Files
rust-optimizer/src/sampler/tpe/gamma.rs
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2026-02-02 17:25:50 +01:00

671 lines
19 KiB
Rust

use core::fmt::Debug;
use crate::Error;
/// A strategy for computing the gamma quantile in TPE.
///
/// The gamma value determines what fraction of trials are considered "good"
/// when splitting the trial history. Different strategies can adapt this
/// fraction based on the number of completed trials.
///
/// # Implementation Notes
///
/// - The returned gamma must be in the range (0.0, 1.0)
/// - Implementations should be deterministic for reproducibility
/// - The `clone_box` method enables trait object cloning
///
/// # Examples
///
/// ```
/// use optimizer::sampler::tpe::GammaStrategy;
///
/// #[derive(Debug, Clone)]
/// struct ConstantGamma(f64);
///
/// impl GammaStrategy for ConstantGamma {
/// fn gamma(&self, _n_trials: usize) -> f64 {
/// self.0
/// }
///
/// fn clone_box(&self) -> Box<dyn GammaStrategy> {
/// Box::new(self.clone())
/// }
/// }
/// ```
pub trait GammaStrategy: Send + Sync + Debug {
/// Computes the gamma quantile based on the number of completed trials.
///
/// # Arguments
///
/// * `n_trials` - The number of completed trials in the history.
///
/// # Returns
///
/// A gamma value in the range (0.0, 1.0). Values outside this range
/// will be clamped by the sampler.
fn gamma(&self, n_trials: usize) -> f64;
/// Creates a boxed clone of this strategy.
///
/// This method enables cloning of trait objects, which is necessary
/// for the builder pattern and sampler configuration.
fn clone_box(&self) -> Box<dyn GammaStrategy>;
}
impl Clone for Box<dyn GammaStrategy> {
fn clone(&self) -> Self {
self.clone_box()
}
}
/// A fixed gamma strategy that returns a constant value.
///
/// This is the simplest strategy and the default behavior of TPE.
/// The gamma value remains constant regardless of the number of trials.
///
/// # Examples
///
/// ```
/// use optimizer::sampler::tpe::{FixedGamma, TpeSampler};
///
/// // Use 15% of trials as "good"
/// let sampler = TpeSampler::builder()
/// .gamma_strategy(FixedGamma::new(0.15).unwrap())
/// .build()
/// .unwrap();
/// ```
#[derive(Debug, Clone, Copy)]
pub struct FixedGamma {
gamma: f64,
}
impl FixedGamma {
/// Creates a new fixed gamma strategy.
///
/// # Arguments
///
/// * `gamma` - The constant gamma value to use.
///
/// # Errors
///
/// Returns `Error::InvalidGamma` if gamma is not in (0.0, 1.0).
///
/// # Examples
///
/// ```
/// use optimizer::sampler::tpe::FixedGamma;
///
/// let strategy = FixedGamma::new(0.25).unwrap();
/// assert!((strategy.value() - 0.25).abs() < f64::EPSILON);
/// ```
pub fn new(gamma: f64) -> crate::Result<Self> {
if gamma <= 0.0 || gamma >= 1.0 {
return Err(Error::InvalidGamma(gamma));
}
Ok(Self { gamma })
}
/// Returns the fixed gamma value.
#[must_use]
pub fn value(&self) -> f64 {
self.gamma
}
}
impl Default for FixedGamma {
/// Creates a fixed gamma strategy with the default value of 0.25.
fn default() -> Self {
Self { gamma: 0.25 }
}
}
impl GammaStrategy for FixedGamma {
fn gamma(&self, _n_trials: usize) -> f64 {
self.gamma
}
fn clone_box(&self) -> Box<dyn GammaStrategy> {
Box::new(*self)
}
}
/// A linear gamma strategy that interpolates between min and max values.
///
/// The gamma value increases linearly from `gamma_min` to `gamma_max` as the
/// number of trials grows from 0 to `n_trials_max`. Beyond `n_trials_max`,
/// gamma remains at `gamma_max`.
///
/// This strategy is useful when you want to be more explorative early on
/// (smaller gamma = fewer "good" trials) and more exploitative later
/// (larger gamma = more "good" trials).
///
/// # Formula
///
/// ```text
/// gamma = gamma_min + (gamma_max - gamma_min) * min(n_trials / n_trials_max, 1.0)
/// ```
///
/// # Examples
///
/// ```
/// use optimizer::sampler::tpe::{GammaStrategy, LinearGamma, TpeSampler};
///
/// let strategy = LinearGamma::new(0.1, 0.4, 100).unwrap();
///
/// // At 0 trials: gamma = 0.1
/// assert!((strategy.gamma(0) - 0.1).abs() < f64::EPSILON);
///
/// // At 50 trials: gamma = 0.25 (midpoint)
/// assert!((strategy.gamma(50) - 0.25).abs() < f64::EPSILON);
///
/// // At 100+ trials: gamma = 0.4
/// assert!((strategy.gamma(100) - 0.4).abs() < f64::EPSILON);
/// assert!((strategy.gamma(200) - 0.4).abs() < f64::EPSILON);
/// ```
#[derive(Debug, Clone, Copy)]
pub struct LinearGamma {
gamma_min: f64,
gamma_max: f64,
n_trials_max: usize,
}
impl LinearGamma {
/// Creates a new linear gamma strategy.
///
/// # Arguments
///
/// * `gamma_min` - The minimum gamma value (at 0 trials).
/// * `gamma_max` - The maximum gamma value (at `n_trials_max` trials).
/// * `n_trials_max` - The number of trials at which gamma reaches its maximum.
///
/// # Errors
///
/// Returns `Error::InvalidGamma` if:
/// - `gamma_min` is not in (0.0, 1.0)
/// - `gamma_max` is not in (0.0, 1.0)
/// - `gamma_min > gamma_max`
///
/// # Examples
///
/// ```
/// use optimizer::sampler::tpe::LinearGamma;
///
/// // Gamma goes from 0.1 to 0.3 over 50 trials
/// let strategy = LinearGamma::new(0.1, 0.3, 50).unwrap();
/// ```
pub fn new(gamma_min: f64, gamma_max: f64, n_trials_max: usize) -> crate::Result<Self> {
if gamma_min <= 0.0 || gamma_min >= 1.0 {
return Err(Error::InvalidGamma(gamma_min));
}
if gamma_max <= 0.0 || gamma_max >= 1.0 {
return Err(Error::InvalidGamma(gamma_max));
}
if gamma_min > gamma_max {
return Err(Error::InvalidGamma(gamma_min));
}
Ok(Self {
gamma_min,
gamma_max,
n_trials_max,
})
}
/// Returns the minimum gamma value.
#[must_use]
pub fn gamma_min(&self) -> f64 {
self.gamma_min
}
/// Returns the maximum gamma value.
#[must_use]
pub fn gamma_max(&self) -> f64 {
self.gamma_max
}
/// Returns the number of trials at which gamma reaches its maximum.
#[must_use]
pub fn n_trials_max(&self) -> usize {
self.n_trials_max
}
}
impl Default for LinearGamma {
/// Creates a linear gamma strategy with default values:
/// - `gamma_min`: 0.10
/// - `gamma_max`: 0.25
/// - `n_trials_max`: 100
fn default() -> Self {
Self {
gamma_min: 0.10,
gamma_max: 0.25,
n_trials_max: 100,
}
}
}
impl GammaStrategy for LinearGamma {
#[allow(clippy::cast_precision_loss)]
fn gamma(&self, n_trials: usize) -> f64 {
if self.n_trials_max == 0 {
return self.gamma_max;
}
let t = (n_trials as f64 / self.n_trials_max as f64).min(1.0);
self.gamma_min + (self.gamma_max - self.gamma_min) * t
}
fn clone_box(&self) -> Box<dyn GammaStrategy> {
Box::new(*self)
}
}
/// A square root gamma strategy inspired by Optuna's default behavior.
///
/// The gamma value is computed based on the inverse square root of the number
/// of trials, providing a balance between exploration and exploitation that
/// naturally adapts as more data becomes available.
///
/// # Formula
///
/// ```text
/// n_good = max(1, floor(gamma_factor / sqrt(n_trials)))
/// gamma = min(gamma_max, n_good / n_trials)
/// ```
///
/// When `n_trials` is 0, returns `gamma_max`.
///
/// # Examples
///
/// ```
/// use optimizer::sampler::tpe::{GammaStrategy, SqrtGamma, TpeSampler};
///
/// let strategy = SqrtGamma::default();
///
/// // Gamma decreases as trials increase
/// let g10 = strategy.gamma(10);
/// let g100 = strategy.gamma(100);
/// assert!(g10 > g100, "Gamma should decrease with more trials");
/// ```
#[derive(Debug, Clone, Copy)]
pub struct SqrtGamma {
gamma_factor: f64,
gamma_max: f64,
}
impl SqrtGamma {
/// Creates a new square root gamma strategy.
