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# Copyright (C) 2026 SnapKitty Collective
# SPDX-License-Identifier: AGPL-3.0-or-later
"""Fidelity instrumentation + recursive fidelity search (F5).
The most important measured failure is 3/24 token agreement. This module
instruments EXACTLY where teacher/student behavior diverges:
* per-token divergence trace: position, teacher/student tokens,
teacher/student top-k, full logits, KL / JS divergence, cosine
similarity, entropies, per-layer hidden-state divergence and
per-layer attention divergence β all measured on teacher-forced
contexts so model divergence is isolated from context drift;
* first-divergence detection: the first position AND the first layer
producing significant representation drift (not just final tokens);
* recursive fidelity search: candidate transforms that save parameters
but cause behavioral divergence pay an explicit, measured cost:
utility = savings - recon_penalty - logit_penalty
- hidden_penalty - task_penalty
* ablations by component (embeddings, attention projections, MLP
up/down, norms, output head, quantization) reporting measured
evidence β never guesses β about where fidelity is lost.
The fidelity penalty applies UNIFORMLY to every decision class
(including QUANTUM-ENCODED, scored from its own measured reconstruction
error). Nothing here touches the quantum scoring to force a winner; the
experiment still decides.
"""
from __future__ import annotations
import math
from typing import Dict, List, Optional, Tuple
import numpy as np
from . import core as C
from .model import forward
# ---------------------------------------------------------------------------
# divergence metrics
# ---------------------------------------------------------------------------
def _softmax(x: np.ndarray) -> np.ndarray:
x = np.asarray(x, dtype=np.float64)
x = x - x.max(axis=-1, keepdims=True)
e = np.exp(x)
return e / e.sum(axis=-1, keepdims=True)
def _entropy(p: np.ndarray) -> float:
p = np.asarray(p, dtype=np.float64)
p = p / p.sum()
return float(-(p * np.log(p + 1e-300)).sum())
def kl_div(p_logits: np.ndarray, q_logits: np.ndarray) -> float:
"""KL(softmax(p) || softmax(q))."""
p, q = _softmax(p_logits), _softmax(q_logits)
return float((p * (np.log(p + 1e-300) - np.log(q + 1e-300))).sum())
def js_div(p_logits: np.ndarray, q_logits: np.ndarray) -> float:
"""Jensen-Shannon divergence between the two softmax distributions."""
p, q = _softmax(p_logits), _softmax(q_logits)
m = 0.5 * (p + q)
kl_pm = float((p * (np.log(p + 1e-300) - np.log(m + 1e-300))).sum())
kl_qm = float((q * (np.log(q + 1e-300) - np.log(m + 1e-300))).sum())
return 0.5 * (kl_pm + kl_qm)
def top_k(logits: np.ndarray, k: int = 5) -> List[Tuple[int, float]]:
p = _softmax(logits)
idx = np.argsort(p)[::-1][:k]
return [(int(i), float(p[i])) for i in idx]
# ---------------------------------------------------------------------------
# divergence trace
# ---------------------------------------------------------------------------
def divergence_trace(t_params: dict, t_cfg, s_params: dict, s_cfg,
prompt: List[int], max_tokens: int = 24,
top_k_k: int = 5) -> dict:
"""Per-token teacher/student divergence on teacher-forced contexts.
1. Teacher free-runs greedy -> reference token sequence.
2. Student free-runs greedy -> token agreement count (the 3/24 number).
3. At each position, BOTH models run on the teacher's prefix
(teacher-forcing), isolating model divergence from context drift.
Records per position: tokens, top-k, full logits, KL/JS/cosine,
entropies, per-layer hidden-state divergence (rel err + cosine of the
final hidden vectors) and per-layer attention divergence
(mean |P_student - P_teacher| over heads).
