{ "cells": [ { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Bs9w66VYCAwM5fuy42ZPIwZ+dx1D+DmSL/xk3bhzR0dHMmjWLL774ggkTJrBly5ZyxzNp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\nL4aW2k55n2sWBhkGHASOFa8df/Osm/lP+n/o1bI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn import neighbors\n", "%matplotlib inline\n", "np.random.seed(0)\n", "X = np.sort(5 * np.random.rand(40, 1), axis=0)\n", "T = np.linspace(0, 5, 500)[:, np.newaxis]\n", "y = np.sin(X).ravel()\n", "\n", "# Add noise to targets\n", "y[::5] += 1 * (0.5 - np.random.rand(8))\n", "\n", "###############################################################################\n", "# Fit regression model\n", "n_neighbors = 5\n", " \n", "for i, weights in enumerate(['uniform', 'distance']):\n", " knn = neighbors.KNeighborsRegressor(n_neighbors, weights=weights)\n", " y_ = knn.fit(X, y).predict(T)\n", "\n", " plt.subplot(2, 1, i + 1)\n", " plt.scatter(X, y, c='k', label='data')\n", " plt.plot(T, y_, c='g', label='prediction')\n", " plt.axis('tight')\n", " plt.legend()\n", " plt.title(\"KNeighborsRegressor (k = %i, weights = '%s')\" % (n_neighbors,\n", " weights))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Automatically created module for IPython interactive environment\n" ] }, { "data": { "image/png": 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II4HNGRkZzJw5M9Ce0nDEeXFxccho5lbRTtazMMnFgkV78fTTEDSFQzxkAN0b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\nWnoGT/nT1D8O08dxTJ/hHHPOE03OY3t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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(__doc__)\n", "\n", "# Import the necessary modules and libraries\n", "import numpy as np\n", "from sklearn.tree import DecisionTreeRegressor\n", "import matplotlib.pyplot as plt\n", "\n", "# Create a random dataset\n", "rng = np.random.RandomState(1)\n", "X = np.sort(5 * rng.rand(80, 1), axis=0)\n", "y = np.sin(X).ravel()\n", "y[::5] += 3 * (0.5 - rng.rand(16))\n", "\n", "# Fit regression model\n", "regr_1 = DecisionTreeRegressor(max_depth=2)\n", "regr_2 = DecisionTreeRegressor(max_depth=5)\n", "regr_1.fit(X, y)\n", "regr_2.fit(X, y)\n", "\n", "# Predict\n", "X_test = np.arange(0.0, 5.0, 0.01)[:, np.newaxis]\n", "y_1 = regr_1.predict(X_test)\n", "y_2 = regr_2.predict(X_test)\n", "\n", "# Plot the results\n", "plt.figure()\n", "plt.scatter(X, y, c=\"k\", label=\"data\")\n", "plt.plot(X_test, y_1, c=\"g\", label=\"max_depth=2\", linewidth=2)\n", "plt.plot(X_test, y_2, c=\"r\", label=\"max_depth=5\", linewidth=2)\n", "plt.xlabel(\"data\")\n", "plt.ylabel(\"target\")\n", "plt.title(\"Decision Tree Regression\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Automatically created module for IPython interactive environment\n" ] }, { "data": { "image/png": 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lwoULmYotLi5O/Pz8ZNq0aXLnzh35+eefxdnZWUaPHi1RUVHyyy+/SGxsrFy/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\nNJqRTUbi6uzq6FA0eytXzqiaOn3aSBj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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(__doc__)\n", "\n", "import numpy as np\n", "from sklearn.svm import SVR\n", "import matplotlib.pyplot as plt\n", "\n", "###############################################################################\n", "# Generate sample data\n", "X = np.sort(5 * np.random.rand(40, 1), axis=0)\n", "y = np.sin(X).ravel()\n", "\n", "###############################################################################\n", "# Add noise to targets\n", "y[::5] += 3 * (0.5 - np.random.rand(8))\n", "\n", "###############################################################################\n", "# Fit regression model\n", "svr_rbf = SVR(kernel='rbf', C=1e3, gamma=0.1)\n", "svr_lin = SVR(kernel='linear', C=1e3)\n", "svr_poly = SVR(kernel='poly', C=1e3, degree=2)\n", "y_rbf = svr_rbf.fit(X, y).predict(X)\n", "y_lin = svr_lin.fit(X, y).predict(X)\n", "y_poly = svr_poly.fit(X, y).predict(X)\n", "\n", "###############################################################################\n", "# look at the results\n", "plt.scatter(X, y, c='k', label='data')\n", "plt.hold('on')\n", "plt.plot(X, y_rbf, c='g', label='RBF model')\n", "plt.plot(X, y_lin, c='r', label='Linear model')\n", "plt.plot(X, y_poly, c='b', label='Polynomial model')\n", "plt.xlabel('data')\n", "plt.ylabel('target')\n", "plt.title('Support Vector