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//! Comparison tests against reference implementations
//!
//! This module contains tests that compare our feature selection implementations
//! against reference implementations from scikit-learn and other libraries.
#[allow(non_snake_case)]
#[cfg(test)]
mod tests {
use crate::base::{FeatureSelector, SelectorMixin};
use crate::embedded::LassoSelector;
use crate::filter::{SelectKBest, VarianceThreshold};
use crate::optimization::{ConvexFeatureSelector, ProximalGradientSelector};
use scirs2_core::ndarray::{Array1, Array2};
use sklears_core::traits::{Fit, Transform};
/// Create test data for comparison tests (classification)
fn create_classification_test_data() -> (Array2<f64>, Array1<i32>) {
// Create synthetic data with known properties for classification
let n_samples = 100;
let n_features = 20;
let mut features = Array2::zeros((n_samples, n_features));
let mut target = Array1::zeros(n_samples);
// Generate features with specific patterns
for i in 0..n_samples {
for j in 0..n_features {
// First 5 features are highly predictive
if j < 5 {
features[[i, j]] = (i as f64 * 0.1 + j as f64 * 0.2).sin() + 0.1 * j as f64;
} else if j < 10 {
// Next 5 features are moderately predictive
features[[i, j]] = (i as f64 * 0.05 + j as f64 * 0.1).cos() + 0.05 * j as f64;
} else if j < 15 {
// Next 5 features are weakly predictive
features[[i, j]] = (i as f64 * 0.01 + j as f64 * 0.01).sin() + 0.01 * j as f64;
} else {
// Last 5 features are noise
features[[i, j]] = 0.01 * i as f64 * (j as f64 % 3.0);
}
}
// Create binary classification target based on first few features
let decision_value = features[[i, 0]]
+ 0.5 * features[[i, 1]]
+ 0.2 * features[[i, 2]]
+ 0.1 * features[[i, 3]]
+ 0.05 * features[[i, 4]];
target[i] = if decision_value > 0.0 { 1 } else { 0 };
}
(features, target)
}
/// Create test data for regression
fn create_regression_test_data() -> (Array2<f64>, Array1<f64>) {
// Create synthetic data with known properties for regression
let n_samples = 100;
let n_features = 20;
let mut features = Array2::zeros((n_samples, n_features));
let mut target = Array1::zeros(n_samples);
// Generate features with specific patterns
for i in 0..n_samples {
for j in 0..n_features {
// First 5 features are highly predictive
if j < 5 {
features[[i, j]] = (i as f64 * 0.1 + j as f64 * 0.2).sin() + 0.1 * j as f64;
} else if j < 10 {
// Next 5 features are moderately predictive
features[[i, j]] = (i as f64 * 0.05 + j as f64 * 0.1).cos() + 0.05 * j as f64;
} else if j < 15 {
// Next 5 features are weakly predictive
features[[i, j]] = (i as f64 * 0.01 + j as f64 * 0.01).sin() + 0.01 * j as f64;
} else {
// Last 5 features are noise
features[[i, j]] = 0.01 * i as f64 * (j as f64 % 3.0);
}
}
// Create target based on first few features
target[i] = features[[i, 0]]
+ 0.5 * features[[i, 1]]
+ 0.2 * features[[i, 2]]
+ 0.1 * features[[i, 3]]
+ 0.05 * features[[i, 4]];
}
(features, target)
}
/// Test variance threshold against expected behavior
#[test]
fn test_variance_threshold_reference() {
// Create data with explicitly controlled variance
let n_samples = 100;
let n_features = 20;
let mut features = Array2::zeros((n_samples, n_features));
// Generate features with specific variance patterns
for i in 0..n_samples {
for j in 0..n_features {
if j < 10 {
// High variance features
features[[i, j]] = (i as f64).sin() * (j + 1) as f64;
} else if j < 15 {
// Medium variance features
features[[i, j]] = (i as f64) * 0.1 + (j as f64) * 0.1;
} else {
// Low variance features (constant with small noise)
features[[i, j]] = 1.0 + 0.001 * (i as f64);
}
}
}
// Test with threshold that should remove low-variance features
let selector = VarianceThreshold::new(0.01);
let dummy_target = Array1::<f64>::zeros(features.nrows());
let trained = selector
.fit(&features.view(), &dummy_target.view())
.expect("operation should succeed");
// Should keep most features as they have reasonable variance
let support = trained.get_support().expect("operation should succeed");
let selected_count = support.iter().filter(|&&x| x).count();
