From d358af8f39c662c6e4bba946e1c29fb3fa2e332c Mon Sep 17 00:00:00 2001 From: Tom Date: Tue, 15 Jun 2021 01:05:26 +0200 Subject: [PATCH] sync --- ue06/es.R | 131 +++++++++++++++++++++++++++++++++++++++++++ ue06/evolution.pdf | Bin 0 -> 3952171 bytes ue06/landscape.Rdata | Bin 0 -> 170867 bytes 3 files changed, 131 insertions(+) create mode 100644 ue06/es.R create mode 100644 ue06/evolution.pdf create mode 100644 ue06/landscape.Rdata diff --git a/ue06/es.R b/ue06/es.R new file mode 100644 index 0000000..60c3485 --- /dev/null +++ b/ue06/es.R @@ -0,0 +1,131 @@ +library(reshape) +library(tidyverse) +library(ggforce) + +normalize_landscape <- function(landscape) { + min_val <- min(landscape) + max_val <- max(landscape) + range_val <- max_val - min_val + + return((landscape - min_val) / range_val) +} + +plot_landscape <- function(landscape) { + p <- ggplot(data=melt(landscape), aes(x=X1, y=X2, z=value)) + + geom_contour_filled() + + return(p) +} + +init_population <- function(landscape, n) { + + population <- list() + dims <- length(dim(landscape)) + + for(i in 1:n) { + coords <- round(runif(dims, 0, 1) * dim(landscape)) + sigmas <- rnorm(dims) + + population[[i]] <- matrix(c(coords, sigmas), ncol=2) + } + + return(population) +} + +next_generation <- function(landscape, population) { + return(map(population, function(indiv) { + return(select_indiv(landscape, list(indiv, create_child(indiv)))) + })) +} + +select_indiv <- function(landscape, indivs) { + return(reduce(indivs, function(a, b) { + if(eval_indiv(landscape, a) >= eval_indiv(landscape, b)) { + return(a) + } + + return(b) + })) +} + +eval_indiv <- function(landscape, indiv) { + dims <- dim(landscape) + + x <- indiv[1,1] + y <- indiv[2, 1] + + if(x > dims[1] || y > dims[2] || x < 1 || y < 1) { + return(-1) + } + + return(landscape[indiv[1,1], indiv[2,1]]) +} + +create_child <- function(parent) { + new_sigmas <- mutate_sigmas(parent[,2]) + new_coords <- mutate_coords(parent[,1], new_sigmas) + + return(matrix(c(new_coords, new_sigmas), ncol=2)) +} + +mutate_sigmas <- function(sigmas) { + global_rate <- 1 / sqrt(2 * length(sigmas)) + local_rate <- 1 / (2 * sqrt(length(sigmas))) + + global_step <- global_rate * rnorm(1) + + return(map_dbl(sigmas, function(s) s * exp(global_step + local_rate * rnorm(1)))) +} + +mutate_coords <- function(coords, sigmas) { + return(imap_dbl(coords, function(x, i) x + sigmas[i] * rnorm(1))) +} + +experiment <- function(landscape, population, gens) { + df <- population_to_df(landscape, population, 0) + + for(g in 1:gens) { + population <- next_generation(landscape, population) + + df <- rbind(df, population_to_df(landscape, population, g)) + } + + return(df) +} + +population_to_df <- function(landscape, population, gen) { + df <- reduce(imap(population, function(indv, i) indiv_to_df(landscape, indv, i)), rbind) + df["generation"] <- gen + + return(df) +} + +indiv_to_df <- function(landscape, indiv, index) { + return(data.frame(x=indiv[1,1], y=indiv[2,1], + sx=indiv[1, 2], sy=indiv[2,2], + individual=index, value=eval_indiv(landscape, indiv))) +} + +plot_generation <- function(landscape, df) { + p <-ggplot(data=df) + + geom_contour_filled(data=melt(landscape), aes(x=X1, y=X2, z=value)) + + geom_point(aes(x=x, y=y)) + + geom_ellipse(aes(x0=x, y0=y, a=sx, b=sy, angle=0)) + + return(p) +} + +plot_experiment <- function(landscape, df, filename) { + pdf(file=filename, onefile=TRUE) + + for(g in unique(df$generation)) { + tmp_df <- df[df$generation == g,] + + p <- plot <- plot_generation(landscape, tmp_df) + + print(p) + } + + dev.off() +} + diff --git a/ue06/evolution.pdf b/ue06/evolution.pdf new file mode 100644 index 0000000000000000000000000000000000000000..5fa0878794276d172b360ed8bf7d0d1453a6f963 GIT binary patch literal 3952171 zcmZ^~bx<5#^evhY+$Fe6a2O;&LXhCW2?2)S?iSn$E`z%T0we@?1|QtrH4G9Me9#%3 z$M?JM-COluy{fM6z1LoApMB0B-Mdbmexo5P&%@9A7W+-`R`7Q4WbmwkD>gp^AA_@* 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