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/ 02.01 基于搜索的问题求解.ipynb

02.01 基于搜索的问题求解.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": [
    "<br>"
   ]
  },
  {
   "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": [
    "<br>"
   ]
  },
  {
   "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": [
    "<br>"
   ]
  },
  {
   "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": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 首先导入必要的包\n",
    "from search import Graph\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": 5,
   "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",
    "# 实例化图\n",
    "g = Graph()\n",
    "g.add_nodes_from(node_list)\n",
    "g.add_weighted_edges_from(weighted_edges_list)\n",
    "g.set_nodes_pos(nodes_pos)\n",
    "\n",
    "# 设置起点\n",
    "g.set_start_node('A')\n",
    "# 设置目标点\n",
    "g.set_target_node(\"G\")\n",
    "# 设置最大搜索深度\n",
    "g.set_max_depth(3)\n",
    "\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": [
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在详细描述搜索算法之前,先看看下面四个重要的概念。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "+ **状态**。状态可以认为是搜索算法在某一时刻所处的位置,相应地,搜索算法在开始和结束时所处的位置成为**初始状态**和**终止状态**。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "+ **测试目标**。用于判断当前状态是不是目标状态。例如在此问题中目标点是 G,因此目标测试只需要判断当前状态是否为 G 即可。当然,即使到达了目标状态,找到路径也未必是代价最小的。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "+ **动作**。动作指的是搜索算法从一个状态转变到另外一个状态所采取的行为。一般假设在每个状态下所能够采取的行为数量都是有限的。例如:在起点 A,只有 B 和 C 两个节点与之相连,所以只有转移到 B 或者转移到 C 这两种选择。一般情况从一个状态到另外一个状态的过程叫做**状态转移**。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "+ **路径**。完成一系列连续的状态转移所得到的状态序列,就构成了从起点到终点的路径,如从状态 A 到状态 B,接着到状态 D,最后到状态 G,就形成了A -> B -> D  -> G 这样的一条路径。很显然,路径的总代价,等于路径上各个节点之间代价的总和。在路径搜索问题中,任何一条路径的代价都不会是负数。\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "看下图,理解上面的四个概念。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "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": [
    "<br>"
   ]
  },
  {
   "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": [
    "<br>"
   ]
  },
  {
   "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。\n",
    "\n",
    "\n",
    "在搜索算法中,从当前状态出发寻找后续节点,一般会面临多种选择。比如上例中,从 A 出发,可以选择 B 或者 C;从 B 出发,可以选择 A、D、E 或者 F;从 C 出发,可以选择 A 或 D,可见状态之间这种转移构成的如下图的分层树状结构,该结构称为**搜索树**。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "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": [
    "g.show_search_tree()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在搜索树中,每个结点可用一个状态来标记,表示从根节点出发,经过怎样的路径到达该节点,两个节点之间的连线表示这两个节点之间存在状态转移。搜索树状态中,由于每个结点这种状态来标记,因此可能存在两个拥有相同标记的节点,但其含义不同。\n",
    "\n",
    "*注意:路径搜索不能出现回路。*\n",
    "\n",
    "搜索算法从初始节点出发,不断选择后续节点,完成了搜索树的构造。一开始,搜索树中只有根节点,在每一步中搜索算法将选择与搜索树中某个节点相邻的一个后续节点加入搜索树,这个操作叫做**扩展一个节点**。\n",
    "\n",
    "能够扩展的节点需满足条件:\n",
    "+ 该节点不能已经在搜索树中,即该节点不能已经被扩展过;\n",
    "+ 该节点能够从搜索树中某个节点出花通过执行一个动作抵达,被扩展节点和搜索树节点的某个节点是相邻的。  \n",
    "\n",
    "这些能够被扩展的节点构成的集合称为**未访问节点集合**。\n",
    "\n",
    "于是,搜索算法的每一步操作可以做如下描述:  \n",
    "每次选择未访问节点集合中的一个节点加入当前搜索树,检查这个节点所有后续相邻节点,将满足条件的节点加入未访问节点集合中,重复执行上述操作,直至被扩展的节点对应一条从初始节点到终止结点的路径。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>"
   ]
  },
  {
   "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": [
    "<br>"
   ]
  },
  {
   "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**总是沿着某个分支进行搜索、直至不能再深入为止,即优先扩展搜索树当前未访问节点集合中最深的节点。深度优先搜索算法在搜索过程中总是倾向于沿着一条分支前进,直到该分支上所有的节点都被访问完,再返回上一层进行另一轮深度优先搜索。"
