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heuropt/src/algorithms/hype.rs
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swaits 6371d82f40 docs(0.9): release notes, cookbook recipe, README polish
Companion to the feat(explorer) commit. Bumps the version and
brings every cross-referencing doc up to v0.9 currency.

- Cargo.toml: version 0.8.0 -> 0.9.0.
- CHANGELOG: 0.9.0 entry covering the explorer export, the
  Problem-side metadata additions, the AlgorithmInfo trait, the
  pick_a_car example, and the new cookbook recipe.
- README: closing paragraph of the PickACar example points users
  at the explorer with a one-call snippet
  (`ExplorerExport::from_result(...).with_algorithm_info(...)
  .to_file(...)?`). Version snippets bumped 0.8 -> 0.9.
- New cookbook recipe at docs/book/src/cookbook/explorer.md
  covering: enabling the serde feature, enriching Problem with
  labels/units/decision-schema, the export call, the JSON schema,
  and custom decision-type handling.
- SUMMARY.md and cookbook.md link the new recipe.
- migration.md: new "To 0.9" section documenting the additive
  changes (purely backwards-compatible upgrade from 0.8.x).
- introduction.md, comparison.md, choosing-an-algorithm.md,
  stability.md: version refs bumped 0.8 -> 0.9.
- cookbook/parallel.md, cookbook/async.md: version refs bumped
  0.8 -> 0.9.
- getting-started.md: version refs bumped, serde feature
  description expanded to mention the explorer module.
- SECURITY.md: supported-versions table moves to 0.9.x.
2026-05-06 22:45:59 -06:00

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//! `Hype` — Bader & Zitzler 2011 Hypervolume Estimation Algorithm.
//!
//! HypE replaces the exact hypervolume contribution used in SMS-EMOA with
//! a Monte Carlo estimate, so it scales to arbitrary objective counts at
//! the cost of stochastic noise on the contribution estimate.
use rand::Rng as _;
use crate::algorithms::parallel_eval::evaluate_batch;
use crate::core::candidate::Candidate;
use crate::core::objective::ObjectiveSpace;
use crate::core::population::Population;
use crate::core::problem::Problem;
use crate::core::result::OptimizationResult;
use crate::core::rng::{Rng, rng_from_seed};
use crate::pareto::front::{best_candidate, pareto_front};
use crate::pareto::sort::non_dominated_sort;
use crate::traits::{Initializer, Optimizer, Variation};
/// Configuration for [`Hype`].
#[derive(Debug, Clone)]
pub struct HypeConfig {
/// Constant population size.
pub population_size: usize,
/// Number of generations.
pub generations: usize,
/// Reference point used to bound the Monte Carlo integration box.
/// Must have one entry per objective; should be worse than every
/// realistic objective value.
pub reference_point: Vec<f64>,
/// Number of Monte Carlo samples per HV estimation step.
pub mc_samples: usize,
/// Seed for the deterministic RNG.
pub seed: u64,
}
impl Default for HypeConfig {
fn default() -> Self {
Self {
population_size: 100,
generations: 250,
reference_point: vec![11.0, 11.0],
mc_samples: 10_000,
seed: 42,
}
}
}
/// Hypervolume Estimation Algorithm: many-objective MOEA that selects via
/// Monte Carloestimated hypervolume contributions.
///
/// # Example
///
/// ```
/// use heuropt::prelude::*;
///
/// struct Schaffer;
/// impl Problem for Schaffer {
/// type Decision = Vec<f64>;
/// fn objectives(&self) -> ObjectiveSpace {
/// ObjectiveSpace::new(vec![Objective::minimize("f1"), Objective::minimize("f2")])
/// }
/// fn evaluate(&self, x: &Vec<f64>) -> Evaluation {
/// Evaluation::new(vec![x[0] * x[0], (x[0] - 2.0).powi(2)])
/// }
/// }
///
/// let bounds = vec![(-5.0_f64, 5.0_f64)];
/// let mut opt = Hype::new(
/// HypeConfig {
/// population_size: 20,
/// generations: 20,
/// reference_point: vec![30.0, 30.0],
/// mc_samples: 100,
/// seed: 42,
/// },
/// RealBounds::new(bounds.clone()),
/// CompositeVariation {
/// crossover: SimulatedBinaryCrossover::new(bounds.clone(), 15.0, 0.5),
/// mutation: PolynomialMutation::new(bounds, 20.0, 1.0),
/// },
/// );
/// let r = opt.run(&Schaffer);
/// assert!(!r.pareto_front.is_empty());
/// ```
#[derive(Debug, Clone)]
pub struct Hype<I, V> {
/// Algorithm configuration.
