Z, cmap=plt.cm.Spectral)\n",
" plt.scatter(X[:, 0], X[:, 1], c=y, cmap=plt.cm.Spectral)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Generate a dataset and plot it"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x118618dd8>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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PsTE0nZXr1xIZGemSMe12O5MnT+bzjz4hNSWVTl1v5JFHh3J9m/Z03OpNLauUw/UzTSz1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\nLMTXuy5t083prnZBHwVhpLHRNI7ToWfx9fXVdcQyERERtG7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r5Ydd4fGIYksok5WVRWRk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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x118535550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"np.random.seed(10)\n",
"X, y = sklearn.datasets.make_moons(200, noise=0.20)\n",
"plt.scatter(X[:,0], X[:,1], s=40, c=y, cmap=plt.cm.Spectral)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Logistic Rgeression Classifier"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"LogisticRegressionCV(Cs=10, class_weight=None, cv=None, dual=False,\n",
" fit_intercept=True, intercept_scaling=1.0, max_iter=100,\n",
" multi_class='ovr', n_jobs=1, penalty='l2', random_state=None,\n",
" refit=True, scoring=None, solver='lbfgs', tol=0.0001, verbose=0)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"clf = sklearn.linear_model.LogisticRegressionCV()\n",
"clf.fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"accuracy_score 0.865\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x118a342e8>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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VBDFGBdO4YcICxqdn+z7OULO0dRunuHKOt0Tw/rA7ijtaXklqwBIZjha9fDnL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KAAAQ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\nEbAAAAA8I2ABAAB4RsACAADw7P8BTPD5KYbo8hMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1185db6d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print ('accuracy_score', clf.score(X,y))\n",
"# Plot the decision boundary\n",
"plot_decision_boundary(lambda x: clf.predict(x))\n",
"plt.title(\"Logistic Regression\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Decision Tree Classifier "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"DecisionTreeClassifier(class_weight=None, criterion='gini', max_depth=2,\n",
" max_features=None, max_leaf_nodes=None, min_samples_leaf=1,\n",
" min_samples_split=2, min_weight_fraction_leaf=0.0,\n",
" presort=False, random_state=0, splitter='best')"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.tree import DecisionTreeClassifier\n",
"clf = DecisionTreeClassifier(max_depth=2, random_state = 0)\n",
"clf.fit(X, y) "
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"accuracy_score 0.91\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x1191d9d30>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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ssZ1soYsFFDKNbP4ZrhuzekQkOShgSUJMDWXSZyIsd+qYRz5Pm2ZSvF7KXAou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\n/h/gLxokA5g3hgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1191b9ba8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print ('accuracy_score', clf.score(X,y))\n",
"# Plot the decision boundary\n",
"plot_decision_boundary(lambda x: clf.predict(x))\n",
"plt.title(\"Decision Tree\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Extra Trees Classifier"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"ExtraTreesClassifier(bootstrap=False, class_weight=None, criterion='gini',\n",
" max_depth=None, max_features='auto', max_leaf_nodes=None,\n",
" min_samples_leaf=1, min_samples_split=2,\n",
" min_weight_fraction_leaf=0.0, n_estimators=10, n_jobs=1,\n",
" oob_score=False, random_state=None, verbose=0, warm_start=False)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.ensemble import ExtraTreesClassifier\n",
"clf = ExtraTreesClassifier() \n",
"clf.fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"accuracy_score 1.0\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x1117c53c8>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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0/Bj8ZokuTUSGOQUsERnW5mcV83hmEW3RMJn+IKZwJSIDQAFLRDy3vquFF1rrCPn8vD97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PAYBQsAAMBjFCwAAACPUbAAAAA8RsECAADwGAULAADAYxQsAAAAj1GwAAAAPEbBAgAA8BgFCwAA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\nAADgsf8HLCDIM9DefbMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1196b18d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print ('accuracy_score', clf.score(X,y))\n",
"# Plot the decision boundary\n",
"plot_decision_boundary(lambda x: clf.predict(x))\n",
"plt.title(\"Extra Trees Classifier\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Gradient Boosting Classifier"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"GradientBoostingClassifier(init=None, learning_rate=0.1, loss='deviance',\n",
" max_depth=3, max_features=None, max_leaf_nodes=None,\n",
" min_samples_leaf=1, min_samples_split=2,\n",
" min_weight_fraction_leaf=0.0, n_estimators=100,\n",
" presort='auto', random_state=None, subsample=1.0, verbose=0,\n",
" warm_start=False)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.ensemble import GradientBoostingClassifier\n",
"clf = GradientBoostingClassifier() \n",
