{ "cells": [ { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "CmdStan path set to: /mnt/d/nlint/Dropbox/Programs/cmdstan\n", "\n" ] }, { "data": { "text/html": [ "'2.26.0'" ], "text/latex": [ "'2.26.0'" ], "text/markdown": [ "'2.26.0'" ], "text/plain": [ "[1] \"2.26.0\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Packages\n", "libs = c('dplyr','magrittr','tidyr','readxl','MASS','lubridate','openxlsx','scales','data.table',\n", " 'ggplot2','viridis','gridExtra',\n", " 'loo','StanHeaders','cmdstanr')\n", "for (x in libs) {library(x, character.only = T, warn.conflicts = F)}\n", "set_cmdstan_path('/mnt/d/nlint/Dropbox/Programs/cmdstan')\n", "cmdstan_version()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Load datasets\n", "clusters_info <- readRDS(\"../data/clusters_info.rds\")\n", "clusters_df <- readRDS(\"../data/clusters_df.rds\")\n", "key <- readRDS(\"../data/key.rds\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Establish reference date and values\n", "t0 = as.Date(\"2020-01-01\")\n", "daystocalc = 14*3\n", "first_onset_date <- clusters_info %>% pull(firstonset); names(first_onset_date) <- key\n", "last_report_date <- clusters_info %>% pull(lastreport); names(last_report_date) <- key\n", "last_report_day <- as.integer(last_report_date - t0); names(last_report_day) <- key\n", "calc_overall_end_date <- last_report_date + daystocalc - 1; names(calc_overall_end_date) <- key\n", "calc_overall_end_day <- as.integer(calc_overall_end_date - t0); names(calc_overall_end_day) <- key\n", "\n", "# Varied parameters\n", "Re = c(0.5, 1.5, 3)\n", "k_mu = c(0.11, 0.25, 0.58)\n", "k_sigma = c(0.051, 0.191, 0.212)\n", "si_mean = c(4.848, 0.610) # mu, sigma\n", "si_par1 = c(2.305, 0.439) # mu, sigma\n", "q = c(0.2, 0.5) # Underascertainment\n", "\n", "# Fixed parameters for reporting delay (fit to gamma distribution)\n", "# Code for reporting delay shared elsewhere\n", "gm_mean <- 7.207005\n", "gm_sd <- 4.678002\n", "gm_alpha <- (gm_mean/gm_sd)^2\n", "gm_beta <- gm_mean/(gm_sd^2)\n", "rd_par <- c(gm_alpha, gm_beta)\n", "max_poss_underasc = 50\n", "y = 50\n", "\n", "# Fit specs\n", "ncores = parallel::detectCores()\n", "nchains = 4\n", "niter = 2000\n", "nwarm = 1000" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model without underascertainment" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Compiling Stan program...\n", "\n" ] } ], "source": [ "## Model\n", "stan_code <- \"functions {\n", " /* discretized Weibull distribution */\n", " vector pweibull(real kappa, real theta, int K) {\n", " vector[K] res;\n", " for (k in 1:K)\n", " res[k] = -expm1(-pow(1.0*k/theta, kappa)); // alt to weibull_lcdf\n", " return append_row(res[1], res[2:K]-res[1:(K-1)]);\n", " }\n", "\n", " /* discretized gamma distribution */\n", " vector pgamma(real alpha, real beta, int K) {\n", " vector[K] res;\n", " for (k in 1:K)\n", " res[k] = exp(gamma_lcdf(k | alpha, beta)); // with shape alpha and inverse scale beta\n", " return append_row(res[1], res[2:K]-res[1:(K-1)]);\n", " }\n", "\n", " /* vector of convolutions */\n", " // X: vector of first function, Yrev: reversed vector of the second function\n", " // N: length of X and Yrev\n", " // result is vector of length N-1, as the first element equal to zero is omitted\n", " vector convolution(vector X, vector Yrev, int N) {\n", " vector[N-1] res;\n", " res[1] = X[1]*Yrev[N];\n", " for (k in 2:N-1) // 2:N-1 is equivalent to 2:(N-1)\n", " res[k] = dot_product(head(X, k), tail(Yrev, k)); // by definition of the convolution\n", " return res;\n", " }\n", " real positive_half_normal_rng(real mu, real sigma) {\n", " real y = -1;\n", " while (y < 0)\n", " y = normal_rng(mu, sigma);\n", " return y;\n", " }\n", "}\n", "\n", "data {\n", " int<lower = 1> M; // number of cases reported in the cluster\n", " int<lower = 0> onset[M]; // vector of onset times\n", "\n", " int<lower = 1> D; // max reporting time\n", " int<lower = 1> Y; // upper limit for the sum for y, in this case: y = {0, ..., Y-1}\n", "\n", " // reporting delay parameters\n", " real<lower = 0> rd_par1;\n", " real<lower = 0> rd_par2;\n", "\n", " // serial interval parameters\n", " real si_mean_mu;\n", " real<lower = 0> si_mean_sigma;\n", " real si_par1_mu;\n", " real<lower = 0> si_par1_sigma;\n", "\n", " // offspring distribution parameters\n", " real<lower = 0> R0_par;\n", " real k_par_mu;\n", " real<lower = 0> k_par_sigma;\n", "}\n", "\n", "generated quantities {\n", " vector[D] Pr; // probability of extinction\n", "\n", " // offspring distribution parameter k values\n", " real<lower = 0> k_par = positive_half_normal_rng(k_par_mu, k_par_sigma);\n", "\n", " // serial interval parameters\n", " real si_mean = normal_rng(si_mean_mu, si_mean_sigma);\n", " real<lower = 0> si_par1 = normal_rng(si_par1_mu, si_par1_sigma);\n", " real<lower = 0> si_par2 = si_mean/tgamma(1.0 + 1.0 /si_par1);\n", "\n", " {\n", " vector[D] ft = pweibull(si_par1, si_par2, D); // serial