{ "cells": [ { "cell_type": "markdown", "id": "72d8a4a5", "metadata": {}, "source": [ "#### Markov chains\n", "\n", "The truth is that when we want to study real phenomena we must, sooner or later, deal with a certain level of uncertainty. And the only way to deal with it is by gaining an accurate estimate of the probability that rules our process.\n", "\n", "Markov Chains are an excellent way to do it. The idea that is behind the Markov Chains is extremely simple:\n", "\n", "Everything that will happen in the future only depends on what is happening right now\n", "\n", "In mathematical terms, we say that there is a sequence of stochastic variables $X_0, X_1, …, X_n$ that can take values in a certain set A. Then we say that, if the sequence of an event is a Markov Chain, we have:\n", "\n", "$$ P(X_n = a_n | X_{n-1} = a_{n-1},X_{n-2} = a_{n-s}, ..., X_0 = a_0) = P(X_n = a_n | X_{n-1} = a_{n-1}) $$\n", "\n", "And it may sound complicated but it is nothing more than the concept expressed above.\n", "\n", "Another assumption that is made is that the equation is valid for every step (not only the last one), and that the probability is always the same (even though, formally, this is true only for homogeneous Markov chains).\n", "\n", "Now, the set of possible states A is usually indicated as the sample space S, and you can describe the probability of going from a state x in S to a state y in S with the so called transition probability.\n", "\n", "Let's build on our random walk concept, and turn it into a biased random walk where the probability of left/right are not equal." ] }, { "cell_type": "code", "execution_count": 1, "id": "866b8631", "metadata": {}, "outputs": [], "source": [ "from random import *\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "id": "c7eb4f2d-7c55-408a-912b-f3d4efef2ff9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# https://towardsdatascience.com/hands-on-markov-chains-example-using-python-8138bf2bd971\n", "\n", "x = []\n", "# lets make up a series of probabilites *not* 50/50\n", "p = [[0.5,0.5],[0.9,0.1],[0.8,0.2],[0.6,0.4],[0.4,0.6],[0.2,0.8],[0.1,0.9]]\n", "label_p = ['Simple',r'$p=0.9$',r'$p=0.8$',r'$p=0.6$',r'$p=0.4$',r'$p=0.2$',r'$p=0.1$']\n", "n = 10000\n", "x = []\n", "for couple in p:\n", " x_p = []\n", " start = 0\n", " for i in range(n):\n", " step = np.random.choice([-1,1],p=couple)\n", " start = start + step\n", " x_p.append(start)\n", " x.append(x_p)\n", " \n", "i=0\n", "for time_series in x:\n", " plt.plot(time_series, label = label_p[i])\n", " i=i+1\n", "plt.xlabel('Steps',fontsize=20)\n", "plt.ylabel(r'$S_{n}$',fontsize=20)\n", "plt.legend();" ] }, { "attachments": { "1_xnPUZVTCyGf8kdZdiHN9KQ.webp": { "image/webp": 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" } }, "cell_type": "markdown", "id": "72536dae", "metadata": {}, "source": [ "Let's consider another kind of biased random walk, consider the miniverse outlined in the figure below\n", "\n", "![1_xnPUZVTCyGf8kdZdiHN9KQ.webp](attachment:1_xnPUZVTCyGf8kdZdiHN9KQ.webp)\n", "\n", "Kind of a rough place to be. For example, notice if you live in universes 1, 2 or 3 and you leave, you can not go back. These are called transient states. On the other hand, if you start at universes 4 or 5, you can get back, these are called recurrent states.\n", "\n", "Here's the transition matrix for this miniverse:" ] }, { "cell_type": "code", "execution_count": 6, "id": "b1b69105", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0.2, 0.5, 0.3, 0. , 0. ],\n", " [0. , 0.5, 0.5, 0. , 0. ],\n", " [0. , 0. , 1. , 0. , 0. ],\n", " [0. , 0. , 0. , 0. , 1. ],\n", " [0. , 0. , 0. , 0.5, 0.5]])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# transition matrix\n", "\n", "state_1 = [0.2,0.5,0.3,0.0,0.0]\n", "state_2 = [0.0,0.5,0.5,0.0,0.0]\n", "state_3 = [0.0,0.0,0.0,1.0,0.0]\n", "state_4 = [0.0,0.0,0.0,0.0,1.0]\n", "state_5 = [0.0,0.0,0.0,0.5,0.5]\n", "\n", "trans_matrix = [state_1,state_2,state_3,state_4,state_5]\n", "trans_matrix = np.array(trans_matrix)\n", "trans_matrix" ] }, { "attachments": { "dda3aa5b-36b1-4e5e-b7cb-07fd569bcaa6.