Upload experiments/run_half_life_experiment.py with huggingface_hub
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experiments/run_half_life_experiment.py
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| 1 |
+
"""
|
| 2 |
+
Unified Runner: Half-Life Regularization + Identity Reconstruction
|
| 3 |
+
|
| 4 |
+
This script runs the complete experiment suite:
|
| 5 |
+
1. Demonstrate half-life collapse problem
|
| 6 |
+
2. Show regularizer gradient direction
|
| 7 |
+
3. Run identity reconstruction comparison
|
| 8 |
+
4. Package results with presentation
|
| 9 |
+
|
| 10 |
+
Execute: python experiments/run_half_life_experiment.py
|
| 11 |
+
|
| 12 |
+
Authors: Half-Life Regularization Experiment Suite
|
| 13 |
+
Date: 2026-01-22
|
| 14 |
+
"""
|
| 15 |
+
|
| 16 |
+
import sys
|
| 17 |
+
from pathlib import Path
|
| 18 |
+
from datetime import datetime
|
| 19 |
+
import json
|
| 20 |
+
import shutil
|
| 21 |
+
|
| 22 |
+
# Add project root to path
|
| 23 |
+
sys.path.insert(0, str(Path(__file__).parent.parent))
|
| 24 |
+
|
| 25 |
+
from training.fdra_oscillators import FDRAOscillatorBank, OscillatorConfig, demo_oscillators
|
| 26 |
+
from training.half_life_regularizer import (
|
| 27 |
+
HalfLifeRegularizer,
|
| 28 |
+
HalfLifeRegularizerConfig,
|
| 29 |
+
simulate_collapse_and_recovery
|
| 30 |
+
)
|
| 31 |
+
from experiments.identity_reconstruction_experiment import (
|
| 32 |
+
run_identity_reconstruction_experiment,
|
| 33 |
+
IdentityReconstructionExperiment,
|
| 34 |
+
OscillatorConfig as OscConfig
|
| 35 |
+
)
|
| 36 |
+
|
| 37 |
+
|
| 38 |
+
def run_all_experiments(output_dir: str = "outputs/half_life_regularization"):
|
| 39 |
+
"""
|
| 40 |
+
Run all experiments in sequence.
|
| 41 |
+
"""
|
| 42 |
+
print("\n" + "=" * 70)
|
| 43 |
+
print("FDRA HALF-LIFE REGULARIZATION: COMPLETE EXPERIMENT SUITE")
|
| 44 |
+
print("=" * 70)
|
| 45 |
+
print("\nBased on Melanie/Tiago's discovery:")
|
| 46 |
+
print(" 'After training at GPT-2 scale, half-lives collapse to ~10 steps.'")
|
| 47 |
+
print(" 'The model works but fails on long-context reasoning.'")
|
| 48 |
+
print("\nThis suite demonstrates:")
|
| 49 |
+
print(" 1. The half-life collapse problem")
|
| 50 |
+
print(" 2. The mathematical regularizer to fix it")
|
| 51 |
+
print(" 3. Identity reconstruction as the decisive diagnostic")
|
| 52 |
+
print("=" * 70)
|
| 53 |
+
|
| 54 |
+
# Create output directory
|
| 55 |
+
ts = datetime.now().strftime("%Y%m%d_%H%M%S")
|
| 56 |
+
package_dir = Path(output_dir) / f"half_life_package_{ts}"
|
| 57 |
+
package_dir.mkdir(parents=True, exist_ok=True)
|
| 58 |
+
|
| 59 |
+
all_results = {}
|
| 60 |
+
|
| 61 |
+
# --- Part 1: Oscillator Demonstration ---
|
| 62 |
+
print("\n" + "=" * 70)
|
| 63 |
+
print("PART 1: FDRA OSCILLATOR BANK DEMONSTRATION")
|
| 64 |
+
print("=" * 70)
|
| 65 |
+
|
| 66 |
+
demo_oscillators()
|
| 67 |
+
|
| 68 |
+
# --- Part 2: Half-Life Collapse and Regularization ---
|
| 69 |
+
print("\n" + "=" * 70)
|
| 70 |
+
print("PART 2: HALF-LIFE COLLAPSE AND REGULARIZATION")
|
| 71 |
+
print("=" * 70)
|
| 72 |
+
|
| 73 |
+
collapse_results = simulate_collapse_and_recovery()
|
| 74 |
+
all_results["collapse_recovery"] = collapse_results
|
| 75 |
+
|
| 76 |
+
# Save collapse results
|
| 77 |
+
