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/ 02.01 基于搜索的问题求解(学生版).ipynb

02.01 基于搜索的问题求解(学生版).ipynb @f4cbb28

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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2.1 基于搜索的问题求解"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center><video src=\"http://files.momodel.cn/search_problem.mp4\" controls=\"controls\" width=800px></center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "现实世界中许多问题都可以通过搜索的方法来求解,例如设计最佳出行路线或是制订合理的课程表。当给定一个待求解问题后,搜索算法会按照事先设定的逻辑来自动寻找符合求解问题的答案,因此一般可将搜索算法称为问题求解智能体。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://imgbed.momodel.cn//20200110155424.png\" width=500>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.1.1 搜索算法基本概念"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center><video src=\"http://files.momodel.cn/search_basic_concept.mp4\" controls=\"controls\" width=800px></center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们把书中的公交换乘的问题,转为无向图中的的路径寻找问题。无向图指的是边没有方向的图。\n",
    "\n",
    "首先,我们画出如下的无向图。该无向图中有 A,B,C,D,E,F,G 七个节点,其中 A 是起点, G 是目标点。\n",
    "\n",
    "点与点之间的连线称为边,边可以有权重,可以代表点与点之间的距离或者从一个点转移到另一个点需要花费的代价。\n",
    "\n",
    "下面我们先创建一个图。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 首先导入必要的包\n",
    "from search import SearchGraph\n",
    "import collections\n",
    "import matplotlib.pyplot as plt\n",
    "import collections\n",
    "from IPython import display\n",
    "import networkx as nx\n",
    "import numpy as np\n",
    "import time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 定义节点列表\n",
    "node_list = ['A', 'B', 'C', 'D', 'E', 'F', 'G']\n",
    "\n",
    "# 定义边及权重列表\n",
    "weighted_edges_list = [('A', 'B', 8), ('A', 'C', 20),\n",
    "                       ('B', 'F', 40), ('B', 'E', 30),\n",
    "                       ('B', 'D', 20), ('C', 'D', 10), \n",
    "                       ('D', 'G', 10), ('D', 'E', 10),\n",
    "                       ('E', 'F', 30), ('F', 'G', 30)]\n",
    "# 定义绘图中各个节点的坐标\n",
    "nodes_pos = {\"A\": (1, 1), \"B\": (3, 3), \"C\": (5, 0), \"D\": (9, 2),\n",
    "             \"E\": (7, 4), \"F\": (6,6),\"G\": (11,5)}\n",
    "\n",
    "# 绘制无向图\n",
    "g = SearchGraph(node_list, weighted_edges_list, 'A', 'G', max_depth=3, nodes_pos = nodes_pos )\n",
    "g.show_graph()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "观察上图,可以看到从起点 A 到目标点 G 距离最短的路径是 A -> B -> D  -> G,其距离是 38,我们可以设计一个计算机程序,按照既定的规则,从起点 A 出发,不断尝试从一个节点移动到下一个节点,直到抵达目标点 G。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**想一想**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "搜索算法四个重要的概念分别是什么?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**动手练**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "更改下面的代码,设置一条路径并查看,并结合此图说明搜索算法的四个重要概念。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g.show_graph(this_path=\"ABDG\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.1.2 搜索算法"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center><video src=\"http://files.momodel.cn/search_tree.mp4\" controls=\"controls\" width=800px></center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "搜索算法就是不断从某一状态转移到下一状态,直至到达终止状态为止。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**想一想**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "搜索树是什么?\n",
    "\n",
    "如何构造搜索树?\n",
    "\n",
    "思考一下,路径搜索能出现回路吗?\n",
    "\n",
    "在搜索树中能够扩展的节点需满足什么条件?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x324 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 查看搜索树\n",
    "g.show_search_tree()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.1.3 深度优先搜索和广度优先搜索"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center><video src=\"http://files.momodel.cn/search_dfs_bfs.mp4\" controls=\"controls\" width=800px></center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://imgbed.momodel.cn//20200110151426.png\" width=600>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**深度优先搜索**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "g.animation_search_tree('dfs')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**广度优先搜索**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "g.animation_search_tree('bfs')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**想一想**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "对于一个搜索问题,只要存在答案(即从初始节点到终止节点存在满足条件的一条路径),那么深度优先搜索和广度优先搜索都能找到一个答案吗?找到的答案一定是路径最短的吗?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 扩展内容\n",
    "** 深度优先搜索 dfs ** 基础代码解读\n",
    "\n",
    "```\n",
    "def iter_dfs(G, start, target):\n",
    "    '''\n",
    "    深度优先搜索\n",
    "    :param G: 字典,存储每个点的相邻点\n",
    "    :param start: 初始点\n",
    "    :param target: 目标点\n",