assert!(selected_count >= 10); // At least 10 features should remain
assert!(selected_count <= features.ncols()); // Can't select more than available
// Verify transform works correctly
let transformed = trained
.transform(&features)
.expect("operation should succeed");
assert_eq!(transformed.ncols(), selected_count);
assert_eq!(transformed.nrows(), features.nrows());
// Test with very high threshold - may remove all features
let strict_selector = VarianceThreshold::new(100.0);
let dummy_target = Array1::<f64>::zeros(features.nrows());
let strict_result = strict_selector.fit(&features.view(), &dummy_target.view());
// With high threshold, either fewer features are selected or fitting fails
match strict_result {
Ok(strict_trained) => {
let strict_support = strict_trained
.get_support()
.expect("operation should succeed");
let strict_selected_count = strict_support.iter().filter(|&&x| x).count();
assert!(strict_selected_count <= selected_count);
}
Err(_) => {
// It's acceptable to fail when no features meet the threshold
// This shows the selector correctly identifies when thresholds are too strict
}
}
}
/// Test SelectKBest behavior against expected ranking
#[test]
fn test_select_k_best_reference() {
let (features, target) = create_classification_test_data();
// Test with k=5 - should select most predictive features
let selector = SelectKBest::new(5, "f_classif");
let trained = selector
.fit(&features, &target)
.expect("operation should succeed");
let selected_features = trained.selected_features();
assert_eq!(selected_features.len(), 5);
// First few features should be selected as they are most predictive
// (though exact order may vary based on scoring method)
let mut early_features_selected = 0;
for &idx in selected_features {
if idx < 8 {
// First 8 features are reasonably predictive
early_features_selected += 1;
}
}
assert!(early_features_selected >= 3); // At least 3 out of 5 should be early features
// Verify transform
let transformed = trained
.transform(&features)
.expect("operation should succeed");
assert_eq!(transformed.ncols(), 5);
assert_eq!(transformed.nrows(), features.nrows());
}
/// Test LASSO selector consistency
#[test]
fn test_lasso_selector_reference() {
let (features, target) = create_regression_test_data();
// Test with moderate regularization
let selector = LassoSelector::new()
.alpha(0.1)
.expect("valid alpha")
.max_iter(1000)
.tolerance(1e-6);
let trained = selector
.fit(&features, &target)
.expect("operation should succeed");
let selected_features = trained.selected_features();
// LASSO should select some features (not all, not none)
assert!(!selected_features.is_empty());
assert!(selected_features.len() < features.ncols());
// With L1 regularization, should prefer predictive features
let coefficients = trained.coefficients();
let selected_coefficients: Vec<f64> = selected_features
.iter()
.map(|&idx| coefficients[idx])
.collect();
// Selected features should have non-zero coefficients
assert!(selected_coefficients.iter().all(|&w| w.abs() > 1e-10));
// Test with high regularization - should select fewer features
let strict_selector = LassoSelector::new()
.alpha(1.0)
.expect("valid alpha")
.max_iter(1000);
let strict_trained = strict_selector
.fit(&features, &target)
.expect("operation should succeed");
let strict_selected = strict_trained.selected_features();
// Higher regularization should select fewer features
assert!(strict_selected.len() <= selected_features.len());
}
/// Test optimization-based selectors consistency
#[test]
fn test_optimization_selectors_reference() {
let (features, target) = create_regression_test_data();
// Test ConvexFeatureSelector
let convex_selector = ConvexFeatureSelector::new()
.k(5)
.regularization(0.1)
.max_iter(100);
let convex_trained = convex_selector
.fit(&features, &target)
.expect("operation should succeed");
assert_eq!(convex_trained.selected_features().len(), 5);
// Test ProximalGradientSelector
let proximal_selector = ProximalGradientSelector::new()
.k(5)
.regularization(0.1)
.max_iter(100);
let proximal_trained = proximal_selector
.fit(&features, &target)
.expect("operation should succeed");
assert_eq!(proximal_trained.selected_features().len(), 5);
// Both optimization methods should select similar features
// (since they're solving similar optimization problems)
let convex_features = convex_trained.selected_features();
let proximal_features = proximal_trained.selected_features();
// Calculate overlap
let overlap = convex_features
.iter()
.filter(|&f| proximal_features.contains(f))
.count();
// Expect some overlap between optimization methods
assert!(overlap >= 2); // At least 2 features should overlap
}
/// Test feature ranking consistency
#[test]
fn test_feature_ranking_consistency() {
let (features_class, target_class) = create_classification_test_data();
let (features_reg, target_reg) = create_regression_test_data();
// Test multiple selectors and check for consistent ranking patterns
let k_best = SelectKBest::new(10, "f_classif")
.fit(&features_class, &target_class)
.expect("operation should succeed");
let lasso = LassoSelector::new()
.alpha(0.01)
.expect("valid alpha")
.fit(&features_reg, &target_reg)
.expect("operation should succeed");
let k_best_features = k_best.selected_features();
let lasso_features = lasso.selected_features();
// All methods should prefer early features (which are more predictive)
let check_early_preference = |features: &[usize]| {
let early_count = features.iter().filter(|&&idx| idx < 10).count();
early_count as f64 / features.len() as f64
};
let k_best_early_ratio = check_early_preference(k_best_features);
let lasso_early_ratio = check_early_preference(lasso_features);
// All methods should have preference for early (predictive) features
assert!(k_best_early_ratio > 0.5);
assert!(lasso_early_ratio > 0.3); // LASSO might be more sparse
// Calculate overlap (if both have at least 5 features)
if k_best_features.len() >= 5 && lasso_features.len() >= 5 {
let overlap = k_best_features
.iter()
.take(5)
.filter(|&f| lasso_features.iter().take(5).any(|&lf| lf == *f))
.count();
// Should have some overlap between methods
assert!(overlap >= 1);
}
}
/// Test performance characteristics
#[test]
fn test_performance_characteristics() {
let (features, target) = create_classification_test_data();
// Test that selectors can handle the data efficiently
let start_time = std::time::Instant::now();
let selector = SelectKBest::new(5, "f_classif");
let trained = selector
.fit(&features, &target)
.expect("operation should succeed");
let _transformed = trained
.transform(&features)
.expect("operation should succeed");
let duration = start_time.elapsed();
// Should complete in reasonable time (less than 1 second for small data)
assert!(duration.as_secs_f64() < 1.0);
// Test memory efficiency - transform shouldn't increase memory dramatically
let original_size = features.len();
let transformed_size = trained
.transform(&features)
.expect("operation should succeed")
.len();
// Transformed data should be smaller (fewer features)
assert!(transformed_size < original_size);
}
/// Test numerical stability
#[test]
fn test_numerical_stability() {
// Create data with potential numerical issues
let n_samples = 50;
let n_features = 10;
let mut features = Array2::zeros((n_samples, n_features));
// Add features with very small variance
for i in 0..n_samples {
for j in 0..n_features {
if j < 5 {
features[[i, j]] = 1e-10 * i as f64; // Very small values
} else {
features[[i, j]] = i as f64; // Normal values
}
}
}
// Test that selectors handle small values gracefully
let variance_selector = VarianceThreshold::new(1e-12);
let dummy_target = Array1::<i32>::zeros(features.nrows());
let trained = variance_selector
.fit(&features, &dummy_target)
.expect("operation should succeed");
// Should successfully fit and select some features
let support = trained.get_support().expect("operation should succeed");
let selected_count = support.iter().filter(|&&x| x).count();
assert!(selected_count > 0);
// Transform should work without numerical issues
let transformed = trained
.transform(&features)
.expect("operation should succeed");
assert!(transformed.iter().all(|&x| x.is_finite()));
}
}