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#' Psuedo-Huber Loss
#'
#' Calculate the Pseudo-Huber Loss, a smooth approximation of [huber_loss()].
#' Like [huber_loss()], this is less sensitive to outliers than [rmse()].
#'
#' @family numeric metrics
#' @family accuracy metrics
#' @templateVar fn huber_loss_pseudo
#' @template return
#'
#' @inheritParams huber_loss
#'
#' @author James Blair
#'
#' @references
#'
#' Huber, P. (1964). Robust Estimation of a Location Parameter.
#' _Annals of Statistics_, 53 (1), 73-101.
#'
#' Hartley, Richard (2004). Multiple View Geometry in Computer Vision.
#' (Second Edition). Page 619.
#'
#' @template examples-numeric
#'
#' @export
huber_loss_pseudo <- function(data, ...) {
UseMethod("huber_loss_pseudo")
}
huber_loss_pseudo <- new_numeric_metric(
huber_loss_pseudo,
direction = "minimize"
)
#' @rdname huber_loss_pseudo
#' @export
huber_loss_pseudo.data.frame <- function(data,
truth,
estimate,
delta = 1,
na_rm = TRUE,
case_weights = NULL,
...) {
numeric_metric_summarizer(
name = "huber_loss_pseudo",
fn = huber_loss_pseudo_vec,
data = data,
truth = !!enquo(truth),
estimate = !!enquo(estimate),
na_rm = na_rm,
case_weights = !!enquo(case_weights),
# Extra argument for huber_loss_pseudo_impl()
fn_options = list(delta = delta)
)
}
#' @export
#' @rdname huber_loss_pseudo
huber_loss_pseudo_vec <- function(truth,
estimate,
delta = 1,
na_rm = TRUE,
case_weights = NULL,
...) {
check_numeric_metric(truth, estimate, case_weights)
if (na_rm) {
result <- yardstick_remove_missing(truth, estimate, case_weights)
truth <- result$truth
estimate <- result$estimate
case_weights <- result$case_weights
} else if (yardstick_any_missing(truth, estimate, case_weights)) {
return(NA_real_)
}
huber_loss_pseudo_impl(
truth = truth,
estimate = estimate,
delta = delta,
case_weights = case_weights
)
}
huber_loss_pseudo_impl <- function(truth,
estimate,
delta,
case_weights,
call = caller_env()) {
check_number_decimal(delta, min = 0, call = call)
a <- truth - estimate
loss <- delta^2 * (sqrt(1 + (a / delta)^2) - 1)
yardstick_mean(loss, case_weights = case_weights)
}
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