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+0.986,4.295929564961577,3,1 +0.987,4.33931765397576,3,1 +0.988,4.385693866729337,3,1 +0.989,4.4355518167829,3,1 +0.99,4.489521811061261,3,1 +0.991,4.548427190296438,3,1 +0.992,4.613373318723192,3,1 +0.993,4.685895085308154,3,1 +0.994,4.768216491895693,3,1 +0.995,4.863743955323351,3,1 +0.996,4.978104711853294,3,1 +0.997,5.121672078167487,3,1 +0.998,5.317242608643223,3,1 +0.999,5.63534845925172,3,1 +1,9.180464612335626,3,1 diff --git a/assets/crps_learning/weights_plot/index.qmd b/assets/crps_learning/weights_plot/index.qmd index b349338..43eb479 100644 --- a/assets/crps_learning/weights_plot/index.qmd +++ b/assets/crps_learning/weights_plot/index.qmd @@ -1,5 +1,5 @@ --- -title: "Knots-Demo" +title: "CDF Weights" date: 2025-07-10 format: revealjs: @@ -15,7 +15,7 @@ d3 = require("d3@7") ``` ```{ojs} -bsplineData = FileAttachment("basis_functions.csv").csv({ typed: true }) +cdf_data = FileAttachment("cdf_data.csv").csv({ typed: true }) ``` ```{ojs} @@ -47,9 +47,9 @@ function updateChartInner(g, x, y, linesGroup, color, line, data) { chart = { // State variable for selected mu parameter - let selectedMu = 0.5; + let selectedMu = 1; - const filteredData = () => bsplineData.filter(d => + const filteredData = () => cdf_data.filter(d => Math.abs(selectedMu - d.mu) < 0.001 ); @@ -84,7 +84,11 @@ chart = { muDisplay.text(selectedMu.toFixed(1)); updateChart(filteredData()); }) - .style('width', '100%'); + .style('width', '100%') + //.style('-webkit-appearance', 'none') + .style('appearance', 'none') + .style('height', '8px') + .style('background', '#BDBDBDFF'); const muDisplay = sliderContainer.append('span') .text(selectedMu.toFixed(1)) @@ -104,7 +108,7 @@ chart = { }); // Build SVG - const width = 1200; + const width = 800; const height = 450; const margin = {top: 40, right: 20, bottom: 40, left: 40}; const innerWidth = width - margin.left - margin.right; diff --git a/assets/crps_learning/weights_plot/make_cdf_data.R b/assets/crps_learning/weights_plot/make_cdf_data.R new file mode 100644 index 0000000..9a6d7e1 --- /dev/null +++ b/assets/crps_learning/weights_plot/make_cdf_data.R @@ -0,0 +1,78 @@ +library(tidyverse) + +source("assets/01_common.R") + +set.seed(2002) +# Experts +N <- 2 +# Observations +T <- 2^5 +# Size of probability grid +P <- 999 +prob_grid <- 1:P / (P + 1) + +# Realized observations +y <- rnorm(T) + +# Deviation of the experts +dev <- c(-1, 3) +experts_sd <- c(1, sqrt(4)) + +# Expert predictions +experts <- array(dim = c(P, N)) + +seq(-5, 10, length.out = P) -> x_grid + +experts[, 1] <- qnorm(prob_grid, mean = dev[1], sd = experts_sd[1]) +experts[, 2] <- qnorm(prob_grid, mean = dev[2], sd = experts_sd[2]) + +experts <- rbind(c(rep(min(experts), N)), experts) +experts <- rbind(experts, c(rep(max(experts), N))) +prob_grid <- c(0, prob_grid, 1) + +naive <- 1 + +df <- data.frame( + x = rep(prob_grid, each = N), + y = c(t(experts)), + expert = rep(1:N, (P + 2)), + naive = rep(naive, (P + 2) * N) +) + +naive <- seq(0, 1, length.out = 11) + +dfs <- list() + +df_old <- df + +for (i in seq_along(naive)) { + df_old$naive <- naive[i] + + df_new <- data.frame( + x = prob_grid, + y = (experts[, 1] * (naive[i] * (0.5) + (1 - naive[i]) * (1 - prob_grid)) + (naive[i] * 0.5 + (1 - naive[i]) * (prob_grid)) * experts[, 2]), + expert = 3, + naive = rep(naive[i], (P + 2)) + ) + + dfs[[i + 1]] <- bind_rows(df_old, df_new) +} + +dfs <- reduce(dfs, bind_rows) + +colnames(dfs) <- c("y", "x", "b", "mu") + +dfs %>% + ggplot(aes(x = x, y = y, color = factor(b))) + + geom_line() + + labs( + title = "Expert Predictions", + x = "Probability Grid", + y = "Predicted Value" + ) + + theme_minimal() + + scale_color_brewer(palette = "Set1") + + theme(legend.position = "top") + + facet_wrap(. ~ mu, ncol = 3) + +write_csv(dfs, "assets/crps_learning/weights_plot/cdf_data.csv")