{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "***\n", "# Problem Sheet 2 Part B - Solutions\n", "***\n", "$\\newcommand{\\vct}[1]{\\mathbf{#1}}$\n", "$\\newcommand{\\mtx}[1]{\\mathbf{#1}}$\n", "$\\newcommand{\\e}{\\varepsilon}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\minimize}{\\text{minimize}\\quad}$\n", "$\\newcommand{\\maximize}{\\text{maximize}\\quad}$\n", "$\\newcommand{\\subjto}{\\quad\\text{subject to}\\quad}$\n", "$\\newcommand{\\R}{\\mathbb{R}}$\n", "$\\newcommand{\\trans}{T}$\n", "$\\newcommand{\\ip}[2]{\\langle {#1}, {#2} \\rangle}$\n", "$\\newcommand{\\zerovct}{\\vct{0}}$\n", "$\\newcommand{\\diff}[1]{\\mathrm{d}{#1}}$" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "### Solution to Problem 2.4" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import numpy.linalg as la\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# The following implementations of Newton's method return the whole computed trajectory for analysis purposes\n", "\n", "def newton1(f, df, ddf, x0, tol, maxiter=100):\n", " \"\"\"\n", " Newton's method with stopping criteria (a)\n", " \"\"\"\n", " x = np.vstack((x0+2*tol*np.ones(x0.shape),x0)).transpose()\n", " i = 1\n", " while ( la.norm(x[:,i]-x[:,i-1]) > tol ) and ( i < maxiter ):\n", " grad = df(x[:,i])\n", " hess = ddf(x[:,i])\n", " z = la.solve(hess,grad)\n", " xnew = x[:,i]-z\n", " x = np.concatenate((x,xnew.reshape(x0.shape)), axis=1)\n", " i += 1\n", " return x[:,1:]\n", "\n", "def newton2(f, df, ddf, x0, tol, maxiter=100):\n", " \"\"\"\n", " Newton's method with stopping criteria (b)\n", " \"\"\"\n", " x = np.vstack((x0+2*tol*np.ones(x0.shape),x0)).transpose()\n", " i = 1\n", " while ( la.norm(df(x[:,i])) > tol ) and ( i < maxiter ):\n", " grad = df(x[:,i])\n", " hess = ddf(x[:,i])\n", " z = la.solve(hess,grad)\n", " xnew = x[:,i]-z\n", " x = np.concatenate((x,xnew.reshape(x0.shape)), axis=1)\n", " i += 1\n", " return x[:,1:]\n", "\n", "def newton3(f, df, ddf, x0, tol, maxiter=100):\n", " \"\"\"\n", " Newton's method with stopping criteria (c)\n", " \"\"\"\n", " x = np.vstack((x0+2*tol*np.ones(x0.shape),x0)).transpose()\n", " i = 1\n", " while ( i < maxiter ):\n", " grad = df(x[:,i])\n", " hess = ddf(x[:,i])\n", " z = la.solve(hess,grad)\n", " xnew = x[:,i]-z\n", " x = np.concatenate((x,xnew.reshape(x0.shape)), axis=1)\n", " i += 1\n", " return x[:,1:]" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def f(x):\n", " return np.array((x-1)**6)\n", " \n", "def df(x):\n", " return np.array([6*(x-1)**5])\n", " \n", "def ddf(x):\n", " return np.array([[30*(x-1)**4]])" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x0 = np.array([10.]).reshape((1,1))\n", "tol = 1e-6\n", "\n", "x1 = newton1(f, df, ddf, x0, tol)\n", "x2 = newton2(f, df, ddf, x0, tol)\n", "x3 = newton3(f, df, ddf, x0, tol)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Method (a): 67 iterations and solution 1.00000361561\n", "Method (b): 25 iterations and solution 1.04250129835\n", "Method (c): 100 iterations and solution 1.00000000229\n" ] } ], "source": [ "print \"Method (a):\", len(x1[0]), \"iterations and solution\", x1[0,-1]\n", "print \"Method (b):\", len(x2[0]), \"iterations and solution\", x2[0,-1]\n", "print \"Method (c):\", len(x3[0]), \"iterations and solution\", x3[0,-1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While (b) was the fastest, the accuracy was not so great. Stopping criterium (a) is reasonable, since in view of the quadratic convergence, the inequality\n", "\n", "\\begin{equation*}\n", " \\norm{\\vct{x}_{k+1}-\\vct{x}_k}\\geq \\norm{\\vct{x}_k-\\vct{x}^*}-\\norm{\\vct{x}_{k+1}-\\vct{x}^*} \\geq \\norm{\\vct{x}_k-\\vct{x}^*}-M\\norm{\\vct{x}_{k}-\\vct{x}^*}^2\n", "\\end{equation*}\n", "\n", "shows that the difference of successive iterates gives a good bound on the error. Criterium (b) is problematic, as the function can have a very flat slope while still being far away from the minimizer, as the example shows.