diff --git a/reaction_abc/reaction_notebook.ipynb b/reaction_abc/reaction_notebook.ipynb new file mode 100644 index 0000000..e44be9f --- /dev/null +++ b/reaction_abc/reaction_notebook.ipynb @@ -0,0 +1,1243 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Inferring reaction constants using ABC" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this notebook, we will simulate a simple enzyme reaction that uses mass-action stochastic kinetics. The objective is to demonstrate and explore the use of ABC techniques to infer the reaction constants of a toy reaction. The notebook begins with a brief introduction and explanation of the simulator model. This is followed by ABC inference using Rejection sampling and BOLFI. The notebook concludes with an analysis of the results." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Introduction" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The simple enzyme-catalysed reaction that we will simulate is as follows:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"Reaction" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The reaction uses the enzyme E to facilitate the conversion of substrate S into product P. C is the intermediate enzyme-substrate complex. c1, c2 and c3 are the three reaction constants that we will infer. We assume that the reaction follows mass-action stochastic kinetics. Mass action describes the behavior of reactants and products in an elementary chemical reaction. Mass action kinetics describes this behavior as an equation where the velocity or rate of a chemical reaction is directly proportional to the concentration of the reactants.\n", + "To simulate this reaction, we shall use the popular Gillespie algorithm. The Gillespie algorithm will generate a statistically 'correct' trajectory or a possible solution. We shall avoid going into details and summarise the Gillespie algorithm as performing the following steps:\n", + "1. Initialisation\n", + "2. Monte Carlo step\n", + "3. Update\n", + "4. Iterate\n", + "\n", + "Refer to Wikipedia or the book 'Stochastic Modelling for Systems Biology' by Darren J. Wilkinson for a detailed discussion on this. \n", + "For the purposes of this case-study, we shall assume that the intial concentrations are S = 1000 molecules, E = 50 molecules, C = 0 molecules and P = 0 molecules. Also, c1 corresponds to a second order reaction and c2 as well as c3 correspond to a first order reaction. The hazard function in the Gillespie algorithm has been defined accordingly for simplicity. In systems biology, it is common to use Petri nets which are a mathematical framework for modelling reactions. They provide a matrix formalism where the 'Pre' matrix defines the stoichiometry of the reactants, 'Post' matrix defines the stochiometry of the products and 'M' is the initial state of the species involved." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Model specification" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Import necessary files\n", + "import scipy.stats as ss\n", + "import numpy as np\n", + "\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "import random as rd\n", + "import logging\n", + "logging.basicConfig(level=logging.INFO)\n", + "from mpl_toolkits.mplot3d import Axes3D\n", + "\n", + "%matplotlib inline\n", + "\n", + "seed = 1\n", + "np.random.seed(seed)\n", + "\n", + "import elfi" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Create the Gillespie simulator" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def gillespie(n_species, n_reactions, Pre, Post, M, c, tspan):\n", + " \n", + " # Function that performs the Gillespie simulation\n", + " \n", + " # Input:\n", + " # n_species - number of species\n", + " # n_reactions - number of reactions\n", + " # Pre - matrix defining the stoichiometry of the reactants\n", + " # Post - matrix defining the stoichiometry of the products\n", + " # M - matrix defining the initial state\n", + " # c - array containing the reactuon constants\n", + " # tspan - array defining the time span\n", + " \n", + " # Output:\n", + " # t - array containing time of simulation\n", + " # x - simulation matrix with n_species rows\n", + " \n", + " S = np.transpose(Post - Pre);\n", + " max_reactions = 100000\n", + " t = np.zeros((1, max_reactions))\n", + " x = np.zeros((n_species, max_reactions))\n", + " # column vector\n", + " current_state = M\n", + " current_time = tspan[0]\n", + " rates = np.zeros((3,1))\n", + " rd.seed(1234)\n", + " for index in range(1,max_reactions+1):\n", + " t[0,index-1] = current_time\n", + " x[:,index-1] = current_state\n", + " rates[0] = c[0] * current_state[0] * current_state[1]\n", + " rates[1] = c[1] * current_state[2]\n", + " rates[2] = c[2] * current_state[2]\n", + " \n", + " current_time = current_time - np.log(rd.random())/(np.sum(rates) + 10e-10)\n", + " if (current_time > tspan[1]):\n", + " break;\n", + " \n", + " arr = np.cumsum(rates)/np.sum(rates)\n", + " rand_num = rd.random()\n", + " reaction = [i for (i, val) in enumerate(arr) if val > rand_num]\n", + " reaction = reaction[0]\n", + "\n", + " current_state = current_state + S[:, reaction];\n", + " \n", + " t = t[0:index]\n", + " x = x[:,0:index]\n", + " return [t, x]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Create a helper function for the time-span." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def get_time(c1, c2, c3):\n", + " \n", + " # Function that returns the simulation time span\n", + " \n", + " # Input:\n", + " # c1 - reaction constant for the first reaction.\n", + " # c2 - reaction constant for the second reaction.\n", + " # c3 - reaction constant for the third reaction.\n", + " \n", + " # Output:\n", + " # t - array containing time of simulation\n", + " \n", + " c = np.array([c1, c2, c3])\n", + " Pre = np.array([[1, 1, 0, 0], [0, 0, 1, 0], [0, 0, 1, 0]])\n", + " Post = np.array([[0, 0, 1, 0], [1, 1, 0, 0], [0, 1, 0, 1]])\n", + " M = np.array([1000, 50, 0, 0])\n", + " tspan = np.array([0, 200])\n", + " [t, x] = gillespie(4, 3, Pre, Post, M, c, tspan)\n", + " \n", + " return t" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Create a wrapper for the simulator so that it can be used by ELFI." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def sim(c1, c2, c3, batch_size=1, random_state=None): \n", + " \n", + " # Function defining the simulator.\n", + " \n", + " # Input:\n", + " # c1 - reaction constant for the first reaction.\n", + " # c2 - reaction constant for the second reaction.\n", + " # c3 - reaction constant for the third reaction.\n", + " # batch_size - ELFI specific keyword.\n", + " # random_state - ELFI specific keyword.\n", + " \n", + " # Output:\n", + " # x - simulation matrix with n_species rows\n", + " \n", + " c = np.array([c1, c2, c3])\n", + " Pre = np.array([[1, 1, 0, 0], [0, 0, 1, 0], [0, 0, 1, 0]])\n", + " Post = np.array([[0, 0, 1, 0], [1, 1, 0, 0], [0, 1, 0, 1]])\n", + " M = np.array([1000, 50, 0, 0])\n", + " tspan = np.array([0, 200])\n", + " [t, x] = gillespie(4, 3, Pre, Post, M, c, tspan)\n", + " return x" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We shall now define prior distributions for the unknown parameters. For simplicitly, we shall just use uniform priors. However, given the nature of this problem more informative priors would give better results. We proceed to create the 'true model' by specifying a set of reaction constants which we try to infer later. Also, the simulator node is generated below." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# create prior nodes\n", + "c1 = elfi.Prior('uniform', 0, 2, name='c1')\n", + "c2 = elfi.Prior('uniform', 0, 2, name='c2')\n", + "c3 = elfi.Prior('uniform', 0, 2, name='c3')\n", + "\n", + "# create the true model by specifying the reaction constants\n", + "# that we are trying to infer.\n", + "x_obs = sim(0.1, 1, 1)\n", + "time = get_time(0.1, 1, 1)\n", + "\n", + "# create the simulator node\n", + "X = elfi.Simulator(sim, c1, c2, c3, observed = x_obs)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Below, we visualise the true model." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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/komeNJC24VXzxqcu32NjGlWZGWNI+/tvDj38CClLlxJw6aU0mDmTlls2U6Xv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\nXSgqKcKiLYz5cQzxWfG0C2iHj4sPt7W+jcfWPUafpn1Ye3wtYEyVndR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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(8,6))\n", + "plt.plot(time[0,0:x_obs.shape[1]], x_obs[0,:], label='S')\n", + "plt.plot(time[0,0:x_obs.shape[1]], x_obs[1,:], label='E' )\n", + "plt.plot(time[0,0:x_obs.shape[1]], x_obs[2,:], label='C')\n", + "plt.plot(time[0,0:x_obs.shape[1]], x_obs[3,:], label='P')\n", + "plt.legend()\n", + "plt.xlabel('Time (in ms)')\n", + "plt.ylabel('Count')\n", + "plt.title('True model of the stochastic enzyme reaction')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For this study, we shall use the auto-covariances with lags 1 and 2 as the summary statistics. A summary statistic is defined for each of the reactants." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Summary statistic for S\n", + "def autocov_1(x, lag=1):\n", + " C = np.mean(x[0,lag:] * x[0,:-lag])\n", + " return C\n", + "\n", + "# Summary statistic for E\n", + "def autocov_2(x, lag=1):\n", + " C = np.mean(x[1,lag:] * x[1,:-lag])\n", + " return C\n", + "\n", + "# Summary statistic for C\n", + "def autocov_3(x, lag=1):\n", + " C = np.mean(x[2,lag:] * x[2,:-lag])\n", + " return C\n", + "\n", + "# Summary statistic for P\n", + "def autocov_4(x, lag=1):\n", + " C = np.mean(x[3,lag:] * x[3,:-lag])\n", + " return C" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The functions defined above are used to create the summary nodes." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# create the summary nodes\n", + "\n", + "# summary nodes of S\n", + "S1 = elfi.Summary(autocov_1, X, name='S1')\n", + "S2 = elfi.Summary(autocov_1, X, 2, name='S2')\n", + "\n", + "# summary nodes of E\n", + "S3 = elfi.Summary(autocov_2, X, name='S3')\n", + "S4 = elfi.Summary(autocov_2, X, 2, name='S4')\n", + "\n", + "# summary nodes of C\n", + "S5 = elfi.Summary(autocov_3, X, name='S5')\n", + "S6 = elfi.Summary(autocov_3, X, 2, name='S6')\n", + "\n", + "# summary nodes of P \n", + "S7 = elfi.Summary(autocov_4, X, name='S7')\n", + "S8 = elfi.Summary(autocov_4, X, 2, name='S8')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We choose the discrepancy as the common Euclidean L2-distance." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# create the distance node\n", + "d = elfi.Distance('euclidean', S1, S2, S3, S4, S5, S6, S7, S8)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can visualise the inference model as a directed acyclic graph." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "%3\n", + "\n", + "\n", + "\n", + "c1\n", + "\n", + "c1\n", + "\n", + "\n", + "\n", + "X\n", + "\n", + "X\n", + "\n", + "\n", + "\n", + "c1->X\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "c2\n", + "\n", + "c2\n", + "\n", + "\n", + "\n", + "c2->X\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "c3\n", + "\n", + "c3\n", + "\n", + "\n", + "\n", + "c3->X\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "S1\n", + "\n", + "S1\n", + "\n", + "\n", + "\n", + "X->S1\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "S2\n", + "\n", + "S2\n", + "\n", + "\n", + "\n", + "X->S2\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "S3\n", + "\n", + "S3\n", + "\n", + "\n", + "\n", + "X->S3\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "S4\n", + "\n", + "S4\n", + "\n", + "\n", + "\n", + "X->S4\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "S5\n", + "\n", + "S5\n", + "\n", + "\n", + "\n", + "X->S5\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "S6\n", + "\n", + "S6\n", + "\n", + "\n", + "\n", + "X->S6\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "S7\n", + "\n", + "S7\n", + "\n", + "\n", + "\n", + "X->S7\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "S8\n", + "\n", + "S8\n", + "\n", + "\n", + "\n", + "X->S8\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "d\n", + "\n", + "d\n", + "\n", + "\n", + "\n", + "S1->d\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "S2->d\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "S3->d\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "S4->d\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "S5->d\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "S6->d\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "S7->d\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "S8->d\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# visualise the inference model\n", + "elfi.draw(d)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Inference with rejection sampling" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we shall perform inference using rejection sampling. The simplest ABC algorithm samples parameters from their prior distributions, runs the simulator with these and compares them to the observations. The samples are either accepted or rejected depending on how large the distance is. The accepted samples represent samples from the approximate posterior distribution.\n", + "This part is time consuming and can take significant amount of time depending on the number of samples drawn. Note: number of samples = N/quantile." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 34min 12s, sys: 12.3 s, total: 34min 24s\n", + "Wall time: 35min 17s\n" + ] + } + ], + "source": [ + "# set up rejectiopn sampling by providing the distance node\n", + "rej = elfi.Rejection(d, batch_size=1)\n", + "\n", + "# specify number of samples returned\n", + "N = 1000\n", + "\n", + "# note: total number of samples drawn = N/quantile. So in this case,\n", + "# 10000 samples are drawn\n", + "%time result = rej.sample(N, quantile=0.1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can view a summary of the results below:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Method: Rejection\n", + "Number of samples: 1000\n", + "Number of simulations: 10000\n", + "Threshold: 1.55e+04\n", + "Sample means: c1: 0.715, c2: 1.58, c3: 2.05\n" + ] + } + ], + "source": [ + "result.summary()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can plot the marginal distribution of each of the unknown parameters:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([,\n", + " ,\n", + " ], dtype=object)" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.plot_marginals()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can also generate a 3-dimensional scatter plot of the unknown parameter samples:" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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f7pdpUnmDrG7idajlc4P26sycvGGhSFK5AVuTJSwbCoa1L8LQaivD0fLyMo888gjpdJpo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\nJql4Rmit6zrRaLQ4CZ4J4ysrK1uxhX82Ejm7sX3m3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8veAgy4HIzH89zUUc2jp6aYSOSR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\ngSA6lSFP7BzgA+c3FH/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QCAQCBAKWBkpV1cJ2WiKRwOv1FpyNl9pHaz6wSSJ/clMjT7YO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TNbrB22E2HrOV/bibBvBXRC19bWhttdWJjvrcBm75hsDVckEsHlclFbW3uo51SMqlEpE45S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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "samples = result.samples_array\n", + "fig = plt.figure(figsize=(10,10))\n", + "ax = fig.add_subplot(111, projection='3d')\n", + "ax.scatter(samples[:,0], samples[:, 1], samples[:, 2])\n", + "ax.set_xlabel('c1')\n", + "ax.set_ylabel('c2')\n", + "ax.set_zlabel('c3')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plugging in the inferred reaction constants, we can visualise the reaction model." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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FhcSPGkXWEvM6Fj79+uHesiXONULwbN8eBzfpeqzsJAHYgAOnMun7yfrS7ftvDOPd/k0N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\nAEIIYaf+H+T4JqR7eUL0AAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# run Gillespie on inferred value\n", + "x_inf = sim(np.mean(samples[:,0]), np.mean(samples[:,1]), np.mean(samples[:, 2]))\n", + "plt.plot(time[0,0:x_inf.shape[1]], x_inf[0,:])\n", + "plt.plot(time[0,0:x_inf.shape[1]], x_inf[1,:])\n", + "plt.plot(time[0,0:x_inf.shape[1]], x_inf[2,:])\n", + "plt.plot(time[0,0:x_inf.shape[1]], x_inf[3,:])\n", + "plt.xlabel('Time (in ms)')\n", + "plt.ylabel('Count')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Further analysis with rejection sampling" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can try to improve the inference by drawing 100000 samples instead. We decrease the quantile as well and hence the effective number of samples will be 1000. This takes time and was performed on Triton. Below, we simply load the resulting samples." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Method: Rejection\n", + "Number of samples: 1000\n", + "Number of simulations: 100000\n", + "Threshold: 8.01e+03\n", + "Sample means: c1: 0.0942, c2: 1.29, c3: 1.32\n" + ] + } + ], + "source": [ + "# load the ArrayPool which was generated on Triton\n", + "# NOTE: replace with generated pool!\n", + "arraypool = elfi.ArrayPool.open('arraypool_3731595168')\n", + "# re-create the rejection object\n", + "rej = elfi.Rejection(d, batch_size=1, pool=arraypool)\n", + "N = 1000\n", + "# re-create the result object\n", + "result = rej.sample(N, quantile=0.01)\n", + "result.summary()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can also play around with the Summary statistics. In the next analysis, the summary statistics with lag greater than 1 were removed. That is, we omit S2, S4, S6 and S8. We draw 100000 samples and again run it on Triton as it is time consuming. Below, we simply load the samples." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sample means: c1: 0.089351, c2: 1.293059, c3: 1.319681\n" + ] + } + ], + "source": [ + "# NOTE: replace with generated samples file!