Chapter3.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "3eb3b6b9",
   "metadata": {},
   "source": [
    "## Chapter 3: Dynamic Programming"
   ]
  },
  {
   "attachments": {
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"
    }
   },
   "cell_type": "markdown",
   "id": "54d2ec15",
   "metadata": {},
   "source": [
    "### What is Dynamic Programming?\n",
    "\n",
    "**Dynamic programming (DP)** is a collection of algorithms that can be used to compute optimal **policies** given a perfect model such as a **Markov Decision Process (MDP).**\n",
    "\n",
    "DP can solve problems that have two properties:\n",
    "\n",
    "1. **Overlapping subproblems**\n",
    "    * Problem can be broken down to subproblems \n",
    "    * Solution to subproblems can be reused\n",
    "</br></br>\n",
    "2. **Optimal substructure**\n",
    "    * Problem can be decomposed into subproblems\n",
    "\n",
    "For example, **Fibonacci numbers** computation is one of the problems that can be solved by dynamic programming.\n",
    "\n",
    "<p align=\"center\">\n",
    "\n",
    "![fibonacci.jpg](attachment:fibonacci.jpg)\n",
    "</p>\n",
    "\n",
    "In RL, if we know full MDP, Bellman equations can be solved by Dynamic Programming. "
   ]
  },
  {
   "attachments": {
    "policy%20iteration.png": {
     "image/png": 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"
    }
   },
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   "source": [
    "### Policy iteration\n",
    "\n",
    "Policy iteration is a DP algorithm that finds optimal policy by iterative **policy evaluation** and **policy improvement**.\n",
    "**Policy evaluation** estimates value of the policy $\\pi$, and **policy improvement** generates policy $\\pi'$ better than $\\pi$ with estimated value $v_\\pi$. With iterative procedure, value function $v$ and policy $\\pi$ can reach its optimal $v_*$ and $\\pi_*$.\n",
    "\n",
    "![policy%20iteration.png](attachment:policy%20iteration.png)\n",
    "\n",
    "#### Policy evaluation\n",
    "How can we find the value function in policy evaluation? We can find it by using **Bellman equation** mentioned in **Chapter 2**.\n",
    "</br>\n",
    "</br>\n",
    "<font size=\"4\">\n",
    "$$\\begin{align}\n",
    "v_\\pi(s) = \\mathbb{E}_\\pi[R_{t+1} + \\gamma v_\\pi(s_{t+1}) | S_t = s] &\n",
    "\\\\= \\sum_{a \\in \\mathcal{A}} \\pi(a|s) (R_{t+1} + \\gamma \\sum_{s' \\in \\mathcal{S}}v_\\pi(s_{t+1}))\n",
    "\\end{align}$$\n",
    "</font>\n",
    "\n",
    "At first, we set value function at iteration 0 under policy $\\pi$ as $v_k(s)$ arbitarily (except the terminal state, which has to be set to zero) for all $s \\in \\mathcal{S}$. Then calculate the next approximation $v_{k+1}$ by using the Bellman equation.\n",
    "</br>\n",
    "</br>\n",
    "<font size=\"4\">\n",
    "$$\\begin{align}\n",
    "v_{k+1}(s) = \\sum_{a \\in \\mathcal{A}} \\pi(a|s) (R_s^a + \\gamma \\sum_{s' \\in \\mathcal{S}}\\mathcal{P}_{ss'}^a v_{k}(s'))\n",
    "\\end{align}$$\n",
    "</font>\n",
    "In MDP, $v_k$ converges to true $v_\\pi$ as $k \\rightarrow \\infty$.\n",
    "\n",
    "\n",
    "#### Policy improvement\n",
    "\n",
    "After policy evaluation, policy $\\pi$ can be improved easily by\n",
    "</br>\n",
    "</br>\n",
    "<font size=\"4\">\n",
    "$$\\begin{align}\n",
    "\\pi'(s) = \\text{argmax}_{a \\in \\mathcal{A}} q_\\pi (s,a) &\n",
    "\\\\ = \\text{argmax}_a \\sum_{s', r}\\mathcal{P}_{ss'}^a (r + \\gamma v_\\pi(s'))\n",
    "\\end{align}$$\n",
    "</font>\n",
    "\n",
