diff --git a/is/ubA/ExerciseSheet10.ipynb b/is/ubA/ExerciseSheet10.ipynb index f329f2e..f656c6b 100644 --- a/is/ubA/ExerciseSheet10.ipynb +++ b/is/ubA/ExerciseSheet10.ipynb @@ -51,7 +51,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 64, "metadata": { "collapsed": true }, @@ -86,7 +86,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 65, "metadata": { "collapsed": false }, @@ -141,7 +141,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 66, "metadata": { "collapsed": false }, @@ -163,9 +163,9 @@ }, { "cell_type": "code", - "execution_count": 73, + "execution_count": 67, "metadata": { - "collapsed": true + "collapsed": false }, "outputs": [], "source": [ @@ -175,14 +175,14 @@ " return (data-mean)/std\n", " \n", "def PCA(X_normalized):\n", - " cov=1/np.shape(X_normalized)[0]*X_normalized.dot(X_normalized.T)\n", + " cov=1/float(np.shape(X_normalized)[0])*X_normalized.dot(X_normalized.T)\n", " return np.linalg.eig(cov)\n", "\n", "def PCAtrain(Xtrain):\n", " mean=np.mean(Xtrain)\n", " std=np.std(Xtrain)\n", " singular_values,pc_vectors=PCA(normalize(X_train))\n", - " return pc_vectors, singular_values, mean, std" + " return pc_vectors, singular_values, mean, std\n" ] }, { @@ -194,7 +194,7 @@ }, { "cell_type": "code", - "execution_count": 72, + "execution_count": 68, "metadata": { "collapsed": false }, @@ -203,9 +203,150 @@ "name": "stdout", "output_type": "stream", "text": [ - "(966,)\n", "Number of components covering 0.95 of variance: 103\n" ] + }, + { + "data": { + "image/png": [ + "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEACAYAAABcXmojAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", + "AAALEgAACxIB0t1+/AAAHMZJREFUeJzt3X2UXPV93/H3Bz2hJxBCrp6xZJBaJBk3YBBuC6wdLEvb\n", + "BNFzauC4YGILclq1BqdtbAmfgFq3MbiJa0wK54RYPFpKZOJS0coK8sPa+MQgHPMgWBQkYiHtghYD\n", + "NkIgrJX22z/u3btXo9E+zM7O3N35vM7hcO9v7tz5zYWdz/ye7igiMDMzAzip3hUwM7PicCiYmVnG\n", + 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np.sum(singular_values[-(i+1):])>0.95*total:\n", - " return i\n", + " total=np.sum(singular_values);\n", + " \n", + " ind = singular_values.argsort();\n", + " ind = ind[::-1]; # reverse sort \n", + " pcs = np.zeros(np.shape(pc_vectors)); \n", + " for i in np.arange(len(ind)):\n", + " pcs[:,i]= pc_vectors[:,i]\n", " \n", - "print(\"Number of components covering 0.95 of variance: %d\" % calc_d(X_train))" + " singular_values.sort()\n", + " singular_values = singular_values[::-1]\n", + " #print(np.shape(singular_values))\n", + " cum= np.cumsum(singular_values) \n", + " plt.plot(range(len(cum)),cum, 'ro');\n", + " plt.show;\n", + " for i in np.arange(np.shape(pc_vectors)[1]):\n", + " if cum[i]>per*total:\n", + " \n", + " return i, pcs[:,:i]\n", + "dimensions, Vd =calc_d(X_train); \n", + "print(\"Number of components covering 0.95 of variance: %d\" % dimensions)" ] }, { @@ -238,7 +392,7 @@ }, { "cell_type": "code", - "execution_count": 85, + "execution_count": 69, "metadata": { "collapsed": false }, @@ -252,10 +406,16 @@ } ], "source": [ - "#So why the PCA-stuff now?\n", + "#So why the PCA-stuff now? The point is, that due to the PCA one has only to search on less dimenions.\n", + " \n", + "Xld= (Vd.T).dot(X_train)\n", + "\n", + "Yld= y_train[:dimensions]\n", + "\n", + "# i have to remove the dimension from y too but which ones ? Just take the first 102 ones ?