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Forked from du-phan/QLearning.ipynb
Created January 31, 2017 20:48
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Learning motor primitives on a small crawling robot using Q-Learning.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"***"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Github link to the full project: [Autonomous_robot_project](https://github.com/du-phan/Autonomous_robot)\n",
"\n",
"NB viewer link for this notebook: [Learning motor primitives on a small crawling robot using Q-Learning](http://nbviewer.jupyter.org/github/du-phan/Autonomous_robot/blob/master/Code/Simulation/Crawling_Simulation.ipynb)\n",
"\n",
"Binder version: [Learning motor primitives on a small crawling robot using Q-Learning](http://mybinder.org/repo/du-phan/autonomous_robot): go to `Code\\Simulation\\Crawling_Simulation.ipynb`"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"***"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Table of content:\n",
"\n",
"* [Review of Q-learning](#1)\n",
" * Algorithm\n",
" * Behavior policy\n",
"* [Robot simulation](#2)\n",
"* [Heuristic improvement](#3)\n",
" * Reward scaling\n",
" * Action penalty\n",
" * Q-value scaling\n",
" * Warm-up period\n",
"\n",
"* [Parameter optimisation](#4)\n",
" * Bayesian optimisation\n",
" * Result\n",
" * Parameter performance\n",
" * Greedy vs Boltzmann\n",
" * Gamma\n",
" * Alpha\n",
" * Noise\n",
" \n",
"* [Eligility traces](#5)\n",
" * Overview\n",
" * TD($\\lambda$) and Naive Q($\\lambda$)\n",
" * Result"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"***"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# -*- coding: utf-8 -*-\n",
"import re\n",
"import time\n",
"import datetime \n",
"import operator\n",
"import numpy as np\n",
"import pandas as pd \n",
"import collections\n",
"import unicodedata\n",
"import collections\n",
"import seaborn as sns\n",
"import collections\n",
"import matplotlib.pylab as pylab\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from tqdm import tqdm\n",
"from collections import Counter\n",
"from datetime import datetime, date, timedelta\n",
"from IPython.display import Image\n",
"\n",
"\n",
"%matplotlib inline\n",
"\n",
"pylab.rcParams['figure.figsize'] = 11,8\n",
"\n",
"plt.style.use('bmh')\n",
"colors = ['#348ABD', '#A60628', '#7A68A6', '#467821', '#D55E00', \n",
" '#CC79A7', '#56B4E9', '#009E73', '#F0E442', '#0072B2']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"***"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Review of Q-learning <a id='1'></a>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1. Algorithm:\n",
"The main algorithm is define as:\n",
"\n",
"$ Q(S_t,A_t) \\leftarrow Q(S_t, A_t) + \\alpha \\left [ R_{t+1} + \\gamma \\max_a Q(S_{t+1},a) - Q(S_t,A_t) \\right ]\n",
"$\n",
"\n",
"The algorithm can be then implemented as follows: "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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hvn4BoqCD0DHhAVGCmKl4nESN5GOpHzKMshJyKvKaCpqKykqSynwqjKqQ6g+1ceS0uqvZ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y19/D/O6nEE5VhOwDl2mgo4GWerMXz9lx25mqAxxfpW0YOkgOxGtravxIk4uTh6gfqemGF+cv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\n9o/NLpRQiivHjiDlyhFEpuWjvJwEN4rNKI45I/Y8Nm7ajZ7DXsKArsYta/a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"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Image(filename=\"img/q-learning.png\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"(Source: Reinforcement Learning - An Introduction.)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2. Behavior policy\n",
"\n",
"Q-learning is an **off-policy** learning method. The algorithm has 2 policies: one used to choose the next action in each time step, called *behavior policy*, and one whose value function we seek to learn, called the *target policy*. The choice of behavior policy is important as it is the main way to cope with the exploitation-exploration dilemma.\n",
" \n",
"In this project, we have considered 2 types of behavior policy: $\\epsilon$-greedy and the Boltzmann selection."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 2.1 $\\epsilon$-greedy selection\n",
"When employing this strategy, the agent will usually follow the greedy rule, which means that it will chose the best action according to the state-action values. However, there is a small probability $\\epsilon$ that, rather than take the best action, the agent will uniformly select an action from the remaining actions. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 2.2 Boltzmann selection\n",
"\n",
"With Boltzmann selection, the relative value of the state-action values is taken into account. By using a Softmax function, we \"squash\" the vector of state-action values into a vector of \"probability\", i.e it sums to 1. The action will be sampled from this vector with the corresponding probability.\n",
" \n",
"Concretely, at a state **s**, an action **a** is selected with probability: \n",
" \n",
"$\n",
" p = \\frac{\\exp(\\frac{Q(s,a) - max_bQ(s,b)}{T})}{ \\sum_{a} \\exp(\\frac{Q(s,a) - max_bQ(s,b)}{T})}\n",
"$ \n",
"\n",
"**T** is called the temperature, and increases the exploration rate as it increases.\n",
" \n",
"Later, in the parameter optimisation section, we will examine the difference in performance between these 2 policies."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"***"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Robot simulation <a id='2'></a>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To analyse the performance of the algorithm, we have created a crawling robot simulation of our robotics project. The goal of this project is to train the robot to move forward using reinforcement learning.\n",
"\n",
"The real life robot has 2 servomotors for locomotion and 2 freewheels with encoders to reduce friction and measure displacement. The chassis and wheels with encoders can simply be taken from a previous project (Raspberry Pi line tracker). As for the motors, we have a large supply of dynamixel XL-320 which are powerful enough to lift the robot’s arm and drag it along the ground.The arm’s parts were 3D printed on site at Eirlab, the school’s fab lab.\n",
"\n",
"Another important reason we are starting with this simple design is that it allows us to quickly and easily test the basic theory for Q learning. Since the robot only has 2 degrees of freedom, the complexity of the algorithm will be drastically reduced compared to our final design. We have allowed each servo to have a $120^{\\circ}$ range of motion split up in 7 discrete positions $20^{\\circ}$ apart."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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