pub config: HypeConfig,
/// Initial-decision sampler.
pub initializer: I,
/// Offspring-producing variation operator.
pub variation: V,
}
impl<I, V> Hype<I, V> {
/// Construct a `Hype`.
pub fn new(config: HypeConfig, initializer: I, variation: V) -> Self {
Self {
config,
initializer,
variation,
}
}
}
impl<P, I, V> Optimizer<P> for Hype<I, V>
where
P: Problem + Sync,
P::Decision: Send,
I: Initializer<P::Decision>,
V: Variation<P::Decision>,
{
fn run(&mut self, problem: &P) -> OptimizationResult<P::Decision> {
assert!(
self.config.population_size > 0,
"Hype population_size must be > 0"
);
assert!(self.config.mc_samples > 0, "Hype mc_samples must be > 0");
let n = self.config.population_size;
let objectives = problem.objectives();
assert_eq!(
self.config.reference_point.len(),
objectives.len(),
"Hype reference_point.len() must equal number of objectives",
);
let reference = self.config.reference_point.clone();
let mut rng = rng_from_seed(self.config.seed);
let initial_decisions = self.initializer.initialize(n, &mut rng);
let mut population: Vec<Candidate<P::Decision>> =
evaluate_batch(problem, initial_decisions);
let mut evaluations = population.len();
for _ in 0..self.config.generations {
// Phase 1: parent selection + variation (random tournament on
// a fitness-by-HV-estimate proxy).
let fitness = hype_fitness(
&population,
&objectives,
&reference,
self.config.mc_samples,
&mut rng,
);
let mut offspring_decisions: Vec<P::Decision> = Vec::with_capacity(n);
while offspring_decisions.len() < n {
let p1 = binary_tournament(&fitness, &mut rng);
let p2 = binary_tournament(&fitness, &mut rng);
let parents = vec![
population[p1].decision.clone(),
population[p2].decision.clone(),
];
let children = self.variation.vary(&parents, &mut rng);
assert!(!children.is_empty(), "Hype variation returned no children");
for child in children {
if offspring_decisions.len() >= n {
break;
}
offspring_decisions.push(child);
}
}
// Phase 2: parallel-friendly batch evaluation.
let offspring = evaluate_batch(problem, offspring_decisions);
evaluations += offspring.len();
// Phase 3: combine + survival via front-by-front fill plus
// estimated-contribution truncation on the splitting front.
let mut combined: Vec<Candidate<P::Decision>> = Vec::with_capacity(2 * n);
combined.extend(population);
combined.extend(offspring);
let fronts = non_dominated_sort(&combined, &objectives);
let mut keep_indices: Vec<usize> = Vec::with_capacity(n);
let mut splitting: &[usize] = &[];
for f in &fronts {
if keep_indices.len() + f.len() <= n {
keep_indices.extend(f.iter().copied());
} else {
splitting = f;
break;
}
if keep_indices.len() == n {
break;
}
}
if keep_indices.len() < n {
// Need to choose `n - keep_indices.len()` from `splitting`
// by largest HV contribution.
let pool: Vec<&Candidate<P::Decision>> =
splitting.iter().map(|&i| &combined[i]).collect();
let contributions = estimate_contributions(
&pool,
&objectives,
&reference,
self.config.mc_samples,
&mut rng,
);
let mut order: Vec<usize> = (0..splitting.len()).collect();
order.sort_by(|&a, &b| {
contributions[b]
.partial_cmp(&contributions[a])
.unwrap_or(std::cmp::Ordering::Equal)
});
for k in order.into_iter().take(n - keep_indices.len()) {
keep_indices.push(splitting[k]);
}
}
// Materialize the next generation.
population = keep_indices
.into_iter()
.map(|i| combined[i].clone())
.collect();
}
let front = pareto_front(&population, &objectives);
let best = best_candidate(&population, &objectives);
OptimizationResult::new(
Population::new(population),
front,
best,
evaluations,
self.config.generations,
)
}
}
#[cfg(feature = "async")]
impl<I, V> Hype<I, V> {
/// Async version of [`Optimizer::run`] — drives evaluations through
/// the user-chosen async runtime. Available only with the `async`
/// feature.