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "7985fe27-6f93-44b8-8225-07cb457378ee", "metadata": {}, "source": [ "![Screen Shot 2024-05-12 at 5.20.53 PM.png](attachment:dda3aa5b-36b1-4e5e-b7cb-07fd569bcaa6.png)" ] }, { "cell_type": "markdown", "id": "373aea19-4116-4768-89a4-059f69da3fb5", "metadata": {}, "source": [ "Now you can build a transition matrix for this miniverse, but let's consider just universe 2 for a moment. Intuitively, we can see that the probability of coming back to universe 2 starting from universe 2 tends to 0 as the number of steps goes to infinity. And the math is simple, such that:\n", "\n", "$$ p^{(N)}(2,2) = (0.5)^N $$\n", "\n", "Let’s define this theoretical function as t(N), and plot it" ] }, { "cell_type": "code", "execution_count": 5, "id": "f4c9d366", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def t(N):\n", " step = np.arange(1,N+1,1)\n", " y = []\n", " for s in step:\n", " v = 0.5**s\n", " y.append(v)\n", " return y\n", "\n", "plt.plot(t(20))\n", "plt.ylabel(r'$t(N-1)$',fontsize=20)\n", "plt.xlabel(r'$N-1$',fontsize=20);" ] }, { "cell_type": "markdown", "id": "52da68ba-5dcd-435c-9578-0ea9fb2d6fb3", "metadata": {}, "source": [ "Now let's test the theory against a simulation" ] }, { "cell_type": "code", "execution_count": 7, "id": "15060670", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def prob(N):\n", " states = np.arange(1,6,1)\n", " steps = np.arange(1,N+1,1)\n", " n=1000\n", " state_collection = []\n", " for k in range(n):\n", " start = 2 \n", " for i in range(N):\n", " start = np.random.choice(states,p=trans_matrix[start-1])\n", " if start==2:\n", " state_collection.append(1)\n", " else:\n", " state_collection.append(0)\n", " state_collection = np.array(state_collection)\n", " return state_collection.sum()/n\n", "\n", "def p(N):\n", " step = np.arange(1,N+1,1)\n", " y = []\n", " for s in step:\n", " v = prob(s)\n", " y.append(v)\n", " return y\n", "\n", "p_20 = p(20)\n", "plt.plot(t(20),label=r'Theory, $t(N-1)$')\n", "plt.plot(p_20,'x',label=r'Simulation, $p(N-1)$',color='navy')\n", "plt.ylabel(r'Result',fontsize=20)\n", "plt.xlabel(r'$N-1$',fontsize=20)\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 6, "id": "dc22e496", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 7., 18., 7.],\n", " [19., 5., 29.],\n", " [ 5., 30., 3.]])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import mchmm as mc\n", "a = mc.MarkovChain().from_data('AABCABCBAAAACBCBACBABCABCBACBACBABABCBACBBCBBCBCBCBACBABABCBCBAAACABABCBBCBCBCBCBCBAABCBBCBCBCCCBABCBCBBABCBABCABCCABABCBABC')\n", "\n", "a.observed_matrix" ] }, { "cell_type": "code", "execution_count": 7, "id": "27e6aea5-5846-45dd-84f9-ffdbede87cab", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0.21875 , 0.5625 , 0.21875 ],\n", " [0.35849057, 0.09433962, 0.54716981],\n", " [0.13157895, 0.78947368, 0.07894737]])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a.observed_p_matrix" ] }, { "cell_type": "code", "execution_count": 8, "id": "5cab2e21-dd7f-404a-a9f3-9a63e65a2182", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'AABCBCBCAACBCBCBCBAB'" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ids, states = a.simulate(20, start='A', seed=np.random.randint(0, 10, 20))\n", "\n", "\"\".join(states)" ] }, { "cell_type": "code", "execution_count": 9, "id": "1b67127e-22a4-4e54-bcea-9d117728be94", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Import the MarkovChain class from markovchain.py & nodes.py\n", "from markovchain import MarkovChain\n", "mc = MarkovChain(a.observed_p_matrix, ['A', 'B', 'C'])\n", "mc.draw()" ] }, { "cell_type": "code", "execution_count": 12, "id": "09e6fae5-21b8-4e2e-8e2b-70de032ddee5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# how fast to get from A to C?