Regression')\n", "plt.legend()\n", "plt.show()\n", "\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Automatically created module for IPython interactive environment\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python2.7/dist-packages/ipykernel/__main__.py:29: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", "/usr/local/lib/python2.7/dist-packages/ipykernel/__main__.py:30: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", "/usr/local/lib/python2.7/dist-packages/ipykernel/__main__.py:31: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", "/usr/local/lib/python2.7/dist-packages/ipykernel/__main__.py:32: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n" ] }, { "data": { "image/png": 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BwfhUk/7+fouWPM9qv7ebZ328mc1mu8KbWh5fW1lZMdcbjYZVbx9vMs0bjYZ1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\n7nOfC8A2N+RyOaPFGhoask4x53OaeIf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HGKzPLMxer+dYE/hbZh1x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\n5cU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LYDabmXXV7/dN493e3rZnnT9/3gkMZo2LUCDa2tqaPWtpacnuOZk8PN+J2rpqy3w+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\nnalUyvhmrVazsTKqzKclD7coenM+ovyEYrGYvefw8NDxI2VoPC+BUaYthv3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T+8exRc0n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\nEWH70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UYkxmr9ka6EMl/1et0VQOe30eTF/UDbm81mZk4MQ9NF1vubHuahD6H2j6bY6XRq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(__doc__)\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from sklearn.datasets import fetch_olivetti_faces\n", "from sklearn.utils.validation import check_random_state\n", "\n", "from sklearn.ensemble import ExtraTreesRegressor\n", "from sklearn.neighbors import KNeighborsRegressor\n", "from sklearn.linear_model import LinearRegression\n", "from sklearn.linear_model import RidgeCV\n", "\n", "# Load the faces datasets\n", "data = fetch_olivetti_faces()\n", "targets = data.target\n", "\n", "data = data.images.reshape((len(data.images), -1))\n", "train = data[targets < 30]\n", "test = data[targets >= 30] # Test on independent people\n", "\n", "# Test on a subset of people\n", "n_faces = 5\n", "rng = check_random_state(4)\n", "face_ids = rng.randint(test.shape[0], size=(n_faces, ))\n", "test = test[face_ids, :]\n", "\n", "n_pixels = data.shape[1]\n", "X_train = train[:, :np.ceil(0.5 * n_pixels)] # Upper half of the faces\n", "y_train = train[:, np.floor(0.5 * n_pixels):] # Lower half of the faces\n", "X_test = test[:, :np.ceil(0.5 * n_pixels)]\n", "y_test = test[:, np.floor(0.5 * n_pixels):]\n", "\n", "# Fit estimators\n", "ESTIMATORS = {\n", " \"Extra trees\": ExtraTreesRegressor(n_estimators=10, max_features=32,\n", " random_state=0),\n", " \"K-nn\": KNeighborsRegressor(),\n", " \"Linear regression\": LinearRegression(),\n", " \"Ridge\": RidgeCV(),\n", "}\n", "\n", "y_test_predict = dict()\n", "for name, estimator in ESTIMATORS.items():\n", " estimator.fit(X_train, y_train)\n", " y_test_predict[name] = estimator.predict(X_test)\n", "\n", "# Plot the completed faces\n", "image_shape = (64, 64)\n", "\n", "n_cols = 1 + len(ESTIMATORS)\n", "plt.figure(figsize=(2. * n_cols, 2.26 * n_faces))\n", "plt.suptitle(\"Face completion with multi-output estimators\", size=16)\n", "\n", "for i in range(n_faces):\n", " true_face = np.hstack((X_test[i], y_test[i]))\n", "\n", " if i:\n", " sub = plt.subplot(n_faces, n_cols, i * n_cols + 1)\n", " else:\n", " sub = plt.subplot(n_faces, n_cols, i * n_cols + 1,\n", " title=\"true faces\")\n", "\n", "\n", " sub.axis(\"off\")\n", " sub.imshow(true_face.reshape(image_shape),\n", " cmap=plt.cm.gray,\n", " interpolation=\"nearest\")\n", "\n", " for j, est in enumerate(sorted(ESTIMATORS)):\n", " completed_face = np.hstack((X_test[i], y_test_predict[est][i]))\n", "\n", " if i:\n", " sub = plt.subplot(n_faces, n_cols, i * n_cols + 2 + j)\n", "\n", " else:\n", " sub = plt.subplot(n_faces, n_cols, i * n_cols + 2 + j,\n", " title=est)\n", "\n", " sub.axis(\"off\")\n", " sub.imshow(completed_face.reshape(image_shape),\n", " cmap=plt.cm.gray,\n", " interpolation=\"nearest\")\n", "\n", "plt.show()" ] } ], "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": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }