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@SqrtMinusOne
Last active October 20, 2020 07:04
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Метод градиентного спуска
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Метод градиентного спуска\n",
"Решаемая задача - поиск локального минимума функции $f(x): \\mathbb{R}^n \\rightarrow \\mathbb{R}$\n",
"## Описание метода\n",
"Основная идея - использование градиента для движения в направлении наискорейшего спуска \n",
"$\\vec{x} = (x_1, \\ldots, x_n)$ \n",
"$\\nabla f(\\vec{x}) = ( \\frac {\\partial f} {\\partial x_1}, ..., \\frac {\\partial f} {\\partial x_n} )$ - градиент \n",
"Шаг метода выглядит следующим образом: \n",
"$\\vec{x}^{[i+1]} = \\vec{x}^{[i]} - \\lambda^{[i]} \\bullet \\nabla f(\\vec{x}^{[i]})$ \n",
"Здесь $\\lambda^{[i]}$ - скорость градиентного спуска. Её можно выбрать различными способами:\n",
"* $\\lambda^{[i]} = \\textrm{const}$. В этом случае алгоритм может расходится\n",
"* Скорость убывает в процессе спуска\n",
"* Скорость гарантирует наискорейший спуск \n",
"\n",
"##### Критерий остановки\n",
"Есть несколько вариантов задания критерия остановки: \n",
"$|\\vec{x}^{[i+1]} - \\vec{x}^{[i]}| < \\varepsilon$ \n",
"$|f(\\vec{x}^{[i+1]}) - f(\\vec{x}^{[i]})| < \\varepsilon$ \n",
"$|\\nabla f({x}^{[i+1]})| < \\varepsilon$ \n",
"Очевидная проблема первых двух критериев в том, что при уменьшении шага придется уменьшать $\\varepsilon$. Третий критерий может просто никогда не сработать, если метод не сходится\n",
"\n",
"### Метод градиентного спуска с постоянным шагом\n",
"В данном случае скорость спуска задаётся константой. Рассмотрим следующую функцию: $f(x,y) = x^2 + 10y^2$. \n",
"Частные производные такой функции: \n",
"$\\frac {\\partial f}{\\partial x} = 2x$ \n",
"$\\frac {\\partial f}{\\partial y} = 20y$ \n",
"В данном случае трехмерный рисунок будет нерепрезентативен, поэтому построим двумерный график с изолиниями (contour plot)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib import pyplot as plt\n",
"import numpy as np\n",
"%matplotlib inline\n",
"plt.style.use('dark_background')\n",
"\n",
"f = lambda x, y : np.power(x, 2) + 10 * np.power(y, 2)\n",
"\n",
"plt.figure(facecolor='0.1', figsize=(10, 5))\n",
"X = np.arange(-2, 2, 0.01)\n",
"Y = np.arange(-1, 1, 0.01)\n",
"levels = np.arange(0.1, 4, 0.5)\n",
"X, Y = np.meshgrid(X, Y)\n",
"Z = f(X, Y)\n",
"plt.contour(X, Y, Z, levels=levels)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Теперь реализуем вычисление корня методом градиентного спуска"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from numpy import linalg\n",
"\n",
"def grad_descent_const(grad, x, y, eps, a):\n",
" \"\"\"\n",
" Градиентный спуск с постоянным коэффициентом\n",
" grad - функция градиента\n",
" x, y - начальная точка\n",
" eps - точность\n",
" a - коэффициент\n",
" Возвращаемые значения - путь, результат, особые точки (ни одной в данном случае)\n",
" \"\"\"\n",
" X = np.array([x, y])\n",
" cnt = 0\n",
" path = [X]\n",
" while True:\n",
" X1 = X - a * grad(*X)\n",
" path.append(X1)\n",
" if (linalg.norm(grad(*X)) < eps\n",
" or cnt > 1000):\n",
" break\n",
" cnt += 1\n",
" X = X1\n",
" return path, X1, None\n",
"\n",
"def plot_grad_descent(grad_descent_func, grad, x, y, **kwargs):\n",
" path, res, pts = grad_descent_func(grad, x, y, **kwargs)\n",
" p_X, p_Y = [p[0] for p in path], [p[1] for p in path] \n",
" plt.figure(facecolor='0.1', figsize=(10, 5))\n",
" plt.scatter(*res, color='r')\n",
" if pts:\n",
" x, y = [p[0] for p in pts], [p[1] for p in pts]\n",
" plt.scatter(x, y, color='w', marker='o')\n",
" plt.contour(X, Y, Z, levels=levels)\n",
" plt.plot(p_X, p_Y, color='w')\n",
" return path, res, pts\n",
"\n",
"dfdx = lambda x, y: 2 * x\n",
"dfdy = lambda x, y: 20 * y\n",
"gradient = lambda x, y: np.array([dfdx(x, y), dfdy(x, y)])\n",
"plot_grad_descent(grad_descent_const, gradient, -1.5, -0.5, eps=0.1, a=0.1)\n",
"pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Как видно, с такими параметрами польза метода сомнительна - нет сходимости. Поробуем немного уменьшить размер шага"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_grad_descent(grad_descent_const, gradient, -1.5, -0.5, eps=0.0001, a=0.09)\n",
"pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Сравним различные варианты задания отрезка"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Iterations</th>\n",
" <th>Precicion</th>\n",
" <th>eps</th>\n",
" <th>a</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1003</td>\n",
" <td>0.500000</td>\n",
" <td>0.0001</td>\n",
" <td>0.10</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>56</td>\n",
" <td>0.000027</td>\n",
" <td>0.0001</td>\n",
" <td>0.09</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>62</td>\n",
" <td>0.000036</td>\n",
" <td>0.0001</td>\n",
" <td>0.08</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>71</td>\n",
" <td>0.000039</td>\n",
" <td>0.0001</td>\n",
" <td>0.07</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>83</td>\n",
" <td>0.000042</td>\n",
" <td>0.0001</td>\n",
" <td>0.06</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>100</td>\n",
" <td>0.000044</td>\n",
" <td>0.0001</td>\n",
" <td>0.05</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>126</td>\n",
" <td>0.000045</td>\n",
" <td>0.0001</td>\n",
" <td>0.04</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>169</td>\n",
" <td>0.000046</td>\n",
" <td>0.0001</td>\n",
" <td>0.03</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>255</td>\n",
" <td>0.000047</td>\n",
" <td>0.0001</td>\n",
" <td>0.02</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Iterations Precicion eps a\n",
"0 1003 0.500000 0.0001 0.10\n",
"1 56 0.000027 0.0001 0.09\n",
"2 62 0.000036 0.0001 0.08\n",
"3 71 0.000039 0.0001 0.07\n",
"4 83 0.000042 0.0001 0.06\n",
"5 100 0.000044 0.0001 0.05\n",
"6 126 0.000045 0.0001 0.04\n",
"7 169 0.000046 0.0001 0.03\n",
"8 255 0.000047 0.0001 0.02"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import pandas as pd\n",
"from IPython.display import display\n",
"a_r = np.arange(0.1, 0.01, -0.01)\n",
"data = [grad_descent_const(gradient, -1.5, -0.5, eps=0.0001, a=a) for a in a_r]\n",
"data = [[len(path), linalg.norm(X)] for path, X, pts in data]\n",
"df = pd.DataFrame(data, columns=['Iterations', 'Precicion'])\n",
"df['eps'] = pd.Series([0.0001] * len(a_r))\n",
"df['a'] = pd.Series(a_r)\n",
"display(df)\n",
"pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Как можно заметить, как только метод начинает сходится, точность самая высокая. Таким образом, лучше найти максимальное значение константы, при котором метод начинает сходится\n",
"\n",
"### Градиентный метод с дроблением шага\n",
"Для каждого шага можно записать условие сходимости \n",
"$f(\\vec{x}^{[i+1]})=f(\\vec{x}^{[i]} - \\lambda^{[i]} \\bullet \\nabla f(\\vec{x}^{[i]})) \\leq f(\\vec{x}^{[i]}) - \\varepsilon \\lambda^{[i]} |\\nabla f(\\vec{x}^{[i]})|^2$ \n",
"Где $\\varepsilon \\in (0,1)$ \n",
"На каждом шаге выполняется проверка условия. Если условие выполняется, то алгоритм продолжается. Если нет - то шаг делится на число $\\delta \\in (0,1)$, пока условие не выполнится. После этого проверка продолжается"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"def grad_descent_splt(grad, x, y, f, eps, e, d, a):\n",
" \"\"\"\n",
" Градиентный метод с дроблением шага\n",
" grad - функция градиента\n",
" x, y - начальная точка\n",
" eps - точность для условия остановки\n",
" e - коэффициент для проверки условия сходимости\n",
" d - коэффициент дробления шага\n",
" a - начальное значение коэффициента\n",
" f - анализируемая функция\n",
" Возвращаемые значения - путь, результат, особые точки\n",
" \"\"\"\n",
" X = np.array([x, y])\n",
" cnt = 0\n",
" path = [X]\n",
" pts = []\n",
" while True:\n",
" while True:\n",
" check = f(*(X - a * grad(*X))) <= f(*X) - e * a * f(*X)**2\n",
" if check:\n",
" break\n",
" pts.append(X)\n",
" a *= d\n",
" X1 = X - a * grad(*X)\n",
" path.append(X1)\n",
" if (linalg.norm(grad(*X)) < eps\n",
" or cnt > 1000):\n",
" break\n",
" cnt += 1\n",
" X = X1\n",
" return path, X1, pts"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_grad_descent(grad_descent_splt, gradient, -1.5, -0.5, eps=0.0001, e=0.1, d=0.95, a=0.1, f=f)\n",
"pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"С коэффициентом 0.1 метод с постоянным шагом бы не сошёлся, но в данном случае в одном месте произведено уменьшение коэффициента, и метод начал сходится. \n",
"Выполним вычисление с разными параметрами"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>eps</th>\n",
" <th>e</th>\n",
