{ "cells": [ { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# %load /Users/facai/Study/book_notes/preconfig.py\n", "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "sns.set(color_codes=True)\n", "sns.set(font='SimHei', font_scale=2.5)\n", "plt.rcParams['axes.grid'] = False\n", "\n", "def show_image(filename, figsize=None, res_dir=True):\n", " if figsize:\n", " plt.figure(figsize=figsize)\n", "\n", " if res_dir:\n", " filename = './res/{}'.format(filename)\n", "\n", " plt.imshow(plt.imread(filename))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Chapter 1: Introduction\n", "=============\n", "\n", "Two characteristics:\n", "+ trial-and-error search\n", "+ delayed reward\n", "\n", "Markov decision process:\n", "1. sensation\n", "2. action\n", "3. goal\n", "\n", "challenges:\n", "+ trade-off between exploration and exploitation\n", "\n", "main subelements of a reinforcement learning system:\n", "+ policy: the learning agent's way of behaving at a given time.\n", "+ reward signal: goal of the problem.\n", "+ value function: what is good in the long run. 远见. Hard.\n", "+ model of the environemt: (optional) inference about how the environment will behave.\n", "\n", "\n", "reinforcement learning:\n", "+ VS supervised learning: learning from interaction.\n", "+ VS unsupervised learning: maximize a reward signal, instead of trying to find hidden structure.\n", "+ VS evolutionary methods: its search is guided by value function. more efficient in general." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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XVCcHDRls0vW6dOyI/SY+hPv5zBkm9dc4eOCA0X0dHBzMXof2lU6duaUuURln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HkN2oKr4DgOEd3b8t0WBfwJNCeindDVI0z2p/tPWGb6aH/NzEHC8sPJ/HR7xm6Q1Lw04bu0guKT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\nntVqpaeeeor0ej399NNP4vW6aJN6v4d23759AIDhw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