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# -*- coding: utf-8 -*-
"""
spectrum_steerer.py -- Spectrum-Guided Generation (Frontier 2)
==============================================================
Extends CoherenceSteerer with SHAPE-aware intervention. Instead of
triggering on scalar C_delta, monitors the Gini coefficient of the
full per-layer coherence profile at each token. When coherence
concentrates (high Gini = lock-in), applies multi-layer steering
to redistribute computation across layers.
Key insight from Frontier 5 analysis:
- Gini coefficient discriminates hallucination at AUC=0.685 (n=200)
- Scalar C_delta: AUC=0.640. Scalar K: AUC=0.550.
- Hallucinations CONCENTRATE coherence; correct responses DISTRIBUTE it.
- The shape carries the signal the mean destroys.
This is the first generation system that steers based on computational
geometry rather than likelihood or preference.
Patent pending: US 64/020,489 & 64/021,113
"""
import gc
import time
from dataclasses import dataclass, field
from typing import Optional, List, Tuple, Dict
import torch
import torch.nn.functional as F
import numpy as np
from coherence_steerer import CoherenceSteerer, GenerationResult
@dataclass
class SpectrumResult(GenerationResult):
"""Extended result with spectrum diagnostics."""
gini_trajectory: List[float] = field(default_factory=list)
spread_trajectory: List[float] = field(default_factory=list)
early_mass_trajectory: List[float] = field(default_factory=list)
spectrum_interventions: List[int] = field(default_factory=list)
steering_mode: str = "spectrum"
def _gini(vals):
"""Gini coefficient of a 1D array."""
s = np.sort(vals)
n = len(s)
t = s.sum()
if t == 0 or n == 0:
return 0.0
idx = np.arange(1, n + 1)
return (2 * (idx * s).sum()) / (n * t) - (n + 1) / n
def _spread(vals):
"""Spectral spread (std of distribution)."""
layers = np.arange(len(vals))
t = vals.sum()
if t == 0:
return 0.0
mu = (layers * vals).sum() / t
return float(np.sqrt(((layers - mu)**2 * vals).sum() / t))
def _early_mass(vals, n_early=9):
"""Fraction of total coherence in early layers."""
t = vals.sum()
if t == 0:
return 0.0
return float(vals[:n_early].sum() / t)
class SpectrumSteerer(CoherenceSteerer):
"""
Spectrum-guided generation engine.
Monitors the SHAPE of per-layer coherence at each token:
- Gini coefficient (concentration)
- Spectral spread (distribution width)
- Early-layer mass (grounding signal)
Steering triggers when Gini exceeds threshold, indicating
coherence concentration (lock-in). Intervention strategy:
1. Identify layers where coherence spikes above mean
2. At each spike layer, subtract the lock-in direction
3. Scale intervention by how far above threshold
This redistributes computation away from the dominant attractor
without destabilizing the generation.
"""
def __init__(
self,
model_name: str = "google/gemma-2-2b",
gini_threshold: float = 0.51, # from n=200: halluc mean = 0.501
c_delta_threshold: float = 0.010, # fallback scalar threshold
top_k_features: int = 100,
steering_strength: float = 0.8,
mode: str = "spectrum", # "spectrum", "c_delta", or "combined"
device: str = "cuda",
):
super().__init__(
model_name=model_name,
c_delta_threshold=c_delta_threshold,
top_k_features=top_k_features,
steering_strength=steering_strength,
device=device,
)
self.gini_threshold = gini_threshold
self.mode = mode
# For spectrum steering, we need ALL layers, not just early+late
self._all_layers = list(range(self._n_layers))
self._all_hook_names = {
l: f"blocks.{l}.hook_resid_post" for l in self._all_layers
}
# Update decoder weight cache for all layers
for i, tc in enumerate(self._tc_list):
if i not in self._dec_weights:
W_dec = getattr(tc, "W_dec", None)
if W_dec is not None:
self._dec_weights[i] = W_dec
print(f"[SpectrumSteerer] Mode: {mode}, Gini threshold: {gini_threshold}")
def _build_full_capture_hooks(self, hidden_states: dict) -> list:
"""Capture hidden states from ALL layers (not just early+late)."""
hooks = []
for l in self._all_layers:
name = self._all_hook_names[l]
def _hook(value, hook, _l=l):
hidden_states[_l] = value[0, -1].detach().clone()
return value
hooks.append((name, _hook))
return hooks
def _full_layer_coherence(self, hidden_states: dict) -> np.ndarray:
"""Compute coherence for all layers. Returns (n_layers,) array."""