interval\n", " vector[D] ht = pgamma(rd_par1, rd_par2, D); // reporting delay\n", " vector[D] htrev; // reversed reporting delay , required for convolution()\n", " vector[Y] y; // vector of indices\n", " vector[Y] py; // offspring distribution\n", " vector[D-1] conv; // vector of convolutions\n", "\n", " for (t in 1:D)\n", " htrev[t] = ht[D+1-t];\n", " conv = cumulative_sum(convolution(ft, htrev, D));\n", "\n", " for (i in 1:Y) {\n", " y[i] = i - 1;\n", " py[i] = exp(neg_binomial_2_lpmf(i - 1 | R0_par, k_par)); // mu, phi\n", " }\n", "\n", " for (t in 1:D) {\n", " // if the reporting day t is at least two days following the most recent onset date\n", " // NB: not one day, because of the reporting delay\n", " if (t <= max(onset) + 1)\n", " Pr[t] = 0.0;\n", " else {\n", " real prodsum = 1.0;\n", " for (i in 1:M) {\n", " int idx = t - onset[i] - 1;\n", " real cdf = conv[idx];\n", " prodsum *= sum(py .* exp(y * log(cdf)));\n", " }\n", " Pr[t] = 1.0 - prodsum;\n", " }\n", " }\n", " }\n", "}\"\n", "stan_file = write_stan_file(stan_code)\n", "\n", "# Compile model\n", "mod = cmdstan_model(stan_file)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1] \"2021-03-04 10:09:45 JST\"" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] 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\n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 1.2 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) \n", "Chain 1 Iteration: 1000 / 2000 [ 50%] (Sampling) \n", "Chain 1 Iteration: 1100 / 2000 [ 55%] (Sampling) \n", "Chain 1 Iteration: 1200 / 2000 [ 60%] (Sampling) \n", "Chain 1 Iteration: 1300 / 2000 [ 65%] (Sampling) \n", "Chain 1 Iteration: 1400 / 2000 [ 70%] (Sampling) \n", "Chain 1 Iteration: 1500 / 2000 [ 75%] (Sampling) \n", "Chain 1 Iteration: 1600 / 2000 [ 80%] (Sampling) \n", "Chain 1 Iteration: 1700 / 2000 [ 85%] (Sampling) \n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 1.2 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) 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\n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 2.5 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) \n", "Chain 1 Iteration: 1000 / 2000 [ 50%] (Sampling) \n", "Chain 1 Iteration: 1100 / 2000 [ 55%] (Sampling) \n", "Chain 1 Iteration: 1200 / 2000 [ 60%] (Sampling) \n", "Chain 1 Iteration: 1300 / 2000 [ 65%] (Sampling) \n", "Chain 1 Iteration: 1400 / 2000 [ 70%] (Sampling) \n", "Chain 1 Iteration: 1500 / 2000 [ 75%] (Sampling) \n", "Chain 1 Iteration: 1600 / 2000 [ 80%] (Sampling) \n", "Chain 1 Iteration: 1700 / 2000 [ 85%] (Sampling) \n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 1.5 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) \n", "Chain 1 Iteration: 1000 / 2000 [ 50%] (Sampling) \n", "Chain 1 Iteration: 1100 / 2000 [ 55%] (Sampling) \n", "Chain 1 Iteration: 1200 / 2000 [ 60%] (Sampling) \n", "Chain 1 Iteration: 1300 / 2000 [ 65%] (Sampling) \n", "Chain 1 Iteration: 1400 / 2000 [ 70%] (Sampling) \n", "Chain 1 Iteration: 1500 / 2000 [ 75%] (Sampling) \n", "Chain 1 Iteration: 1600 / 2000 [ 80%] (Sampling) \n", "Chain 1 Iteration: 1700 / 2000 [ 85%] (Sampling) \n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 2.5 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) 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\n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 1.4 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) \n", "Chain 1 Iteration: 1000 / 2000 [ 50%] (Sampling) \n", "Chain 1 Iteration: 1100 / 2000 [ 55%] (Sampling) \n", "Chain 1 Iteration: 1200 / 2000 [ 60%] (Sampling) \n", "Chain 1 Iteration: 1300 / 2000 [ 65%] (Sampling) \n", "Chain 1 Iteration: 1400 / 2000 [ 70%] (Sampling) \n", "Chain 1 Iteration: 1500 / 2000 [ 75%] (Sampling) \n", "Chain 1 Iteration: 1600 / 2000 [ 80%] (Sampling) \n", "Chain 1 Iteration: 1700 / 2000 [ 85%] (Sampling) \n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 2.5 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) 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\n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 1.5 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) \n", "Chain 1 Iteration: 1000 / 2000 [ 50%] (Sampling) \n", "Chain 1 Iteration: 1100 / 2000 [ 55%] (Sampling) \n", "Chain 1 Iteration: 1200 / 2000 [ 60%] (Sampling) \n", "Chain 1 Iteration: 1300 / 2000 [ 65%] (Sampling) \n", "Chain 1 Iteration: 1400 / 2000 [ 70%] (Sampling) \n", "Chain 1 Iteration: 1500 / 2000 [ 75%] (Sampling) \n", "Chain 1 Iteration: 1600 / 2000 [ 80%] (Sampling) \n", "Chain 1 Iteration: 1700 / 2000 [ 85%] (Sampling) \n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 2.5 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) \n", "Chain 1 Iteration: 1000 / 2000 [ 50%] (Sampling) \n", "Chain 1 Iteration: 1100 / 2000 [ 55%] (Sampling) \n", "Chain 1 Iteration: 1200 / 2000 [ 60%] (Sampling) \n", "Chain 1 Iteration: 1300 / 2000 [ 65%] (Sampling) \n", "Chain 