{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 4. Penalty Methods\n", "For this training course we'll be using the optimization routines in SciPy." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import scipy.optimize as opt\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also need to define a callback function so that we can plot the optimization steps." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def callback(x):\n", " global xprev\n", " plt.plot([xprev[0],x[0]],[xprev[1],x[1]],'b.-')\n", " xprev = x" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4.1 Quadratic Penalty Method\n", "\n", "Recall that the quadratic penalty function, for a single equality constraint $c$, is given by\n", "\n", "$\n", "\\begin{align}\n", "\\Phi_{\\mu}(x) = f(x) + \\frac{1}{2\\mu} \\left(c(x)\\right)^2\n", "\\end{align}\n", "$\n", "\n", "where $\\mu >0$ is a penalty parameter. The gradient for the quadratic penalty is\n", "\n", "$\n", "\\begin{align}\n", "\\nabla \\Phi_{\\mu}(x) = \\nabla f(x) + \\frac{1}{\\mu}c(x)\\nabla c(x)\n", "\\end{align}\n", "$\n", "\n", "and the Hessian is given by\n", "\n", "$\n", "\\begin{align}\n", "\\nabla^2 \\Phi_{\\mu}(x) = \\nabla^2 f(x) + \\frac{1}{\\mu}c(x)\\nabla^2 c(x) + \\frac{1}{\\mu}\\nabla c(x)\\nabla c(x)^T\n", "\\end{align}\n", "$\n", "\n", "#### Coding Task:\n", "\n", "For different fixed values of $\\mu$, apply your favourite SciPy optimization routine to minimize $\\Phi_{\\mu}(x)$ for the following objectives:\n", "\n", "1. $f(x) = \\frac{1}{2}(ax_1^2 + x_2^2) \\qquad\\qquad\\qquad$ with $\\; c(x) = x_1 + x_2^2 - 1$ \n", "\n", "2. $f(x) = (a - x_1)^2 + b(x_2 - x_1^2)^2 \\qquad$ with $\\; c(x) = x_1 + x_2^2 - 1$ \n", "\n", "starting at $(x_1,x_2) = (1,1)$ for suitable choices of parameters $a,b$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " fun: 0.39780167284494916\n", " jac: array([6.47338781, 6.94096585])\n", " message: 'Optimization terminated successfully.'\n", " nfev: 4\n", " nhev: 0\n", " nit: 3\n", " njev: 7\n", " status: 0\n", " success: True\n", " x: array([0.71864146, 0.52734093])\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Parameters\n", "a = 1\n", "mu = 0.01\n", "\n", "# Initial guess\n", "x0 = np.array([1,1])\n", "\n", "# Objective function, gradient and Hessian\n", "obj = lambda x: 0.5*(a*x[0]**2+x[1]**2) \n", "gobj = lambda x: np.array([a*x[0],x[1]]) \n", "hobj = lambda x: np.array([[a,0],[0,1]])\n", "\n", "# Constraint function, gradient and Hessian\n", "con = lambda x: x[0]+x[1]**2-1\n", "gcon = lambda x: np.array([1,2*x[1]])\n", "hcon = lambda x: np.array([[0,0],[0,2]])\n", "\n", "# Penalty function, gradient and Hessian\n", "fun = lambda x: obj(x) + 0.5*(1/mu)*(con(x))**2\n", "jac = lambda x: gobj(x) + (1/mu)*con(x)*gcon(x)\n", "hess = lambda x: hobj(x) + (1/mu)*con(x)*hcon(x) + (1/mu)*gcon(x).dot(gcon(x).T)\n", "\n", "# Plot function contours\n", "plt.figure()\n", "X = np.linspace(-1,1.5)\n", "Y = np.linspace(-a,a+1)\n", "Z = np.meshgrid(X,Y)\n", "plt.contour(X,Y,fun(Z),50)\n", "plt.colorbar()\n", "\n", "# Plot constraint\n", "plt.contour(X,Y,con(Z),[0],colors='r')\n", "\n", "# Call SciPy's Newton-CG\n", "xprev = x0 # for plotting\n", "res = opt.minimize(fun, x0, method='Newton-CG', jac=jac, tol=1e-1, callback=callback)\n", "\n", "# Print results and show plot\n", "print(res)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " fun: 0.18239998089638693\n", " jac: array([-4.04683586, 16.99693692])\n", " message: 'Optimization terminated successfully.'