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#' Estimate Jensen-Shannon divergence or distance between two categories
#'
#' Use this function when Jensen-Shannon divergence (JSD) or Jensen-Shannon
#' distance is the primary outcome. If you want to compare JSD with Pillai,
#' Bhattacharyya, Mahalanobis, and percent-overlap metrics, start with
#' \code{phontrast()} instead.
#'
#' JSD is bounded from 0 to 1 for two equally weighted distributions. Larger
#' values indicate greater category separation. Jensen-Shannon distance is
#' \code{sqrt(JSD)} and has the same direction of interpretation.
#'
#' @param data Data frame with at least `category_col` and `features`.
#' @param features Character vector of feature column names (e.g., c("F1","F2")).
#' @param category_col Name of the column giving the two-way category factor.
#' @param group_col Optional character vector of one or more grouping columns.
#' If provided, returns per-group JSD. Multiple grouping columns are combined
#' into a labeled \code{group} value such as \code{"Sex=F | Style=read"}.
#' @param do_boot Logical; if TRUE, run nonparametric bootstrap.
#' @param n_boot Number of bootstrap resamples.
#' @param min_tokens Minimum total tokens required (globally or per group).
#' @param est_distance Logical; if TRUE, return Jensen-Shannon *distance* (sqrt of divergence).
#' @param conf_level Confidence level for bootstrap interval.
#' @param bw Bandwidth selection method passed to \code{jsd_kde_nd()}.
#' @param eval_on KDE evaluation points passed to \code{jsd_kde_nd()}.
#' @param eval_n Optional maximum number of KDE evaluation points.
#' @param eval_seed Optional integer seed for KDE evaluation-point subsampling.
#' @param engine KDE evaluation engine passed to \code{jsd_kde_nd()}.
#' \code{"fast_diagonal"} is accepted as an alias for \code{"fast_diag"}.
#' @param chunk_size Chunk size for \code{engine = "fast_diag"}.
#' @param method Estimator passed to \code{jsd_kde_nd()}: \code{"mc"} (default)
#' for the Monte-Carlo plug-in estimate of the continuous JSD, or
#' \code{"legacy"} to reproduce the pre-1.2.0 self-normalized sample-point
#' estimate. Ignored when \code{density = "mvnorm"}.
#' @param density Density model behind the estimate, passed to
#' \code{jsd_kde_nd()}: \code{"kde"} (default) estimates each category's
#' density by kernel density estimation; \code{"mvnorm"} fits one multivariate
#' normal per category and estimates the continuous JSD between the two
#' Gaussians by Monte-Carlo. Under \code{"mvnorm"} the KDE-specific arguments
#' do not apply and the Monte-Carlo sample size is set by \code{mc_n}.
#' @param mc_n Positive integer; number of Monte-Carlo samples drawn from each
#' fitted Gaussian when \code{density = "mvnorm"} (default \code{10000}).
#' Ignored when \code{density = "kde"}.
#' @param bw_scale Positive number multiplying the selected kernel bandwidth on
#' the standard-deviation scale (default \code{1}); \code{0.5} and \code{2}
#' give the halved and doubled bandwidths of the smoothing-sensitivity check.
#' Passed to \code{jsd_kde_nd()}; ignored when \code{density = "mvnorm"}.
#' @param ... Additional arguments passed to \code{jsd_kde_nd()} (e.g.,
#' \code{loo}).
#'
#' @return A tibble. Global: one row with columns
#' scope, n_tokens, n_boot, conf_level, jsd_point, jsd_mean, jsd_sd,
#' ci_lower, ci_upper, jsd_low, jsd_high.
#' Grouped: one row per group with columns
#' scope, group, n_tokens, n_boot, conf_level, jsd_point, jsd_mean,
#' jsd_sd, ci_lower, ci_upper, jsd_low, jsd_high.
#' \code{ci_lower} and \code{ci_upper} are the preferred confidence interval
#' columns; \code{jsd_low} and \code{jsd_high} are retained as legacy aliases.
#'
#' @examples
#' set.seed(2026)
#' vowels <- data.frame(
#' speaker = rep(c("s01", "s02"), each = 60),
#' vowel = rep(rep(c("ih", "eh"), each = 30), 2),
#' f1 = c(
#' rnorm(30, 500, 55), rnorm(30, 560, 60),
#' rnorm(30, 510, 60), rnorm(30, 575, 65)
#' ),
#' f2 = c(
#' rnorm(30, 1980, 150), rnorm(30, 1880, 155),
#' rnorm(30, 1960, 160), rnorm(30, 1840, 165)
#' )
#' )
#'
#' # Point estimate of JSD (fast), globally and by speaker.
#' estimate_jsd(
#' data = vowels,
#' features = c("f1", "f2"),
#' category_col = "vowel"
#' )
#' estimate_jsd(vowels, c("f1", "f2"), "vowel", group_col = "speaker")
#'
#' # Bootstrap confidence intervals, shown on a single feature: multivariate
#' # bootstraps work the same way but repeat multivariate bandwidth selection
#' # on every resample, so they take correspondingly longer. Increase n_boot
#' # for real analyses.
#' estimate_jsd(vowels, "f1", "vowel", do_boot = TRUE, n_boot = 20)
#' @export
#' @importFrom rlang .data
estimate_jsd <- function(data,
features,
category_col,
group_col = NULL,
do_boot = FALSE,
n_boot = 1000,
min_tokens = 20,
est_distance = FALSE,
conf_level = 0.95,
bw = c("Hpi", "Hscv", "Hpi.diag", "scott.diag"),
eval_on = c("pooled", "group1", "group2", "pooled_sample"),
eval_n = NULL,
eval_seed = NULL,
engine = c("ks", "fast_diag", "fast_diagonal"),
chunk_size = 1000L,
method = c("mc", "legacy"),
density = c("kde", "mvnorm"),
mc_n = 10000L,
bw_scale = 1,
...) {
bw <- match.arg(bw)
eval_on <- match.arg(eval_on)
engine <- .match_kde_engine(engine)
method <- match.arg(method)
density <- match.arg(density)
.check_bw_scale(bw_scale)
.check_conf_level(conf_level)
if (isTRUE(do_boot)) {
.check_positive_count(n_boot, "n_boot")
}
.check_positive_count(min_tokens, "min_tokens")
.validate_metric_inputs(data, features, category_col, group_col)
.check_columns(data, c(category_col, features))
if (is.null(group_col)) {
# ---- Global ----
df <- .metric_data(data, c(category_col, features))
n <- nrow(df)
if (n < min_tokens) {
stop("estimate_jsd(): Not enough tokens after removing missing values. Got ",
n, ", need at least ", min_tokens, ".")
}
# Ensure exactly two categories
.two_levels(df[[category_col]], "category_col")
# ---- Point estimate via KDE ----
jsd_div_point <- jsd_kde_nd(
data = df,
features = features,
group = category_col,
bw = bw,
eval_on = eval_on,
eval_n = eval_n,
eval_seed = eval_seed,
engine = engine,
chunk_size = chunk_size,
method = method,
density = density,
mc_n = mc_n,
bw_scale = bw_scale,
...
)
jsd_point <- if (est_distance) sqrt(jsd_div_point) else jsd_div_point
# If no bootstrap, just return the point estimate row
if (!do_boot) {
return(tibble::tibble(
scope = "global",
n_tokens = n,
n_boot = 0L,
conf_level = conf_level,
jsd_point = jsd_point,
jsd_mean = NA_real_,
jsd_sd = NA_real_,
ci_lower = NA_real_,
ci_upper = NA_real_,
jsd_low = NA_real_,
jsd_high = NA_real_
))
}
# ---- Bootstrap case ----
alpha <- 1 - conf_level
boot_vals <- vapply(seq_len(n_boot), function(i) {
idx <- sample.int(n, replace = TRUE)
df_boot <- df[idx, , drop = FALSE]
# Guard: some bootstrap samples may lose one category
if (.observed_n_categories(df_boot[[category_col]]) != 2L) {
return(NA_real_)
}
jsd_div_boot <- tryCatch(
jsd_kde_nd(
data = df_boot,
features = features,
group = category_col,
bw = bw,
eval_on = eval_on,
eval_n = eval_n,
eval_seed = eval_seed,
engine = engine,
chunk_size = chunk_size,
method = method,
density = density,
mc_n = mc_n,
bw_scale = bw_scale,
...
),
error = function(e) NA_real_
)
if (is.na(jsd_div_boot)) {
return(NA_real_)
}
if (est_distance) sqrt(jsd_div_boot) else jsd_div_boot
}, numeric(1))
boot_vals <- boot_vals[!is.na(boot_vals)]
if (!length(boot_vals)) {
stop("estimate_jsd(): All bootstrap samples failed. Try increasing n or reducing n_boot.")
}
jsd_mean <- mean(boot_vals)
jsd_sd <- stats::sd(boot_vals)
qs <- stats::quantile(
boot_vals,
probs = c(alpha / 2, 1 - alpha / 2),
names = FALSE
)
return(tibble::tibble(
scope = "global",
n_tokens = n,
n_boot = as.integer(length(boot_vals)),
conf_level = conf_level,
jsd_point = jsd_point,
jsd_mean = jsd_mean,
jsd_sd = jsd_sd,
ci_lower = qs[1],
ci_upper = qs[2],
jsd_low = qs[1],
jsd_high = qs[2]
))
}
# ---- Grouped ----
group_col <- .check_group_cols(group_col)
.check_columns(data, group_col, "group_col")
keep_cols <- c(group_col, category_col, features)
df <- .metric_data(data, keep_cols)
pt <- speaker_jsd(
data = df,
group_col = group_col,
category_col = category_col,
features = features,
min_tokens = min_tokens,
bw = bw,
eval_on = eval_on,
eval_n = eval_n,
eval_seed = eval_seed,
engine = engine,
chunk_size = chunk_size,
method = method,
density = density,
mc_n = mc_n,
bw_scale = bw_scale,
...
) |>
dplyr::rename(jsd_point = "jsd")
if (est_distance) {
pt$jsd_point <- sqrt(pt$jsd_point)
}
if (!do_boot) {
out <- pt
out$scope <- "group"
out$n_boot <- 0L
out$conf_level <- conf_level
out$jsd_mean <- NA_real_
out$jsd_sd <- NA_real_
out$ci_lower <- NA_real_
out$ci_upper <- NA_real_
out$jsd_low <- NA_real_
out$jsd_high <- NA_real_
out <- out[, c("scope", "group", "n_tokens", "n_boot",
"conf_level", "jsd_point", "jsd_mean", "jsd_sd",
"ci_lower", "ci_upper", "jsd_low", "jsd_high")]
return(out)
}
bt <- boot_jsd(
data = df,
group_col = group_col,
category_col = category_col,
features = features,
n_boot = n_boot,
min_tokens = min_tokens,
est_distance = est_distance,
conf_level = conf_level,
bw = bw,
eval_on = eval_on,
eval_n = eval_n,
eval_seed = eval_seed,
engine = engine,
chunk_size = chunk_size,
method = method,
density = density,
mc_n = mc_n,
bw_scale = bw_scale,
...
)
out <- dplyr::left_join(pt, bt, by = c("group", "n_tokens"))
out$scope <- "group"
out <- out[, c("scope", "group", "n_tokens", "n_boot",
"conf_level", "jsd_point", "jsd_mean", "jsd_sd",
"ci_lower", "ci_upper", "jsd_low", "jsd_high")]
out
}
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