use crate::metrics::evaluation::Metric;
use crate::objective::ObjectiveFunction;
use serde::{Deserialize, Serialize};
#[derive(Default, Debug, Deserialize, Serialize, Clone)]
pub struct MapeLoss {}
impl ObjectiveFunction for MapeLoss {
#[inline]
fn loss(&self, y: &[f64], yhat: &[f64], sample_weight: Option<&[f64]>, _group: Option<&[u64]>) -> Vec<f32> {
let epsilon = 1e-4;
match sample_weight {
Some(sample_weight) => y
.iter()
.zip(yhat)
.zip(sample_weight)
.map(|((y_, yhat_), w_)| {
let diff = (*yhat_ - *y_).abs();
let denom = y_.abs().max(epsilon);
(w_ * diff / denom) as f32
})
.collect(),
None => y
.iter()
.zip(yhat)
.map(|(y_, yhat_)| {
let diff = (*yhat_ - *y_).abs();
let denom = y_.abs().max(epsilon);
(diff / denom) as f32
})
.collect(),
}
}
#[inline]
fn gradient(
&self,
y: &[f64],
yhat: &[f64],
sample_weight: Option<&[f64]>,
_group: Option<&[u64]>,
) -> (Vec<f32>, Option<Vec<f32>>) {
let len = y.len();
let mut g = Vec::with_capacity(len);
let epsilon = 1e-4_f32;
match sample_weight {
Some(w) => {
for i in 0..len {
let y_val = y[i] as f32;
let yhat_val = yhat[i] as f32;
let w_val = w[i] as f32;
let diff = yhat_val - y_val;
let denom = y_val.abs().max(epsilon);
let sign = if diff > 0.0 {
1.0
} else if diff < 0.0 {
-1.0
} else {
0.0
};
g.push(w_val * sign / denom);
}
(g, None)
}
None => {
for i in 0..len {
let y_val = y[i] as f32;
let yhat_val = yhat[i] as f32;
let diff = yhat_val - y_val;
let denom = y_val.abs().max(epsilon);
let sign = if diff > 0.0 {
1.0
} else if diff < 0.0 {
-1.0
} else {
0.0
};
g.push(sign / denom);
}
(g, None)
}
}
}
fn default_metric(&self) -> Metric {
Metric::RootMeanSquaredError
}
fn requires_batch_evaluation(&self) -> bool {
false
}
}
impl MapeLoss {
#[inline]
pub fn loss_single(&self, y: f64, yhat: f64, sample_weight: Option<f64>) -> f32 {
let epsilon = 1e-4;
let diff = (yhat - y).abs();
let denom = y.abs().max(epsilon);
let l = diff / denom;
match sample_weight {
Some(w) => (l * w) as f32,
None => l as f32,
}
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_mape_loss_init() {
let y = vec![1.0, 2.0, 3.0];
let loss_fn = MapeLoss::default();
assert_eq!(loss_fn.initial_value(&y, None, None), 2.0);
}
#[test]
fn test_mape_loss() {
let y = vec![2.0, 0.5];
let yhat = vec![1.0, 1.0];
let loss_fn = MapeLoss::default();
let l = loss_fn.loss(&y, &yhat, None, None);
assert_eq!(l, vec![0.5, 1.0]);
let w = vec![2.0, 0.5];
let lw = loss_fn.loss(&y, &yhat, Some(&w), None);
assert_eq!(lw, vec![1.0, 0.5]);
}
#[test]
fn test_mape_gradient() {
let y = vec![2.0, 0.5];
let yhat = vec![1.0, 1.0];
let loss_fn = MapeLoss::default();
let (g, h) = loss_fn.gradient(&y, &yhat, None, None);
assert_eq!(g, vec![-0.5, 2.0]);
assert!(h.is_none());
let w = vec![2.0, 0.5];
let (gw, hw) = loss_fn.gradient(&y, &yhat, Some(&w), None);
assert_eq!(gw, vec![-1.0, 1.0]);
assert!(hw.is_none());
}
#[test]
fn test_mape_weighted() {
let y = vec![2.0, 0.5];
let yhat = vec![1.0, 1.0];
let w = vec![2.0, 0.5];
let loss_fn = MapeLoss::default();
let (g, h, l) = loss_fn.gradient_and_loss(&y, &yhat, Some(&w), None);
assert_eq!(g, vec![-1.0, 1.0]);
assert!(h.is_none());
assert_eq!(l, vec![1.0, 0.5]);
}
#[test]
fn test_mape_gradient_and_loss() {
let y = vec![2.0, 0.5];
let yhat = vec![1.0, 1.0];
let loss_fn = MapeLoss::default();
let (g, h, l) = loss_fn.gradient_and_loss(&y, &yhat, None, None);
assert_eq!(g, vec![-0.5, 2.0]);
assert!(h.is_none());
assert_eq!(l, vec![0.5, 1.0]);
}
#[test]
fn test_mape_gradient_and_loss_into() {
let y = vec![2.0, 0.5];
let yhat = vec![1.0, 1.0];
let loss_fn = MapeLoss::default();
let mut grad = vec![0.0; 2];
let mut hess: Option<Vec<f32>> = None;
let mut loss = vec![0.0; 2];
loss_fn.gradient_and_loss_into(&y, &yhat, None, None, &mut grad, &mut hess, &mut loss);
assert_eq!(grad, vec![-0.5, 2.0]);
assert!(hess.is_none());
assert_eq!(loss, vec![0.5, 1.0]);
}
#[test]
fn test_mape_loss_single() {
let loss_fn = MapeLoss::default();
assert_eq!(loss_fn.loss_single(2.0, 1.0, None), 0.5);
assert_eq!(loss_fn.loss_single(2.0, 1.0, Some(2.0)), 1.0);
}
}