7.5.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 20, x1 -2.382563, x2 -0.158591\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import d2lzh as d2l\n",
    "import math\n",
    "import torch\n",
    "\n",
    "def adagrad_2d(x1, x2, s1, s2):\n",
    "    g1, g2, eps = 0.2 * x1, 4 * x2, 1e-6  # 前两项为自变量梯度\n",
    "    s1 += g1 ** 2\n",
    "    s2 += g2 ** 2\n",
    "    x1 -= eta / math.sqrt(s1 + eps) * g1\n",
    "    x2 -= eta / math.sqrt(s2 + eps) * g2\n",
    "    return x1, x2, s1, s2\n",
    "\n",
    "def f_2d(x1, x2):\n",
    "    return 0.1 * x1 ** 2 + 2 * x2 ** 2\n",
    "\n",
    "eta = 0.4\n",
    "d2l.show_trace_2d(f_2d, d2l.train_2d(adagrad_2d))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 20, x1 -0.002295, x2 -0.000000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "eta = 2\n",
    "d2l.show_trace_2d(f_2d, d2l.train_2d(adagrad_2d))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "features, labels = d2l.get_data_ch7()\n",
    "\n",
    "def init_adagrad_states():\n",
    "    s_w = torch.zeros(features.shape[1], 1)\n",
    "    s_b = torch.zeros(1)\n",
    "    return s_w, s_b\n",
    "\n",
    "def adagrad(params, states, hyperparams):\n",
    "    eps = 1e-6\n",
    "    for p, s in zip(params, states):\n",
    "        s.data += p.grad ** 2\n",
    "        p.data -= hyperparams['lr'] * p.grad / (s + eps).sqrt()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loss: 0.242590, 0.036793 sec per epoch\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
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