   ]
  },
  {
   "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": [
    "g.animate_search_tree('dfs')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**广度优先搜索**总是优先扩展为访问节点集合中最浅的节点,在执行中倾向于优先把同一层的所有可能节点访问完后再考虑进行更深的探索。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>"
   ]
  },
  {
   "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": [
    "g.animate_search_tree('bfs')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "需要强调的是,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),那么排除了回路的深度优先搜索和广度优先搜索均能找到一个答案,但是这个找到的答案不一定是最优的,例如距离最短。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>"
   ]
  },
  {
   "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": [
    "<br>"
   ]
  },
  {
   "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": [
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在搜索过程中利用问题的定义以外**辅助信息**的搜索算法称为**启发式搜索算法**,或者叫**有信息的搜索算法**。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在路径搜索问题中,可引入任意一个节点与目标节点之间的直线距离,作为辅助信息,来提升搜索算法的效率。根据这一想法,可以设计一个直观的最短路径搜索算法:算法从初始节点开始,每一步都将未访问节点集合中离目标节点直线距离最近的节点加入搜索树,直至到达目标站点,这个算法称为**贪婪最佳优先搜索**。\n",
    "\n",
    "**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",
    "贪婪最佳优先算法搜索过程如下:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "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": [
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "但是在“贪婪”机制下找到的路径 A -> C -> D -> G 并非最短路径。产生这样的搜索结果,其原因是:最佳优先算法在当前节点时,每次均贪婪的从当前节点相邻的节点中选择**与目标节点直线距离最近的节点**,作为后续节点。这样就会造成贪婪最佳优先算法**过于重视当前的最优,而忽视了全局最优**。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "另一种启发式搜索算法—— A\\* 算法克服了这一不足。"
   ]
  },
  {
   "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": [
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "其算法思路是:将初始节点到目标节点的距离分成两部分,\n",
    "- 初始节点到当前节点的路径代价;\n",
    "- 当前节点到目标节点之间的直线距离。将两者之和作为评价函数的取值大小。\n",
    "\n",
    "具体而言,对于未访问节点集合中某个节点 n,A\\* 算法评价节点 n 取值大小的评价函数 f(n) 由两部分构成:\n",
    "+ 函数 g(n): 表示从初始节点到当前节点 n 的实际距离,\n",
    "+ 函数 h(n): 表示当前节点 n 到目标节点的直线距离。函数 h(n) 也称为**启发函数**。\n",
    "\n",
    "\n",
    " A\\* 算法搜索过程:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "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": "markdown",
   "metadata": {},
   "source": [
    "<br>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "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": [
    "与贪婪最佳优先算法不一定能够找到最短路径不同,A\\* 算法找到的路径一定是最短路径;另一方面,由于A\\* 算法能够利用辅助信息,因此它比其他算法用更少的步骤。\n",
    "\n",
    "在实际中,A\\* 算法的性能表现取决于启发函数的设计,只要定义一个合适的启发函数,A\\* 算法就能够大幅缩减搜索所需的时间。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>"
   ]
  },
  {
   "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": null,
   "metadata": {},
   "outputs": [],
   "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\", 3, 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|\n",
    "\n",
    "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,在横线(1)和(2)处填写内容。问找到的路径0->2->4是代价最小的吗?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "答案 1:\n",
    "\n",
    "(1)$2->3,\\overline{2->4}$  \n",
    "(2)4  \n",
    "\n",
    "答案 2:\n",
    "\n",
    "不是,代价最小为29,其路径为:0->2->3->4 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 查看 dfs 的搜索过程\n",
    "h_graph.animation_search_tree('dfs')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>"
   ]
  },
  {
   "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/)\n",
    " "
   ]
  }
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