profile = np.zeros(self._n_layers)
for layer_idx in range(self._n_layers):
hs = hidden_states.get(layer_idx)
if hs is None:
continue
c = self._fast_layer_coherence(hs, layer_idx)
if c is not None:
profile[layer_idx] = c
return profile
def _find_spike_layers(self, profile: np.ndarray, threshold_factor: float = 1.5) -> List[int]:
"""Find layers where coherence exceeds threshold_factor * mean."""
mean_c = profile[profile > 0].mean() if (profile > 0).any() else 0
if mean_c == 0:
return []
threshold = mean_c * threshold_factor
return [int(i) for i in range(len(profile)) if profile[i] > threshold]
def generate_spectrum(
self,
prompt: str,
max_tokens: int = 50,
steer: bool = True,
verbose: bool = False,
) -> SpectrumResult:
"""
Generate with spectrum-aware monitoring and optional steering.
At each token:
1. Forward pass capturing ALL layer hidden states
2. Compute full coherence spectrum + shape metrics
3. If Gini > threshold: multi-layer steering intervention
"""
inner = self._inner
if inner is None:
raise ValueError("Inner model not accessible")
tokens = inner.to_tokens(prompt)
generated_tokens = []
c_delta_trajectory = []
c_layer_trajectory = []
gini_trajectory = []
spread_trajectory = []
early_mass_trajectory = []
interventions = []
spectrum_interventions = []
monitor_time = 0.0
last_steer_step = -5
cooldown = 3
t_start = time.time()
for step in range(max_tokens):
# -- Step 1: full-layer forward pass --
hidden_states = {}
capture_hooks = self._build_full_capture_hooks(hidden_states)
t_monitor = time.time()
with torch.no_grad():
logits = inner.run_with_hooks(tokens, fwd_hooks=capture_hooks)
# -- Step 2: compute spectrum --
profile = self._full_layer_coherence(hidden_states)
gini = _gini(profile)
spread = _spread(profile)
em = _early_mass(profile)
# Also compute C_delta for comparison
c_delta, layer_c = self._fast_c_delta(hidden_states)
gini_trajectory.append(float(gini))
spread_trajectory.append(float(spread))
early_mass_trajectory.append(float(em))
c_delta_trajectory.append(c_delta)
c_layer_trajectory.append({k: v for k, v in layer_c.items() if v is not None})
monitor_time += time.time() - t_monitor
# -- Step 3: spectrum-guided intervention --
should_steer = False
if steer and step >= 3 and (step - last_steer_step) > cooldown:
if self.mode == "spectrum":
should_steer = gini > self.gini_threshold
elif self.mode == "c_delta":
should_steer = c_delta is not None and c_delta > self.c_delta_threshold
elif self.mode == "combined":
should_steer = (gini > self.gini_threshold or
(c_delta is not None and c_delta > self.c_delta_threshold))
if should_steer:
# Multi-layer steering: find spike layers and steer at each
spike_layers = self._find_spike_layers(profile)
if not spike_layers:
# Fallback: steer at peak coherence layer
spike_layers = [int(np.argmax(profile))]
# Scale strength by how far above threshold
excess = (gini - self.gini_threshold) / self.gini_threshold
adaptive_strength = self.steering_strength * (1.0 + excess)
# Build multi-layer steer hooks
steer_hooks = []
for sl in spike_layers:
if sl not in hidden_states:
continue
lock_dir = self._compute_lock_in_direction(hidden_states[sl], sl)
if lock_dir is None:
continue
hook_name = self._all_hook_names[sl]
_d = lock_dir.to(tokens.device)
_s = adaptive_strength
def _steer(value, hook, _d=_d, _s=_s):
h = value[0, -1].float()
proj = (h @ _d)
value[0, -1] = (h - _s * proj * _d).to(value.dtype)