" <th>d</th>\n",
" <th>a</th>\n",
" <th>Iterations</th>\n",
" <th>Precision</th>\n",
" <th>Split times</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0.0001</td>\n",
" <td>0.95</td>\n",
" <td>0.95</td>\n",
" <td>1.0</td>\n",
" <td>58</td>\n",
" <td>0.000035</td>\n",
" <td>48</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0.0001</td>\n",
" <td>0.10</td>\n",
" <td>0.95</td>\n",
" <td>1.0</td>\n",
" <td>1003</td>\n",
" <td>0.000007</td>\n",
" <td>45</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0.0001</td>\n",
" <td>0.10</td>\n",
" <td>0.10</td>\n",
" <td>1.0</td>\n",
" <td>453</td>\n",
" <td>0.000048</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.0001</td>\n",
" <td>0.10</td>\n",
" <td>0.95</td>\n",
" <td>0.1</td>\n",
" <td>118</td>\n",
" <td>0.000004</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.0001</td>\n",
" <td>0.90</td>\n",
" <td>0.95</td>\n",
" <td>0.1</td>\n",
" <td>57</td>\n",
" <td>0.000040</td>\n",
" <td>3</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" eps e d a Iterations Precision Split times\n",
"0 0.0001 0.95 0.95 1.0 58 0.000035 48\n",
"1 0.0001 0.10 0.95 1.0 1003 0.000007 45\n",
"2 0.0001 0.10 0.10 1.0 453 0.000048 2\n",
"3 0.0001 0.10 0.95 0.1 118 0.000004 1\n",
"4 0.0001 0.90 0.95 0.1 57 0.000040 3"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"params = pd.DataFrame({\n",
" \"eps\": [0.0001] * 5,\n",
" \"e\": [0.95, 0.1, 0.1, 0.1, 0.9],\n",
" \"d\": [0.95, 0.95, 0.1, 0.95, 0.95],\n",
" \"a\": [1, 1, 1, 0.1, 0.1]\n",
"})\n",
"iteration, precision, split = [], [], []\n",
"for index, row in params.iterrows():\n",
" path, res, pts = grad_descent_splt(gradient, -1.5, -0.5, eps=row['eps'],\n",
" e=row['e'], d=row['d'], a=row['a'], f=f)\n",
" split.append(len(pts))\n",
" iteration.append(len(path))\n",
" precision.append(linalg.norm(res))\n",
"\n",
"params['Iterations'] = pd.Series(iteration)\n",
"params['Precision'] = pd.Series(precision)\n",
"params['Split times'] = pd.Series(split)\n",
"display(params)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Метод наискорейшего спуска\n",
"В этом способе длина шага выбирается таким образом, чтобы движение по лучу заканчивалось в точке минимума функции. \n",
"$\\textrm{argmin}_x f(x) \\in \\{ x | \\forall y: f(y) \\geq f(y) \\}$ - аргумент минимизации \n",
"С использованием этой функции можно записать следующее условие: \n",
"$\\alpha^{[i]} = \\textrm{argmin}_{x \\in [0, \\infty)} (f(\\vec{x}^{[i]} - \\lambda^{[i]} \\bullet \\nabla f(\\vec{x}^{[i]})))$ \n",
"Чтобы выбрать значение миниммального аргумента, нужно найти локальный экстремум функции на луче. Это можно сделать более эффективно, например, методом золотого сечения."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Iterations: 21, precision: 9.789814634458175e-05\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import pdb\n",
"\n",
"def grad_descent_spd(grad, x, y, eps, f):\n",
" \"\"\"\n",
" Градиентный спуск с выбором коэффициента для наискорейшего спуска\n",
" grad - функция градиента\n",
" x, y - начальная точка\n",
" eps - точность\n",
" f - функция\n",
" Возвращаемые значения - путь, результат, особые точки (ни одной в данном случае)\n",
" \"\"\"\n",
" X = np.array([x, y])\n",
" cnt = 0\n",
" path = [X]\n",
" while True:\n",
" a_r = np.arange(0, 1, eps)\n",
" f_r = [f(*(X - a * grad(*X))) for a in a_r]\n",
" a = a_r[np.argmin(f_r)]\n",
" X1 = X - a * grad(*X)\n",
" path.append(X1)\n",
" if (linalg.norm(grad(*X)) < eps\n",
" or cnt > 1000):\n",
" break\n",
" cnt += 1\n",
" X = X1\n",
" return path, X1, None\n",
"\n",
"path, res, pts = plot_grad_descent(grad_descent_spd, gradient, -1.5, -0.5, eps=0.001, f=f)\n",
"print(f\"Iterations: {len(path)}, precision: {linalg.norm(res)}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Как видно, в данном случае шаг выбирается действительно наиболее эффективным методом. Также направления шагов ортогональны друг другу. Однако решение задачи оптимизации отнимает существенную часть ресурсов., что для некоторых функций сам метод наискорейшего спуска может быть не намного эффективнее, чем более простые методы"
]
}
],
"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": "3.6.7"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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