\n", + "samples = np.load('rej_mod_samples.npy')\n", + "samples_mean = np.mean(samples, axis=0)\n", + "print('Sample means: c1: %f, c2: %f, c3: %f' %(samples_mean[0], samples_mean[1], samples_mean[2]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Inference with BOLFI" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can begin the inference with BOLFI by first taking the log of the distance:" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "log_d = elfi.Operation(np.log, d)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Then, the BOLFI inference can be set up" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "bolfi = elfi.BOLFI(log_d, batch_size=1, initial_evidence=20, update_interval=10,\n", + " bounds={'c1':(0, 2), 'c2':(0, 2), 'c3':(0, 2)}, acq_noise_var=[0.1, 0.1, 0.1], seed=seed)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Below, we fit the surrogate model" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO:elfi.methods.parameter_inference:BOLFI: Fitting the surrogate model...\n", + "INFO:elfi.methods.posteriors:Using optimized minimum value (8.7476) of the GP discrepancy mean function as a threshold\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 33 s, sys: 364 ms, total: 33.4 s\n", + "Wall time: 33.6 s\n" + ] + } + ], + "source": [ + "%time post = bolfi.fit(n_evidence=100)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Then, we can perform the sampling" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO:elfi.methods.posteriors:Using optimized minimum value (8.7476) of the GP discrepancy mean function as a threshold\n", + "INFO:elfi.methods.mcmc:NUTS: Performing 1000 iterations with 500 adaptation steps.\n", + "INFO:elfi.methods.mcmc:NUTS: Iterations performed: 500/1000...\n", + "INFO:elfi.methods.mcmc:NUTS: Adaptation/warmup finished. Sampling...\n", + "INFO:elfi.methods.mcmc:NUTS: Acceptance ratio: 0.069. After warmup 476 proposals were outside of the region allowed by priors and rejected, decreasing acceptance ratio.\n", + "INFO:elfi.methods.mcmc:NUTS: Performing 1000 iterations with 500 adaptation steps.\n", + "INFO:elfi.methods.mcmc:NUTS: Iterations performed: 500/1000...\n", + "INFO:elfi.methods.mcmc:NUTS: Adaptation/warmup finished. Sampling...\n", + "INFO:elfi.methods.mcmc:NUTS: Acceptance ratio: 0.072. After warmup 487 proposals were outside of the region allowed by priors and rejected, decreasing acceptance ratio.\n", + "INFO:elfi.methods.mcmc:NUTS: Performing 1000 iterations with 500 adaptation steps.\n", + "INFO:elfi.methods.mcmc:NUTS: Iterations performed: 500/1000...\n", + "INFO:elfi.methods.mcmc:NUTS: Adaptation/warmup finished. Sampling...\n", + "INFO:elfi.methods.mcmc:NUTS: Acceptance ratio: 0.081. After warmup 482 proposals were outside of the region allowed by priors and rejected, decreasing acceptance ratio.\n", + "INFO:elfi.methods.mcmc:NUTS: Performing 1000 iterations with 500 adaptation steps.\n", + "INFO:elfi.methods.mcmc:NUTS: Iterations performed: 500/1000...\n", + "INFO:elfi.methods.mcmc:NUTS: Adaptation/warmup finished. Sampling...\n", + "INFO:elfi.methods.mcmc:NUTS: Acceptance ratio: 0.057. After warmup 470 proposals were outside of the region allowed by priors and rejected, decreasing acceptance ratio.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4 chains of 1000 iterations acquired. Effective sample size and Rhat for each parameter:\n", + "c1 33.333569642 1.07869884446\n", + "c2 21.9767878884 1.25765969746\n", + "c3 138.329642403 1.00809446586\n", + "CPU times: user 4min 26s, sys: 33.5 s, total: 5min\n", + "Wall time: 4min 29s\n" + ] + } + ], + "source": [ + "%time result_BOLFI = bolfi.sample(1000, info_freq=500)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can view a summary of the result below:" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Method: BOLFI\n", + "Number of samples: 2000\n", + "Number of simulations: 100\n", + "Threshold: 8.75\n", + "Sample means: c1: 0.63, c2: 0.938, c3: 1.49\n" + ] + } + ], + "source": [ + "result_BOLFI.summary()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can plot the discrepancy for each of the unknowns:" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "bolfi.plot_discrepancy()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Also, we can visualise the histograms of the unknown parameters that were sampled." + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result_BOLFI.plot_marginals()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can also generate a 3-dimensional