return value
steer_hooks.append((hook_name, _steer))
if steer_hooks:
with torch.no_grad():
logits = inner.run_with_hooks(tokens, fwd_hooks=steer_hooks)
spectrum_interventions.append(step)
last_steer_step = step
if verbose:
old_id = logits[0, -1].argmax().item()
print(f" [SPECTRUM-STEER] step {step} gini={gini:.3f} "
f"spike_layers={spike_layers} strength={adaptive_strength:.2f}")
# -- Step 4: decode --
next_id = logits[0, -1].argmax().item()
next_str = inner.tokenizer.decode([next_id])
if next_id == inner.tokenizer.eos_token_id:
break
generated_tokens.append(next_str)
tokens = torch.cat([tokens, torch.tensor([[next_id]], device=tokens.device)], dim=1)
elapsed = time.time() - t_start
text = "".join(generated_tokens)
overhead_pct = (monitor_time / max(elapsed, 0.001)) * 100
return SpectrumResult(
prompt=prompt,
text=text,
tokens=generated_tokens,
c_delta_trajectory=c_delta_trajectory,
c_per_layer_trajectory=c_layer_trajectory,
interventions=spectrum_interventions,
intervention_count=len(spectrum_interventions),
total_tokens=len(generated_tokens),
generation_time_s=elapsed,
monitor_overhead_s=monitor_time,
overhead_pct=overhead_pct,
gini_trajectory=gini_trajectory,
spread_trajectory=spread_trajectory,
early_mass_trajectory=early_mass_trajectory,
spectrum_interventions=spectrum_interventions,
steering_mode=self.mode,
)
def compare_modes(
self,
prompt: str,
max_tokens: int = 50,
) -> dict:
"""
Run the same prompt through unsteered, C_delta-steered, and
spectrum-steered generation. Returns comparison dict.
"""
print(f"\n{'='*70}")
print(f"SPECTRUM STEERER -- MODE COMPARISON")
print(f"{'='*70}")
safe_prompt = prompt.encode('ascii', 'replace').decode()
print(f"Prompt: {safe_prompt}")
# Unsteered
print("\n[1/3] Unsteered (monitor only)...")
r_base = self.generate_spectrum(prompt, max_tokens, steer=False)
# C_delta steered (legacy)
print("[2/3] C_delta-steered (legacy)...")
old_mode = self.mode
self.mode = "c_delta"
r_cdelta = self.generate_spectrum(prompt, max_tokens, steer=True, verbose=True)
# Spectrum steered (new)
print("[3/3] Spectrum-steered (new)...")
self.mode = "spectrum"
r_spectrum = self.generate_spectrum(prompt, max_tokens, steer=True, verbose=True)
self.mode = old_mode
# Report
print(f"\n{'='*70}")
print("RESULTS:")
print(f" Unsteered: {r_base.text.encode('ascii','replace').decode()[:100]}")
print(f" C_delta: {r_cdelta.text.encode('ascii','replace').decode()[:100]}")
print(f" Spectrum: {r_spectrum.text.encode('ascii','replace').decode()[:100]}")
print(f"\n Interventions: base={r_base.intervention_count}, "
f"c_delta={r_cdelta.intervention_count}, "
f"spectrum={r_spectrum.intervention_count}")
# Gini statistics
if r_base.gini_trajectory:
print(f"\n Gini (unsteered): mean={np.mean(r_base.gini_trajectory):.3f}, "
f"max={max(r_base.gini_trajectory):.3f}")
if r_spectrum.gini_trajectory:
print(f" Gini (spectrum): mean={np.mean(r_spectrum.gini_trajectory):.3f}, "
f"max={max(r_spectrum.gini_trajectory):.3f}")
print(f"\n Overhead: base={r_base.overhead_pct:.1f}%, "
f"c_delta={r_cdelta.overhead_pct:.1f}%, "
f"spectrum={r_spectrum.overhead_pct:.1f}%")
return {
"prompt": prompt,
"unsteered": r_base,
"c_delta_steered": r_cdelta,
"spectrum_steered": r_spectrum,
}
def demo(self, prompt: str = "The president of Australia is", max_tokens: int = 30):
"""Quick spectrum demo with live Gini readout."""