\n", " nfev: 4\n", " nhev: 0\n", " nit: 3\n", " njev: 7\n", " status: 0\n", " success: True\n", " x: array([0.74747194, 0.54537912])\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Parameters\n", "a = 1\n", "b = 100\n", "mu = 0.01\n", "\n", "# Initial guess\n", "x0 = np.array([1,1])\n", "\n", "# Objective function, gradient and Hessian\n", "obj = lambda x: (a-x[0])**2 + b*(x[1]-x[0]**2)**2\n", "gobj = lambda x: np.array([-2*(a-x[0])-2*x[0]*2*b*(x[1]-x[0]**2),2*b*(x[1]-x[0]**2)])\n", "hobj = lambda x: np.array([[2-4*b*x[1]+12*b*x[0]**2,-4*b*x[0]],[-4*b*x[0],2*b]])\n", "\n", "# Constraint function, gradient and Hessian\n", "con = lambda x: x[0]+x[1]**2-1\n", "gcon = lambda x: np.array([1,2*x[1]])\n", "hcon = lambda x: np.array([[0,0],[0,2]])\n", "\n", "# Penalty function, gradient and Hessian\n", "fun = lambda x: obj(x) + 0.5*(1/mu)*(con(x))**2\n", "jac = lambda x: gobj(x) + (1/mu)*con(x)*gcon(x)\n", "hess = lambda x: hobj(x) + (1/mu)*con(x)*hcon(x) + (1/mu)*gcon(x).dot(gcon(x).T)\n", "\n", "# Plot function contours\n", "plt.figure()\n", "X = np.linspace(-1,1.5)\n", "Y = np.linspace(-a,a+1)\n", "Z = np.meshgrid(X,Y)\n", "plt.contour(X,Y,fun(Z),50)\n", "plt.colorbar()\n", "\n", "# Plot constraint\n", "plt.contour(X,Y,con(Z),[0],colors='r')\n", "\n", "# Call SciPy's Newton-CG\n", "xprev = x0 # for plotting\n", "res = opt.minimize(fun, x0, method='Newton-CG', jac=jac, tol=1e-1, callback=callback)\n", "\n", "# Print results and show plot\n", "print(res)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4.2 Augmented Lagrangian Method\n", "\n", "Recall that the augmented Lagrangian function, for a single equality constraint $c$, is given by\n", "\n", "$\n", "\\begin{align}\n", "\\Psi_{u,\\mu}(x) = f(x) - uc(x) + \\frac{1}{2\\mu} \\left(c(x)\\right)^2\n", "\\end{align}\n", "$\n", "\n", "where $u,\\mu >0$ are auxiliary parameters. The gradient for the augmented Lagrangian is\n", "\n", "$\n", "\\begin{align}\n", "\\nabla \\Psi_{u,\\mu}(x) = \\nabla f(x) - u\\nabla c(x) + \\frac{1}{\\mu}c(x)\\nabla c(x)\n", "\\end{align}\n", "$\n", "\n", "and the Hessian is given by\n", "\n", "$\n", "\\begin{align}\n", "\\nabla^2 \\Psi_{u,\\mu}(x) = \\nabla^2 f(x) -u\\nabla^2 c(x) + \\frac{1}{\\mu}c(x)\\nabla^2 c(x) + \\frac{1}{\\mu}\\nabla c(x)\\nabla c(x)^T\n", "\\end{align}\n", "$\n", "\n", "#### Coding Task:\n", "\n", "For different fixed values of $u,\\mu$, apply your favourite SciPy optimization routine to minimize $\\Psi_{u,\\mu}(x)$ for the following objectives:\n", "\n", "1. $f(x) = \\frac{1}{2}(ax_1^2 + x_2^2) \\qquad\\qquad\\qquad$ with $\\; c(x) = x_1 + x_2^2 - 1$ \n", "\n", "2. $f(x) = (a - x_1)^2 + b(x_2 - x_1^2)^2 \\qquad$ with $\\; c(x) = x_1 + x_2^2 - 1$ \n", "\n", "starting at $(x_1,x_2) = (1,1)$ for suitable choices of parameters $a,b$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " fun: 0.3750014484872093\n", " jac: array([0.01993814, 0.04104253])\n", " message: 'Optimization terminated successfully.'