\n", "\n", "ids, states = a.simulate(10, start='A', seed=np.random.randint(0, 10, 10))\n", "tt=[]\n", "for i in range(1000):\n", " ids, states = a.simulate(n=20, start='A')\n", " t=0\n", " for i in range(len(states)):\n", " if states[i] == 'C':\n", " t=i\n", " break\n", " else:\n", " t=-1\n", " tt.append(t)\n", "plt.hist(tt,bins=10);" ] }, { "cell_type": "code", "execution_count": 87, "id": "8a135618", "metadata": {}, "outputs": [], "source": [ "# https://en.wikipedia.org/wiki/PageRank\n", "\n", "def pagerank(M, num_iterations: int = 100, d: float = 0.85):\n", " \"\"\"PageRank algorithm with explicit number of iterations. Returns ranking of nodes (pages) in \n", " the adjacency matrix.\n", "\n", " Parameters\n", " ----------\n", " M : numpy array\n", " adjacency matrix where M_i,j represents the link from 'j' to 'i', such that for all 'j'\n", " sum(i, M_i,j) = 1\n", " num_iterations : int, optional\n", " number of iterations, by default 100\n", " d : float, optional\n", " damping factor, by default 0.85\n", "\n", " Returns\n", " -------\n", " numpy array\n", " a vector of ranks such that v_i is the i-th rank from [0, 1],\n", " v sums to 1\n", "\n", " \"\"\"\n", " N = M.shape[1]\n", " v = np.ones(N) / N\n", " M_hat = (d * M + (1 - d) / N)\n", " for i in range(num_iterations):\n", " v = M_hat @ v\n", " return v\n" ] }, { "cell_type": "code", "execution_count": 89, "id": "ae372519", "metadata": {}, "outputs": [], "source": [ "n = 8 # the number of vertices |V|\n", "\n", "M_1 = np.array([\n", "[ 0, 0, 1/2, 0, 0, 0, 0, 1/8],\n", "[1/2, 0, 0, 0, 0, 0, 0, 1/8],\n", "[ 0, 1/2, 0, 0, 0, 1/2, 0, 1/8],\n", "[ 0, 0, 0, 0, 0, 0, 0, 1/8],\n", "[1/2, 1/2, 1/2, 1, 0, 0, 1/3, 1/8],\n", "[ 0, 0, 0, 0, 1/2, 0, 1/3, 1/8],\n", "[ 0, 0, 0, 0, 1/2, 1/2, 0, 1/8],\n", "[ 0, 0, 0, 0, 0, 0, 1/3, 1/8]])" ] }, { "cell_type": "code", "execution_count": 90, "id": "c8b7e2f9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0.013, 0.013, 0.463, 0.013, 0.013, 0.013, 0.013, 0.125],\n", " [0.463, 0.013, 0.013, 0.013, 0.013, 0.013, 0.013, 0.125],\n", " [0.013, 0.463, 0.013, 0.013, 0.013, 0.463, 0.013, 0.125],\n", " [0.013, 0.013, 0.013, 0.013, 0.013, 0.013, 0.013, 0.125],\n", " [0.463, 0.463, 0.463, 0.912, 0.013, 0.013, 0.312, 0.125],\n", " [0.013, 0.013, 0.013, 0.013, 0.463, 0.013, 0.312, 0.125],\n", " [0.013, 0.013, 0.013, 0.013, 0.463, 0.463, 0.013, 0.125],\n", " [0.013, 0.013, 0.013, 0.013, 0.013, 0.013, 0.312, 0.125]])" ] }, "execution_count": 90, "metadata": {}, "output_type": "execute_result" } ], "source": [ "M_2 = np.ones((n,n))/n\n", "alpha = 1/10\n", "M = (1-alpha)*M_1 + alpha*M_2\n", "M" ] }, { "cell_type": "code", "execution_count": 91, "id": "059166df", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.088, 0.071, 0.131, 0.038, 0.225, 0.172, 0.19 , 0.086])" ] }, "execution_count": 91, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pagerank(M)" ] }, { "cell_type": "code", "execution_count": 92, "id": "c4f265ef-ec8c-418d-9d8a-295f74181329", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from markovchain import MarkovChain\n", "mc = MarkovChain(M, ['1','2','3','4','5','6','7','8'])\n", "mc.draw()" ] }, { "cell_type": "markdown", "id": "6b2f6ff3-01e7-4d8b-a1f6-28653620fbfa", "metadata": {}, "source": [ "Here is another example, with a more complicated transition matrix, for a robot