print(f"\n{'='*70}")
print(f"FATHOM SPECTRUM MONITOR -- LIVE")
print(f"{'='*70}")
print(f"Prompt: {prompt}")
print(f"Mode: {self.mode}, Gini threshold: {self.gini_threshold}")
print(f"{'='*70}\n")
result = self.generate_spectrum(prompt, max_tokens, steer=True, verbose=True)
safe_text = result.text.encode('ascii', 'replace').decode()
print(f"\nGenerated: {safe_text}")
print(f"\nPer-token spectrum:")
for i, tok in enumerate(result.tokens):
safe_tok = tok.encode('ascii', 'replace').decode()
g = result.gini_trajectory[i] if i < len(result.gini_trajectory) else 0
s = result.spread_trajectory[i] if i < len(result.spread_trajectory) else 0
em = result.early_mass_trajectory[i] if i < len(result.early_mass_trajectory) else 0
flag = " << STEER" if i in result.spectrum_interventions else ""
warn = " !! HIGH GINI" if g > self.gini_threshold else ""
print(f" [{i:2d}] '{safe_tok:15s}' gini={g:.3f} spread={s:.2f} "
f"early_mass={em:.3f}{warn}{flag}")
print(f"\nStats:")
print(f" tokens: {result.total_tokens}")
print(f" interventions: {result.intervention_count}")
print(f" generation time: {result.generation_time_s:.2f}s")
print(f" monitor overhead: {result.overhead_pct:.1f}%")
return result
# -- evaluation runner --
def run_truthfulqa_eval(steerer, n_items=20, seed=42):
"""
Run spectrum-steered vs unsteered on TruthfulQA prompts.
Measures whether steering reduces hallucination signatures.
"""
import json
data_path = Path(__file__).parent / "truthfulqa_results" / "truthfulqa_n200_seed42.json"
if not data_path.exists():
print(f"TruthfulQA data not found at {data_path}")
return None
with open(data_path, encoding="utf-8") as f:
data = json.load(f)
rng = np.random.RandomState(seed)
indices = rng.choice(len(data["items"]), size=min(n_items, len(data["items"])), replace=False)
results = []
for idx in indices:
item = data["items"][idx]
q = item["question"]
prompt = f"Q: {q}\nA:"
# Unsteered
r_base = steerer.generate_spectrum(prompt, max_tokens=30, steer=False)
# Spectrum-steered
r_steer = steerer.generate_spectrum(prompt, max_tokens=30, steer=True)
results.append({
"question": q,
"base_text": r_base.text,
"steer_text": r_steer.text,
"base_gini_mean": float(np.mean(r_base.gini_trajectory)) if r_base.gini_trajectory else 0,
"steer_gini_mean": float(np.mean(r_steer.gini_trajectory)) if r_steer.gini_trajectory else 0,
"base_gini_max": float(max(r_base.gini_trajectory)) if r_base.gini_trajectory else 0,
"steer_gini_max": float(max(r_steer.gini_trajectory)) if r_steer.gini_trajectory else 0,
"interventions": r_steer.intervention_count,
})
safe_q = q[:50].encode('ascii', 'replace').decode()
print(f" [{len(results):2d}] {safe_q}...")
print(f" base gini={results[-1]['base_gini_mean']:.3f}, "
f"steer gini={results[-1]['steer_gini_mean']:.3f}, "
f"interventions={results[-1]['interventions']}")
# Summary
base_ginis = [r["base_gini_mean"] for r in results]
steer_ginis = [r["steer_gini_mean"] for r in results]
print(f"\n{'='*60}")
print(f"EVALUATION SUMMARY (n={len(results)})")
print(f" Base mean Gini: {np.mean(base_ginis):.4f}")
print(f" Steered mean Gini: {np.mean(steer_ginis):.4f}")
print(f" Gini reduction: {np.mean(base_ginis) - np.mean(steer_ginis):+.4f}")
total_interventions = sum(r["interventions"] for r in results)
print(f" Total interventions: {total_interventions}")
print(f"{'='*60}")
return results
from pathlib import Path
if __name__ == "__main__":
import sys
steerer = SpectrumSteerer(
model_name="google/gemma-2-2b",
gini_threshold=0.51,
steering_strength=0.8,
mode="spectrum",
)
if len(sys.argv) > 1 and sys.argv[1] == "--eval":
n = int(sys.argv[2]) if len(sys.argv) > 2 else 20
results = run_truthfulqa_eval(steerer, n_items=n)
elif len(sys.argv) > 1 and sys.argv[1] == "--compare":
prompt = " ".join(sys.argv[2:]) if len(sys.argv) > 2 else "The president of Australia is"
steerer.compare_modes(prompt)
else:
# Default: demo with a hallucination-prone prompt
steerer.demo("The president of Australia is", max_tokens=25)
print()
steerer.demo("Eating watermelon seeds will", max_tokens=25)
print()
steerer.compare_modes("The Great Wall of China is visible from space because")