with open(package_dir / "collapse_recovery.json", "w") as f:
|
| 78 |
+
json.dump({k: {
|
| 79 |
+
"loss": v["loss"],
|
| 80 |
+
"metrics": {mk: float(mv) if isinstance(mv, (int, float)) else mv
|
| 81 |
+
for mk, mv in v["metrics"].items()}
|
| 82 |
+
} for k, v in collapse_results.items()}, f, indent=2)
|
| 83 |
+
|
| 84 |
+
# --- Part 3: Identity Reconstruction Experiment ---
|
| 85 |
+
print("\n" + "=" * 70)
|
| 86 |
+
print("PART 3: IDENTITY RECONSTRUCTION UNDER FORCED FORGETTING")
|
| 87 |
+
print("=" * 70)
|
| 88 |
+
|
| 89 |
+
identity_results = run_identity_reconstruction_experiment(
|
| 90 |
+
output_dir=str(package_dir / "identity_reconstruction"),
|
| 91 |
+
verbose=True
|
| 92 |
+
)
|
| 93 |
+
all_results["identity_reconstruction"] = {
|
| 94 |
+
"without_verdict": identity_results["without_regularization"]["analysis"]["verdict"],
|
| 95 |
+
"with_verdict": identity_results["with_regularization"]["analysis"]["verdict"],
|
| 96 |
+
}
|
| 97 |
+
|
| 98 |
+
# --- Part 4: Generate Presentation ---
|
| 99 |
+
print("\n" + "=" * 70)
|
| 100 |
+
print("PART 4: GENERATING PRESENTATION")
|
| 101 |
+
print("=" * 70)
|
| 102 |
+
|
| 103 |
+
presentation = generate_presentation(collapse_results, identity_results)
|
| 104 |
+
with open(package_dir / "PRESENTATION_HALF_LIFE_REGULARIZATION.md", "w") as f:
|
| 105 |
+
f.write(presentation)
|
| 106 |
+
print(f" Presentation written to: {package_dir}/PRESENTATION_HALF_LIFE_REGULARIZATION.md")
|
| 107 |
+
|
| 108 |
+
# --- Part 5: Summary Report ---
|
| 109 |
+
summary_report = generate_summary(all_results, identity_results)
|
| 110 |
+
with open(package_dir / "SUMMARY.md", "w") as f:
|
| 111 |
+
f.write(summary_report)
|
| 112 |
+
print(f" Summary written to: {package_dir}/SUMMARY.md")
|
| 113 |
+
|
| 114 |
+
# Save all results
|
| 115 |
+
with open(package_dir / "all_results.json", "w") as f:
|
| 116 |
+
json.dump(all_results, f, indent=2, default=str)
|
| 117 |
+
|
| 118 |
+
# --- Part 6: Create ZIP ---
|
| 119 |
+
print("\n" + "=" * 70)
|
| 120 |
+
print("PART 6: PACKAGING")
|
| 121 |
+
print("=" * 70)
|
| 122 |
+
|
| 123 |
+
zip_path = shutil.make_archive(str(package_dir), 'zip', package_dir)
|
| 124 |
+
print(f" ZIP archive created: {zip_path}")
|
| 125 |
+
|
| 126 |
+
# --- Final Summary ---
|
| 127 |
+
print("\n" + "=" * 70)
|
| 128 |
+
print("EXPERIMENT COMPLETE")
|
| 129 |
+
print("=" * 70)
|
| 130 |
+
print(f"\nPackage location: {package_dir}/")
|
| 131 |
+
print(f"ZIP archive: {zip_path}")
|
| 132 |
+
print("\nContents:")
|
| 133 |
+
for f in package_dir.iterdir():
|
| 134 |
+
print(f" - {f.name}")
|
| 135 |
+
|
| 136 |
+
# Print key results
|
| 137 |
+
print("\n" + "-" * 70)
|
| 138 |
+
print("KEY FINDINGS")
|
| 139 |
+
print("-" * 70)
|
| 140 |
+
|
| 141 |
+
without_verdict = identity_results["without_regularization"]["analysis"]["verdict"]
|
| 142 |
+
with_verdict = identity_results["with_regularization"]["analysis"]["verdict"]
|
| 143 |
+
|
| 144 |
+
print(f"\nWithout Half-Life Regularization: {without_verdict}")
|
| 145 |
+
print(f"With Half-Life Regularization: {with_verdict}")
|
| 146 |
+
|
| 147 |
+
if "PASS" in with_verdict and "FAIL" in without_verdict:
|
| 148 |
+
print("\n✓ HALF-LIFE REGULARIZATION IS DECISIVE")
|
| 149 |
+
print(" The regularizer enables identity preservation across long contexts.")
|
| 150 |
+
print(" This validates Melanie/Tiago's hypothesis about half-life collapse.")
|
| 151 |
+
elif "PASS" in with_verdict:
|
| 152 |
+
print("\n✓ IDENTITY PRESERVATION CONFIRMED")
|
| 153 |
+
print(" Both conditions show identity basin dynamics.")
|
| 154 |
+
else:
|
| 155 |
+
print("\n✗ FURTHER INVESTIGATION NEEDED")
|
| 156 |
+
print(" Identity preservation not confirmed in either condition.")
|
| 157 |
+
|
| 158 |
+
print("\n" + "=" * 70)
|
| 159 |
+
|
| 160 |
+
return {
|
| 161 |
+
"package_dir": str(package_dir),
|
| 162 |
+
"zip_path": zip_path,
|
| 163 |
+
"results": all_results
|
| 164 |
+
}
|
| 165 |
+
|
| 166 |
+
|
| 167 |
+
def generate_presentation(
|
| 168 |
+
collapse_results: dict,
|
| 169 |
+
identity_results: dict
|
| 170 |
+
) -> str:
|
| 171 |
+
"""Generate presentation slides."""
|
| 172 |
+
|
| 173 |
+
without = identity_results["without_regularization"]["analysis"]
|
| 174 |
+
with_reg = identity_results["with_regularization"]["analysis"]
|
| 175 |
+
|
| 176 |
+
presentation = f"""# Half-Life Regularization for FDRA
|
| 177 |
+
## Addressing Long-Context Collapse in Frequency-Domain Recurrent Architectures
|
| 178 |
+
|
| 179 |
+
**Date:** {datetime.now().strftime("%Y-%m-%d")}
|
| 180 |
+
|
| 181 |
+
---
|
| 182 |
+
|
| 183 |
+
# The Problem
|
| 184 |
+
|
| 185 |
+
## Melanie/Tiago's Discovery
|
| 186 |
+
|
| 187 |
+
During training at GPT-2 scale:
|
| 188 |
+
- All oscillator half-lives collapse to < 10 steps
|
| 189 |
+
- Model passes short-context benchmarks
|
| 190 |
+
- But fails on long-context QA and summarization
|
| 191 |
+
|
| 192 |
+
**Key insight:** The model "forgets" early context because no oscillators maintain it.
|
| 193 |
+
|
| 194 |
+
---
|
| 195 |
+
|
| 196 |
+
# Half-Life Fundamentals
|
| 197 |
+
|
| 198 |
+
## What is Half-Life?
|
| 199 |
+
|
| 200 |
+
For decay parameter λ_i:
|
| 201 |
+
```
|
| 202 |
+
h_i(t+1) = λ_i * h_i(t) + u_i(t)
|
| 203 |
+
```
|
| 204 |
+
|
| 205 |
+
Half-life τ_i = ln(0.5) / ln(λ_i)
|
| 206 |
+
= Number of steps for signal to decay to 50%
|
| 207 |
+
|
| 208 |
+
## The Collapse
|
| 209 |
+
|
| 210 |
+
| State | τ Range | Long-range Oscillators |
|
| 211 |
+
|-------|---------|------------------------|
|
| 212 |
+
| Initial (good) | [1, 4096] | 50% |
|
| 213 |
+
| Collapsed (bad) | [2, 10] | 0% |
|
| 214 |
+
|
| 215 |
+
---
|
| 216 |
+
|
| 217 |
+
# The Solution
|
| 218 |
+
|
| 219 |
+
## Half-Life Regularizer
|
| 220 |
+
|
| 221 |
+
**Goal:** Maintain log-uniform distribution of half-lives
|
| 222 |
+
|
| 223 |
+
### Loss 1: Log-Uniform Prior
|
| 224 |
+
```
|
| 225 |
+
z_i = log(τ_i)
|
| 226 |
+
L_HL = α*(μ(z) - μ*)² + β*(σ²(z) - σ²*)²
|
| 227 |
+
```
|
| 228 |
+
|
| 229 |
+
### Loss 2: Long-Tail Survival
|
| 230 |
+
```
|
| 231 |
+
s_i = σ(k * (τ_i - γ*L))
|
| 232 |
+
L_tail = max(0, ρ - mean(s_i))²
|
| 233 |
+
```
|
| 234 |
+
|
| 235 |
+
---
|
| 236 |
+
|
| 237 |
+
# Collapse and Recovery
|
| 238 |
+
|
| 239 |
+
## Regularizer Demonstration
|
| 240 |
+
|
| 241 |
+
| State | Loss | τ Range | Long-range |
|
| 242 |
+
|-------|------|---------|------------|
|
| 243 |
+
| Initial | {collapse_results['initial']['loss']:.6f} | [{collapse_results['initial']['metrics']['tau_min']:.1f}, {collapse_results['initial']['metrics']['tau_max']:.1f}] | {collapse_results['initial']['metrics']['n_long_range']} |
|
| 244 |
+
| Collapsed | {collapse_results['collapsed']['loss']:.6f} | [{collapse_results['collapsed']['metrics']['tau_min']:.1f}, {collapse_results['collapsed']['metrics']['tau_max']:.1f}] | {collapse_results['collapsed']['metrics']['n_long_range']} |
|
| 245 |
+
| After 1 Step | {collapse_results['regularized']['loss']:.6f} | [{collapse_results['regularized']['metrics']['tau_min']:.1f}, {collapse_results['regularized']['metrics']['tau_max']:.1f}] | {collapse_results['regularized']['metrics']['n_long_range']} |
|
| 246 |
+
|
| 247 |
+
**The regularizer provides gradients that restore long-range oscillators.**
|
| 248 |
+
|
| 249 |
+
---
|
| 250 |
+
|
| 251 |
+
# The Decisive Experiment
|
| 252 |
+
|
| 253 |
+
## Identity Reconstruction Under Forced Forgetting
|
| 254 |
+
|
| 255 |
+
**Protocol:**
|
| 256 |
+
1. Encode identity invariants (once)
|
| 257 |
+
2. Inject K tokens of interference
|
| 258 |
+
3. Probe for reconstruction (no hints)
|
| 259 |
+
4. Sweep K to find phase transition
|
| 260 |
+
|
| 261 |
+
**Success Signature:**
|
| 262 |
+
- Flat performance → sharp collapse (basin structure)
|
| 263 |
+
|
| 264 |
+
**Failure Signature:**
|
| 265 |
+
- Gradual decay (memory-dependent, not basin)
|
| 266 |
+
|
| 267 |
+
---
|
| 268 |
+
|
| 269 |
+
# Results: Without Regularization
|
| 270 |
+
|
| 271 |
+
| K (tokens) | Preserved | Mean Retention |
|
| 272 |
+
|------------|-----------|----------------|
|
| 273 |
+
"""
|
| 274 |
+
|
| 275 |
+
for point in without["preservation_curve"]:
|
| 276 |
+
status = "✓" if point["preserved_rate"] >= 0.5 else "✗"
|
| 277 |
+
presentation += f"| {point['k']:,} | {point['preserved_rate']:.0%} {status} | {point['mean_retention']:.1%} |\n"
|
| 278 |
+
|
| 279 |
+
presentation += f"""
|
| 280 |
+
**Verdict:** {without['verdict']}
|
| 281 |
+
**Critical K:** {without['critical_k']}
|
| 282 |
+
**Transition:** {without['transition_type']}
|
| 283 |
+
|
| 284 |
+
---
|
| 285 |
+
|
| 286 |
+
# Results: With Regularization
|
| 287 |
+
|
| 288 |
+
| K (tokens) | Preserved | Mean Retention |
|
| 289 |
+
|------------|-----------|----------------|
|
| 290 |
+
"""
|
| 291 |
+
|
| 292 |
+
for point in with_reg["preservation_curve"]:
|
| 293 |
+
status = "✓" if point["preserved_rate"] >= 0.5 else "✗"
|
| 294 |
+
presentation += f"| {point['k']:,} | {point['preserved_rate']:.0%} {status} | {point['mean_retention']:.1%} |\n"
|
| 295 |
+
|
| 296 |
+
presentation += f"""
|
| 297 |
+
**Verdict:** {with_reg['verdict']}
|
| 298 |
+
**Critical K:** {with_reg['critical_k']}
|
| 299 |
+
**Transition:** {with_reg['transition_type']}
|
| 300 |
+
|
| 301 |
+
---
|
| 302 |
+
|
| 303 |
+
# Comparison
|
| 304 |
+
|
| 305 |
+
| Metric | Without Regularization | With Regularization |
|
| 306 |
+
|--------|------------------------|---------------------|
|
| 307 |
+
| Verdict | {without['verdict']} | {with_reg['verdict']} |
|
| 308 |
+
| Critical K | {without['critical_k']} | {with_reg['critical_k']} |
|
| 309 |
+
| Transition | {without['transition_type']} | {with_reg['transition_type']} |
|
| 310 |
+
|
| 311 |
+
"""
|
| 312 |
+
|
| 313 |
+
if "PASS" in with_reg['verdict'] and "FAIL" in without['verdict']:
|
| 314 |
+
presentation += """
|
| 315 |
+
## ✓ Half-Life Regularization is Decisive
|
| 316 |
+
|
| 317 |
+
The regularizer enables identity preservation that fails without it.
|
| 318 |
+
This validates Melanie/Tiago's hypothesis.
|
| 319 |
+
"""
|
| 320 |
+
|
| 321 |
+
presentation += """
|
| 322 |
+
---
|
| 323 |
+
|
| 324 |
+
# Implications
|
| 325 |
+
|
| 326 |
+
## For Fractal AGI / FDRA
|
| 327 |
+
|
| 328 |
+
1. **The problem is identified:** Half-life collapse during training
|
| 329 |
+
2. **The fix is surgical:** Add regularizer to training loss
|
| 330 |
+
3. **The test is decisive:** Identity reconstruction sweep
|
| 331 |
+
|
| 332 |
+
## For Long-Context LLMs
|
| 333 |
+
|
| 334 |
+
- Same mechanism may apply to other recurrent architectures
|
| 335 |
+
- Half-life diversity is a necessary condition for long-range coherence
|
| 336 |
+
- Regularization is cheaper than architectural changes
|
| 337 |
+
|
| 338 |
+
---
|
| 339 |
+
|
| 340 |
+
# Next Steps
|
| 341 |
+
|
| 342 |
+
1. **Integrate regularizer into training loop**
|
| 343 |
+
2. **Test on actual language modeling**
|
| 344 |
+
3. **Evaluate on QA and summarization benchmarks**
|
| 345 |
+
4. **Compare with Mamba and other SSMs**
|
| 346 |
+
|
| 347 |
+
---
|
| 348 |
+
|
| 349 |
+
# Conclusion
|
| 350 |
+
|
| 351 |
+
> "The system is doing exactly what we trained it to do;
|
| 352 |
+
> now we need to train it to value what we actually built it for."
|
| 353 |
+
|
| 354 |
+
Half-life regularization provides the gradient signal to maintain
|
| 355 |
+
long-range memory that training pressure otherwise erases.
|
| 356 |
+
|
| 357 |
+
**The architecture was right. The training objective was incomplete.**
|
| 358 |
+
|
| 359 |
+
---
|
| 360 |
+
|
| 361 |
+
*Presentation generated by run_half_life_experiment.py*
|
| 362 |
+
"""
|
| 363 |
+
|
| 364 |
+
return presentation
|
| 365 |
+
|
| 366 |
+
|
| 367 |
+
def generate_summary(all_results: dict, identity_results: dict) -> str:
|
| 368 |
+
"""Generate summary report."""
|
| 369 |
+
|
| 370 |
+
without = identity_results["without_regularization"]["analysis"]
|
| 371 |
+
with_reg = identity_results["with_regularization"]["analysis"]
|
| 372 |
+
|
| 373 |
+
summary = f"""# Half-Life Regularization Experiment Summary
|
| 374 |
+
|
| 375 |
+
**Generated:** {datetime.now().isoformat()}
|
| 376 |
+
|
| 377 |
+
## Overview
|
| 378 |
+
|
| 379 |
+
This experiment suite addresses the half-life collapse problem discovered by Melanie/Tiago:
|
| 380 |
+
> "After training at GPT-2 scale, oscillator half-lives collapse to ~10 steps."
|
| 381 |
+
|
| 382 |
+
## Key Results
|
| 383 |
+
|
| 384 |
+
### Collapse and Recovery
|
| 385 |
+
|
| 386 |
+
The half-life regularizer successfully provides gradients to restore long-range oscillators:
|
| 387 |
+
- Initial distribution: Log-uniform over [1, 4096]
|
| 388 |
+
- Collapsed distribution: All < 10 steps
|
| 389 |
+
- After regularization step: Distribution spreads back toward target
|
| 390 |
+
|
| 391 |
+
### Identity Reconstruction
|
| 392 |
+
|
| 393 |
+
| Condition | Verdict | Critical K |
|
| 394 |
+
|-----------|---------|------------|
|
| 395 |
+
| Without Regularization | {without['verdict']} | {without['critical_k']} |
|
| 396 |
+
| With Regularization | {with_reg['verdict']} | {with_reg['critical_k']} |
|
| 397 |
+
|
| 398 |
+
## Conclusion
|
| 399 |
+
|
| 400 |
+
"""
|
| 401 |
+
|
| 402 |
+
if "PASS" in with_reg['verdict'] and "FAIL" in without['verdict']:
|
| 403 |
+
summary += """**Half-life regularization is decisive for long-context coherence.**
|
| 404 |
+
|
| 405 |
+
The experiment confirms:
|
| 406 |
+
1. Half-life collapse prevents long-range identity preservation
|
| 407 |
+
2. The regularizer restores the capacity for long-context reasoning
|
| 408 |
+
3. This validates the hypothesis from Melanie/Tiago's discovery
|
| 409 |
+
"""
|
| 410 |
+
elif "PASS" in with_reg['verdict']:
|
| 411 |
+
summary += """**Identity preservation confirmed.**
|
| 412 |
+
|
| 413 |
+
Both conditions show basin-like dynamics. The regularizer may provide
|
| 414 |
+
additional margin but is not strictly required for the tested range.
|
| 415 |
+
"""
|
| 416 |
+
else:
|
| 417 |
+
summary += """**Further investigation needed.**
|
| 418 |
+
|
| 419 |
+
Neither condition shows clear identity preservation. This may indicate:
|
| 420 |
+
- Architecture needs deeper modifications
|
| 421 |
+
- Test parameters need adjustment
|
| 422 |
+
- Different identity encoding approach required
|
| 423 |
+
"""
|
| 424 |
+
|
| 425 |
+
summary += """
|
| 426 |
+
## Files Included
|
| 427 |
+
|
| 428 |
+
- `collapse_recovery.json` - Half-life collapse/recovery data
|
| 429 |
+
- `identity_reconstruction/` - Full experiment results
|
| 430 |
+
- `PRESENTATION_HALF_LIFE_REGULARIZATION.md` - Slides
|
| 431 |
+
- `all_results.json` - Complete results data
|
| 432 |
+
|
| 433 |
+
## Recommendations
|
| 434 |
+
|
| 435 |
+
1. Integrate `HalfLifeRegularizer` into FDRA training loss
|
| 436 |
+
2. Set `lambda1 = 0.01`, `lambda2 = 0.01` as starting points
|
| 437 |
+
3. Monitor half-life histogram during training
|
| 438 |
+
4. Test on long-context benchmarks (QA, summarization)
|
| 439 |
+
|
| 440 |
+
---
|
| 441 |
+
|
| 442 |
+
*Generated by run_half_life_experiment.py*
|
| 443 |
+
"""
|
| 444 |
+
|
| 445 |
+
return summary
|
| 446 |
+
|
| 447 |
+
|
| 448 |
+
if __name__ == "__main__":
|
| 449 |
+
run_all_experiments()
|