    "As value function under policy $\\pi$ is equal to $q_\\pi (s, \\pi(s)$, acting greedily improves the value from any state $s$ over one step.\n",
    "</br>\n",
    "</br>\n",
    "<font size=\"4\">\n",
    "$$\\begin{align}\n",
    "q_\\pi(s, \\pi'(s)) = \\max_{a \\in \\mathcal{A}} q_\\pi(s, a) \\geq q_\\pi(s, \\pi(s)) = v_\\pi(s)\n",
    "\\end{align}$$\n",
    "</font>\n",
    "And therefore improves the value function, $v_{\\pi'}(s) \\geq v_\\pi(s)$\n",
    "</br>\n",
    "</br>\n",
    "<font size=\"4\">\n",
    "$$\\begin{align}\n",
    "v_\\pi(s) \\leq q_\\pi(s, \\pi'(s)) = \\mathbb{E}_{\\pi'}[R_{t+1} + \\gamma v_\\pi(S_{t+1}) | S_t = s] &\n",
    "\\\\  \\leq \\mathbb{E}_{\\pi'}[R_{t+1} + \\gamma q_\\pi(S_{t+1}, \\pi'(S_{t+1}) | S_t = s]\n",
    "\\\\  \\leq \\mathbb{E}_{\\pi'}[R_{t+1} + \\gamma R_{t+2} + \\gamma^2 q_\\pi(S_{t+2}, \\pi'(S_{t+2})) | S_t = s]\n",
    "\\\\  \\leq \\mathbb{E}_{\\pi'}[R_{t+1} + \\gamma R_{t+2} + \\gamma^2 R_{t+3} + \\cdots | S_t = s] = v_{\\pi'}(s)\n",
    "\\end{align}$$\n",
    "</font>\n",
    "\n",
    "If improvement stops, or \n",
    "</br>\n",
    "</br>\n",
    "<font size=\"4\">\n",
    "$$\\begin{align}\n",
    "q_\\pi(s, \\pi'(s)) = \\max_{a \\in \\mathcal{A}} q_\\pi(s, a) = q_\\pi(s, \\pi(s)) = v_\\pi(s)\n",
    "\\end{align}$$\n",
    "</font>\n",
    "Then $v_\\pi(s) = v_*(s)$ for all $s \\in \\mathcal{S}$, satisfying Bellman optimality equation.\n"
   ]
  },
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    "policy_iteration_pseudocode.png": {
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"
    }
   },
   "cell_type": "markdown",
   "id": "625b195b",
   "metadata": {},
   "source": [
    "### Pseudocode and Implementation of Policy Iteration\n",
    "\n",
    "![policy_iteration_pseudocode.png](attachment:policy_iteration_pseudocode.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a255c76c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import gymnasium as gym\n",
    "import numpy as np\n",
    "from IPython import display\n",
    "import matplotlib.pyplot as plt\n",
    "from utils import JupyterRender\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "66c20fba",
   "metadata": {},
   "outputs": [],
   "source": [
    "class Policy_Iter:\n",
    "    def __init__(self, env, gamma=0.99, theta=1e-8):\n",
    "        self.env = env\n",
    "\n",
    "        self.nrow = env.nrow\n",
    "        self.ncol = env.ncol \n",
    "        \n",
    "        self.state_dim = env.observation_space.n # self.nrow * self.ncol\n",
    "        self.action_dim = env.action_space.n\n",
    "\n",
    "        self.gamma = gamma\n",
    "        self.theta = theta\n",
    "        \n",
    "        # 1. Initialization\n",
    "        self.pi = np.zeros([self.state_dim], dtype=int)\n",
    "        self.v = np.zeros([self.state_dim])\n",
    "\n",
    "\n",
    "    def run(self):\n",
    "        while True:\n",
    "            # 2. Policy Evaluation\n",
    "            while True:\n",
    "                delta = 0\n",
    "                for i in range(self.state_dim):\n",
    "                    v = self.v[i]\n",
    "\n",
    "                    tmp = 0\n",
    "\n",
    "                    for p, s_, r, done in self.env.P[i][self.pi[i]]:\n",
    "                        tmp += p * (r + self.gamma * self.v[s_])\n",
    "\n",
    "                    self.v[i] = tmp\n",
    "\n",
    "                    delta = max(delta, abs(v - self.v[i]))\n",
    "\n",
    "                if delta < self.theta:\n",
    "                    break\n",
    "\n",
    "            # 3. Policy Improvement\n",