///
/// `concurrency` bounds in-flight evaluations per batch.
pub async fn run_async<P>(
&mut self,
problem: &P,
concurrency: usize,
) -> OptimizationResult<P::Decision>
where
P: crate::core::async_problem::AsyncProblem,
I: Initializer<P::Decision>,
V: Variation<P::Decision>,
{
use crate::algorithms::parallel_eval_async::evaluate_batch_async;
assert!(
self.config.population_size > 0,
"Hype population_size must be > 0"
);
assert!(self.config.mc_samples > 0, "Hype mc_samples must be > 0");
let n = self.config.population_size;
let objectives = problem.objectives();
assert_eq!(
self.config.reference_point.len(),
objectives.len(),
"Hype reference_point.len() must equal number of objectives",
);
let reference = self.config.reference_point.clone();
let mut rng = rng_from_seed(self.config.seed);
let initial_decisions = self.initializer.initialize(n, &mut rng);
let mut population: Vec<Candidate<P::Decision>> =
evaluate_batch_async(problem, initial_decisions, concurrency).await;
let mut evaluations = population.len();
for _ in 0..self.config.generations {
let fitness = hype_fitness(
&population,
&objectives,
&reference,
self.config.mc_samples,
&mut rng,
);
let mut offspring_decisions: Vec<P::Decision> = Vec::with_capacity(n);
while offspring_decisions.len() < n {
let p1 = binary_tournament(&fitness, &mut rng);
let p2 = binary_tournament(&fitness, &mut rng);
let parents = vec![
population[p1].decision.clone(),
population[p2].decision.clone(),
];
let children = self.variation.vary(&parents, &mut rng);
assert!(!children.is_empty(), "Hype variation returned no children");
for child in children {
if offspring_decisions.len() >= n {
break;
}
offspring_decisions.push(child);
}
}
let offspring = evaluate_batch_async(problem, offspring_decisions, concurrency).await;
evaluations += offspring.len();
let mut combined: Vec<Candidate<P::Decision>> = Vec::with_capacity(2 * n);
combined.extend(population);
combined.extend(offspring);
let fronts = non_dominated_sort(&combined, &objectives);
let mut keep_indices: Vec<usize> = Vec::with_capacity(n);
let mut splitting: &[usize] = &[];
for f in &fronts {
if keep_indices.len() + f.len() <= n {
keep_indices.extend(f.iter().copied());
} else {
splitting = f;
break;
}
if keep_indices.len() == n {
break;
}
}
if keep_indices.len() < n {
let pool: Vec<&Candidate<P::Decision>> =
splitting.iter().map(|&i| &combined[i]).collect();
let contributions = estimate_contributions(
&pool,
&objectives,
&reference,
self.config.mc_samples,
&mut rng,
);
let mut order: Vec<usize> = (0..splitting.len()).collect();
order.sort_by(|&a, &b| {
contributions[b]
.partial_cmp(&contributions[a])
.unwrap_or(std::cmp::Ordering::Equal)
});
for k in order.into_iter().take(n - keep_indices.len()) {
keep_indices.push(splitting[k]);
}
}
population = keep_indices
.into_iter()
.map(|i| combined[i].clone())
.collect();
}
let front = pareto_front(&population, &objectives);
let best = best_candidate(&population, &objectives);
OptimizationResult::new(
Population::new(population),
front,
best,
evaluations,
self.config.generations,
)
}
}
fn hype_fitness<D>(
pool: &[Candidate<D>],
objectives: &ObjectiveSpace,
reference: &[f64],
samples: usize,
rng: &mut Rng,
) -> Vec<f64> {
if pool.is_empty() {
return Vec::new();
}
let pool_refs: Vec<&Candidate<D>> = pool.iter().collect();
estimate_contributions(&pool_refs, objectives, reference, samples, rng)
}
/// Estimate each candidate's expected unique hypervolume contribution by
/// Monte Carlo sampling uniformly inside the [ideal, reference] box and
/// counting per-sample which candidates dominate it. A sample dominated
/// by exactly one candidate contributes 1/samples × box_volume to that
/// candidate; samples dominated by k candidates contribute proportionally
/// less, weighted by HypE's "weighted hypervolume" rule (1 / k).
fn estimate_contributions<D>(
pool: &[&Candidate<D>],
objectives: &ObjectiveSpace,
reference: &[f64],
samples: usize,
rng: &mut Rng,
) -> Vec<f64> {
let n = pool.len();
if n == 0 {
return Vec::new();
}
let m = reference.len();
// Cache minimization-oriented objective values.
let oriented: Vec<Vec<f64>> = pool
.iter()
.map(|c| objectives.as_minimization(&c.evaluation.objectives))
.collect();
// Compute the lower bound (ideal) of the integration box: per-axis min
// across the population, capped at the reference (so the box has
// non-negative width even if no point dominates the reference).