"clf.fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"accuracy_score 1.0\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x1122451d0>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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I8ZRklyUio5QCloy4hzsa+Nm2tbzPTSUK/Kh+NQHzccphLlvzegaiES7Z+ASV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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11ace0ef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print ('accuracy_score', clf.score(X,y))\n",
"# Plot the decision boundary\n",
"plot_decision_boundary(lambda x: clf.predict(x))\n",
"plt.title(\"Gradient Boosting Classifier\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Ada Boost Classifier"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"AdaBoostClassifier(algorithm='SAMME.R', base_estimator=None,\n",
" learning_rate=1.0, n_estimators=50, random_state=None)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.ensemble import AdaBoostClassifier\n",
"clf = AdaBoostClassifier() \n",
"clf.fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"accuracy_score 1.0\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x11a841e10>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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+PmUR1+94gXBvOj/nNK5w87h553qe7W5JWY0Xlk7hL7aZu90m7nIb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bAAAK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\nPKNgAQAAeEbBAgAA8Oz/AdHptlGdvPBeAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x112235320>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print ('accuracy_score', clf.score(X,y))\n",
"# Plot the decision boundary\n",
"plot_decision_boundary(lambda x: clf.predict(x))\n",
"plt.title(\"Ada Boost Classifier\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Random Forest Classifier"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"RandomForestClassifier(bootstrap=True, class_weight=None, criterion='gini',\n",
" max_depth=None, max_features='auto', max_leaf_nodes=None,\n",
" min_samples_leaf=1, min_samples_split=2,\n",
" min_weight_fraction_leaf=0.0, n_estimators=100, n_jobs=1,\n",
" oob_score=False, random_state=0, verbose=0, warm_start=False)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.ensemble import RandomForestClassifier\n",
"clf = RandomForestClassifier(n_estimators=100, random_state=0) \n",
"clf.fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"accuracy_score 1.0\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x11a8d5470>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Q/jiKklJdOe4JabnMCeaypO0FSk06m2nlW6Uzj3qge8Q63FG/ge/Z+eSbFCKO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dAAAN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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11a825da0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print ('accuracy_score', clf.score(X,y))\n",
"# Plot the decision boundary\n",
"plot_decision_boundary(lambda x: clf.predict(x))\n",
"plt.title(\"Random Forest\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Support Vector Machine Classifier"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"LinearSVC(C=1.0, class_weight=None, dual=True, fit_intercept=True,\n",
" intercept_scaling=1, loss='squared_hinge', max_iter=1000,\n",
" multi_class='ovr', penalty='l2', random_state=None, tol=0.0001,\n",
" verbose=0)"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.svm import LinearSVC\n",
"clf = LinearSVC() \n",
"clf.fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"accuracy_score 0.865\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x11115deb8>"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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IiHhMAUtERETEYwpYIiIiIh5TwBIRERHxmAKWiIiIiMcUsEREREQ8poAlIiIi4jEFLBER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\nHiNgAQAAeOz/AYQ4xee1z9YuAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f0a7550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print ('accuracy_score', clf.score(X,y))\n",
"# Plot the decision boundary\n",
"plot_decision_boundary(lambda x: clf.predict(x))\n",
"plt.title(\"Linear Support Vector Machine\")"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"SVC(C=1.0, cache_size=200, class_weight=None, coef0=0.0,\n",
" decision_function_shape=None, degree=3, gamma='auto', kernel='rbf',\n",
" max_iter=-1, probability=False, random_state=None, shrinking=True,\n",
" tol=0.001, verbose=False)"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.svm import SVC \n",
"clf = SVC() \n",
"clf.fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"accuracy_score 0.93\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x119914048>"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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fNzMy87g0fyye4wwIeb4U1tq+/Y930UGuNyXWpSY93zBeU+zN+eV8rvV5Mp2f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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1196d5f98>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print ('accuracy_score', clf.score(X,y))\n",
"# Plot the decision boundary\n",
"plot_decision_boundary(lambda x: clf.predict(x))\n",
"plt.title(\"Support Vector Machine\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## K-nearest neighbors Classifier"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
" metric_params=None, n_jobs=1, n_neighbors=10, p=2,\n",
" weights='uniform')"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.neighbors import KNeighborsClassifier\n",