\n", "\n", "This issue is related to the notion of conditioning of the function $f$. Criterium (c) always has the same running time, and 100 iterations would normally be more than enough for Newton's method. However, this is a very pessimistic bound, and takes much longer than necessary." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xx = np.linspace(0,2,100)\n", "yy = f(xx)\n", "plt.plot(xx, yy, linewidth = 3)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solution to Problem 2.5" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Define the relevant methods\n", "\n", "def newton(f, df, ddf, x0, tol, maxiter=100):\n", " \"\"\"\n", " Newton's method with stopping criteria (a)\n", " \"\"\"\n", " x = np.vstack((x0+2*tol*np.ones(x0.shape),x0)).transpose()\n", " i = 1\n", " while ( la.norm(x[:,i]-x[:,i-1]) > tol ) and ( i < maxiter ):\n", " grad = df(x[:,i])\n", " hess = ddf(x[:,i])\n", " z = la.solve(hess,grad)\n", " xnew = x[:,i]-z\n", " x = np.concatenate((x,xnew.reshape((len(x0), 1))), axis=1)\n", " i += 1\n", " return x[:,1:]\n", "\n", "def graddesc_bt(f, df, x0, tol, maxiter=100, rho=0.5, c=0.1):\n", " \"\"\"\n", " Gradient descent with backtracking\n", " \"\"\"\n", " x = np.vstack((x0+2*tol*np.ones(x0.shape),x0)).transpose()\n", " i = 1\n", " while ( la.norm(x[:,i]-x[:,i-1]) > tol ) and ( i < maxiter ):\n", " p = -df(x[:,i])\n", " # Start backtracking\n", " alpha = 1\n", " xnew = x[:,i] + alpha*p\n", " while (f(xnew) >= f(x[:,i]) + alpha*c*np.dot(p, df(x[:,i]))):\n", " alpha = alpha*rho\n", " xnew = x[:,i] + alpha*p\n", " x = np.concatenate((x,xnew.reshape((len(x0),1))), axis=1)\n", " i += 1\n", " return x[:,1:]\n", "\n", "def graddesc_co(f, df, x0, tol, maxiter=100):\n", " \"\"\"\n", " Gradient descent with constant step length\n", " \"\"\"\n", " alpha = 0.1\n", " x = np.vstack((x0+2*tol*np.ones(x0.shape),x0)).transpose()\n", " i = 1\n", " while ( la.norm(x[:,i]-x[:,i-1]) > tol ) and ( i < maxiter ):\n", " r = df(x[:,i])\n", " xnew = x[:,i] - alpha*r\n", " x = np.concatenate((x,xnew.reshape((len(x0),1))), axis=1)\n", " i += 1\n", " return x[:,1:]" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Define the relavant functions\n", "def f(x):\n", " return np.exp(x[0]+3*x[1]-0.1)+np.exp(x[0]-3*x[1]-0.1)+np.exp(-x[0]-0.1)\n", "\n", "def df(x):\n", " return np.array([np.exp(x[0]+3*x[1]-0.1)+np.exp(x[0]-3*x[1]-0.1)-np.exp(-x[0]-0.1), \n", " 3*np.exp(x[0]+3*x[1]-0.1)-3*np.exp(x[0]-3*x[1]-0.1)])\n", "\n", "def ddf(x):\n", " return np.array([[np.exp(x[0]+3*x[1]-0.1)+np.exp(x[0]-3*x[1]-0.1)+np.exp(-x[0]-0.1), \n", " 3*np.exp(x[0]+3*x[1]-0.1)-3*np.exp(x[0]-3*x[1]-0.1)], \n", " [3*np.exp(x[0]+3*x[1]-0.1)-3*np.exp(x[0]-3*x[1]-0.1),\n", " 9*np.exp(x[0]+3*x[1]-0.1)+9*np.exp(x[0]-3*x[1]-0.1)]])" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [], "source": [ "tol = 1e-6\n", "x0 = np.array([-1.,0.7])\n", "\n", "# Run the three methods\n", "xbt = graddesc_bt(f, df, x0, tol)\n", "xco = graddesc_co(f, df, x0, tol)\n", "xn = newton(f, df, ddf, x0, tol)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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aganj4zVvISgs9zFjgYOurY1cNiRSU8C9O19m/gYv4/sb6d5a/Xd6vMK/12Vg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\n4rgDng9/BkdE6InA3YeH4Xf+7m4kABlCiBKgRJKkw0BdbPX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XhRGv+7JpTx5fHpDfh1ch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9t2ZTFmQGS9jqJyFBqNhpUrV159/MEHH/DFF1/c8PP6+RgYNyiSmaNi+fTLfEbOvEjiFeVjDurQ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aEDk5ix4DJtmodeF4mLj48XzZuE0Pzf7LmFEDgcAknj3qF6o1a9lFfYmbs8k9PnjYwdnk7T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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get a list of values for specifying the level sets\n", "xvals = np.array([[np.linspace(-4,-0.5,20)], [np.zeros(20)]])\n", "yvals = list(reversed(f(xvals)[0]))\n", "\n", "# Create a meshgrid and a contour plot\n", "xx = np.linspace(-2.5,1,100)\n", "yy = np.linspace(-0.8,0.8,100)\n", "X, Y = np.meshgrid(xx, yy)\n", "# The construction inside looks odd: we want to transform the set of input pairs given\n", "# by the meshgrid into a 2 x n array of values that we can apply f to (calling f on such\n", "# an array will apply the function f to each column)\n", "Z = f(np.dstack((X,Y)).reshape((X.size, 2)).transpose())\n", "# the result of applying f is a long list, but we want a matrix\n", "Z = Z.reshape(X.shape)\n", "\n", "% matplotlib inline\n", "cmap = plt.cm.get_cmap(\"coolwarm\")\n", "\n", "fig, ax = plt.subplots(1, 3, figsize=(15, 5))\n", "\n", "#ax[0].subplot(1,3,1)\n", "ax[0].contour(X, Y, Z, yvals, cmap = cmap)\n", "ax[0].plot(xco[0,:], xco[1,:], color='black', linewidth=3)\n", "\n", "\n", "#plt.subplot(1,3,2)\n", "ax[1].contour(X, Y, Z, yvals, cmap = cmap)\n", "ax[1].plot(xbt[0,:], xbt[1,:], color='black', linewidth=3)\n", "\n", "\n", "#plt.subplot(1,3,3)\n", "ax[2].contour(X, Y, Z, yvals, cmap = cmap)\n", "ax[2].plot(xn[0,:], xn[1,:], color='black', linewidth=3)\n", "\n", "plt.show()\n", "#plt.savefig('threemethods.png')" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The number of iterations with constant step length is: 44\n", "The number of iterations with backtracking is: 28\n", "The number of iterations with Newton's method is: 6\n" ] } ], "source": [ "print \"The number of iterations with constant step length is:\", len(xco[0,:])\n", "print \"The number of iterations with backtracking is:\", len(xbt[0,:])\n", "print \"The number of iterations with Newton's method is:\", len(xn[0,:])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solution to Problem 2.6" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(a) The verification follows from applying the definition of convexity.\n", "\n", "(b) We minimize the function using Newton's method with starting point $(a,b)=(0.5,0.5)$ and tolerance $10^{-6}$. The number of iterations is 6 and the solution is $(a,b) = (1.724,--4.434)$. Plotting the probability of passing the exam as a function of the number of preparation hours, with the parameters $(a,b)$, gives the curve computed below." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [], "source": [ "u = np.array([0.5,1.,1.5,2.5,3.,2.,3.,3.5,4.,4.5,4.75,5.])\n", "y = np.array([0, 0,0, 0, 0,1,1,1, 1,1, 1, 1])\n", "\n", "def f(x):\n", " a, b = x[0], x[1]\n", " return -np.sum(a*u[5:]+b*np.ones(7))+np.sum(np.log(1+np.exp(a*u+b*np.ones(12))))\n", "\n", "def df(x):\n", " a, b = x[0], x[1]\n", " return np.array([-np.sum(u[5:])+np.sum(u*np.exp(a*u+b*np.ones(12))/(1+np.exp(a*u+b*np.ones(12)))),\n", " -7+np.sum(np.exp(a*u+b*np.ones(12))/(1+np.exp(a*u+b*np.ones(12))))])\n", "\n", "def ddf(x):\n", " a, b = x[0], x[1]\n", " return np.array([[np.sum( (u*np.exp(a*u+b*np.ones(12)))**2/(1+np.exp(a*u+b*np.ones(12)))**2 ), \n", " np.sum( (u*np.exp(a*u+b*np.ones(12)))*(np.ones(12)-u+np.exp(a*u+b*np.ones(12)))/(1+np.exp(a*u+b*np.ones(12)))**2 )], \n", " [np.sum( (u*np.exp(a*u+b*np.ones(12)))*(np.ones(12)-u+np.exp(a*u+b*np.ones(12)))/(1+np.exp(a*u+b*np.ones(12)))**2 ), \n", " np.sum( (np.exp(a*u+b*np.ones(12)))**2/(1+np.exp(a*u+b*np.ones(12)))**2 )]])" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The parameters are: 1.723719255 -4.43435773691\n" ] } ], "source": [ "x0 = np.array([0.5, 0.5])\n", "tol = 1e-8\n", "\n", "x = newton(f, df, ddf, x0, tol, 100)\n", "a, b = x[0,-1], x[1,-1]\n", "\n", "print \"The parameters are:\", a, b\n", "\n", "def prob(t):\n", " return np.exp(a*t+b)/(1+np.exp(a*t+b))\n", "\n", "tt = np.linspace(0,5,100)\n", "yy = prob(tt)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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