1 Iteration: 1400 / 2000 [ 70%] (Sampling) \n", "Chain 1 Iteration: 1500 / 2000 [ 75%] (Sampling) \n", "Chain 1 Iteration: 1600 / 2000 [ 80%] (Sampling) \n", "Chain 1 Iteration: 1700 / 2000 [ 85%] (Sampling) \n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 1.6 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) 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\n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 2.5 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) \n", "Chain 1 Iteration: 1000 / 2000 [ 50%] (Sampling) \n", "Chain 1 Iteration: 1100 / 2000 [ 55%] (Sampling) \n", "Chain 1 Iteration: 1200 / 2000 [ 60%] (Sampling) \n", "Chain 1 Iteration: 1300 / 2000 [ 65%] (Sampling) \n", "Chain 1 Iteration: 1400 / 2000 [ 70%] (Sampling) \n", "Chain 1 Iteration: 1500 / 2000 [ 75%] (Sampling) \n", "Chain 1 Iteration: 1600 / 2000 [ 80%] (Sampling) \n", "Chain 1 Iteration: 1700 / 2000 [ 85%] (Sampling) \n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 1.5 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) \n", "Chain 1 Iteration: 1000 / 2000 [ 50%] (Sampling) \n", "Chain 1 Iteration: 1100 / 2000 [ 55%] (Sampling) \n", "Chain 1 Iteration: 1200 / 2000 [ 60%] (Sampling) \n", "Chain 1 Iteration: 1300 / 2000 [ 65%] (Sampling) \n", "Chain 1 Iteration: 1400 / 2000 [ 70%] (Sampling) \n", "Chain 1 Iteration: 1500 / 2000 [ 75%] (Sampling) \n", "Chain 1 Iteration: 1600 / 2000 [ 80%] (Sampling) \n", "Chain 1 Iteration: 1700 / 2000 [ 85%] (Sampling) \n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 2.5 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] 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5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) \n", "Chain 1 Iteration: 1000 / 2000 [ 50%] (Sampling) \n", "Chain 1 Iteration: 1100 / 2000 [ 55%] (Sampling) \n", "Chain 1 Iteration: 1200 / 2000 [ 60%] (Sampling) \n", "Chain 1 Iteration: 1300 / 2000 [ 65%] (Sampling) \n", "Chain 1 Iteration: 1400 / 2000 [ 70%] (Sampling) \n", "Chain 1 Iteration: 1500 / 2000 [ 75%] (Sampling) \n", "Chain 1 Iteration: 1600 / 2000 [ 80%] (Sampling) \n", "Chain 1 Iteration: 1700 / 2000 [ 85%] (Sampling) \n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 2.7 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) \n", "Chain 1 Iteration: 1000 / 2000 [ 50%] (Sampling) \n", "Chain 1 Iteration: 1100 / 2000 [ 55%] (Sampling) \n", "Chain 1 Iteration: 1200 / 2000 [ 60%] (Sampling) \n", "Chain 1 Iteration: 1300 / 2000 [ 65%] (Sampling) \n", "Chain 1 Iteration: 1400 / 2000 [ 70%] (Sampling) \n", "Chain 1 Iteration: 1500 / 2000 [ 75%] (Sampling) \n", "Chain 1 Iteration: 1600 / 2000 [ 80%] (Sampling) \n", "Chain 1 Iteration: 1700 / 2000 [ 85%] (Sampling) \n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 1.8 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) \n", "Chain 1 Iteration: 1000 / 2000 [ 50%] (Sampling) \n", "Chain 1 Iteration: 1100 / 2000 [ 55%] (Sampling) \n", "Chain 1 Iteration: 1200 / 2000 [ 60%] (Sampling) \n", "Chain 1 Iteration: 1300 / 2000 [ 65%] (Sampling) \n", "Chain 1 Iteration: 1400 / 2000 [ 70%] (Sampling) \n", "Chain 1 Iteration: 1500 / 2000 [ 75%] (Sampling) \n", "Chain 1 Iteration: 1600 / 2000 [ 80%] (Sampling) \n", "Chain 1 Iteration: 1700 / 2000 [ 85%] (Sampling) \n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 2.8 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) 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\n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 1.9 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) \n", "Chain 1 Iteration: 1000 / 2000 [ 50%] (Sampling) \n", "Chain 1 Iteration: 1100 / 2000 [ 55%] (Sampling) \n", "Chain 1 Iteration: 1200 / 2000 [ 60%] (Sampling) \n", "Chain 1 Iteration: 1300 / 2000 [ 65%] (Sampling) \n", "Chain 1 Iteration: 1400 / 2000 [ 70%] (Sampling) \n", "Chain 1 Iteration: 1500 / 2000 [ 75%] (Sampling) \n", "Chain 1 Iteration: 1600 / 2000 [ 80%] (Sampling) \n", "Chain 1 Iteration: 1700 / 2000 [ 85%] (Sampling) \n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 2.7 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) 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\n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 1.8 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) \n", "Chain 1 Iteration: 1000 / 2000 [ 50%] (Sampling) \n", "Chain 1 Iteration: 1100 / 2000 [ 55%] (Sampling) \n", "Chain 1 Iteration: 1200 / 2000 [ 60%] (Sampling) \n", "Chain 1 Iteration: 1300 / 2000 [ 65%] (Sampling) \n", "Chain 1 Iteration: 1400 / 2000 [ 70%] (Sampling) \n", "Chain 1 Iteration: 1500 / 2000 [ 75%] (Sampling) \n", "Chain 1 Iteration: 1600 / 2000 [ 80%] (Sampling) \n", "Chain 1 Iteration: 1700 / 2000 [ 85%] (Sampling) \n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 2.7 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) \n", "Chain 1 Iteration: 1000 / 2000 [ 50%] (Sampling) \n", "Chain 1 Iteration: 1100 / 2000 [ 