"""
prompt = list(prompt)
# --- free runs -------------------------------------------------------
t_toks, _, _ = _greedy(t_params, t_cfg, prompt, max_tokens)
s_toks, _, _ = _greedy(s_params, s_cfg, prompt, max_tokens)
agreement = sum(a == b for a, b in zip(t_toks, s_toks))
positions = []
n_align = min(s_cfg.layers, t_cfg.layers)
for i in range(len(t_toks)):
ctx = np.array([prompt + t_toks[:i]], dtype=np.int64)
tl, tc = forward(t_params, t_cfg, ctx[:, -t_cfg.seq:])
sl, sc = forward(s_params, s_cfg, ctx[:, -s_cfg.seq:])
t_log = tl[0, -1].astype(np.float64)
s_log = sl[0, -1].astype(np.float64)
pos = {
"position": i,
"teacher_token": int(t_toks[i]),
"student_token": int(s_toks[i]),
"match": bool(t_toks[i] == s_toks[i]),
"teacher_topk": top_k(t_log, top_k_k),
"student_topk": top_k(s_log, top_k_k),
"teacher_logits": [float(x) for x in t_log],
"student_logits": [float(x) for x in s_log],
"kl_div": kl_div(t_log, s_log),
"js_div": js_div(t_log, s_log),
"cosine_sim": C.cosine_sim(t_log, s_log),
"teacher_entropy": _entropy(_softmax(t_log)),
"student_entropy": _entropy(_softmax(s_log)),
"hidden_div": {},
"attn_div": {},
}
for l in range(n_align):
th = tc[f"L{l}"]["y"] if "y" in tc[f"L{l}"] else tc["f"]
sh = sc[f"L{l}"]["y"] if "y" in sc[f"L{l}"] else sc["f"]
# align: truncate/pad student hidden to teacher dim (measured)
sv = np.asarray(sh[0, -1], dtype=np.float64)
tv = np.asarray(th[0, -1], dtype=np.float64)
n = min(sv.size, tv.size)
pos["hidden_div"][f"layer_{l}"] = {
"rel_err": C.relative_error(tv[:n], sv[:n]),
"cosine_sim": C.cosine_sim(tv[:n], sv[:n]),
}
pt = tc[f"L{l}"]["P"][0].mean(axis=0) # (T,T) mean over heads
ps = sc[f"L{l}"]["P"][0].mean(axis=0)
nT = min(pt.shape[0], ps.shape[0])
pos["attn_div"][f"layer_{l}"] = float(
np.abs(pt[:nT, :nT] - ps[:nT, :nT]).mean())
positions.append(pos)
return {"prompt": prompt,
"teacher_tokens": [int(x) for x in t_toks],
"student_tokens": [int(x) for x in s_toks],
"token_agreement": f"{agreement}/{len(t_toks)}",
"agreement_count": agreement,
"n_tokens": len(t_toks),
"positions": positions}
def _greedy(params, cfg, prompt, max_tokens):
from .model import generate
return generate(params, cfg, list(prompt), max_tokens)
def first_divergence(trace: dict, *, kl_thresh: float = 0.5,
hidden_thresh: float = 0.35) -> dict:
"""Locate the FIRST divergence: earliest position where the student
token mismatches OR KL exceeds threshold; then the layer with the
largest hidden-state relative error at that position β the first
layer producing significant representation drift."""
for pos in trace["positions"]:
if (not pos["match"]) or pos["kl_div"] > kl_thresh:
hd = pos["hidden_div"]
worst_layer = max(hd.items(),
key=lambda kv: kv[1]["rel_err"])[0]
return {
"position": pos["position"],
"teacher_token": pos["teacher_token"],
"student_token": pos["student_token"],
"kl_div": pos["kl_div"],
"js_div": pos["js_div"],
"first_diverging_layer": worst_layer,
"layer_hidden_rel_err": hd[worst_layer]["rel_err"],
"layer_attn_div": pos["attn_div"].get(worst_layer),
"all_layer_hidden_rel_err": {
k: v["rel_err"] for k, v in hd.items()},
"above_hidden_thresh": {
k: v["rel_err"] for k, v in hd.items()
if v["rel_err"] > hidden_thresh},
}
return {"position": None, "note": "no divergence above thresholds"}
def render_trace(trace: dict, first: dict) -> List[str]:
lines = []
for pos in trace["positions"]:
mark = "PASS" if pos["match"] else "DIVERGED"
lines.append(
f"token {pos['position']:2d} {mark:8s} "
f"t={pos['teacher_token']:3d} s={pos['student_token']:3d} "
f"KL={pos['kl_div']:.3f} JS={pos['js_div']:.3f} "
f"cos={pos['cosine_sim']:.3f}")
if first.get("position") is not None:
lines.append(f"first divergence at position {first['position']}: "
f"layer {first['first_diverging_layer']} "
f"(hidden rel_err={first['layer_hidden_rel_err']:.3f})")
return lines
# ---------------------------------------------------------------------------
# ablations β measured evidence per component
# ---------------------------------------------------------------------------
def _align_to(src: np.ndarray, shape: tuple) -> np.ndarray:
out = np.zeros(shape, dtype=np.float32)
sl = tuple(slice(0, min(a, b)) for a, b in zip(src.shape, shape))
out[sl] = np.asarray(src)[sl]
return out
COMPONENTS = [
("embeddings", lambda k: k == "emb"),
("attention_projections",
lambda k: any(x in k for x in (".Wq", ".Wk", ".Wv", ".bq", ".bk", ".bv"))),
("attention_output",
lambda k: any(x in k for x in (".Wo", ".bo"))),
("mlp_up", lambda k: ".W1" in k or ".b1" in k),
("mlp_down", lambda k: ".W2" in k or ".b2" in k),
("normalization",
lambda k: any(x in k for x in ("ln1g", "ln1b", "ln2g", "ln2b",
"lnfg", "lnfb"))),
("output_head", lambda k: k in ("Whead", "bhead")),
]
def ablation_report(t_params: dict, t_cfg, s_params: dict, s_cfg,
prompts: List[List[int]], max_tokens: int = 16) -> dict:
"""For each component: replace the student's component with the
teacher's (shape-aligned), measure token-agreement and mean-KL delta
vs the unmodified student. Returns ranked evidence β the component
whose restoration helps most is where fidelity is being lost."""