///
/// # Arguments
///
/// * `gamma_factor` - The factor controlling how quickly gamma decreases.
/// Higher values mean more "good" trials at any given point.
/// * `gamma_max` - The maximum gamma value (used when `n_trials` is small).
///
/// # Errors
///
/// Returns `Error::InvalidGamma` if:
/// - `gamma_factor` is not positive
/// - `gamma_max` is not in (0.0, 1.0)
///
/// # Examples
///
/// ```
/// use optimizer::sampler::tpe::SqrtGamma;
///
/// let strategy = SqrtGamma::new(1.0, 0.25).unwrap();
/// ```
pub fn new(gamma_factor: f64, gamma_max: f64) -> crate::Result<Self> {
if gamma_factor <= 0.0 {
return Err(Error::InvalidGamma(gamma_factor));
}
if gamma_max <= 0.0 || gamma_max >= 1.0 {
return Err(Error::InvalidGamma(gamma_max));
}
Ok(Self {
gamma_factor,
gamma_max,
})
}
/// Returns the gamma factor.
#[must_use]
pub fn gamma_factor(&self) -> f64 {
self.gamma_factor
}
/// Returns the maximum gamma value.
#[must_use]
pub fn gamma_max(&self) -> f64 {
self.gamma_max
}
}
impl Default for SqrtGamma {
/// Creates a square root gamma strategy with default values:
/// - `gamma_factor`: 1.0
/// - `gamma_max`: 0.25
fn default() -> Self {
Self {
gamma_factor: 1.0,
gamma_max: 0.25,
}
}
}
impl GammaStrategy for SqrtGamma {
#[allow(clippy::cast_precision_loss)]
fn gamma(&self, n_trials: usize) -> f64 {
if n_trials == 0 {
return self.gamma_max;
}
let n_good = (self.gamma_factor / (n_trials as f64).sqrt()).max(1.0);
(n_good / n_trials as f64).min(self.gamma_max)
}
fn clone_box(&self) -> Box<dyn GammaStrategy> {
Box::new(*self)
}
}
/// A Hyperopt-style gamma strategy.
///
/// This strategy computes gamma as `min(gamma_max, (gamma_base + 1) / n_trials)`,
/// which is inspired by the original Hyperopt TPE implementation.
///
/// # Formula
///
/// ```text
/// gamma = min(gamma_max, (gamma_base + 1) / n_trials)
/// ```
///
/// When `n_trials` is 0, returns `gamma_max`.
///
/// # Examples
///
/// ```
/// use optimizer::sampler::tpe::{GammaStrategy, HyperoptGamma};
///
/// // With gamma_base=24 and gamma_max=0.5:
/// // - At n=25: gamma = min(0.5, 25/25) = 0.5 (capped)
/// // - At n=100: gamma = min(0.5, 25/100) = 0.25
/// let strategy = HyperoptGamma::new(24.0, 0.5).unwrap();
///
/// // Early trials have higher gamma
/// let g50 = strategy.gamma(50);
/// let g200 = strategy.gamma(200);
/// assert!(g50 > g200, "Gamma should decrease with more trials");
/// ```
#[derive(Debug, Clone, Copy)]
pub struct HyperoptGamma {
gamma_base: f64,
gamma_max: f64,
}
impl HyperoptGamma {
/// Creates a new Hyperopt-style gamma strategy.
///
/// # Arguments
///
/// * `gamma_base` - The base value added to 1 in the numerator.
/// * `gamma_max` - The maximum gamma value.
///
/// # Errors
///
/// Returns `Error::InvalidGamma` if:
/// - `gamma_base` is negative
/// - `gamma_max` is not in (0.0, 1.0)
///
/// # Examples
///
/// ```
/// use optimizer::sampler::tpe::HyperoptGamma;
///
/// let strategy = HyperoptGamma::new(24.0, 0.25).unwrap();
/// ```
pub fn new(gamma_base: f64, gamma_max: f64) -> crate::Result<Self> {
if gamma_base < 0.0 {
return Err(Error::InvalidGamma(gamma_base));
}
if gamma_max <= 0.0 || gamma_max >= 1.0 {
return Err(Error::InvalidGamma(gamma_max));
}
Ok(Self {
gamma_base,
gamma_max,
})
}
/// Returns the gamma base value.
