{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Preconditioned steepest descent"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## [Michel Bierlaire](https://people.epfl.ch/michel.bierlaire), EPFL."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We implement the preconditioned steepest descent algorithm to find a local minimum. This is Algorithm 11.1 in Bierlaire (2015) Optimization: principles and algorithms, EPFL Press."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def preconditionedSteepestDescent(fct, x0, D, eps, maxiter = 100):\n",
" \"\"\"\n",
" :param fct: function that returns the value of the function, its gradient and hessian\n",
" :type fct: f, g, H = fct(x)\n",
" \n",
" :param x0: starting point for the algorithm. \n",
" :type x0: 1D numpy.array\n",
" \n",
" :param D: preconditioner\n",
" :type D: 2D numpy.array\n",
" \n",
" :param eps: precision to reach.\n",
" :type eps: float.\n",
" \n",
" :param maxiter: maximum number of iterations. Default: 100.\n",
" :type maxiter: int\n",
" \n",
" :return: iterates, message, where iterates is the list of iterates generated by the algorithm, and message the reason why it stopped. \n",
" \"\"\"\n",
"\n",
" # All the iterates are stored for future display.\n",
" iterates = [x0]\n",
" k = 0\n",
" x = x0\n",
" f, g, H = fct(x)\n",
" while np.linalg.norm(g) > eps and k <= maxiter:\n",
" d = - D @ g\n",
" alpha = - np.inner(d, g) / np.inner(d, H @ d)\n",
" xplus = x + alpha * d\n",
" iterates.append(xplus)\n",
" x = xplus\n",
" f, g, H = fct(x)\n",
" k = k + 1\n",
" if np.linalg.norm(g) <= eps:\n",
" return iterates, f'Required precision has been reached: {np.linalg.norm(g)} <= {eps}'\n",
" else:\n",
" return iterates, f'Maximum number of iterations reached: {maxiter}' "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Consider the function $f:\\mathbb{R}^2 \\to \\mathbb{R}$ defined as \\\\[ f(x_1,x_2)= x_1^2 + 11 x_2^2 + x_1 x_2 \\\\]\n",
"for which the gradient is \\\\[ \\nabla f(x_1,x_2) = \\left( \\begin{array}{c} 2x_1+x_2 \\\\ 22x_2+x_1 \\end{array} \\right) \\\\] and the hessian is \\\\[ \\nabla^2 f(x_1,x_2) = \\left(\\begin{array}{cc} 2 & 1 \\\\ 1 & 22 \\end{array}\\right).\\\\]\n",
"\n",
"We apply the steepest descent method with initial value $x_0=(4,1)$, and $\\varepsilon = 10^{-7}$."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def fct(x):\n",
" f = x[0]**2 + 11 * x[1]**2 + x[0] * x[1]\n",
" g = np.array([2 * x[0] + x[1], 22 * x[1] + x[0]])\n",
" H = np.array([[2, 1], [1, 22]])\n",
" return f, g, H\n",
"\n",
"x0 = np.array([4, 1])\n",
"eps = 1.0e-7"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, we apply without preconditioning the function. The preconditioner is therefore the identity matrix."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Required precision has been reached: 9.617831190484184e-08 <= 1e-07\n",
"Number of iterations: 41\n"
]
}
],
"source": [
"D = np.eye(2, 2)\n",
"iterates, message = preconditionedSteepestDescent(fct, x0, D, eps)\n",
"print(message)\n",
"niter1 = len(iterates) - 1\n",
"print(f'Number of iterations: {niter1}')"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits import mplot3d\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# Wrapper to generate data for the plot.\n",
"def fplot(x, y):\n",
" npx = np.array([x, y])\n",
" return fct(npx)[0]"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
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\n",
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