\n", "parameters ={'kernel':('linear', 'rbf'), 'C':[1, 10]}\n", "clf = GridSearchCV(SVC(), parameters,refit=True,n_jobs=4)\n", - "clf.fit(X_train,y_train)\n", + "clf.fit(Xld,Yld)\n", "print(\"Fitting the classifier to the training set\")" ] }, @@ -275,7 +435,7 @@ }, { "cell_type": "code", - "execution_count": 86, + "execution_count": 70, "metadata": { "collapsed": false }, @@ -285,26 +445,26 @@ "output_type": "stream", "text": [ "Predicting people's names on the test set\n", - "done in 0.723s\n", + "done in 0.116s\n", " precision recall f1-score support\n", "\n", - " Ariel Sharon 0.77 0.91 0.83 22\n", - " Colin Powell 0.82 0.79 0.81 68\n", - " Donald Rumsfeld 0.70 0.75 0.72 28\n", - " George W Bush 0.86 0.88 0.87 125\n", - "Gerhard Schroeder 0.90 0.70 0.79 27\n", - " Hugo Chavez 0.80 0.80 0.80 15\n", - " Tony Blair 0.83 0.81 0.82 37\n", + " Ariel Sharon 0.00 0.00 0.00 20\n", + " Colin Powell 0.00 0.00 0.00 56\n", + " Donald Rumsfeld 0.00 0.00 0.00 33\n", + " George W Bush 0.40 1.00 0.58 130\n", + "Gerhard Schroeder 0.00 0.00 0.00 39\n", + " Hugo Chavez 0.00 0.00 0.00 14\n", + " Tony Blair 0.00 0.00 0.00 30\n", "\n", - " avg / total 0.83 0.83 0.83 322\n", + " avg / total 0.16 0.40 0.23 322\n", "\n", - "[[ 20 1 1 0 0 0 0]\n", - " [ 3 54 2 7 0 0 2]\n", - " [ 0 2 21 4 0 0 1]\n", - " [ 1 6 4 110 1 1 2]\n", - " [ 1 0 1 3 19 2 1]\n", - " [ 0 2 0 1 0 12 0]\n", - " [ 1 1 1 3 1 0 30]]\n" + "[[ 0 0 0 20 0 0 0]\n", + " [ 0 0 0 56 0 0 0]\n", + " [ 0 0 0 33 0 0 0]\n", + " [ 0 0 0 130 0 0 0]\n", + " [ 0 0 0 39 0 0 0]\n", + " [ 0 0 0 14 0 0 0]\n", + " [ 0 0 0 30 0 0 0]]\n" ] } ], @@ -320,7 +480,7 @@ }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 71, "metadata": { "collapsed": false }, @@ -330,2027 +490,1947 @@ "evalue": "name 'eigenfaces' is not defined", "output_type": "error", "traceback": [ - "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[0;32m 25\u001b[0m \u001b[1;31m# plot the gallery of the most significative eigenfaces\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 26\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 27\u001b[1;33m \u001b[0meigenface_titles\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;33m[\u001b[0m\u001b[1;34m\"eigenface %d\"\u001b[0m \u001b[1;33m%\u001b[0m \u001b[0mi\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0meigenfaces\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 28\u001b[0m \u001b[0mplot_gallery\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0meigenfaces\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0meigenface_titles\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mh\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mw\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", - "\u001b[1;31mNameError\u001b[0m: name 'eigenfaces' is not defined" + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 25\u001b[0m \u001b[0;31m# plot the gallery of the most significative eigenfaces\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 26\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 27\u001b[0;31m \u001b[0meigenface_titles\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m\"eigenface %d\"\u001b[0m \u001b[0;34m%\u001b[0m \u001b[0mi\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0meigenfaces\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 28\u001b[0m \u001b[0mplot_gallery\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0meigenfaces\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0meigenface_titles\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mh\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mw\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'eigenfaces' is not defined" ] }, { "data": { "image/png": [ - "iVBORw0KGgoAAAANSUhEUgAAAgYAAAH+CAYAAADnFsZJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", - "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvXmUrXta1/f9VZ06NZ9z7u1u7EGwRW0RUUOCoFGBYFYH\n", - "lcEkiyWCYiNilrp0xXkeWhQTTYITGjWoKCqQgHFYmkgiIDiGRCbBFmzophvoK91976lT46mqN3/s\n", - 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"display_name": "Python 3", + "display_name": "Python 2", "language": "python", - "name": "python3" + "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 3 + "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.4.3" + "pygments_lexer": "ipython2", + "version": "2.7.9" } }, "nbformat": 4,