55%] (Sampling) \n", "Chain 1 Iteration: 1200 / 2000 [ 60%] (Sampling) \n", "Chain 1 Iteration: 1300 / 2000 [ 65%] (Sampling) \n", "Chain 1 Iteration: 1400 / 2000 [ 70%] (Sampling) \n", "Chain 1 Iteration: 1500 / 2000 [ 75%] (Sampling) \n", "Chain 1 Iteration: 1600 / 2000 [ 80%] (Sampling) \n", "Chain 1 Iteration: 1700 / 2000 [ 85%] (Sampling) \n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 1.8 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) 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\n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 2.7 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) \n", "Chain 1 Iteration: 1000 / 2000 [ 50%] (Sampling) \n", "Chain 1 Iteration: 1100 / 2000 [ 55%] (Sampling) \n", "Chain 1 Iteration: 1200 / 2000 [ 60%] (Sampling) \n", "Chain 1 Iteration: 1300 / 2000 [ 65%] (Sampling) \n", "Chain 1 Iteration: 1400 / 2000 [ 70%] (Sampling) \n", "Chain 1 Iteration: 1500 / 2000 [ 75%] (Sampling) \n", "Chain 1 Iteration: 1600 / 2000 [ 80%] (Sampling) \n", "Chain 1 Iteration: 1700 / 2000 [ 85%] (Sampling) \n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 1.8 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) \n", "Chain 1 Iteration: 1000 / 2000 [ 50%] (Sampling) \n", "Chain 1 Iteration: 1100 / 2000 [ 55%] (Sampling) \n", "Chain 1 Iteration: 1200 / 2000 [ 60%] (Sampling) \n", "Chain 1 Iteration: 1300 / 2000 [ 65%] (Sampling) \n", "Chain 1 Iteration: 1400 / 2000 [ 70%] (Sampling) \n", "Chain 1 Iteration: 1500 / 2000 [ 75%] (Sampling) \n", "Chain 1 Iteration: 1600 / 2000 [ 80%] (Sampling) \n", "Chain 1 Iteration: 1700 / 2000 [ 85%] (Sampling) \n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 2.7 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] 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\n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 2.7 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) \n", "Chain 1 Iteration: 1000 / 2000 [ 50%] (Sampling) \n", "Chain 1 Iteration: 1100 / 2000 [ 55%] (Sampling) \n", "Chain 1 Iteration: 1200 / 2000 [ 60%] (Sampling) \n", "Chain 1 Iteration: 1300 / 2000 [ 65%] (Sampling) \n", "Chain 1 Iteration: 1400 / 2000 [ 70%] (Sampling) \n", "Chain 1 Iteration: 1500 / 2000 [ 75%] (Sampling) \n", "Chain 1 Iteration: 1600 / 2000 [ 80%] (Sampling) \n", "Chain 1 Iteration: 1700 / 2000 [ 85%] (Sampling) \n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 2.6 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) \n", "Chain 1 Iteration: 800 / 2000 [ 40%] (Sampling) \n", "Chain 1 Iteration: 900 / 2000 [ 45%] (Sampling) \n", "Chain 1 Iteration: 1000 / 2000 [ 50%] (Sampling) \n", "Chain 1 Iteration: 1100 / 2000 [ 55%] (Sampling) \n", "Chain 1 Iteration: 1200 / 2000 [ 60%] (Sampling) \n", "Chain 1 Iteration: 1300 / 2000 [ 65%] (Sampling) \n", "Chain 1 Iteration: 1400 / 2000 [ 70%] (Sampling) \n", "Chain 1 Iteration: 1500 / 2000 [ 75%] (Sampling) \n", "Chain 1 Iteration: 1600 / 2000 [ 80%] (Sampling) \n", "Chain 1 Iteration: 1700 / 2000 [ 85%] (Sampling) \n", "Chain 1 Iteration: 1800 / 2000 [ 90%] (Sampling) \n", "Chain 1 Iteration: 1900 / 2000 [ 95%] (Sampling) \n", "Chain 1 Iteration: 2000 / 2000 [100%] (Sampling) \n", "Chain 1 finished in 2.8 seconds.\n", "Running MCMC with 1 chain...\n", "\n", "Chain 1 Iteration: 1 / 2000 [ 0%] (Sampling) \n", "Chain 1 Iteration: 100 / 2000 [ 5%] (Sampling) \n", "Chain 1 Iteration: 200 / 2000 [ 10%] (Sampling) \n", "Chain 1 Iteration: 300 / 2000 [ 15%] (Sampling) \n", "Chain 1 Iteration: 400 / 2000 [ 20%] (Sampling) \n", "Chain 1 Iteration: 500 / 2000 [ 25%] (Sampling) \n", "Chain 1 Iteration: 600 / 2000 [ 30%] (Sampling) \n", "Chain 1 Iteration: 700 / 2000 [ 35%] (Sampling) 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data in list\n", " dat <- clusters_df %>% filter(cluster==cl)\n", " onsets <- dat %>% filter(!is.na(onset)) %>% dplyr::select(onset) %>% pull()\n", " onsets_imputed <- dat %>% filter(!is.na(onset_imputed)) %>% dplyr::select(onset_imputed) %>% pull()\n", " Re_par = Re[r]\n", " k_par_mu = k_mu[k]\n", " k_par_sigma = k_sigma[k]\n", "\n", " data_list = list(\n", " onset = as.integer(onsets - t0),\n", " M = length(onsets),\n", " D = as.integer(last_report_day[cl] + daystocalc + 1),\n", " Y = y,\n", "\n", " R0_par = Re_par, \n", " k_par_mu = k_par_mu,\n", " k_par_sigma = k_par_sigma,\n", "\n", " si_mean_mu = si_mean[1],\n", " si_mean_sigma = si_mean[2],\n", " si_par1_mu = si_par1[1],\n", " si_par1_sigma = si_par1[2],\n", "\n", " rd_par1 = rd_par[1],\n", " rd_par2 = rd_par[2]\n", " ) \n", "\n", "\n", " ## Compile and fit\n", " fit_reported <- mod$sample(data = data_list,\n", " iter_sampling=niter, \n", " chains=nchains,\n", " parallel_chains=ncores,\n", " seed=123,\n", " fixed_param=TRUE)\n", "\n", " data_list[[\"onset\"]] <- as.integer(onsets_imputed - t0)\n", " data_list[[\"M\"]] <- length(onsets_imputed)\n", " fit_imputed <- mod$sample(data = data_list,\n", " iter_sampling=niter, \n", " chains=nchains,\n", " parallel_chains=ncores,\n", " seed=123,\n", " fixed_param=TRUE)\n", "\n", " # Save results\n", " days <- paste0(\"Pr[\",last_report_day[cl]:calc_overall_end_day[cl],\"]\")\n", " prnew_reported <- data.frame(fit_reported$summary(c(\"Pr\"), ~quantile(.x, probs = c(0.025, 0.5, 0.975)))) %>%\n", " filter(variable %in% days) %>% rename(lci=2, median=3, uci=4) %>% \n", " mutate(Re = Re_par, k = k_par_mu, data_type = \"Reported\", cluster = cl, \n", " day = seq(last_report_day[cl], calc_overall_end_day[cl], 1), days_since_last_case = row_number()-1)\n", " prnew_imputed <- data.frame(fit_imputed$summary(c(\"Pr\"), ~quantile(.x, probs = c(0.025, 0.5, 0.975)))) %>%\n", " filter(variable %in% days) %>% rename(lci=2, median=3, uci=4) %>% \n", " mutate(Re = Re_par, k = k_par_mu, data_type = \"Imputed\", cluster = cl, \n", " day = seq(last_report_day[cl], calc_overall_end_day[cl], 1), days_since_last_case = row_number()-1)\n", " \n", " k_loop_prnew <- bind_rows(k_loop_prnew, prnew_reported, prnew_imputed)\n", " \n", " }\n", "\n", " R_loop_prnew <- bind_rows(R_loop_prnew, k_loop_prnew)\n", " \n", " }\n", " \n", " prnew[[cl]] <- R_loop_prnew %>% dplyr::select(-variable)\n", " \n", "}\n", " \n", "print(Sys.time() - calc_t1)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Compiling Stan program...\n", "\n" ] } ], "source": [ "# Model with underascertainment\n", "stan_code <- \"functions {\n", " /* discretized Weibull distribution */\n", " vector pweibull(real kappa, real theta, int N) {\n", " vector[N] res;\n", " for (k in 1:N)\n", " res[k] = -expm1(-pow(1.0*k/theta, kappa)); // instead of using Stan function weibull_lcdf it is easier to write it directly\n", " return append_row(res[1], res[2:N]-res[1:(N-1)]);\n", " }\n", "\n", " /* discretized gamma distribution */\n", " vector pgamma(real alpha, real beta, int K) {\n", " vector[K] res;\n", " for (k in 1:K)\n", " res[k] = exp(gamma_lcdf(k | alpha, beta)); // with shape alpha and inverse scale beta\n", " return append_row(res[1], res[2:K]-res[1:(K-1)]);\n", " }\n", "\n", " /* vector of convolutions */\n", " // X: first function, Yrev: reversed version of the second function\n", " // N: length of X and Yrev\n", " vector convolution(vector X, vector Yrev, int N) {\n", " vector[N-1] res;\n", " res[1] = X[1]*Yrev[N];\n", " for (k in 2:N-1) // 2:N-1 is equivalent to 2:(N-1)\n", " res[k] = dot_product(head(X, k), tail(Yrev, k)); // by definition of the convolution\n", " return append_row(0.0, res);\n", " }\n", "\n", " real positive_half_normal_rng(real mu, real sigma) {\n", " real y = -1;\n", " while (y < 0)\n", " y = normal_rng(mu, sigma);\n", " return y;\n", " }\n", "}\n", "\n", "data {\n", " int<lower = 1> D; // number days in the epicurve\n", " int day[D]; // vector of days in the epicurve\n", " int<lower = 0> cases[D]; // number of cases with onsets on that day\n", "\n", " int<lower = 1> Dmax; // maximal reporting time\n", " int<lower = 1> Y; // upper limit for the sum for y, in this case: y = {0, ..., Y-1}\n", "\n", " int<lower = 1> Umax;\n", "\n", " // reporting delay parameters\n", " real<lower = 0> rd_par1;\n", " real<lower = 0> rd_par2;\n", "\n", " // serial interval parameters\n", " real si_mean_mu;\n", " real<lower = 0> si_mean_sigma;\n", " real si_par1_mu;\n", " real<lower = 0> si_par1_sigma;\n", "\n", " real k_par_mu;\n", " real<lower = 0> k_par_sigma;\n", "\n", " // offspring distribution parameters\n", " real<lower = 0> Re_par;\n", "\n", " // underascertainment rate\n", " real<lower = 0, upper = 1> q;\n", "}\n", "\n", "transformed data {\n", " int max_onset_in_reported_cases;\n", " for (d in 1:D)\n", " if (cases[d] > 0)\n", " max_onset_in_reported_cases = d;\n", "}\n", "\n", "parameters {\n", " simplex[Umax] lambda[D];\n", "}\n", "\n", "model {\n", " vector[Umax] log_lambda[D];\n", " vector[Umax] lps;\n", " for (d in 1:D)\n", " log_lambda[d] = log(lambda[d]);\n", "\n", " for (d in 1:D) {\n", " lps = log_lambda[d];\n", " for (U in 1:Umax)\n", " lps[U] += binomial_lpmf(cases[d] | cases[d] + U - 1, 1.0 - q);\n", " target += log_sum_exp(lps);\n", " }\n", "}\n", "\n", "generated quantities {\n", " real Pr[D]; // probability of extinction\n", "\n", " int unreported_cases[D];\n", " vector[Umax] w[D];\n", " {\n", " int comp;\n", " vector[Umax] lps;\n", " int M = 0;\n", " int total_cases[D] = cases;\n", " for (d in 1:D) {\n", " lps = log(lambda[d]);\n", " for (U in 1:Umax)\n", " lps[U] += binomial_lpmf(cases[d] | cases[d] + U - 1, 1.0 - q);\n", " w[d] = exp(lps - log_sum_exp(lps));\n", " comp = categorical_rng(w[d]);\n", " // if we assume that the underascertained cases can be only within the generation time interval of the latest case\n", " total_cases[d] += (d <= max_onset_in_reported_cases + 5) ? comp - 1 : 0;\n", " // otherwise\n", " // total_cases[d] += comp - 1;\n", " M += total_cases[d];\n", " }\n", "\n", " // for our procedure below we need to have a vector of onset