#[must_use]
pub fn gamma_base(&self) -> f64 {
self.gamma_base
}
/// Returns the maximum gamma value.
#[must_use]
pub fn gamma_max(&self) -> f64 {
self.gamma_max
}
}
impl Default for HyperoptGamma {
/// Creates a Hyperopt-style gamma strategy with default values:
/// - `gamma_base`: 24.0
/// - `gamma_max`: 0.25
fn default() -> Self {
Self {
gamma_base: 24.0,
gamma_max: 0.25,
}
}
}
impl GammaStrategy for HyperoptGamma {
#[allow(clippy::cast_precision_loss)]
fn gamma(&self, n_trials: usize) -> f64 {
if n_trials == 0 {
return self.gamma_max;
}
((self.gamma_base + 1.0) / n_trials as f64).min(self.gamma_max)
}
fn clone_box(&self) -> Box<dyn GammaStrategy> {
Box::new(*self)
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::sampler::tpe::TpeSampler;
#[test]
fn test_fixed_gamma_default() {
let strategy = FixedGamma::default();
assert!((strategy.gamma(0) - 0.25).abs() < f64::EPSILON);
assert!((strategy.gamma(100) - 0.25).abs() < f64::EPSILON);
assert!((strategy.value() - 0.25).abs() < f64::EPSILON);
}
#[test]
fn test_fixed_gamma_custom() {
let strategy = FixedGamma::new(0.15).unwrap();
assert!((strategy.gamma(0) - 0.15).abs() < f64::EPSILON);
assert!((strategy.gamma(50) - 0.15).abs() < f64::EPSILON);
assert!((strategy.gamma(1000) - 0.15).abs() < f64::EPSILON);
}
#[test]
fn test_fixed_gamma_invalid() {
assert!(FixedGamma::new(0.0).is_err());
assert!(FixedGamma::new(1.0).is_err());
assert!(FixedGamma::new(-0.1).is_err());
assert!(FixedGamma::new(1.5).is_err());
}
#[test]
fn test_linear_gamma_default() {
let strategy = LinearGamma::default();
assert!((strategy.gamma(0) - 0.10).abs() < f64::EPSILON);
assert!((strategy.gamma(50) - 0.175).abs() < f64::EPSILON); // midpoint
assert!((strategy.gamma(100) - 0.25).abs() < f64::EPSILON);
assert!((strategy.gamma(200) - 0.25).abs() < f64::EPSILON); // capped
}
#[test]
fn test_linear_gamma_custom() {
let strategy = LinearGamma::new(0.1, 0.4, 100).unwrap();
assert!((strategy.gamma(0) - 0.1).abs() < f64::EPSILON);
assert!((strategy.gamma(50) - 0.25).abs() < f64::EPSILON);
assert!((strategy.gamma(100) - 0.4).abs() < f64::EPSILON);
assert!((strategy.gamma(200) - 0.4).abs() < f64::EPSILON);
}
#[test]
fn test_linear_gamma_invalid() {
assert!(LinearGamma::new(0.0, 0.5, 100).is_err());
assert!(LinearGamma::new(0.1, 1.0, 100).is_err());
assert!(LinearGamma::new(0.5, 0.2, 100).is_err()); // min > max
}
#[test]
fn test_sqrt_gamma_default() {
let strategy = SqrtGamma::default();
// At n=0, returns gamma_max
assert!((strategy.gamma(0) - 0.25).abs() < f64::EPSILON);
// gamma decreases with more trials
let g10 = strategy.gamma(10);
let g100 = strategy.gamma(100);
assert!(g10 > g100);
}
#[test]
fn test_sqrt_gamma_custom() {
let strategy = SqrtGamma::new(2.0, 0.5).unwrap();
assert!((strategy.gamma(0) - 0.5).abs() < f64::EPSILON);
// At n=4: n_good = max(1, 2/2) = 1, gamma = 1/4 = 0.25
let g4 = strategy.gamma(4);
assert!((g4 - 0.25).abs() < f64::EPSILON);
}
#[test]
fn test_sqrt_gamma_invalid() {
assert!(SqrtGamma::new(0.0, 0.25).is_err()); // factor must be positive
assert!(SqrtGamma::new(-1.0, 0.25).is_err());
assert!(SqrtGamma::new(1.0, 0.0).is_err());
assert!(SqrtGamma::new(1.0, 1.0).is_err());
}
#[test]
fn test_hyperopt_gamma_default() {
let strategy = HyperoptGamma::default();
// At n=0, returns gamma_max
assert!((strategy.gamma(0) - 0.25).abs() < f64::EPSILON);
// At n=100: (24+1)/100 = 0.25, so capped to 0.25
assert!((strategy.gamma(100) - 0.25).abs() < f64::EPSILON);
// At n=200: (24+1)/200 = 0.125
assert!((strategy.gamma(200) - 0.125).abs() < f64::EPSILON);
}
#[test]
fn test_hyperopt_gamma_custom() {
let strategy = HyperoptGamma::new(9.0, 0.5).unwrap();
// At n=20: (9+1)/20 = 0.5, capped to 0.5
assert!((strategy.gamma(20) - 0.5).abs() < f64::EPSILON);
// At n=100: (9+1)/100 = 0.1
assert!((strategy.gamma(100) - 0.1).abs() < f64::EPSILON);
}
#[test]
fn test_hyperopt_gamma_invalid() {
assert!(HyperoptGamma::new(-1.0, 0.25).is_err());
assert!(HyperoptGamma::new(24.0, 0.0).is_err());
assert!(HyperoptGamma::new(24.0, 1.0).is_err());
}
#[test]
fn test_gamma_strategy_clone_box() {
let fixed: Box<dyn GammaStrategy> = Box::new(FixedGamma::new(0.3).unwrap());
let cloned = fixed.clone();
assert!((cloned.gamma(0) - 0.3).abs() < f64::EPSILON);
let linear: Box<dyn GammaStrategy> = Box::new(LinearGamma::default());
let cloned = linear.clone();
assert!((cloned.gamma(0) - 0.10).abs() < f64::EPSILON);
}
#[test]
fn test_tpe_with_linear_gamma_strategy() {
let sampler = TpeSampler::builder()
.gamma_strategy(LinearGamma::new(0.1, 0.3, 50).unwrap())
.n_startup_trials(5)
.seed(42)
.build()
.unwrap();
// Verify the strategy is applied
let g = sampler.gamma_strategy().gamma(25);
assert!((g - 0.2).abs() < f64::EPSILON); // midpoint of 0.1 to 0.3
}
#[test]
fn test_gamma_overrides_gamma_strategy() {
// When gamma() is called after gamma_strategy(), it should take precedence
let sampler = TpeSampler::builder()
.gamma_strategy(SqrtGamma::default())
.gamma(0.15) // This should override
.build()
.unwrap();
// Should use fixed gamma of 0.15
assert!((sampler.gamma_strategy().gamma(0) - 0.15).abs() < f64::EPSILON);
assert!((sampler.gamma_strategy().gamma(100) - 0.15).abs() < f64::EPSILON);
}
#[test]
fn test_gamma_strategy_overrides_gamma() {
// When gamma_strategy() is called after gamma(), it should take precedence
let sampler = TpeSampler::builder()
.gamma(0.15)
.gamma_strategy(SqrtGamma::default()) // This should override
.build()
.unwrap();
// Should use SqrtGamma - gamma decreases with trials
let g10 = sampler.gamma_strategy().gamma(10);
let g100 = sampler.gamma_strategy().gamma(100);
assert!(g10 > g100, "SqrtGamma should decrease with more trials");
}
#[test]
fn test_custom_gamma_strategy() {
#[derive(Debug, Clone)]
struct DoubleGamma;
impl GammaStrategy for DoubleGamma {
fn gamma(&self, n_trials: usize) -> f64 {
// Double the trial count-based calculation, capped at 0.5
#[allow(clippy::cast_precision_loss)]
(0.01 * n_trials as f64).min(0.5)
}
fn clone_box(&self) -> Box<dyn GammaStrategy> {
Box::new(self.clone())
}
}
let sampler = TpeSampler::builder()
.gamma_strategy(DoubleGamma)
.build()
.unwrap();
assert!((sampler.gamma_strategy().gamma(10) - 0.1).abs() < f64::EPSILON);
assert!((sampler.gamma_strategy().gamma(50) - 0.5).abs() < f64::EPSILON);
assert!((sampler.gamma_strategy().gamma(100) - 0.5).abs() < f64::EPSILON);
}
}