q-learning.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Q-Learning\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from collections import defaultdict\n",
    "import gym\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from frozen_lake_util import show_q_value\n",
    "\n",
    "# matplotlibで日本語を使用するために必要です。環境に応じて日本語フォントを指定\n",
    "plt.rcParams['font.family'] = 'MyricaM M' "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "[123]"
     },
     "metadata": {},
     "execution_count": 2
    }
   ],
   "source": [
    "# パラメーター\n",
    "n_episode = 500 # 何回エピソードを回すか\n",
    "gamma = 0.9     # 割引率 \n",
    "learning_rate = 0.1 # 学習率\n",
    "epsilon = 0.1\n",
    "render = False # 描画するか\n",
    "\n",
    "env = gym.make('FrozenLakeEasy-v0')\n",
    "num_actions = env.action_space.n    # とれる行動の数. FrozenLakeでは上下左右の4方向\n",
    "actions = list(range(num_actions))  # 取り得る行動の方向をリスト（[0, 1, 2, 3]）で表現\n",
    "Q = defaultdict(lambda: [0] * num_actions) # Qテーブルの初期化\n",
    "\n",
    "# seedの固定\n",
    "np.random.seed(123)\n",
    "env.seed(123)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def ep_greedy(Q, state):\n",
    "    if np.random.random() < epsilon:\n",
    "        return np.random.randint(num_actions) # n_actionsはグローバル\n",
    "    else:\n",
    "        if state in Q and sum(Q[state]) != 0: # Qに値が入っている場合\n",
    "            # Qは{s: [Q(a1), Q(a2), Q(a3), Q(a4)]}みたいになってるので、最大値を取るindex=actionになる\n",
    "            return np.argmax(Q[state]) \n",
    "        else:\n",
    "            return np.random.randint(num_actions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "reward_history = []\n",
    "for e in range(n_episode):\n",
    "    state = env.reset() # 初期化\n",
    "    \n",
    "    done = False\n",
    "    count_ep = 1\n",
    "    while not done:\n",
    "        if render:\n",
    "            env.render() # 描画\n",
    "\n",
    "        action = ep_greedy(Q, state) # SARSAとの差分\n",
    "        next_state, reward, done, _ = env.step(action) # envにactionを渡して状態遷移\n",
    "        # n_a = ep_greedy(n_s) # SARSAとの差分\n",
    "        \n",
    "        # Qを更新\n",
    "        td_error = reward + gamma * max(Q[next_state]) - Q[state][action] # TD誤差の計算式がSARSAと異なる。（SARSAはgamma*Q[n_s][n_a]）\n",
    "        Q[state][action] += learning_rate * td_error\n",
    "        # 状態を更新\n",
    "        state = next_state\n",
    "\n",
    "        count_ep += 1\n",
    "    \n",
    "    reward_history.append(reward/count_ep)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8, 4), dpi=80)\n",
    "ax = fig.add_subplot()\n",
    "ax.plot(reward_history)\n",
    "ax.set_xlabel('学習エピソード数')\n",
    "ax.set_ylabel('報酬')\n",
    "plt.savefig('images/q_learning_train.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 720x480 with 1 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "show_q_value(Q, 'images/q_learning_q.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "3.8.2-final"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}