{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "On the [puzzlor](http://puzzlor.com/2014-04_SpyCatcher.html) website there is old puzzle that can be solved using Markov Models. The puzzle was posted on April 2014, so the answer and some solutions were already published. This problem will be used to demonstrate usage of Markov Chains and Stochastic Matrices.\n", "\n", "\n", "[![Open In Colab](../images/badges/colab.svg)](https://colab.research.google.com/github/izikeros/blog/blob/master/content/posts/notebooks/2019-08-10-spy-catch.ipynb) [![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/izikeros/blog/master?labpath=content%2Fposts%2Fnotebooks%2F2019-08-10-spy-catch.ipynb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Problem to solve**:\n", "\n", ">Your government has lost track of a high profile foreign spy, and they have requested your help to track him down. As part of his attempts to evade capture, he has employed a simple strategy. Each day the spy moves from the country that he is currently in to a neighboring country.\n", ">The spy cannot skip over a country (for example, he cannot go from Chile to Ecuador in one day). The movement probabilities are equally distributed amongst the neighboring countries. For example, if the spy is currently in Ecuador, there is a 50% chance he will move to Colombia and a 50% chance he will move to Peru. The spy was last seen in Chile and will only move about countries that are in South America. He has been moving about the countries for several weeks." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![south america map](http://safjan.com/images/spycatcher/spycatcher-map.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ ">Question: Which country is the spy most likely hiding in and how likely is it that he is there?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Markov chains\n", "\n", "Markov's chains are mathematical models used to describe systems that change the state from one to another. For example, you can think of simple weather model with two states \"Sunny\" and \"Rainy\" and describe system assigning probabilities of transiting from one state to another and probabilities of staying in the same state." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another example can be Markov chain model of a baby's behavior, with states: \"playing,\" \"eating\", \"sleeping,\" and \"crying\". If you have transition probabilities you can predict e.g., the chance that a baby currently playing will fall asleep in the next five minutes without crying first. For getting the intuition if such model visit: [setosa project - Explained Visually](http://setosa.io/ev/markov-chains/) to see interactive models and visual explanation of Markov Chains.\n", "\n", "![Markov Chain Model with two states: 'A' and 'B' and animated transitions between them](http://safjan.com/images/spycatcher/spycatcher-mc-visually-275px.gif)\n", "\n", "*Figure 1. Sample process with two states: 'A' and 'B' and transitions between them. Probability of transition for state 'A' to 'B' is much lower than probability of transition from state 'B' to 'A'.Example captured from [Explained Visually](http://setosa.io/ev/markov-chains/)*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Preparations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Start with importing modules we will use, and configure them." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "from matplotlib import pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns\n", "import networkx as nx\n", "import warnings\n", "import matplotlib.cbook\n", "\n", "warnings.filterwarnings(\"ignore\", category=matplotlib.cbook.mplDeprecation)\n", "\n", "# limit pandas display precision for better readability\n", "pd.set_option(\"precision\", 2)\n", "\n", "plt.style.use(\"fivethirtyeight\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solution plan" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's distill important information we are given in the problem statement.\n", "1. We are dealing with transitions between discrete states in a finite state space.\n", "2. The spy's strategy is based on random moves - it is a stochastic process.\n", "3. Description of spy's strategy indicate that this stochastic process is memoryless - history doesn't affect next move of the spy. Only current state counts.\n", "\n", "These clued indicate that a Markov chain may be the best way to model the spy's movements.\n", "\n", "Let's begin by creating an adjacency matrix for these countries - a matrix that indicates other countries to which the spy could move from any given country. By convention, this matrix is configured row-wise, so that the matrix element $a_{ij}$ represents whether it is possible for the spy to move to country $j$ (the column) from country $i$ (the row)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create adjacency matrix" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's get South American Country names from Wikipedia using pandas *read_html* method to scrape an article:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['argentina', 'bolivia', 'brazil', 'chile', 'colombia', 'ecuador', 'french guiana', 'guyana', 'paraguay', 'peru', 'suriname', 'uruguay', 'venezuela']\n" ] } ], "source": [ "url = \"http://en.wikipedia.org/wiki/List_of_South_American_countries_by_population\"\n", "south_america = pd.read_html(url, match=\"Country\")[0]\n", "try:\n", " countries = sorted((south_america[\"Country\"][\"Country\"].str.lower())[:13])\n", " countries[6] = \"french guiana\" # shorten original name\n", " print(countries)\n", "except:\n", " # use hardcoded names if scrapping fails\n", " countries = ['argentina', 'bolivia', 'brazil', 'chile', 'colombia', 'ecuador', 'french guiana', 'french guiana', 'guyana', 'paraguay', 'peru', 'suriname', 'uruguay', 'venezuela']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and describe adjacency (country neighbourhood):" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# the rows/cols are for the countries in alphabetical order\n", "adjacency = np.array(\n", " [\n", " [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0],\n", " [1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0],\n", " [1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1],\n", " [1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],\n", " [0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1],\n", " [0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0],\n", " [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],\n", " [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1],\n", " [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n", " [0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0],\n", " [0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0],\n", " [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n", " [0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0],\n", " ]\n", ")\n", "\n", "# sanity check if adjacency matrix is symmetric\n", "assert np.all(adjacency.T == adjacency)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The adjacency matrix can be turned into graph using *networkx* module." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "