diff --git a/is/UB3/ExerciseSheet3final.ipynb b/is/UB3/ExerciseSheet3final.ipynb index 982e5b0..50fdb3f 100644 --- a/is/UB3/ExerciseSheet3final.ipynb +++ b/is/UB3/ExerciseSheet3final.ipynb @@ -91,7 +91,8 @@ " \\Leftrightarrow & \\vec{y}&=& X\\vec{w}\\\\\n", " \\Leftrightarrow & X^T\\vec{y} &=& X^TX\\vec{w}\\\\\n", " \\Leftrightarrow & \\vec{w} &=& \\left(X^TX\\right)^{-1}X^T\\vec{y}\\hspace{1cm} q.e.d.\n", - "\\end{align*}" + "\\end{align*}\\\\\n", + "Warum lautet die Formel dann nicht einfach w=X^{-1}y" ] }, { @@ -108,7 +109,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 24, "metadata": { "collapsed": false }, @@ -124,7 +125,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 25, "metadata": { "collapsed": false, "scrolled": false @@ -145,7 +146,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 26, "metadata": { "collapsed": false }, @@ -168,7 +169,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 27, "metadata": { "collapsed": false, "scrolled": false @@ -177,10 +178,10 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 16, + "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, @@ -292,7 +293,7 @@ "oJt+CXUlyycAAAAASUVORK5CYII=\n" ], "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -317,7 +318,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 28, "metadata": { "collapsed": false }, @@ -331,8 +332,7 @@ "\n", " for i in range(d-1):\n", " poly = np.append(poly, (xr**i), axis=1)\n", - " #print poly \n", - " #print np.shape(poly)\n", + "\n", " return poly" ] }, @@ -345,7 +345,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 29, "metadata": { "collapsed": false }, @@ -365,7 +365,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 30, "metadata": { "collapsed": false, "scrolled": true @@ -522,7 +522,7 @@ "kMPdzCx2UQjRAAAAEklEQVSHHO5mZjnkcDczy6H/Az1pcRz7mHjbAAAAAElFTkSuQmCC\n" ], "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -549,7 +549,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 31, "metadata": { "collapsed": false }, @@ -562,7 +562,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 32, "metadata": { "collapsed": false }, @@ -886,7 +886,7 @@ "TkSuQmCC\n" ], "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -932,7 +932,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 36, "metadata": { "collapsed": false }, @@ -941,327 +941,331 @@ "name": "stdout", "output_type": "stream", "text": [ - "Minimum MSE: 0.6275\n" + "Minimum MSE: für lambda = 0.1\n" ] }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAk4AAAEACAYAAABF4/l0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", - "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3XecVNX5x/HPlyYooCiKIlZAjSXRxN6CxoYFjL3XaGLD\n", - 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notebook." ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] } ], "metadata": { @@ -1321,21 +1343,21 @@ }, "celltoolbar": "Edit Metadata", "kernelspec": { - "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,