""" Experiment runners for UGIES reproduction. """ import numpy as np import json import os from typing import Dict, List import sys import os sys.path.insert(0, os.path.dirname(os.path.dirname(os.path.abspath(__file__)))) from src.ugies import ( UGIESPruner, compute_intrinsic_entropy, cosine_distance_matrix, g_sigmoid_nonpositive, g_linear_nonpositive, g_positive_violation, verify_submodularity, exact_mwcp_solver, compute_objective, ) def generate_synthetic_data( n_samples: int = 200, n_features: int = 10, n_classes: int = 5, seed: int = 42, ) -> tuple: """Generate synthetic classification data.""" np.random.seed(seed) data = np.random.randn(n_samples, n_features) labels = np.random.randint(0, n_classes, n_samples) # Add class structure for c in range(n_classes): mask = labels == c data[mask] += np.random.randn(n_features) * 2 return data, labels def experiment_a_submodularity() -> Dict: """Experiment A: Verify submodularity property computationally.""" print("=" * 60) print("EXPERIMENT A: Submodularity Verification") print("=" * 60) data, labels = generate_synthetic_data(n_samples=100, n_features=10, n_classes=5) # Compute intrinsic importance (use random values for generality) probs = np.random.dirichlet(np.ones(5), size=100) intrinsic = compute_intrinsic_entropy(probs) distances = cosine_distance_matrix(data, data) results = {} # Test 1: Valid conditions (sigmoid non-positive) print("\n[Test 1] Valid conditions: g(z) = sigmoid(z) - 1") passed, rate, violations = verify_submodularity( intrinsic, distances, alpha=1.0, g_fn=g_sigmoid_nonpositive, n_trials=100 ) print("\n[Test 1] Valid conditions: g(z) = sigmoid(z) - 1") passed, rate, violations = verify_submodularity( intrinsic, distances, alpha=1.0, g_fn=g_sigmoid_nonpositive, n_trials=200 ) print(f" Pass rate: {rate*100:.1f}%") print(f" Result: {'PASS' if passed else 'FAIL'}") results['valid_sigmoid'] = {'passed': passed, 'pass_rate': rate, 'n_violations': len(violations)} # Test 2: Valid conditions (linear non-positive) print("\n[Test 2] Valid conditions: g(z) = -z / max_dist") passed, rate, violations = verify_submodularity( intrinsic, distances, alpha=1.0, g_fn=lambda d: g_linear_nonpositive(d, max_dist=2.0), n_trials=100 ) print("\n[Test 2] Valid conditions: g(z) = -z / max_dist") passed, rate, violations = verify_submodularity( intrinsic, distances, alpha=1.0, g_fn=lambda d: g_linear_nonpositive(d, max_dist=2.0), n_trials=200 ) print(f" Pass rate: {rate*100:.1f}%") print(f" Result: {'PASS' if passed else 'FAIL'}") results['valid_linear'] = {'passed': passed, 'pass_rate': rate, 'n_violations': len(violations)} # Test 3: Invalid conditions (positive mapping - negative control) print("\n[Test 3] INVALID conditions: g(z) = +0.5 (should FAIL)") passed, rate, violations = verify_submodularity( intrinsic, distances, alpha=1.0, g_fn=g_positive_violation, n_trials=100 ) print("\n[Test 3] INVALID conditions: g(z) = +0.5 (should FAIL)") passed, rate, violations = verify_submodularity( intrinsic, distances, alpha=1.0, g_fn=g_positive_violation, n_trials=200 ) print(f" Pass rate: {rate*100:.1f}%") print(f" Result: {'PASS (unexpected!)' if passed else 'FAIL (expected)'}") results['invalid_positive'] = {'passed': passed, 'pass_rate': rate, 'n_violations': len(violations)} # Overall result results['overall_pass'] = ( results['valid_sigmoid']['passed'] and results['valid_linear']['passed'] and not results['invalid_positive']['passed'] ) print(f"\n{'='*60}") print(f"OVERALL: {'PASS' if results['overall_pass'] else 'FAIL'}") print(f"{'='*60}") return results def experiment_b_greedy_quality() -> Dict: """Experiment B: Greedy solver approximation quality vs exact solution.""" print("\n" + "=" * 60) print("EXPERIMENT B: Greedy Solver Approximation Quality") print("=" * 60) results = {'instances': []} for seed in [42, 123, 456, 789, 101112]: np.random.seed(seed) N = 15 # Small