let mut lower = vec![f64::INFINITY; m];
for o in &oriented {
for (k, &v) in o.iter().enumerate() {
if v < lower[k] {
lower[k] = v;
}
}
}
for k in 0..m {
if !lower[k].is_finite() || lower[k] >= reference[k] {
// No point on this axis dominates the reference → zero
// contribution everywhere.
return vec![0.0; n];
}
}
let box_volume: f64 = (0..m).map(|k| reference[k] - lower[k]).product();
if box_volume <= 0.0 {
return vec![0.0; n];
}
let mut contrib = vec![0.0_f64; n];
let mut sample = vec![0.0_f64; m];
for _ in 0..samples {
for k in 0..m {
let u: f64 = rng.random();
sample[k] = lower[k] + u * (reference[k] - lower[k]);
}
// Count and identify candidates that dominate this sample (point
// in the box).
let mut dominators: Vec<usize> = Vec::with_capacity(n);
for (i, o) in oriented.iter().enumerate() {
if o.iter().zip(sample.iter()).all(|(p, s)| *p <= *s) {
dominators.push(i);
}
}
if dominators.is_empty() {
continue;
}
// HypE weighting: each sample contributes 1/k to each of its k
// dominators. (This generalizes "exactly-one dominator" to
// arbitrary multiplicities.)
let weight = 1.0 / dominators.len() as f64;
for i in dominators {
contrib[i] += weight;
}
}
let scale = box_volume / samples as f64;
contrib.into_iter().map(|c| c * scale).collect()
}
fn binary_tournament(fitness: &[f64], rng: &mut Rng) -> usize {
let a = rng.random_range(0..fitness.len());
let b = rng.random_range(0..fitness.len());
if fitness[a] > fitness[b] {
a
} else if fitness[a] < fitness[b] {
b
} else if rng.random_bool(0.5) {
a
} else {
b
}
}
impl<I, V> crate::traits::AlgorithmInfo for Hype<I, V> {
fn name(&self) -> &'static str {
"HypE"
}
fn full_name(&self) -> &'static str {
"Hypervolume Estimation Algorithm"
}
fn seed(&self) -> Option<u64> {
Some(self.config.seed)
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::operators::{
CompositeVariation, PolynomialMutation, RealBounds, SimulatedBinaryCrossover,
};
use crate::tests_support::SchafferN1;
fn make_optimizer(
seed: u64,
) -> Hype<RealBounds, CompositeVariation<SimulatedBinaryCrossover, PolynomialMutation>> {
let bounds = vec![(-5.0, 5.0)];
let initializer = RealBounds::new(bounds.clone());
let variation = CompositeVariation {
crossover: SimulatedBinaryCrossover::new(bounds.clone(), 15.0, 0.5),
mutation: PolynomialMutation::new(bounds, 20.0, 1.0),
};
Hype::new(
HypeConfig {
population_size: 20,
generations: 15,
reference_point: vec![30.0, 30.0],
mc_samples: 1_000,
seed,
},
initializer,
variation,
)
}
#[test]
fn produces_pareto_front() {
let mut opt = make_optimizer(1);
let r = opt.run(&SchafferN1);
assert_eq!(r.population.len(), 20);
assert!(!r.pareto_front.is_empty());
}
#[test]
fn deterministic_with_same_seed() {
let mut a = make_optimizer(99);
let mut b = make_optimizer(99);
let ra = a.run(&SchafferN1);
let rb = b.run(&SchafferN1);
let oa: Vec<Vec<f64>> = ra
.pareto_front
.iter()
.map(|c| c.evaluation.objectives.clone())
.collect();
let ob: Vec<Vec<f64>> = rb
.pareto_front
.iter()
.map(|c| c.evaluation.objectives.clone())
.collect();
assert_eq!(oa, ob);
}
#[test]
#[should_panic(expected = "reference_point.len() must equal number of objectives")]
fn dim_mismatch_panics() {
let bounds = vec![(0.0, 1.0)];
let initializer = RealBounds::new(bounds.clone());
let variation = CompositeVariation {
crossover: SimulatedBinaryCrossover::new(bounds.clone(), 15.0, 0.5),
mutation: PolynomialMutation::new(bounds, 20.0, 1.0),
};
let mut opt = Hype::new(
HypeConfig {
population_size: 4,
generations: 1,
reference_point: vec![1.0, 1.0, 1.0],
mc_samples: 100,
seed: 0,
},
initializer,
variation,
);
let _ = opt.run(&SchafferN1);
}
}