scatter plot of the unknown parameter samples:" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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A+5bVNo4QkeFof8kwJO27rZqkGzHDq6pYLDI2NsZzzz23p83jGmGrMGTbNgMD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iPpMvd/YAsf+IdX6zqJuXAEWLbAtBx8LpVowE1Hg4+K5dAYcOPRFI5NFdjQESZTNBidTtEW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\niTyWBa0VvjW1yGD9NUOl4lqQW5gvxN60aRMnTpwgGAwuEmJHo1G83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vFUwRG2r4QvPTvE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ZWaGpqSlvdF9/XZnVxG9fbCWUyAYk6zrA3IpgIpHA5/MxMjJCOp02KhSb6VrOtrhRbrPQ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\n1P4fqfdh4Vle6NYAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "samples = result_BOLFI.samples_array\n", + "fig = plt.figure(figsize=(10,10))\n", + "ax = fig.add_subplot(111, projection='3d')\n", + "ax.scatter(samples[:,0], samples[:, 1], samples[:, 2])\n", + "ax.set_xlabel('c1')\n", + "ax.set_ylabel('c2')\n", + "ax.set_zlabel('c3')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plugging in the inferred reaction constants, we can visualise the reaction model." + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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W8oeALGv5dOt+wo6ZS0s5+djjJI9/CYCwWTOp/9abhi3e1i7cnyOT+1Vsv/rT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\nNQZHJoTtSM0tpuPrqyu2t77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LOAbHVsOBHy37XP8S/HVfb7MJ8k5ZWrihbcDJFfJSLK2k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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# run Gillespie on inferred value\n", + "x_inf = sim(np.mean(samples[:,0]), np.mean(samples[:,1]), np.mean(samples[:, 2]))\n", + "plt.plot(time[0,0:x_inf.shape[1]], x_inf[0,:])\n", + "plt.plot(time[0,0:x_inf.shape[1]], x_inf[1,:])\n", + "plt.plot(time[0,0:x_inf.shape[1]], x_inf[2,:])\n", + "plt.plot(time[0,0:x_inf.shape[1]], x_inf[3,:])\n", + "plt.xlabel('Time (in ms)')\n", + "plt.ylabel('Count')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Further analysis with BOLFI" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can try to improve the inference by increasing the number of samples per chain to 4000. Also, we can increase the number of evidence points in the surrogate model as well. This takes time and was performed on Triton. Below, we simply load the resulting samples." + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sample means: c1: 0.191276, c2: 1.428071, c3: 1.427412\n" + ] + } + ], + "source": [ + "# NOTE: replace with generated samples file!\n", + "samples = np.load('bolfi_samples.npy')\n", + "samples_mean = np.mean(samples, axis=0)\n", + "print('Sample means: c1: %f, c2: %f, c3: %f' %(samples_mean[0], samples_mean[1], samples_mean[2]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Similar to rejection sampling, we can also play around with the Summary statistics. In the next analysis, the summary statistics with lag greater than 1 were removed. That is, we omit S2, S4, S6 and S8. We draw 4000 samples per chain and again run it on Triton as it is time consuming. Below, we simply load the samples." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sample means: c1: 0.761691, c2: 0.959110, c3: 1.314841\n" + ] + } + ], + "source": [ + "# NOTE: replace with generated samples file!\n", + "samples = np.load('bolfi_mod_samples.npy')\n", + "samples_mean = np.mean(samples, axis=0)\n", + "print('Sample means: c1: %f, c2: %f, c3: %f' %(samples_mean[0], samples_mean[1], samples_mean[2]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Summary" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We have created an inference model using ELFI to infer reaction constants of a simple stochastic enzyme reaction and have compared the results using rejection sampling as well as BOLFI.\n", + "\n", + "From the above two inference techniques, we can see that BOLFI takes significantly less time than rejection sampling and produces comparable (and sometimes better results). The overall accuracy using ABC in inferring the reaction constants may not be very high. However, better results can be obtained by using more samples and using more informative priors. Also, further tuning of experiment settings will yield better results, but this is beyond the scope of this case study and can be done as future work." + ] + } + ], + "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": "3.6.0" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}