\n", " nfev: 5\n", " nhev: 0\n", " nit: 4\n", " njev: 13\n", " status: 0\n", " success: True\n", " x: array([0.49910288, 0.70876198])\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Parameters\n", "a = 1\n", "u = 0.5\n", "mu = 1\n", "\n", "# Initial guess\n", "x0 = np.array([1,1])\n", "\n", "# Objective function, gradient and Hessian\n", "obj = lambda x: 0.5*(a*x[0]**2+x[1]**2) \n", "gobj = lambda x: np.array([a*x[0],x[1]]) \n", "hobj = lambda x: np.array([[a,0],[0,1]])\n", "\n", "# Constraint function, gradient and Hessian\n", "con = lambda x: x[0]+x[1]**2-1\n", "gcon = lambda x: np.array([1,2*x[1]])\n", "hcon = lambda x: np.array([[0,0],[0,2]])\n", "\n", "# Penalty function, gradient and Hessian\n", "fun = lambda x: obj(x) - u*con(x) + 0.5*(1/mu)*(con(x))**2\n", "jac = lambda x: gobj(x) - u*gcon(x) + (1/mu)*con(x)*gcon(x)\n", "hess = lambda x: hobj(x) - u*hcon(x) + (1/mu)*con(x)*hcon(x) + (1/mu)*gcon(x).dot(gcon(x).T)\n", "\n", "# Plot function contours\n", "plt.figure()\n", "X = np.linspace(-1,1.5)\n", "Y = np.linspace(-a,a+1)\n", "Z = np.meshgrid(X,Y)\n", "plt.contour(X,Y,fun(Z),50)\n", "plt.colorbar()\n", "\n", "# Plot constraint\n", "plt.contour(X,Y,con(Z),[0],colors='r')\n", "\n", "# Call SciPy's Newton-CG\n", "xprev = x0 # for plotting\n", "res = opt.minimize(fun, x0, method='Newton-CG', jac=jac, tol=1e-1, callback=callback)\n", "\n", "# Print results and show plot\n", "print(res)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " fun: -0.11057903094430657\n", " jac: array([ 2.35316041, -1.09476021])\n", " message: 'Optimization terminated successfully.'\n", " nfev: 3\n", " nhev: 0\n", " nit: 2\n", " njev: 5\n", " status: 0\n", " success: True\n", " x: array([0.91667042, 0.83995855])\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Parameters\n", "a = 1\n", "b = 100\n", "u = 0.5\n", "mu = 1\n", "\n", "# Initial guess\n", "x0 = np.array([1,1])\n", "\n", "# Objective function, gradient and Hessian\n", "obj = lambda x: (a-x[0])**2 + b*(x[1]-x[0]**2)**2\n", "gobj = lambda x: np.array([-2*(a-x[0])-2*x[0]*2*b*(x[1]-x[0]**2),2*b*(x[1]-x[0]**2)])\n", "hobj = lambda x: np.array([[2-4*b*x[1]+12*b*x[0]**2,-4*b*x[0]],[-4*b*x[0],2*b]])\n", "\n", "# Constraint function, gradient and Hessian\n", "con = lambda x: x[0]+x[1]**2-1\n", "gcon = lambda x: np.array([1,2*x[1]])\n", "hcon = lambda x: np.array([[0,0],[0,2]])\n", "\n", "# Penalty function, gradient and Hessian\n", "fun = lambda x: obj(x) - u*con(x) + 0.5*(1/mu)*(con(x))**2\n", "jac = lambda x: gobj(x) - u*gcon(x) + (1/mu)*con(x)*gcon(x)\n", "hess = lambda x: hobj(x) - u*hcon(x) + (1/mu)*con(x)*hcon(x) + (1/mu)*gcon(x).dot(gcon(x).T)\n", "\n", "# Plot function contours\n", "plt.figure()\n", "X = np.linspace(-1,1.5)\n", "Y = np.linspace(-a,a+1)\n", "Z = np.meshgrid(X,Y)\n", "plt.contour(X,Y,fun(Z),50)\n", "plt.colorbar()\n", "\n", "# Plot constraint\n", "plt.contour(X,Y,con(Z),[0],colors='r')\n", "\n", "# Call SciPy's Newton-CG\n", "xprev = x0 # for plotting\n", "res = opt.minimize(fun, x0, method='Newton-CG', jac=jac, tol=1e-1, callback=callback)\n", "\n", "# Print results and show plot\n", "print(res)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.8.7" } }, "nbformat": 4, "nbformat_minor": 4 }