car." ] }, { "attachments": { "Markov-chain-example-using-driver-behavior-transition-probabilities-and-starting-probabilities.webp": { "image/webp": 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" } }, "cell_type": "markdown", "id": "ce0d3454", "metadata": {}, "source": [ "![Markov-chain-example-using-driver-behavior-transition-probabilities-and-starting-probabilities.webp](attachment:Markov-chain-example-using-driver-behavior-transition-probabilities-and-starting-probabilities.webp)" ] }, { "cell_type": "code", "execution_count": 8, "id": "5df7113a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "break\n", "idling\n", "idling\n", "accelerate\n", "break\n", "constant speed\n", "break\n", "idling\n", "idling\n", "accelerate\n" ] } ], "source": [ "import random\n", "\n", "# Define a transition matrix for the Markov chain\n", "transition_matrix = {\n", " 'accelerate': {'accelerate': 0.3, 'constant speed': 0.2, 'idling': 0 , 'break': 0.5 },\n", " 'constant speed': {'accelerate': 0.1, 'constant speed': 0.4, 'idling': 0 , 'break': 0.5 },\n", " 'idling': {'accelerate': 0.8, 'constant speed': 0, 'idling': 0.2 , 'break': 0 },\n", " 'break': {'accelerate': 0.4, 'constant speed': 0.05, 'idling': 0.5 , 'break': 0.05 },\n", "}\n", "\n", "# Define starting probabilities for each state\n", "starting_probabilities = {'accelerate': 0, 'constant speed': 0, 'idling': 0, 'break': 1}\n", "\n", "# Choose the starting state randomly based on the starting probabilities\n", "current_state = random.choices(\n", " population=list(starting_probabilities.keys()),\n", " weights=list(starting_probabilities.values())\n", ")[0]\n", "\n", "# Generate a sequence of states using the transition matrix\n", "num_iterations = 10\n", "for i in range(num_iterations):\n", " print(current_state)\n", " next_state = random.choices(\n", " population=list(transition_matrix[current_state].keys()),\n", " weights=list(transition_matrix[current_state].values())\n", " )[0]\n", " current_state = next_state" ] }, { "attachments": { "051f7404-f1ac-43db-a3e7-a3237e10f68f.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "79c59259-ed15-4c72-898a-fa658ba6a563", "metadata": {}, "source": [ "![Screen Shot 2024-05-05 at 6.20.48 PM.png](attachment:051f7404-f1ac-43db-a3e7-a3237e10f68f.png)" ] }, { "cell_type": "code", "execution_count": 22, "id": "f3aad23a-c242-4e16-b7ba-93f4a1b5cceb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 0 1 2\n", "100 0.263164 0.263164 0.473672\n", "None\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# stationary MC\n", "# https://www.linkedin.com/pulse/markov-chain-simulation-python-herman-scheepers/\n", "\n", "import pandas as pd\n", "from random import seed\n", "from random import random\n", "import matplotlib.pyplot as plt\n", "P = np.array([[0.0, 0.1, 0.9],\n", " [0.1, 0.0, 0.9],\n", " [0.5, 0.5, 0.0]])\n", "state=np.array([[1.0, 0.0, 0.0]])\n", "stateHist=state\n", "dfStateHist=pd.DataFrame(state)\n", "distr_hist = [[0,0,0]]\n", "for x in range(100):\n", " state=np.dot(state,P)\n", " stateHist=np.append(stateHist,state,axis=0)\n", " dfDistrHist = pd.DataFrame(stateHist)\n", "dfDistrHist.plot();\n", "print(print(dfDistrHist.tail(1)))\n" ] }, { "cell_type": "markdown", "id": "9ce257ca-9d1c-4a49-ae4b-d001894866a0", "metadata": {}, "source": [ "The market research indicated produced the following estimated probabilities that a consumer would move from one service provider to another:\n" ] }, { "cell_type": "code", "execution_count": null, "id": "14e39c85-f1ec-44db-b3b1-8ea7b5222339", "metadata": {}, "outputs": [], "source": [ "# https://towardsdatascience.com/markov-chain-analysis-and-simulation-using-python-4507cee0b06e" ] }, { "cell_type": "code", "execution_count": 42, "id": "ca98b07d-6e7c-4c16-a714-f76d0cf09c20", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.19271417, 