    "            policy_stable = True\n",
    "            for i in range(self.state_dim):\n",
    "                old_action = self.pi[i]\n",
    "\n",
    "                values_by_action = []\n",
    "                for j in range(self.action_dim):\n",
    "                    tmp = 0\n",
    "                    for p, s_, r, done in self.env.P[i][j]:\n",
    "                        tmp += p * (r + self.gamma * self.v[s_])\n",
    "\n",
    "                    values_by_action.append(tmp)\n",
    "\n",
    "                self.pi[i] = np.argmax(values_by_action)\n",
    "\n",
    "                if self.pi[i] != old_action:\n",
    "                    policy_stable = False\n",
    "\n",
    "            if policy_stable:\n",
    "                break\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "f149cc45",
   "metadata": {},
   "outputs": [],
   "source": [
    "env = gym.make(\"FrozenLake-v1\", render_mode='rgb_array', is_slippery=False)#define the environment.\n",
    "env = JupyterRender(env)\n",
    "\n",
    "piter_config = {\n",
    "    'env': env,\n",
    "    'gamma': 0.99,\n",
    "    'theta': 1e-8,\n",
    "}\n",
    "\n",
    "p_iter = Policy_Iter(**piter_config)\n",
    "p_iter.run()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "76e96eb4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from utils.visualize import visualize_policy\n",
    "\n",
    "fig = plt.figure(figsize=(6, 6))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "visualize_policy(p_iter.pi, ax, p_iter.nrow, p_iter.ncol)\n",
    "\n",
    "plt.tick_params(bottom=False, left=False, labelbottom=False, labelleft=False)\n",
    "display.display(plt.gcf())\n",
    "display.clear_output(wait=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "df6b9031",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from utils.visualize import visualize_v\n",
    "\n",
    "fig = plt.figure(figsize=(6, 6))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "visualize_v(p_iter.v, ax, p_iter.nrow, p_iter.ncol)\n",
    "\n",
    "plt.tick_params(bottom=False, left=False, labelbottom=False, labelleft=False)\n",
    "display.display(plt.gcf())\n",
    "display.clear_output(wait=True)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "82f55f74",
   "metadata": {},
   "source": [
    "### Value iteration\n",
    "\n",
    "However, policy iteration holds drawbacks such as large required computation power for policy evaluation, and its difficulty of converging to optimal value function in all states. Even more, optimal value function may not be required for achievement of optimal policy. Inspired from it, **Value iteration** combines policy evaluation and improvement by using the Bellman optimality equation. \n",
    "</br>\n",
    "</br>\n",
    "<font size=\"4\">\n",
    "$$\\begin{align}\n",
    "v_{*}(s) = \\max_{a \\in \\mathcal{A}} (R_s^a + \\gamma \\sum_{s' \\in \\mathcal{S}}\\mathcal{P}_{ss'}^a v_{*}(s'))\n",
    "\\end{align}$$\n",
    "</font>\n",
    "\n",
    "At each iteration, value function $v_*$ is updated by the forementioned equation until its change becomes minimal. Then the deterministic policy can be caculated by policy improvement. \n"
   ]
  },
  {
   "attachments": {
    "value_iteration_psuedocode.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "ace31aad",
   "metadata": {},
   "source": [
    "### Pseudocode and Implementation of Value Iteration\n",
    "![value_iteration_psuedocode.png](attachment:value_iteration_psuedocode.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "75317943",
   "metadata": {},