"clf = KNeighborsClassifier(n_neighbors=10)\n",
"clf.fit(X, y) "
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"accuracy_score 0.96\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x11b36bba8>"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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mna9Eu6yYkGRc9PLmJs89BONmDlifE2JFZwP/6WigOxSIdjlRs2Lm9zn5/LZo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iAAAS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\nf1IUm+Qnl7zjAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11b33f320>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print ('accuracy_score', clf.score(X,y))\n",
"# Plot the decision boundary\n",
"plot_decision_boundary(lambda x: clf.predict(x))\n",
"plt.title(\"K-Neighbors\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Neural Network Classifier (PyBrain)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Self-made Estimator for using PyBrain like Scikit-learn"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from pybrain.tools.shortcuts import buildNetwork\n",
"from pybrain.datasets import SupervisedDataSet\n",
"from pybrain.supervised.trainers import BackpropTrainer\n",
"\n",
"#cf. http://qiita.com/_takoika/items/89a7e42dd0dc964d0e29\n",
"\n",
"from sklearn.base import BaseEstimator\n",
"\n",
"class NNEstimator(BaseEstimator):\n",
" def __init__(self, units, times):\n",
" self.nn = buildNetwork(*units, bias=True)\n",
" self.times = times\n",
"\n",
" def fit(self, x, y):\n",
" self.ds = SupervisedDataSet(x.ndim, y.ndim)\n",
" for ix, iy in zip(x,y):\n",
" self.ds.addSample(ix, iy)\n",
"\n",
" trainer = BackpropTrainer(self.nn, self.ds, learningrate = 0.75, momentum = 0.10)\n",
" trainer.trainEpochs(self.times)\n",
" return self\n",
"\n",
" def predict(self, x):\n",
" result = [self.nn.activate(x[i])[0] for i in range(len(x))]\n",
" #return np.array(result)\n",
" return (np.sign(np.array(result) -0.5)+1)/2\n",
"\n",
" def score(self, x, y):\n",
" errors = np.absolute(clf.predict(x)-y)\n",
" return 1 - np.sum(errors)/len(errors)\n",
"\n",
" def get_params(self, deep=True):\n",
" return {'nn': str(self.nn), 'ds': self.ds}\n",
"\n",
" def set_params(self, **parameters):\n",
" for parameter, value in parameters.items():\n",
" setattr(self,parameter, value)\n",
" return self"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"NNEstimator(ds=<pybrain.datasets.supervised.SupervisedDataSet object at 0x1198ec0b8>,\n",
" nn=\"FeedForwardNetwork-8\\n Modules:\\n [<BiasUnit 'bias'>, <LinearLayer 'in'>, <SigmoidLayer 'hidden0'>, <LinearLayer 'out'>]\\n Connections:\\n [<FullConnection 'FullConnection-4': 'hidden0' -> 'out'>, <FullConnection 'FullConnection-5': 'bias' -> 'out'>, <FullConnection 'FullConnection-6': 'bias' -> 'hidden0'>, <FullConnection 'FullConnection-7': 'in' -> 'hidden0'>]\\n\")"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"clf = NNEstimator(units=[2,3,1], times = 1000)\n",
"clf.fit(X, y) "
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"accuracy_score 0.935\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x112528208>"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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nM98snzWkNYlIYilgSUIEnSiZJgn/4Ch1AC+pxkfQiR3mlYnxr456nutqIt3r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\nAAA89v8sRuLfH+P7gwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11acf5710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot the decision boundary\n",
"print ('accuracy_score', clf.score(X,y))\n",
"plot_decision_boundary(lambda x: clf.predict(x))\n",
"plt.title(\"neural network\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Scikit Flow --- simplified interface for TensorFlow\n",
"## (mimicking Scikit Learn) for Deep Learning"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Step #100, epoch #14, avg. train loss: 0.43751\n",
"Step #200, epoch #28, avg. train loss: 0.23464\n",
"Step #300, epoch #42, avg. train loss: 0.16624\n",
"Step #400, epoch #57, avg. train loss: 0.11638\n",
"Step #500, epoch #71, avg. train loss: 0.08887\n"
]
},
{
"data": {
"text/plain": [
"TensorFlowDNNClassifier(batch_size=32, class_weight=None, clip_gradients=5.0,\n",
" config=None, continue_training=False, dropout=None,\n",
" hidden_units=[10, 20, 10], learning_rate=0.1, n_classes=3,\n",
" optimizer='Adagrad', steps=500, verbose=1)"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from tensorflow.contrib import skflow\n",
"clf = skflow.TensorFlowDNNClassifier(hidden_units=[10,20,10], n_classes=3, steps=500)\n",
"clf.fit(X, y) "
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"accuracy_score 0.97\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x1200b1b70>"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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A2IS0cJcWE5q9bt5vb8AmwsyU3JCty/edYeP4rWzm920bSbQ5WDTsBMaF6D18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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1120fc438>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot the decision boundary\n",
"print ('accuracy_score', clf.score(X,y))\n",
"plot_decision_boundary(lambda x: clf.predict(x))\n",
"plt.title(\"TensorFlowDNNClassifier\")"
]
}
],
"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": "3.4.3"
},
"widgets": {
"state": {},
"version": "1.1.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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