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"""
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()