   "outputs": [],
   "source": [
    "import gymnasium as gym\n",
    "import numpy as np\n",
    "from IPython import display\n",
    "import matplotlib.pyplot as plt\n",
    "from utils import JupyterRender\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b1474ced",
   "metadata": {},
   "outputs": [],
   "source": [
    "class Value_Iter:\n",
    "    def __init__(self, env, gamma=0.99, theta=1e-8):\n",
    "        self.env = env\n",
    "\n",
    "        self.nrow = env.nrow\n",
    "        self.ncol = env.ncol\n",
    "        \n",
    "        self.state_dim = env.observation_space.n\n",
    "        self.action_dim = env.action_space.n\n",
    "        \n",
    "        self.gamma = gamma\n",
    "        self.theta = theta\n",
    "        \n",
    "        # 1. Initialization\n",
    "        self.v = np.zeros([self.state_dim])\n",
    "        self.pi = np.zeros([self.state_dim], dtype=int)\n",
    "\n",
    "    def run(self):\n",
    "        while True:\n",
    "            delta = 0.\n",
    "            for i in range(self.state_dim):\n",
    "                current_v = self.v[i]\n",
    "\n",
    "                values_by_action = []\n",
    "                for j in range(self.action_dim):\n",
    "                    tmp = 0\n",
    "                    for p, s_, r, done in self.env.P[i][j]:\n",
    "                        tmp += p * (r + self.gamma * self.v[s_])\n",
    "\n",
    "                    values_by_action.append(tmp)\n",
    "                self.v[i] = max(values_by_action)\n",
    "\n",
    "                delta = max(delta, abs(self.v[i] - current_v))\n",
    "            if delta < self.theta:\n",
    "                break\n",
    "\n",
    "        for i in range(self.state_dim):\n",
    "            values_by_action = []\n",
    "            for j in range(self.action_dim):\n",
    "                tmp = 0\n",
    "                for p, s_, r, done in self.env.P[i][j]:\n",
    "                    tmp += p * (r + self.gamma * self.v[s_])\n",
    "\n",
    "                values_by_action.append(tmp)\n",
    "\n",
    "            self.pi[i] = np.argmax(values_by_action)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "142a28cc",
   "metadata": {},
   "outputs": [],
   "source": [
    "env = gym.make(\"FrozenLake-v1\", render_mode='rgb_array', is_slippery=False)#define the environment.\n",
    "env = JupyterRender(env)\n",
    "\n",
    "viter_config = {\n",
    "    'env': env,\n",
    "    'gamma': 0.99,\n",
    "    'theta': 1e-8,\n",
    "}\n",
    "\n",
    "v_iter = Value_Iter(**viter_config)\n",
    "v_iter.run()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "10b6d634",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from utils.visualize import visualize_policy\n",
    "\n",
    "fig = plt.figure(figsize=(6, 6))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "visualize_policy(v_iter.pi, ax, v_iter.nrow, v_iter.ncol)\n",
    "\n",
    "plt.tick_params(bottom=False, left=False, labelbottom=False, labelleft=False)\n",
    "display.display(plt.gcf())\n",
    "display.clear_output(wait=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "3f309d7e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from utils.visualize import visualize_v\n",
    "\n",
    "fig = plt.figure(figsize=(6, 6))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "visualize_v(v_iter.v, ax, v_iter.nrow, v_iter.ncol)\n",
    "\n",
    "plt.tick_params(bottom=False, left=False, labelbottom=False, labelleft=False)\n",
    "display.display(plt.gcf())\n",
