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@nariaki3551
Created November 21, 2022 00:55
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{
"cells": [
{
"cell_type": "markdown",
"id": "81f8b2f6",
"metadata": {},
"source": [
"## Newton method"
]
},
{
"cell_type": "markdown",
"id": "7b687832",
"metadata": {},
"source": [
"$x_{k+1} = x_k - \\nabla^2f(x_k)^{-1}\\nabla f(x_k)$"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "e8f85272",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"iter 0 obj 3.160493827160493\n",
"iter 1 obj 0.624295076969974\n",
"iter 2 obj 0.123317546068143\n",
"iter 3 obj 0.024359021445558345\n",
"iter 4 obj 0.00481165855714723\n",
"iter 5 obj 0.0009504510730168634\n",
"iter 6 obj 0.00018774342183052904\n",
"iter 7 obj 3.708512036154251e-05\n",
"iter 8 obj 7.325455873793895e-06\n",
"iter 9 obj 1.4470036294167326e-06\n",
"iter 10 obj 2.858278774464188e-07\n",
"iter 11 obj 5.645982767033269e-08\n"
]
}
],
"source": [
"import flopt\n",
"import flopt.solution\n",
"\n",
"import itertools\n",
"import numpy as np\n",
"\n",
"x1 = flopt.Variable(\"x1\", ini_value=0)\n",
"x2 = flopt.Variable(\"x2\", ini_value=3)\n",
"x = flopt.solution.Solution([x1, x2])\n",
"\n",
"f = (x1 - 2) ** 4 + (x1 - 2 * x2) ** 2\n",
"\n",
"jac_fn = f.jac(x)\n",
"hess_fn = f.hess(x)\n",
"\n",
"path = [x.value()]\n",
"\n",
"for i in itertools.count():\n",
" # 1. calculate jac, hess\n",
" # 2. search direction d\n",
" # 3. update x\n",
" jac, hess = jac_fn.value(), hess_fn.value()\n",
" d = - np.dot(np.linalg.inv(hess), jac)\n",
" x += d\n",
" \n",
" print(\"iter\", i, \"obj\", f.value())\n",
" path.append(x.value())\n",
"\n",
" # terminate condition\n",
" if np.linalg.norm(jac) < 1e-4:\n",
" break"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "daf625de",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x10a9767a0>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# plot solutions\n",
"X = np.linspace(-1, 4, 51)\n",
"Y = np.linspace(-1, 4, 51)\n",
"X_mesh, Y_mesh = np.meshgrid(X, Y)\n",
"\n",
"fig, ax = plt.subplots()\n",
"cmap = plt.get_cmap(\"tab10\")\n",
"\n",
"def f(x1, x2):\n",
" return (x1 - 2) ** 4 + (x1 - 2 * x2) ** 2\n",
"\n",
"ax.contour(X, Y, f(X_mesh, Y_mesh), levels=np.logspace(-0.3, 1.2, 10))\n",
"path = np.array(path)\n",
"ax.plot(path[:,0], path[:,1], marker=\"o\", linestyle=\"--\", color=cmap(0), zorder=1)\n",
"ax.scatter(path[0, 0], path[0, 1], marker=\"o\", color=cmap(1), label=\"initial point\", zorder=2)\n",
"ax.scatter(path[-1, 0], path[-1, 1], marker=\"o\", color=cmap(6), label=\"final point\", zorder=2)\n",
"ax.set_aspect('equal')\n",
"ax.grid(\"--\")\n",
"ax.legend()"
]
},
{
"cell_type": "markdown",
"id": "4b70af02",
"metadata": {},
"source": [
"## quasi-Newton method"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "13e27441",
"metadata": {},
"outputs": [],
"source": [
"def search_step_size(x, obj, grad, d, xi=0.3, tau=0.9):\n",
" \"\"\"Armijo\"\"\"\n",
" alpha = 1.0\n",
" dot = xi * np.dot(grad, d)\n",
"\n",
" obj_value = obj.value()\n",
" while obj.value(x + alpha * d) > obj_value + alpha * dot:\n",
" alpha *= tau\n",
" return alpha"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "0e62f1db",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"iter 0 obj 52\n",
"iter 1 obj 0.507839159677114\n",
"iter 2 obj 0.31311587231406046\n",
"iter 3 obj 0.07216377020844944\n",
"iter 4 obj 0.02807112778997082\n",
"iter 5 obj 0.010006791533851575\n",
"iter 6 obj 0.0030450640235905506\n",
"iter 7 obj 0.0010142206393701195\n",
"iter 8 obj 0.00033186315186441916\n",
"iter 9 obj 0.00010698314770102836\n",
"iter 10 obj 3.485874284929579e-05\n",
"iter 11 obj 1.1330806567379744e-05\n",
"iter 12 obj 3.675301614745556e-06\n",
"iter 13 obj 1.1941417606149756e-06\n"
]
}
],
"source": [
"import flopt\n",
"\n",
"import numpy as np\n",
"\n",
"x1 = flopt.Variable(\"x1\", ini_value=0)\n",
"x2 = flopt.Variable(\"x2\", ini_value=3)\n",
"x = flopt.solution.Solution([x1, x2])\n",
"\n",
"f = (x1 - 2) ** 4 + (x1 - 2 * x2) ** 2\n",
"\n",
"B = np.identity(len(x))\n",
"\n",
"jac_fn = f.jac(x)\n",
"jac = jac_fn.value(x)\n",
"\n",
"path = [x.value()]\n",
"\n",
"for i in itertools.count():\n",
" print(\"iter\", i, \"obj\", f.value(x))\n",
" \n",
" # 1. search direction d\n",
" # 2. step size alpha\n",
" # 3. update x\n",
" d = - np.dot(np.linalg.inv(B), jac)\n",
" alpha = search_step_size(x, f, jac, d)\n",
" x += alpha * d\n",
" \n",
" # 1. calculate jac\n",
" # 2. update B\n",
" pre_jac, jac = jac, jac_fn.value(x)\n",
" s = (alpha * d).reshape([-1, 1])\n",
" y = (jac - pre_jac).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",
" path.append(x.value())\n",
"\n",
" # terminate condition\n",
" if np.linalg.norm(jac) < 1e-4:\n",
" break"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "e1ed435f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x10a8e67d0>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# plot solutions\n",
"X = np.linspace(-1, 4, 51)\n",
"Y = np.linspace(-1, 4, 51)\n",
"X_mesh, Y_mesh = np.meshgrid(X, Y)\n",
"\n",
"fig, ax = plt.subplots()\n",
"cmap = plt.get_cmap(\"tab10\")\n",
"\n",
"def f(x1, x2):\n",
" return (x1 - 2) ** 4 + (x1 - 2 * x2) ** 2\n",
"\n",
"ax.contour(X, Y, f(X_mesh, Y_mesh), levels=np.logspace(-0.3, 1.2, 10))\n",
"path = np.array(path)\n",
"ax.plot(path[:,0], path[:,1], marker=\"o\", linestyle=\"--\", color=cmap(0), zorder=1)\n",
"ax.scatter(path[0, 0], path[0, 1], marker=\"o\", color=cmap(1), label=\"initial point\", zorder=2)\n",
"ax.scatter(path[-1, 0], path[-1, 1], marker=\"o\", color=cmap(6), label=\"final point\", zorder=2)\n",
"ax.set_aspect('equal')\n",
"ax.grid(\"--\")\n",
"ax.legend()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.10.5"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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