From 986e145862579552e25abafec2427f2ade76295f Mon Sep 17 00:00:00 2001 From: Rucknium Date: Fri, 8 Jul 2022 17:10:50 +0000 Subject: [PATCH] Add GEV distn; Laplace periodic; fix scoping issues with future_lapply --- R/OSPEAD-dry-run.R | 217 ++++++++++++------ .../estimate-div-target-L_FGT-flavor-1.png | Bin 195564 -> 222569 bytes .../estimate-div-target-L_FGT-flavor-2.png | Bin 191069 -> 233036 bytes .../estimate-div-target-L_MLE-flavor-0.png | Bin 190644 -> 232962 bytes ...timate-div-target-L_Welfare-flavor-0.5.png | Bin 196851 -> 217721 bytes ...estimate-div-target-L_Welfare-flavor-1.png | Bin 182445 -> 223059 bytes .../estimate/estimate-L_FGT-flavor-1.png | Bin 115172 -> 133619 bytes .../estimate/estimate-L_FGT-flavor-2.png | Bin 114843 -> 146328 bytes .../estimate/estimate-L_MLE-flavor-0.png | Bin 101535 -> 96015 bytes .../estimate-L_Welfare-flavor-0.5.png | Bin 118367 -> 130272 bytes .../estimate/estimate-L_Welfare-flavor-1.png | Bin 107681 -> 137041 bytes tables/dry-run/minimizer-params.csv | 5 + tables/dry-run/performance.csv | 12 +- 13 files changed, 161 insertions(+), 73 deletions(-) diff --git a/R/OSPEAD-dry-run.R b/R/OSPEAD-dry-run.R index cf77a7e..b4a95f8 100644 --- a/R/OSPEAD-dry-run.R +++ b/R/OSPEAD-dry-run.R @@ -4,6 +4,7 @@ # install.packages("distributionsrd") # install.packages("future.apply") # install.packages("RColorBrewer") +# install.packages("VGAM") xmr.Moser <- as.data.frame(readr::read_csv("data-raw/log_spend_times.csv.xz")) # Data from Moser et al. (2018) "An Empirical Analysis of Traceability in the Monero Blockchain" @@ -26,7 +27,8 @@ rm(xmr.Moser) param.trans <- list() f_D.lgamma <- function(param, support, return.log = FALSE) { - actuar::dlgamma(support + 1, shapelog = exp(param[1]), ratelog = exp(param[2]), log = return.log) + support.p1 <- support + 1 + actuar::dlgamma(support.p1, shapelog = exp(param[1]), ratelog = exp(param[2]), log = return.log) } param.trans$lgamma <- c(exp, exp) @@ -45,49 +47,102 @@ f_D.rpln <- function(param, support, return.log = FALSE) { param.trans$rpln <- c(exp, I, exp) +f_D.gev <- function(param, support, return.log = FALSE) { + VGAM::dgev(support, location = param[1], scale = exp(param[2]), shape = param[3], log = return.log) +} + +param.trans$gev <- c(I, exp, I) + + atan.0.1 <- function(x) { atan(x)/pi + 0.5 } + f_D.lgamma.f.mix <- function(param, support, return.log = FALSE) { + atan.0.1(param[1]) * f_D.lgamma(param[2:3], support, return.log = return.log) + (1 - atan.0.1(param[1])) * f_D.f(param[4:6], support, return.log = return.log) } param.trans$lgamma.f.mix <- c(atan.0.1, exp, exp, exp, exp, exp) +f_D.gev.f.mix <- function(param, support, return.log = FALSE) { + + atan.0.1(param[1]) * f_D.gev(param[2:4], support, return.log = return.log) + + (1 - atan.0.1(param[1])) * f_D.f(param[5:7], support, return.log = return.log) +} + +param.trans$f_D.gev.f.mix <- c(atan.0.1, I, exp, I, exp, exp, exp) + +# DONT USE COSINE: + +# f_D.lgamma.cosine <- function(param, support, return.log = FALSE) { +# density.x <- actuar::dlgamma(support + 1, shapelog = exp(param[1]), ratelog = exp(param[2]), log = return.log) + +# density.x + atan.0.1(param[3]) * density.x * cos(support * pi * 2 / (24 * 30)) +# } -f_D.lgamma.cosine <- function(param, support, return.log = FALSE) { +# param.trans$lgamma.cosine <- c(exp, exp, atan.0.1) + + + + +f_D.lgamma.periodic.laplace <- function(param, support, return.log = FALSE) { + + laplace.multiplier <- + (2 * 24 * 30) / sum(VGAM::dlaplace((support + 1) %% (2 *24 * 30), location = 24 * 30, scale = exp(param[4]), log = return.log)[1:(2 * 24 * 30)]) + density.x <- actuar::dlgamma(support + 1, shapelog = exp(param[1]), ratelog = exp(param[2]), log = return.log) - density.x + atan.0.1(param[3]) * density.x * cos(support * pi * 2 / (24 * 30)) + (1 - atan.0.1(param[3])) * density.x + atan.0.1(param[3]) * density.x * laplace.multiplier * + VGAM::dlaplace((support + 1) %% (2 *24 * 30), location = 24 * 30, scale = exp(param[4]), log = return.log) } -param.trans$lgamma.cosine <- c(exp, exp, atan.0.1) +# TODO: The above actually has a period of two days since it fits better with the Moser data. 1-day period would be: + +# f_D.lgamma.periodic.laplace <- function(param, support, return.log = FALSE) { + +# laplace.multiplier <- +# (24 * 30) / sum(VGAM::dlaplace((support + 1 + (24 * 30 / 2)) %% (24 * 30), location = 24 * 30 / 2, scale = param[4], log = return.log)[1:(24 * 30)]) + +# density.x <- actuar::dlgamma(support + 1, shapelog = exp(param[1]), ratelog = exp(param[2]), log = return.log) + +# (1 - atan.0.1(param[3])) * density.x + atan.0.1(param[3]) * density.x * laplace.multiplier * +# VGAM::dlaplace((support + 1 + (24 * 30 / 2)) %% (24 * 30), location = 24 * 30 / 2, scale = param[4], log = return.log) + # } + +param.trans$f_D.lgamma.periodic.laplace <- c(exp, exp, atan.0.1, exp) distn.name.converter <- c( "f_D.lgamma" = "Log-gamma", "f_D.f" = "F", "f_D.rpln" = "Right-Pareto Log-normal", + "f_D.gev" = "Generalized Extreme Value", "f_D.lgamma.f.mix" = "Log-gamma + F Mixture", - "f_D.lgamma.cosine" = "Log-gamma Cosine" + "f_D.gev.f.mix" = "Generalized Extreme Value + F Mixture", + "f_D.lgamma.periodic.laplace" = "Log-gamma + Periodic Laplace" + #"f_D.lgamma.cosine" = "Log-gamma Cosine" ) -L_FGT <- function(param, f_D, support, flavor = 1) { +L_FGT <- function(param, f_D, support, flavor = 1, theta_i, ...) { alpha <- flavor a_i <- f_D(param, support) a_i <- a_i/sum(a_i) sum( (theta_i * ((theta_i - a_i)/theta_i)^alpha)[a_i < theta_i & theta_i > 0] , na.rm = FALSE ) } -u_CRRA <- function(x, eta) { - if (eta != 1) { - return( (x^(1 - eta)) / (1 - eta) ) - } else { - return(log(x)) - } -} -L_Welfare <- function(param, f_D, support, flavor = 1) { + +L_Welfare <- function(param, f_D, support, flavor = 1, theta_i, ...) { + + u_CRRA <- function(x, eta) { + if (eta != 1) { + return( (x^(1 - eta)) / (1 - eta) ) + } else { + return(log(x)) + } + } + eta <- flavor a_i <- f_D(param, support) a_i <- a_i/sum(a_i) @@ -96,41 +151,43 @@ L_Welfare <- function(param, f_D, support, flavor = 1) { , na.rm = FALSE ) } -L_MLE <- function(param, f_D, ...) { +L_MLE <- function(param, f_D, spend_times_blocks = spend_times_blocks, ...) { (-1) * sum( f_D(param, spend_times_blocks, return.log = TRUE) , na.rm = FALSE) } -run.iters <- expand.grid( - f_D = c(f_D.lgamma = f_D.lgamma, f_D.f = f_D.f, f_D.rpln = f_D.rpln), +run.iters.simple <- expand.grid( + f_D = c(f_D.lgamma = f_D.lgamma, f_D.f = f_D.f, f_D.rpln = f_D.rpln, f_D.gev = f_D.gev), flavor = 1:2, L = c(L_FGT = L_FGT, L_Welfare = L_Welfare, L_MLE = L_MLE) ) -run.iters$flavor[names(run.iters$L) == "L_Welfare"] <- - rep(c(0.5, 1), each = sum(names(run.iters$L) == "L_Welfare")/2) +run.iters.simple$flavor[names(run.iters.simple$L) == "L_Welfare"] <- + rep(c(0.5, 1), each = sum(names(run.iters.simple$L) == "L_Welfare")/2) -run.iters$flavor[names(run.iters$L) == "L_MLE"] <- 0 +run.iters.simple$flavor[names(run.iters.simple$L) == "L_MLE"] <- 0 # MLE has only one flavor -run.iters <- unique(run.iters) +run.iters.simple <- unique(run.iters.simple) start.params <- list( f_D.lgamma = c(2, 0), f_D.f = c(-1, 0, 2), - f_D.rpln = c(0.5, 2, 1)) + f_D.rpln = c(0.5, 2, 1), + f_D.gev = c(100, log(100), 1)) + future::plan(future::multiprocess()) -results <- future.apply::future_lapply(1:nrow(run.iters), function(iter) { +results.simple <- future.apply::future_lapply(1:nrow(run.iters.simple), function(iter) { - f_D.fun <- run.iters$f_D[[iter]] - L.fun <- run.iters$L[[iter]] - flavor <- run.iters$flavor[[iter]] - start.params.optim <- start.params[[names(run.iters$f_D[iter])]] + f_D.fun <- run.iters.simple$f_D[[iter]] + L.fun <- run.iters.simple$L[[iter]] + flavor <- run.iters.simple$flavor[[iter]] + start.params.optim <- start.params[[names(run.iters.simple$f_D[iter])]] optim( start.params.optim, @@ -138,38 +195,48 @@ results <- future.apply::future_lapply(1:nrow(run.iters), function(iter) { f_D = f_D.fun, support = as.numeric(support), flavor = flavor, - control = list(trace = 6, maxit = 10000)) + control = list(trace = 6, maxit = 10000), + theta_i = theta_i, + spend_times_blocks = spend_times_blocks) }) - run.iters.mix <- expand.grid( - f_D = c(f_D.lgamma.f.mix = f_D.lgamma.f.mix), + f_D = c( + f_D.lgamma.f.mix = f_D.lgamma.f.mix, + f_D.gev.f.mix = f_D.gev.f.mix), flavor = 1:2, L = c(L_FGT = L_FGT, L_Welfare = L_Welfare) ) + + run.iters.mix$flavor[names(run.iters.mix$L) == "L_Welfare"] <- rep(c(0.5, 1), each = sum(names(run.iters.mix$L) == "L_Welfare")/2) # run.iters.mix$flavor[names(run.iters.mix$L) == "L_MLE"] <- 0 - results.mix <- future.apply::future_lapply(1:nrow(run.iters.mix), function(iter) { f_D.fun <- run.iters.mix$f_D[[iter]] L.fun <- run.iters.mix$L[[iter]] flavor <- run.iters.mix$flavor[[iter]] + + mixture.name <- names(run.iters.mix$f_D[iter]) + mixture.name <- gsub("(f_D.)|(.mix)", "", mixture.name) + mixture.name <- strsplit(mixture.name, "[.]")[[1]] + # NOTE: Naming is crucial and order matters + start.params.optim <- c(0, results[[which( - names(run.iters$f_D) == "f_D.lgamma" & + names(run.iters$f_D) == paste0("f_D.", mixture.name[1]) & names(run.iters$L) == names(run.iters.mix$L[iter]) & run.iters$flavor == run.iters.mix$flavor[iter] )]]$par, results[[which( - names(run.iters$f_D) == "f_D.f" & + names(run.iters$f_D) == paste0("f_D.", mixture.name[2]) & names(run.iters$L) == names(run.iters.mix$L[iter]) & run.iters$flavor == run.iters.mix$flavor[iter] )]]$par @@ -181,37 +248,48 @@ results.mix <- future.apply::future_lapply(1:nrow(run.iters.mix), function(iter) f_D = f_D.fun, support = as.numeric(support), flavor = flavor, - control = list(trace = 6, maxit = 10000)) + control = list(trace = 6, maxit = 10000), + theta_i = theta_i, + spend_times_blocks = spend_times_blocks, + atan.0.1 = atan.0.1, + f_D.lgamma = f_D.lgamma, + f_D.gev = f_D.gev, + f_D.f = f_D.f) }) -run.iters.cosine <- expand.grid( - f_D = c(f_D.lgamma.cosine = f_D.lgamma.cosine), +# run.iters.cosine <- expand.grid( +# f_D = c(f_D.lgamma.cosine = f_D.lgamma.cosine), +# flavor = 1:2, +# L = c(L_FGT = L_FGT, L_Welfare = L_Welfare) +# ) + +run.iters.periodic <- expand.grid( + f_D = c(f_D.lgamma.periodic.laplace = f_D.lgamma.periodic.laplace), flavor = 1:2, L = c(L_FGT = L_FGT, L_Welfare = L_Welfare) ) -run.iters.cosine$flavor[names(run.iters.cosine$L) == "L_Welfare"] <- - rep(c(0.5, 1), each = sum(names(run.iters.cosine$L) == "L_Welfare")/2) - -# run.iters.cosine$flavor[names(run.iters.cosine$L) == "L_MLE"] <- 0 +run.iters.periodic$flavor[names(run.iters.periodic$L) == "L_Welfare"] <- + rep(c(0.5, 1), each = sum(names(run.iters.periodic$L) == "L_Welfare")/2) +# run.iters.periodic$flavor[names(run.iters.periodic$L) == "L_MLE"] <- 0 - -results.cosine <- future.apply::future_lapply(1:nrow(run.iters.cosine), function(iter) { +results.periodic <- future.apply::future_lapply(1:nrow(run.iters.periodic), function(iter) { - f_D.fun <- run.iters.cosine$f_D[[iter]] - L.fun <- run.iters.cosine$L[[iter]] - flavor <- run.iters.cosine$flavor[[iter]] + f_D.fun <- run.iters.periodic$f_D[[iter]] + L.fun <- run.iters.periodic$L[[iter]] + flavor <- run.iters.periodic$flavor[[iter]] start.params.optim <- c( results[[which( names(run.iters$f_D) == "f_D.lgamma" & - names(run.iters$L) == names(run.iters.cosine$L[iter]) & - run.iters$flavor == run.iters.cosine$flavor[iter] + names(run.iters$L) == names(run.iters.periodic$L[iter]) & + run.iters$flavor == run.iters.periodic$flavor[iter] )]]$par, - -25 + -25, # atan.0.1-transformed mixing factor + log(24 * 30 / 2) # Scale parameter of the Laplace distribution ) optim( @@ -220,17 +298,18 @@ results.cosine <- future.apply::future_lapply(1:nrow(run.iters.cosine), function f_D = f_D.fun, support = as.numeric(support), flavor = flavor, - control = list(trace = 6, maxit = 10000)) + control = list(trace = 6, maxit = 10000), + theta_i = theta_i, + spend_times_blocks = spend_times_blocks, + atan.0.1 = atan.0.1) }) +run.iters <- rbind(run.iters.simple, run.iters.mix, run.iters.periodic) - -run.iters <- rbind(run.iters, run.iters.mix, run.iters.cosine) - -results <- c(results, results.mix, results.cosine) +results <- c(results.simple, results.mix, results.periodic) run.iters.results <- unique(run.iters[, c("L", "flavor")]) run.iters.results$L <- names(run.iters.results$L) @@ -278,7 +357,9 @@ minimizer.params <- data.frame(f_D = names(run.iters[[1]]), L = names(run.iters[ dists.to.exclude <- c( "f_D.lgamma.f.mix", - "f_D.lgamma.cosine" + "f_D.gev.f.mix", + "f_D.lgamma.periodic.laplace" + #"f_D.lgamma.cosine" ) minimizer.params <- minimizer.params[ ! minimizer.params$f_D %in% dists.to.exclude, ] @@ -299,6 +380,8 @@ for ( i in 1:nrow(minimizer.params)) { minimizer.params <- minimizer.params[order(minimizer.params$f_D), ] +minimizer.params + write.csv(minimizer.params, "tables/dry-run/minimizer-params.csv", row.names = FALSE) @@ -346,25 +429,25 @@ for (i in 1:nrow(run.iters.obj.fn)) { png(paste0("images/dry-run/estimate-div-target/estimate-div-target-", loss.fn.temp, "-flavor-", flavor.temp, ".png"), width = 1000 * 1.5, height = 800 * 1.5) - par(mar = c(8, 6, 8, 2) + 0.1, cex = 1.5) + par(mar = c(8, 6, 10, 2) + 0.1, cex = 1.5) matplot(matrix(mat.data, nrow = length(support.interval)), main = run.iters.obj.fn$title[i][[1]], ylab = bquote(frac(f[D](x), f[S](x))), - xlab = "x", - log = "x", xaxt = "n", + xlab = "Age of spend outputs in terms of number of blocks. Log scale.", + log = "x", xaxt = "n", type = "l", lty = 1, ylim = c(min(c(0, mat.data)), min(c(2, max(mat.data)))), - col = RColorBrewer::brewer.pal( length(unique(names(run.iters$f_D))), "Set1")) + col = (RColorBrewer::brewer.pal( length(unique(names(run.iters$f_D))) + 1, "Set1")[-6])) abline(h = 1, lty = 2) legend("top", legend = legend.labels, lty = rep(1, length(unique(names(run.iters$f_D)))), - lwd = rep(5, length(unique(names(run.iters$f_D)))), - col = RColorBrewer::brewer.pal( length(unique(names(run.iters$f_D))), "Set1"), - inset = c(0, -0.08), xpd = NA, y.intersp = 1, + lwd = rep(10, length(unique(names(run.iters$f_D)))), + col = (RColorBrewer::brewer.pal( length(unique(names(run.iters$f_D))) + 1, "Set1")[-6]), + inset = c(0, -0.12), xpd = NA, y.intersp = 1, bty = "n", ncol = 3) for ( j in support.interval) { @@ -410,25 +493,25 @@ for (i in 1:nrow(run.iters.obj.fn)) { png(paste0("images/dry-run/estimate/estimate-", loss.fn.temp, "-flavor-", flavor.temp, ".png"), width = 1000 * 1.5, height = 800 * 1.5) - par(mar = c(8, 4, 8, 2) + 0.1, cex = 1.5) + par(mar = c(8, 6, 10, 2) + 0.1, cex = 1.5) matplot(matrix(mat.data, nrow = length(support.interval)), main = run.iters.obj.fn$title[i][[1]], ylab = bquote(f[D](x)), - xlab = "x", + xlab = "Age of spend outputs in terms of number of blocks. Log scale.", log = "x", xaxt = "n", type = "l", lty = 1, ylim = c(min(c(0, mat.data)), min(c(2, max(mat.data)))), - col = RColorBrewer::brewer.pal( length(unique(names(run.iters$f_D))), "Set1")) + col = (RColorBrewer::brewer.pal( length(unique(names(run.iters$f_D))) + 1, "Set1")[-6])) abline(h = 0, lty = 2) legend("top", legend = legend.labels, lty = rep(1, length(unique(names(run.iters$f_D)))), - lwd = rep(5, length(unique(names(run.iters$f_D)))), - col = RColorBrewer::brewer.pal( length(unique(names(run.iters$f_D))), "Set1"), - inset = c(0, -0.08), xpd = NA, y.intersp = 1, + lwd = rep(10, length(unique(names(run.iters$f_D)))), + col = (RColorBrewer::brewer.pal( length(unique(names(run.iters$f_D))) + 1, "Set1")[-6]), + inset = c(0, -0.12), xpd = NA, y.intersp = 1, bty = "n", ncol = 3) for ( j in support.interval) { diff --git a/images/dry-run/estimate-div-target/estimate-div-target-L_FGT-flavor-1.png b/images/dry-run/estimate-div-target/estimate-div-target-L_FGT-flavor-1.png index 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