0.3731985 , 0.17929812, 0.25478901])" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P = np.array([[0.9262, 0.0385, 0.01, 0.0253],\n", " [0.01, 0.94, 0.01, 0.04],\n", " [0.01, 0.035, 0.92, 0.04],\n", " [0.035, 0.035, 0.035, 0.895]])\n", "\n", "A=np.append(np.transpose(P)-np.identity(4),[[1,1,1,1]],axis=0)\n", "b=np.transpose(np.array([0,0,0,0,1]))\n", "np.linalg.solve(np.transpose(A).dot(A), np.transpose(A).dot(b))" ] }, { "cell_type": "code", "execution_count": 41, "id": "e18ba630-090f-4d7f-b00d-01072c5855d1", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "transition_matrix = np.array([[0.7, 0.2, 0.1],\n", " [0.3, 0.6, 0.1],\n", " [0.4, 0.4, 0.2]])\n", "mc = MarkovChain(transition_matrix, ['0','1','2'])\n", "mc.draw()" ] }, { "cell_type": "code", "execution_count": 29, "id": "06953d91-9d61-4e4d-88fb-b5fe85058b4b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "\n", "# Define the states and their probabilities\n", "states = [0, 1, 2]\n", "probabilities = [0.2, 0.5, 0.3]\n", "\n", "# Simulate the Markov chain\n", "n = 100\n", "current_state = np.random.choice(states)\n", "states_list = [current_state]\n", "for i in range(n):\n", " next_state = np.random.choice(states, p=transition_matrix[current_state])\n", " states_list.append(next_state)\n", " current_state = next_state\n", "plt.hist(states_list,bins=3);" ] }, { "cell_type": "code", "execution_count": 30, "id": "5011c5c7-d268-4cec-ad06-69ea0fcac14d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 1000\n", "current_state = np.random.choice(states)\n", "states_list = [current_state]\n", "for i in range(n):\n", " next_state = np.random.choice(states, p=transition_matrix[current_state])\n", " states_list.append(next_state)\n", " current_state = next_state\n", "plt.hist(states_list,bins=3);" ] }, { "cell_type": "code", "execution_count": 39, "id": "9a26daff-846d-4064-86c0-c70061de390b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0 inf nan nan\n", "100 0.60 0.34 0.08\n", "200 0.60 0.32 0.10\n", "300 0.57 0.34 0.10\n", "400 0.57 0.33 0.10\n", "500 0.55 0.35 0.10\n", "600 0.54 0.35 0.10\n", "700 0.53 0.36 0.10\n", "800 0.53 0.36 0.11\n", "900 0.54 0.36 0.10\n", "1000 0.53 0.36 0.11\n", "1100 0.53 0.36 0.11\n", "1200 0.53 0.37 0.10\n", "1300 0.54 0.36 0.10\n", "1400 0.54 0.36 0.10\n", "1500 0.53 0.37 0.10\n", "1600 0.52 0.38 0.10\n", "1700 0.52 0.37 0.11\n", "1800 0.52 0.37 0.11\n", "1900 0.52 0.37 0.11\n", "2000 0.53 0.37 0.10\n", "2100 0.53 0.37 0.10\n", "2200 0.53 0.37 0.10\n", "2300 0.53 0.37 0.10\n", "2400 0.53 0.36 0.10\n", "2500 0.53 0.36 0.10\n", "2600 0.53 0.37 0.10\n", "2700 0.53 0.37 0.11\n", "2800 0.52 0.37 0.11\n", "2900 0.52 0.37 0.11\n", "3000 0.52 0.37 0.11\n", "3100 0.52 0.37 0.11\n", "3200 0.53 0.37 0.11\n", "3300 0.53 0.37 0.11\n", "3400 0.53 0.37 0.11\n", "3500 0.53 0.37 0.11\n", "3600 0.53 0.37 0.11\n", "3700 0.53 0.37 0.11\n", "3800 0.53 0.37 0.11\n", "3900 0.53 0.37 0.11\n", "4000 0.53 0.37 0.10\n", "4100 0.53 0.37 0.10\n", "4200 0.53 0.37 0.10\n", "4300 0.53 0.37 0.11\n", "4400 0.53 0.37 0.11\n", "4500 0.53 0.37 0.11\n", "4600 0.53 0.37 0.11\n", "4700 0.53 0.37 0.11\n", "4800 0.53 0.37 0.11\n", "4900 0.53 0.37 0.11\n" ] } ], "source": [ "n = 5000\n", "current_state = np.random.choice(states)\n", "states_list = [current_state]\n", "for i in range(n):\n", " next_state = np.random.choice(states, p=transition_matrix[current_state])\n", " states_list.append(next_state)\n", " current_state = next_state\n", " if i % 100 == 0:\n", " s=np.array(states_list)\n", " print(i,end=' ')\n", " print('%.2f' % ((s == 0).sum()/i),end=' ')\n", " print('%.2f' % ((s == 1).sum()/i),end=' ')\n", " print('%.2f' % ((s == 2).sum()/i))" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }