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Unconstrained Optimization Methods.ipynb
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{
"nbformat": 4,
"nbformat_minor": 5,
"metadata": {
"hide_input": false,
"kernelspec": {
"display_name": "Python 3.8 (/usr/local/opt/python@3.8/bin/python3.8)",
"language": "python",
"name": "python3.8"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.9"
},
"colab": {
"name": "Unconstrained Optimization Methods.ipynb",
"provenance": [],
"include_colab_link": true
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/iwasakishuto/e5451680cf987e60de13bc358fc1f7a0/unconstrained-optimization-methods.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"id": "6a26250e"
},
"source": [
"from typing import Callable, List, Optional, Tuple\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from matplotlib.axes import Axes\n",
"from matplotlib.figure import Figure"
],
"id": "6a26250e",
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "27629afd"
},
"source": [
"# (制約なし)最適化問題"
],
"id": "27629afd"
},
{
"cell_type": "markdown",
"metadata": {
"id": "bcea8e8a"
},
"source": [
" 以下の最適化問題を初期値 $(x_1,x_2) = (0,1)$ として、**最急降下法**, **ニュートン法**, **準ニュートン法** で解く。"
],
"id": "bcea8e8a"
},
{
"cell_type": "markdown",
"metadata": {
"id": "0dfb87dd"
},
"source": [
"$$\\underbrace{\\min}_{(x_1,x_2)} (x_1-3)^2 +x_1x_2 +\\frac{1}{16}x_2^4 +(x_2-1)^2$$"
],
"id": "0dfb87dd"
},
{
"cell_type": "code",
"metadata": {
"id": "6013b07a"
},
"source": [
"ITERATION = 15\n",
"EPSILON = 1e-1\n",
"INITIAL = (0, 1)"
],
"id": "6013b07a",
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "dce05329"
},
"source": [
"f = lambda x1, x2: (x1 - 3) ** 2 + x1 * x2 + 1 / 16 * (x2 ** 4) + (x2 - 1) ** 2"
],
"id": "dce05329",
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "26e526e3"
},
"source": [
"$$f(x_1,x_2) = (x_1-3)^2 +x_1x_2 +\\frac{1}{16}x_2^4 +(x_2-1)^2$$"
],
"id": "26e526e3"
},
{
"cell_type": "code",
"metadata": {
"id": "8248a0ac"
},
"source": [
"x1_min, x1_max = (-1, 4)\n",
"x2_min, x2_max = (-2, 2)\n",
"X1, X2 = np.meshgrid(\n",
" np.linspace(start=x1_min, stop=x1_max, num=100),\n",
" np.linspace(start=x2_min, stop=x2_max, num=100),\n",
")\n",
"Z = f(X1, X2)"
],
"id": "8248a0ac",
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "986f47cd"
},
"source": [
"def draw_contour(ax: Axes) -> Axes:\n",
" \"\"\"Draw contour lines of the objective function.\n",
"\n",
" Args:\n",
" ax (Axes) : An instance of ``Axes``.\n",
"\n",
" Returns:\n",
" Axes : An instance of ``Axes`` with contour lines drawn.\n",
" \"\"\"\n",
" cont = ax.contour(X1, X2, Z, 15)\n",
" cont.clabel(fmt=\"%1.1f\", fontsize=8)\n",
" ax.set_title(\n",
" \"$f(x_1,x_2) = (x_1-3)^2 +x_1x_2 + 1/16*x_2^4 +(x_2-1)^2$\", fontsize=14\n",
" )\n",
" ax.set_xlabel(\"$x_1$\")\n",
" ax.set_ylabel(\"$x_2$\")\n",
" return ax"
],
"id": "986f47cd",
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "4a2ae842",
"outputId": "201818d6-7563-4028-addb-84439fc29584"
},
"source": [
"fig, ax = plt.subplots(figsize=(8,4))\n",
"ax = draw_contour(ax)\n",
"fig.show()"
],
"id": "4a2ae842",
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"<ipython-input-6-efce75cab3f6>:3: UserWarning: Matplotlib is currently using module://ipykernel.pylab.backend_inline, which is a non-GUI backend, so cannot show the figure.\n",
" fig.show()\n"
],
"name": "stderr"
},
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 576x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "eb16ae35"
},
"source": [
"def simulation(\n",
" method: Callable[[float, float], Tuple[float, float]],\n",
" initial: Tuple[float, float] = INITIAL,\n",
" axes: Optional[Tuple[Axes, Axes]] = None,\n",
") -> Tuple[Axes, Axes]:\n",
" \"\"\"Perform numerical simulation with the given ``method``.\n",
"\n",
" Args:\n",
" method (Callable[[float, float], Tuple[float, float]]) : Optimization method.\n",
" initial (Tuple[float, float], optional) : initial values for ``x1`` and ``x2``. Defaults to ``INITIAL``.\n",
" axes (Optional[Tuple[Axes, Axes]], optional) : Two instances of ``Axes`` to draw the result. Defaults to ``None``.\n",
"\n",
" Returns:\n",
" Tuple[Axes, Axes]: Two instances of Axes with the results drawn.\n",
" \"\"\"\n",
" px1, px2 = initial\n",
"\n",
" if axes is None:\n",
" axes = plt.subplots(ncols=2, figsize=(11, 5))[1]\n",
" ax1, ax2 = axes\n",
"\n",
" ax1 = draw_contour(ax=axes[0])\n",
" initial_kwargs = dict(color=\"red\", marker=\"*\", s=100, label=\"initial\")\n",
" others_kwargs = dict(color=\"black\", marker=\"*\", s=100)\n",
" line_kwargs = dict(color=\"black\", linestyle=\":\")\n",
" ax1.scatter(px1, px2, **initial_kwargs)\n",
" ax2.scatter(0, f(px1, px2), **initial_kwargs)\n",
" obs: List[float] = [f(px1, px2)] # Store the values of a sequence of objective functions\n",
" for i in range(ITERATION):\n",
" x1, x2 = method(px1, px2)\n",
" obs.append(f(x1, x2))\n",
" ax1.plot((px1, x1), (px2, x2), **line_kwargs)\n",
" ax1.scatter(x1, x2, **others_kwargs)\n",
" px1, px2 = (x1, x2)\n",
" ax1.legend()\n",
"\n",
" ax2.plot(range(ITERATION + 1), [] + obs, **line_kwargs)\n",
" ax2.scatter(range(1, ITERATION + 1), obs[1:], **others_kwargs)\n",
" ax2.set_title(method.__name__)\n",
" ax2.set_xlabel(\"iteration\")\n",
" ax2.set_ylabel(\"objective function\")\n",
" ax2.legend()\n",
" return (ax1, ax2)"
],
"id": "eb16ae35",
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "09aff52b"
},
"source": [
"## 最急降下法"
],
"id": "09aff52b"
},
{
"cell_type": "markdown",
"metadata": {
"id": "b529c042"
},
"source": [
"$$\\begin{aligned}\n",
"f(x_1,x_2) &= &(x_1-3)^2 &+x_1x_2 &+\\frac{1}{16}x_2^4 &+(x_2-1)^2\\\\\n",
"\\frac{\\partial}{\\partial x_1}f(x_1,x_2) &= &2(x_1-3) &+ x_2\\\\\n",
"\\frac{\\partial}{\\partial x_2}f(x_1,x_2) &= &&+x_1 &+ \\frac{1}{4}x_2^3 &+ 2(x_2-1)\n",
"\\end{aligned}$$"
],
"id": "b529c042"
},
{
"cell_type": "code",
"metadata": {
"id": "5aadd667"
},
"source": [
"df_x1 = lambda x1, x2: 2 * (x1 - 3) + x2\n",
"df_x2 = lambda x1, x2: x1 + 1 / 4 * (x2 ** 3) + 2 * (x2 - 1)\n",
"df = lambda x1, x2: (df_x1(x1, x2), df_x2(x1, x2))"
],
"id": "5aadd667",
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "4ed5737a"
},
"source": [
"def gradient_descent(\n",
" x1: float, x2: float, epsilon: float = EPSILON\n",
") -> Tuple[float, float]:\n",
" \"\"\"Optimize using gradient descent.\n",
"\n",
" Args:\n",
" x1, x2 (float) : Current points for each ``x1`` and ``x2``.\n",
" epsilon (float, optional) : Learning Rate. Defaults to ``EPSILON``.\n",
"\n",
" Returns:\n",
" Tuple[float, float]: Next points optimized from the current points.\n",
" \"\"\"\n",
" dx1, dx2 = df(x1, x2)\n",
" x1 -= epsilon * dx1\n",
" x2 -= epsilon * dx2\n",
" return (x1, x2)\n"
],
"id": "4ed5737a",
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"scrolled": true,
"id": "d3b073a9",
"outputId": "40a0c378-127d-42ca-be3e-fee814651f0d"
},
"source": [
"_ = simulation(gradient_descent)"
],
"id": "d3b073a9",
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 792x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "21c3bf9c"
},
"source": [
"## ニュートン法"
],
"id": "21c3bf9c"
},
{
"cell_type": "markdown",
"metadata": {
"id": "daf8e2da"
},
"source": [
"$$\n",
"\\begin{aligned}\n",
"H(f)_{ij}(\\mathbf{x}) \n",
"&= \\nabla_i\\nabla_jf(\\mathbf{x})\\\\\n",
"&= \\frac{\\partial^2}{\\partial x_i \\partial x_j }f(\\mathbf{x})\n",
"\\end{aligned}\n",
"$$"
],
"id": "daf8e2da"
},
{
"cell_type": "code",
"metadata": {
"id": "842c86f8"
},
"source": [
"# Hessian matrix\n",
"H = lambda x1, x2: [\n",
" [2, 1],\n",
" [1, 3 / 4 * (x2 ** 2) + 2],\n",
"]"
],