    "display.clear_output(wait=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "361f2886",
   "metadata": {},
   "source": [
    "### Contraction Mapping Theorem\n",
    "\n",
    "Both policy iteration and value iteration can calculate optimal value function in a MDP. But can we prove it always converge to $v_*$, and the converged $v_*$ is a unique solution? These questions are resolved by contraction mapping. \n",
    "\n",
    "Consider two different value functions *u* and *v*. Its $\\infty$-norm can be calculated as the following equation.\n",
    "</br>\n",
    "</br>\n",
    "<font size=\"4\">\n",
    "$$\\begin{align}\n",
    "||u-v|| = \\max_{s \\in \\mathcal{S}}|u(s) - v(s)|\n",
    "\\end{align}$$\n",
    "</font>\n",
    "\n",
    "For policy iteration, the bellman expectation equation is used for policy evaluation. Under policy $\\pi$, $\\infty$-norm between two value functions is\n",
    "</br>\n",
    "</br>\n",
    "<font size=\"4\">\n",
    "$$\\begin{align}\n",
    "||(\\mathcal{R}^\\pi +  \\gamma \\mathcal{P}^\\pi u) - (\\mathcal{R}^\\pi +  \\gamma \\mathcal{P}^\\pi v)||_\\infty = ||\\gamma \\mathcal{P} (u - v) ||_\\infty &\n",
    "\\\\ \\leq ||\\gamma \\mathcal{P} ||(u - v)||_\\infty ||_\\infty\n",
    "\\\\ \\leq ||(u - v)||_\\infty\n",
    "\\end{align}$$\n",
    "</font>\n",
    "\n",
    "It proves policy evaluation makes value function converges to one unique point at a linear convergence rate of $\\gamma$. Convergence of value iteration can be also proved by contraction mapping of Bellman optimality equation, too."
   ]
  },
  {
   "attachments": {
    "full_backup.png": {
     "image/png": 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"
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   "source": [
    "### Dynamic Programming and Full-Width Backups\n",
    "\n",
    "Dynamic programming uses **full-width backups** - which means it considers every next state and action for each backup. \n",
    "\n",
    "![full_backup.png](attachment:full_backup.png)\n",
    "\n",
    "For *m* actions and *n* states, policy iteration and value iteration have complexity of $O(mn^2)$. Thus it may be efficient for mid-sized problems, but for large problems it can suffer from curse of dimensionality.\n",
    "\n",
    "Therefore, algorithms that implement **sample backups** - which only considers sampled transitions $(\\mathcal{S}, \\mathcal{A}, \\mathcal{R}, \\mathcal{S'})$ is widely used. Compared to DP, it has many advantages:\n",
    "\n",
    " - Model-free: No full knowledge of MDP is required.\n",
    " - Backup cost does not depend on the state size *n* -> does not suffer from curse of dimensionality.\n"
   ]
  },
  {
   "attachments": {
    "gpi.png": {
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"
    }
   },
   "cell_type": "markdown",
   "id": "379a008e",
   "metadata": {},
   "source": [
    "### Generalized Policy Iteration (GPI)\n",
    "\n",
    "In policy iteration, **policy evaluation** and **policy improvement** alternates to achieve optimal $v_*$ and $\\pi_*$. However, such iteration is not necessary for convergence to the optimal $v_*$ and $\\pi_*$. For example, value iteration can also achieve it by a single policy improvement. As long as all states in the environment are updated, the results are the same. \n",
    "\n",
    "Thus, the term **Generalized policy iteration (GPI)** refers to the general idea of interaction of any policy evaluation and any policy improvement algorithm.\n",
    "![gpi.png](attachment:gpi.png) \n",
    "\n",
    "\n"
   ]
  }
 ],
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