{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib notebook\n",
"from mpl_toolkits.mplot3d import axes3d\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Method of Steepest Descent"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We use the method of Steepest Descent to find the coordinates $\\vec{x} = (x_1, x_2, ... x_n)$ that minimizes the function \n",
"\n",
"$$\n",
"g: \\mathbb{R}^n \\rightarrow \\mathbb{R}\n",
"$$\n",
"\n",
"To do this, we use the gradient of the function:\n",
"\n",
"$$\n",
"\\nabla g(\\vec{x}) = (\\frac{\\partial g}{\\partial x_1}, \\frac{\\partial g}{\\partial x_2}, ... , \\frac{\\partial g}{\\partial x_n})\n",
"$$\n",
"\n",
"which has two interesting properties for our purposes. Much like the derivative of a function of 1 variable, the gradient is zero when $g$ is at a maximum or a minimum. Also, the directional derivative of $g$ at $\\vec{x}$ in a given direction, specified by the unit vector $\\vec{v}$ is given by\n",
"\n",
"$$\n",
"D_v g(\\vec{x}) = \\lim_{h \\rightarrow 0} \\frac{1}{h} [g(\\vec{x} + h\\vec{v}) - g(\\vec{x})] = \\vec{v}^t \\cdot \\nabla g(\\vec{x})\n",
"$$\n",
"\n",
"Clearly if $\\vec{v}$ is chosen to be in the direction of $\\nabla g$, the change in $g$ is maximized. Therefore if we want to move towards the minimum of $g$ step by step, we should move in the direction of $-\\nabla g$.\n",
"\n",
"Assume we start from a point (the red dot on the graph below), our first approximation of where the minimum is, $\\vec{x}^{(0)}$. To find the next point (the black arrow), $\\vec{x}^{(1)}$, we move in the opposite direction of the gradient vector, multiplied by an amount that is proportional to $\\alpha$.\n",
"\n",
"$$\n",
"\\vec{x}^{(1)} = \\vec{x}^{(0)} - \\alpha \\nabla g (\\vec{x}^{(0)})\n",
"$$\n",
"\n",
"To find a proper value for $\\alpha$, we can construct another function\n",
"\n",
"$$\n",
"h(\\alpha) = g(\\vec{x}^{(0)} - \\alpha \\nabla g(\\vec{x}^{(0)}))\n",
"$$\n",
"\n",
"and minimize it by taking its derivative. This, in general, is very costly. What we do instead is, we choose 3 numbers $\\alpha_1 < \\alpha_2 < \\alpha_3$, which we hope are close to the minimum of $h$ and form a quadratic polynomial $P(\\alpha)$ that interpolates at $\\alpha_1$, $\\alpha_2$, and $\\alpha_3$.\n",
"\n",
"For example, we choose $\\alpha_1 = 0$. Then we find $\\alpha_3$ such that $h(\\alpha_3) < h(\\alpha_1)$. Start by setting $\\alpha_3 = 1$. Then we set $\\alpha_2 = \\alpha_3 / 2$. We find the polynomial $P(\\alpha)$ that passes through these three points. The minimum of $P(\\alpha)$ in the interval $[\\alpha_1, \\alpha_3]$, called it $\\hat{\\alpha}$, occures either at the only critical point of $P$ or at the end-point $P(\\alpha_3)$, since $P(\\alpha_3) = h(\\alpha_3) < h(\\alpha_1) = P(\\alpha_1)$. We then move to the point \n",
"\n",
"$$\n",
"\\vec{x}^{(1)} = \\vec{x}^{(0)} - \\hat{\\alpha} \\nabla g (\\vec{x}^{(0)})\n",
"$$\n",
"\n",
"Note: A straight-forward way to find the interpolation $P(\\alpha)$ between points, 0, $\\alpha_2$, and $\\alpha_3$ is Newton's forward divded-difference formula (which we didn't talk about in the class).\n",
"\n",
"$$\n",
"P(\\alpha) = g_1 + h_1 \\alpha + h_3 \\alpha (\\alpha - \\alpha_2)\n",
"$$\n",
"\n",
"where\n",
"\n",
"$$\n",
"g_1 = g(\\vec{x}^{(0)}) \\\\\n",
"g_2 = g(\\vec{x}^{(0)} - \\alpha_2 \\vec{z}) \\\\\n",
"g_3 = g(\\vec{x}^{(0)} - \\alpha_3 \\vec{z}) \\\\\n",
"\\vec{z} = \\nabla g(\\vec{x}^{(0)}) \\\\\n",
"h_1 = \\frac{g_2 - g_1}{\\alpha_2} \\\\\n",
"h_2 = \\frac{g_3 - g_2}{\\alpha_3 - \\alpha_2} \\\\\n",
"h_3 = \\frac{h_2 - h_1}{\\alpha_3} \\\\\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
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