"id": "842c86f8",
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "7b925396"
},
"source": [
"def newtons_method(\n",
" x1: float, x2: float\n",
") -> Tuple[float, float]:\n",
" \"\"\"Optimize using Newton's method.\n",
"\n",
" Args:\n",
" x1, x2 (float) : Current points for each ``x1`` and ``x2``.\n",
"\n",
" Returns:\n",
" Tuple[float, float]: Next points optimized from the current points.\n",
" \"\"\"\n",
" grad = np.asarray(df(x1, x2))\n",
" hesse = np.asarray(H(x1, x2))\n",
" dx1, dx2 = np.linalg.solve(hesse, -grad)\n",
" x1 += dx1\n",
" x2 += dx2\n",
" return (x1, x2)"
],
"id": "7b925396",
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "3c2af93b",
"outputId": "01b72b2e-cac2-4724-d8d7-9e7aaacc9684"
},
"source": [
"_ = simulation(newtons_method)"
],
"id": "3c2af93b",
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 792x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "c792dab0"
},
"source": [
"## 準ニュートン法"
],
"id": "c792dab0"
},
{
"cell_type": "code",
"metadata": {
"id": "9f79b950"
},
"source": [
"TAU = 0.9\n",
"XI = 0.3"
],
"id": "9f79b950",
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "b70d633b"
},
"source": [
"def quasi_newtons_method(\n",
" x1: float, x2: float, tau: float = TAU, xi: float = XI\n",
") -> Tuple[float, float]:\n",
" \"\"\"Optimize using quasi-Newton's method.\n",
"\n",
" Args:\n",
" x1, x2 (float) : Current points for each ``x1`` and ``x2``.\n",
" tau, xi (float, optional) : Parameters used in linear search of learning rate. Defaults to ``TAU`` and ``XI``.\n",
"\n",
" Returns:\n",
" Tuple[float, float]: Next points optimized from the current points.\n",
" \"\"\"\n",
" global B\n",
" obj = f(x1, x2)\n",
" grad = np.asarray(df(x1, x2))\n",
" dx1, dx2 = -np.dot(np.linalg.inv(B), grad)\n",
"\n",
" # Find a suitable learning rate with Armijo condition\n",
" alpha = 1\n",
" tmp = xi * np.dot(grad, (dx1, dx2))\n",
" while f(x1 + alpha * dx1, x2 + alpha * dx2) > obj + alpha * tmp:\n",
" alpha *= tau\n",
"\n",
" x1 += alpha * dx1\n",
" x2 += alpha * dx2\n",
"\n",
" new_grad = np.asarray(df(x1, x2))\n",
"\n",
" s = np.asarray([alpha * dx1, alpha * dx2]).reshape(-1, 1)\n",
" y = (new_grad - grad).reshape([-1, 1])\n",
" Bs = np.dot(B, s)\n",
" B -= (Bs * Bs.T) / np.dot(s.T, Bs) - (y * y.T) / np.dot(s.T, y)\n",
"\n",
" return (x1, x2)"
],
"id": "b70d633b",
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "f73e2acf",
"outputId": "09433b41-464c-4446-d4e2-14904fc2a6fb"
},
"source": [
"B = np.eye(len(INITIAL))\n",
"_ = simulation(quasi_newtons_method)"
],
"id": "f73e2acf",
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 792x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "ae86f4d7"
},
"source": [
"# 結果の比較"
],
"id": "ae86f4d7"
},
{
"cell_type": "code",
"metadata": {
"id": "713e90da"
},
"source": [
"methods = [\n",
" gradient_descent,\n",
" newtons_method,\n",
" quasi_newtons_method,\n",
"]"
],
"id": "713e90da",
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "27fab3cb",
"outputId": "55e4b65a-b7ec-48a5-fa06-ba99c583182b"
},
"source": [
"fig, axes = plt.subplots(ncols=3, nrows=2, figsize=(18, 8), sharey=\"row\", facecolor=\"w\")\n",
"B = np.eye(len(INITIAL))\n",
"for i,method in enumerate(methods):\n",
" _ = simulation(method=method, axes=axes[:,i])\n",
" \n",
"fig.tight_layout()\n",
"fig.show()"
],
"id": "27fab3cb",
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"<ipython-input-18-bf46e0920599>:7: UserWarning: Matplotlib is currently using module://ipykernel.pylab.backend_inline, which is a non-GUI backend, so cannot show the figure.\n",
" fig.show()\n"
],
"name": "stderr"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1296x576 with 6 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
}
]
}
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