times not vector of incidence per day\n", " int onset[M];\n", " int kk = 0;\n", " for (d in 1:D)\n", " for (case_ in 1:total_cases[d]) {\n", " kk += 1;\n", " onset[kk] = d;\n", " }\n", " int max_onset = max(onset);\n", "\n", " // offspring distribution parameter k values\n", " real k_par = positive_half_normal_rng(k_par_mu, k_par_sigma);\n", "\n", " // serial interval parameters\n", " real si_mean = positive_half_normal_rng(si_mean_mu, si_mean_sigma);\n", " real si_par1 = positive_half_normal_rng(si_par1_mu, si_par1_sigma);\n", " real si_par2 = si_mean / tgamma(1.0 + 1.0 / si_par1);\n", "\n", " vector[D] ft = pweibull(si_par1, si_par2, D); // serial interval\n", " vector[D] ht = pgamma(rd_par1, rd_par2, D); // reporting delay\n", " vector[D] htrev; // reversed reporting delay, required for convolution()\n", " for (d in 1:D)\n", " htrev[d] = ht[D + 1 - d];\n", " vector[D] conv = cumulative_sum(convolution(ft, htrev, D)); // vector of convolutions\n", "\n", " vector[Y] y; // vector of indices\n", " vector[Y] log_py; // offspring distribution\n", " for (k in 1:Y) {\n", " y[k] = k - 1;\n", " log_py[k] = neg_binomial_2_lpmf(k - 1 | Re_par, k_par);\n", " }\n", "\n", " for (d in 1:D) {\n", " if (d <= max_onset + 1)\n", " Pr[d] = 1.0;\n", " else {\n", " real log_prodsum = 0.0;\n", " int idx; real cdf;\n", " for (i in 1:M) {\n", " idx = d - onset[i];\n", " cdf = conv[idx];\n", " log_prodsum += log_sum_exp(log_py + y * log(cdf));\n", " }\n", " Pr[d] = 1.0 - exp(log_prodsum);\n", " }\n", " }\n", " }\n", "}\"\n", "stan_file_with_ut = write_stan_file(stan_code)\n", "\n", "# Compile model\n", "mod_with_ut = cmdstan_model(stan_file_with_ut)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [ { "data": { "text/plain": [ "[1] \"2021-03-04 10:13:48 JST\"" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Running MCMC with 4 chains, at most 48 in parallel...\n", "\n", "Chain 1 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 2 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 3 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 4 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 3 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 1 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 2 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 4 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 2 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 3 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 4 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 1 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 3 Iteration: 300 / 3000 [ 10%] (Warmup) \n", "Chain 2 Iteration: 300 / 3000 [ 10%] (Warmup) \n", "Chain 4 Iteration: 300 / 3000 [ 10%] 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"Chain 2 Iteration: 3000 / 3000 [100%] (Sampling) \n", "Chain 2 finished in 131.2 seconds.\n", "Chain 4 Iteration: 3000 / 3000 [100%] (Sampling) \n", "Chain 4 finished in 131.3 seconds.\n", "Chain 3 Iteration: 3000 / 3000 [100%] (Sampling) \n", "Chain 1 Iteration: 3000 / 3000 [100%] (Sampling) \n", "Chain 3 finished in 131.5 seconds.\n", "Chain 1 finished in 131.7 seconds.\n", "\n", "All 4 chains finished successfully.\n", "Mean chain execution time: 131.4 seconds.\n", "Total execution time: 131.9 seconds.\n", "Running MCMC with 4 chains, at most 48 in parallel...\n", "\n", "Chain 1 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 2 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 3 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 4 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 3 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 1 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 2 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 4 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 3 Iteration: 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"Total execution time: 132.0 seconds.\n", "Running MCMC with 4 chains, at most 48 in parallel...\n", "\n", "Chain 1 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 2 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 3 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 4 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 3 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 2 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 1 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 4 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 1 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 3 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 2 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 4 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 1 Iteration: 300 / 3000 [ 10%] (Warmup) \n", "Chain 2 Iteration: 300 / 3000 [ 10%] (Warmup) \n", "Chain 3 Iteration: 300 / 3000 [ 10%] (Warmup) \n", "Chain 4 Iteration: 300 / 3000 [ 10%] (Warmup) \n", "Chain 1 Iteration: 400 / 3000 [ 13%] (Warmup) \n", "Chain 2 Iteration: 400 / 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"Chain 4 Iteration: 2900 / 3000 [ 96%] (Sampling) \n", "Chain 2 Iteration: 3000 / 3000 [100%] (Sampling) \n", "Chain 2 finished in 131.7 seconds.\n", "Chain 1 Iteration: 3000 / 3000 [100%] (Sampling) \n", "Chain 1 finished in 132.3 seconds.\n", "Chain 3 Iteration: 3000 / 3000 [100%] (Sampling) \n", "Chain 3 finished in 133.4 seconds.\n", "Chain 4 Iteration: 3000 / 3000 [100%] (Sampling) \n", "Chain 4 finished in 133.5 seconds.\n", "\n", "All 4 chains finished successfully.\n", "Mean chain execution time: 132.7 seconds.\n", "Total execution time: 133.8 seconds.\n", "Running MCMC with 4 chains, at most 48 in parallel...\n", "\n", "Chain 1 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 2 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 3 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 4 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 1 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 2 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 3 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 4 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in 133.9 seconds.\n", "Chain 1 finished in 134.0 seconds.\n", "\n", "All 4 chains finished successfully.\n", "Mean chain execution time: 133.1 seconds.\n", "Total execution time: 134.2 seconds.\n", "Running MCMC with 4 chains, at most 48 in parallel...\n", "\n", "Chain 1 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 2 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 3 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 4 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 2 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 1 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 3 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 4 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 1 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 2 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 3 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 4 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 2 Iteration: 300 / 3000 [ 10%] (Warmup) \n", "Chain 1 Iteration: 300 / 3000 [ 10%] (Warmup) \n", "Chain 3 Iteration: 300 / 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\n", "Chain 2 finished in 131.9 seconds.\n", "Chain 3 Iteration: 3000 / 3000 [100%] (Sampling) \n", "Chain 3 finished in 132.8 seconds.\n", "Chain 1 Iteration: 3000 / 3000 [100%] (Sampling) \n", "Chain 1 finished in 133.6 seconds.\n", "Chain 4 Iteration: 3000 / 3000 [100%] (Sampling) \n", "Chain 4 finished in 133.8 seconds.\n", "\n", "All 4 chains finished successfully.\n", "Mean chain execution time: 133.0 seconds.\n", "Total execution time: 134.1 seconds.\n", "Running MCMC with 4 chains, at most 48 in parallel...\n", "\n", "Chain 1 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 2 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 3 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 4 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 3 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 1 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 4 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 2 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 3 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 1 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successfully.\n", "Mean chain execution time: 138.1 seconds.\n", "Total execution time: 139.6 seconds.\n", "Running MCMC with 4 chains, at most 48 in parallel...\n", "\n", "Chain 1 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 2 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 3 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 4 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 3 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 1 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 4 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 2 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 3 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 1 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 2 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 4 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 3 Iteration: 300 / 3000 [ 10%] (Warmup) \n", "Chain 1 Iteration: 300 / 3000 [ 10%] (Warmup) \n", "Chain 2 Iteration: 300 / 3000 [ 10%] (Warmup) \n", "Chain 4 Iteration: 300 / 3000 [ 10%] (Warmup) \n", "Chain 3 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\n", "Chain 4 finished in 141.3 seconds.\n", "Chain 3 Iteration: 3000 / 3000 [100%] (Sampling) \n", "Chain 1 Iteration: 3000 / 3000 [100%] (Sampling) \n", "Chain 1 finished in 142.1 seconds.\n", "Chain 3 finished in 142.0 seconds.\n", "Chain 2 Iteration: 3000 / 3000 [100%] (Sampling) \n", "Chain 2 finished in 143.4 seconds.\n", "\n", "All 4 chains finished successfully.\n", "Mean chain execution time: 142.2 seconds.\n", "Total execution time: 143.6 seconds.\n", "Running MCMC with 4 chains, at most 48 in parallel...\n", "\n", "Chain 1 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 2 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 3 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 4 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 1 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 3 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 4 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 2 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 1 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 2 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(Sampling) \n", "Chain 4 finished in 149.6 seconds.\n", "Chain 1 Iteration: 3000 / 3000 [100%] (Sampling) \n", "Chain 1 finished in 150.4 seconds.\n", "\n", "All 4 chains finished successfully.\n", "Mean chain execution time: 149.6 seconds.\n", "Total execution time: 150.6 seconds.\n", "Running MCMC with 4 chains, at most 48 in parallel...\n", "\n", "Chain 1 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 2 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 3 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 4 Iteration: 1 / 3000 [ 0%] (Warmup) \n", "Chain 2 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 3 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 4 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 1 Iteration: 100 / 3000 [ 3%] (Warmup) \n", "Chain 4 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 2 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 1 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 3 Iteration: 200 / 3000 [ 6%] (Warmup) \n", "Chain 4 Iteration: 300 / 3000 [ 10%] 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clusters_df %>% filter(cluster==cl) %>% count(onset_imputed) %>% rename(date=onset_imputed, n_imp=n) %>% ## imputed onsets by day\n", " left_join(clusters_df %>% filter(cluster==cl) %>% count(onset), by=c(\"date\"=\"onset\")) %>% ## reported onsets by day \n", " complete(date = seq.Date(first_onset_date[cl], last_report_date[cl]+daystocalc, by=\"day\")) %>% replace_na(list(n=0, n_imp=0)) %>% ## add 0 case days\n", " mutate(day = seq(0, as.numeric((last_report_date[cl]+daystocalc)-first_onset_date[cl]), 1)) %>% ## add day d to first onset\n", " rbind(data.frame(date=seq.Date(first_onset_date[cl]-5,first_onset_date[cl]-1, 1), n_imp=0, n=0, day=seq(-5,-1,1))) %>% ## add 5 day initial buffer\n", " arrange(date)\n", " \n", " q_loop_prnew <- NULL\n", " \n", " for (i in seq_along(q)) {\n", " \n", " R_loop_prnew <- NULL\n", "\n", " for (r in seq_along(Re)) {\n", "\n", " k_loop_prnew <- NULL\n", "\n", " for (k in seq_along(k_mu)) {\n", "\n", " Re_par = Re[r]\n", " k_par_mu = k_mu[k]\n", " k_par_sigma = k_sigma[k]\n", "\n", "\n", " data_list = list(\n", " D = nrow(df),\n", " Dmax = max(df$day)+1,\n", " day = df$day,\n", " cases = df$n_imp,\n", "\n", " Y = 100,\n", " Umax = max_poss_underasc,\n", " q = q[i],\n", "\n", " Re_par = Re_par, \n", " k_par_mu = k_par_mu,\n", " k_par_sigma = k_par_sigma,\n", "\n", " si_mean_mu = si_mean[1],\n", " si_mean_sigma = si_mean[2],\n", " si_par1_mu = si_par1[1],\n", " si_par1_sigma = si_par1[2],\n", "\n", " rd_par1 = rd_par[1],\n", " rd_par2 = rd_par[2]\n", " )\n", "\n", " ## Fit model\n", " fit <- mod_with_ut$sample(data = data_list, \n", " iter_sampling=niter, \n", " iter_warmup=nwarm, \n", " chains=nchains,\n", " parallel_chains=ncores,\n", " save_warmup = TRUE,\n", " seed=123)\n", "\n", " # Save results\n", " days_lower <- df %>% filter(date==last_report_date[cl]) %>% pull(day)\n", " max_calc <- nrow(fit$summary(c(\"Pr\")))\n", " max_poss <- days_lower+daystocalc+1\n", " days_range <- seq(days_lower+1, ifelse(max_calc<max_poss, max_calc, max_poss), 1)\n", " days <- paste0(\"Pr[\",days_range,\"]\")\n", " prnew_ut <- data.frame(fit$summary(c(\"Pr\"), ~quantile(.x, probs = c(0.025, 0.5, 0.975)))) %>%\n", " filter(variable %in% days) %>% rename(lci=2, median=3, uci=4) %>% \n", " mutate(Re = Re_par, k = k_par_mu, data_type = sprintf(\"%i%% underascertainment\", q[i]*100), cluster = cl, \n", " day = days_range, days_since_last_case = row_number()-1) %>% dplyr::select(-variable)\n", "\n", " k_loop_prnew <- bind_rows(k_loop_prnew, prnew_ut)\n", "\n", " }\n", "\n", " R_loop_prnew <- bind_rows(R_loop_prnew, k_loop_prnew)\n", "\n", " }\n", "\n", " q_loop_prnew <- bind_rows(q_loop_prnew, R_loop_prnew)\n", "\n", " }\n", " \n", " prnew_with_ut[[cl]] <- q_loop_prnew\n", " \n", "}\n", " \n", "print(Sys.time() - calc_t1)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "all_prnew <- bind_rows(rbindlist(prnew), rbindlist(prnew_with_ut))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "saveRDS(all_prnew, \"../results/prnew.rds\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "R 4.0.4", "language": "R", "name": "ir404" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "4.0.4" } }, "nbformat": 4, "nbformat_minor": 4 }