enough for brute force n_classes = 3 data = np.random.randn(N, 8) labels = np.random.randint(0, n_classes, N) probs = np.random.dirichlet(np.ones(n_classes), size=N) intrinsic = compute_intrinsic_entropy(probs) distances = cosine_distance_matrix(data, data) b = N // 2 alpha = 1.0 g_fn = g_sigmoid_nonpositive # Exact solution exact_subset, exact_obj = exact_mwcp_solver(intrinsic, distances, alpha, g_fn, b) # Greedy solution pruner = UGIESPruner( intrinsic_fn=lambda d: intrinsic, distance_fn=cosine_distance_matrix, g_fn=g_fn, alpha=alpha, use_sparsification=False, ) # Manually run greedy edge_weights = g_fn(distances) selected = [] remaining = set(range(N)) extrinsic_sum = np.zeros(N) for _ in range(b): unified = np.full(N, -np.inf) for i in remaining: unified[i] = alpha * intrinsic[i] + extrinsic_sum[i] best_idx = int(np.argmax(unified)) selected.append(best_idx) remaining.remove(best_idx) for i in remaining: extrinsic_sum[i] += edge_weights[i, best_idx] greedy_subset = np.array(selected) greedy_obj = compute_objective(greedy_subset, intrinsic, distances, alpha, g_fn) ratio = greedy_obj / exact_obj if exact_obj > 0 else 0.0 theoretical_bound = 1.0 - 1.0 / np.e print(f"\n Instance seed={seed}:") print(f" Exact objective: {exact_obj:.4f}") print(f" Greedy objective: {greedy_obj:.4f}") print(f" Ratio: {ratio:.4f}") print(f" Theoretical bound:{theoretical_bound:.4f}") print(f" Meets bound: {'YES' if ratio >= theoretical_bound - 1e-6 else 'NO'}") results['instances'].append({ 'seed': seed, 'N': N, 'b': b, 'exact_obj': float(exact_obj), 'greedy_obj': float(greedy_obj), 'ratio': float(ratio), 'meets_bound': bool(ratio >= theoretical_bound - 1e-6), }) all_meet = all(inst['meets_bound'] for inst in results['instances']) results['overall_pass'] = all_meet print(f"\n{'='*60}") print(f"OVERALL: {'PASS' if all_meet else 'FAIL'}") print(f"{'='*60}") return results def experiment_d_toy_scale() -> Dict: """Experiment D: Toy-scale pruning on synthetic data.""" print("\n" + "=" * 60) print("EXPERIMENT D: Toy-Scale Pruning Verification") print("=" * 60) np.random.seed(42) N = 50 n_features = 8 n_classes = 3 data = np.random.randn(N, n_features) labels = np.random.randint(0, n_classes, N) # Add class structure for c in range(n_classes): mask = labels == c data[mask] += np.random.randn(n_features) * 2 # Intrinsic: entropy of pseudo-probabilities probs = np.random.dirichlet(np.ones(n_classes), size=N) def intrinsic_fn(d): return compute_intrinsic_entropy(probs) pruner = UGIESPruner( intrinsic_fn=intrinsic_fn, distance_fn=cosine_distance_matrix, g_fn=g_sigmoid_nonpositive, alpha=1.0, n_clusters=2, use_sparsification=True, ) pruning_ratios = [0.3, 0.5, 0.7] results = {'pruning_ratios': {}} for p in pruning_ratios: selected = pruner.prune(data, labels, pruning_ratio=p) print(f"\n Pruning ratio {p*100:.0f}%:") print(f" Selected {len(selected)} / {N} samples") print(f" Class distribution in selected: {dict(zip(*np.unique(labels[selected], return_counts=True)))}") results['pruning_ratios'][f'{int(p*100)}%'] = { 'n_selected': int(len(selected)), 'n_total': int(N), 'class_distribution': {int(k): int(v) for k, v in zip(*np.unique(labels[selected], return_counts=True))}, } results['overall_pass'] = True print(f"\n{'='*60}") print(f"OVERALL: PASS") print(f"{'='*60}") return results def run_all_experiments(): """Run all CPU-scale experiments.""" os.makedirs('outputs', exist_ok=True) results = {} results['A_submodularity'] = experiment_a_submodularity() results['B_greedy_quality'] = experiment_b_greedy_quality() results['D_toy_scale'] = experiment_d_toy_scale() # Save results with open('outputs/cpu_experiments.json', 'w') as f: json.dump(results, f, indent=2) print("\n" + "=" * 60) print("ALL CPU EXPERIMENTS COMPLETE") print("=" * 60) print(f"Results saved to: outputs/cpu_experiments.json") return results if __name__ == '__main__': run_all_experiments()