    "    :return:\n",
    "    '''\n",
    "\n",
    "    # 定义已访问的点的集合\n",
    "    S = set()\n",
    "    # 定义一个待访问点的列表\n",
    "    Q = []\n",
    "    # 把初始点放进列表中\n",
    "    Q.append(start)\n",
    "    while Q:\n",
    "        # 只要带访问的列表不为空,那么从列表中拿取最后一个元素,也就是一个点,记作 u\n",
    "        u = Q.pop()\n",
    "        # 如果当前点是目标点,则结束查找\n",
    "        if u == target:\n",
    "            break\n",
    "        # 如果该点已经被访问了,则跳过此点\n",
    "        if u in S:\n",
    "            continue\n",
    "        # 访问此点,将点加入已访问点的结合 S 中\n",
    "        S.add(u)\n",
    "        # 将点 u 相邻的点放入待访问的列表中\n",
    "        Q.extend(G[u])\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.1.4 启发式搜索"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center><video src=\"http://files.momodel.cn/search_greedy.mp4\" controls=\"controls\" width=800px></center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**想一想**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "能否在搜索过程中利用问题的定义以外的辅助信息?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**辅助信息:各个节点到目标节点G的直线距离**\n",
    "\n",
    "|站点|A|B|C|D|E|F|G|\n",
    "|--|--|--|--|--|--|--|--|\n",
    "|距离|30|20|19|10|5|25|0|\n",
    "\n",
    "如果每下一站都选最近的,那么称之为“贪婪”。\n",
    "\n",
    "利用下面的代码查看贪婪最佳优先算法搜索过程:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x324 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 为搜索算法提供辅助信息\n",
    "g.help_info = {'A': 30, 'B': 20, 'C': 19, 'D':10, 'E':5, 'F':25, 'G': 0}\n",
    "# 动态演示贪婪搜索\n",
    "g.animation_search_tree('greedy')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**想一想**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "“贪婪”机制下找到的最佳路径是什么呢?它是最短路径吗?为什么会产生这样的搜索结果?\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "另一种启发式搜索算法—— A* 算法克服了贪婪算法的不足。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center><video src=\"http://files.momodel.cn/search_a_star.mp4\" controls=\"controls\" width=800px></center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A\\*算法搜索过程:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x324 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 为搜索算法提供辅助信息\n",
    "g.help_info = {'A': 30, 'B': 20, 'C': 19, 'D':10, 'E':5, 'F':25, 'G': 0}\n",
    "# 动态演示 A* 算法\n",
    "g.animation_search_tree('a_star')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x324 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可以调整辅助信息的比重\n",
    "# 当只考虑额外信息时,即 origin_info_weight 设置为 0 的时候,A* 算法退化为贪婪算法。\n",
    "g.animation_search_tree('a_star',help_info_weight=1, origin_info_weight=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**想一想**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在实际中,A\\* 算法的性能表现一定很优秀吗?如果启发函数设计的不好怎么办?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  思考与练习"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "下图是一张线路示意图。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "node_list = [\"0\",\"1\",\"2\",\"3\",\"4\"]\n",
    "weighted_edges_list = [(\"0\",\"1\",10), (\"0\",\"2\",10),\n",
    "                       (\"1\", \"3\", 10), (\"2\", \"3\", 5), \n",
    "                       (\"2\", \"4\", 20), (\"3\", \"4\", 14),\n",
    "                       (\"3\", \"2\", 5)]\n",
    "nodes_pos = {\"0\":(1,7),\"1\":(5,1),\"2\":(5,13),\"3\":(9,7),\"4\":(11,13)}\n",
    "h_graph = SearchGraph(node_list, weighted_edges_list, \"0\", \"4\", 5, nodes_pos)\n",
    "h_graph.show_graph()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "如果使用深度优先搜索求状态 0 到状态 4 的一条路径,我们可以用下表来模拟搜索过程。注意:在下表中,结点的深度定义为它对应路径中状态转移的次数,如果多个未访问结点的深度相同,那么在这个例子里算法优先选择状态编号大的节点。\n",
    "\n",
    "|步骤|当前状态|当前未访问节点集合(用上划线标出了下一个扩展的节点)|\n",
    "|:--:|:--:|:--|\n",
    "|1|0|深度1:${0 -> 1,\\overline{0 -> 2}}$|\n",
    "|2|2|深度1:${0 -> 1}$ 深度2:$\\underline{(1)}$|\n",
    "|3|$\\underline{(2)}$|找到路径:0 -> 2 -> 4|"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**问题 1**:请仔细观察上表中各项内容的含义,根据深度优先搜素的思路,横线(1)和(2)处应该填写什么。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**答案 1**:(在此处填写你的答案。)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**问题 2**:找到的路径0->2->4是代价最小的吗?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**答案 2**:(在此处填写你的答案。)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 扩展阅读\n",
    "1. [Introduction to the A* Algorithm](https://www.redblobgames.com/pathfinding/a-star/introduction.html)\n",
    "2. [游戏开发中的人工智能:A* 路径寻找算法](https://blog.csdn.net/Jurbo/article/details/75532885)\n",
    "3. [A* Search Algorithm](https://www.101computing.net/a-star-search-algorithm/)\n",
    "4. [A star Pathfinding A星寻路算法](https://www.bilibili.com/video/av32847834/)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}