base = _agreement_and_kl(t_params, t_cfg, s_params, s_cfg,
prompts, max_tokens)
rows = [{"component": "baseline(student)",
"agreement": base[0], "mean_kl": base[1], "delta_agree": 0,
"n_swapped": 0}]
for name, pred in COMPONENTS:
variant = dict(s_params)
n = 0
for k in list(variant.keys()):
if pred(k) and k in t_params:
variant[k] = _align_to(t_params[k], variant[k].shape)
n += 1
if n == 0:
continue
agree, mkl = _agreement_and_kl(t_params, t_cfg, variant, s_cfg,
prompts, max_tokens)
rows.append({"component": name, "agreement": agree, "mean_kl": mkl,
"delta_agree": agree - base[0],
"delta_kl": mkl - base[1], "n_swapped": n})
rows.sort(key=lambda r: -r["delta_agree"])
return {"baseline": {"agreement": base[0], "mean_kl": base[1]},
"ranking": rows}
def _agreement_and_kl(t_params, t_cfg, s_params, s_cfg, prompts, max_tokens):
agrees, kls, n = 0, [], 0
for pr in prompts:
tt, _, _ = _greedy(t_params, t_cfg, pr, max_tokens)
st, _, _ = _greedy(s_params, s_cfg, pr, max_tokens)
agrees += sum(a == b for a, b in zip(tt, st))
n += len(tt)
for i in range(len(tt)):
ctx = np.array([pr + tt[:i]], dtype=np.int64)
tl, _ = forward(t_params, t_cfg, ctx[:, -t_cfg.seq:])
sl, _ = forward(s_params, s_cfg, ctx[:, -s_cfg.seq:])
kls.append(kl_div(tl[0, -1], sl[0, -1]))
return agrees / max(1, n), float(np.mean(kls)) if kls else 0.0
# ---------------------------------------------------------------------------
# recursive fidelity search β utility with explicit divergence cost
# ---------------------------------------------------------------------------
def fidelity_penalty(sensitivity: float, reconstruction_error: float,
lam: float = 1.0) -> float:
"""Explicit cost for a candidate transform that saves parameters but
causes behavioral divergence. Applied uniformly to every decision
class from measured (sensitivity, reconstruction_error)."""
return float(lam * max(0.0, sensitivity) * max(0.0, reconstruction_error))
def fidelity_aware_select(leaves, budget_params: float,
sensitivity: Dict[str, float],
lam: float = 1.0) -> Dict[str, dict]:
"""Greedy knapsack identical in structure to core.select_plan, but each
option's effective energy is
effective = retained_energy - lam * sensitivity * recon_error
(clipped at 0). The penalty is computed from MEASURED sensitivity and
MEASURED reconstruction error for every option β quantum-gated options
included, from their own qsim-measured errors. No decision class is
favored or punished beyond what the measurements say.
"""
srt = []
for leaf in leaves:
sens = float(sensitivity.get(leaf.name, 0.5))
adj = []
for o in leaf.options:
pen = fidelity_penalty(sens, o["reconstruction_error"], lam)
eff = max(0.0, o["retained_energy"] - pen)
adj.append({**o, "effective_energy": eff,
"fidelity_penalty": pen})
adj.sort(key=lambda o: o["cost_params"])
srt.append(adj)
choice = [0] * len(srt)
total = sum(s[0]["cost_params"] for s in srt)
improved = True
while improved:
improved = False
best_gain, best_move = 0.0, None
for i, opts in enumerate(srt):
cur = choice[i]
for j in range(cur + 1, len(opts)):
dcost = opts[j]["cost_params"] - opts[cur]["cost_params"]
denergy = (opts[j]["effective_energy"]
- opts[cur]["effective_energy"])
if total + dcost <= budget_params and dcost > 0 and denergy > 0:
gain = denergy / dcost
if gain > best_gain:
best_gain, best_move = gain, (i, j, dcost)
if best_move:
i, j, dcost = best_move
choice[i] = j
total += dcost
improved = True
plan = {}
for i, leaf in enumerate(leaves):
plan[leaf.name] = srt[i][choice[i]]
plan["_total_cost_params"] = total
plan["_budget_params"] = float(budget_params)
plan["_fidelity_lambda"] = float(lam)
return plan
def utility_breakdown(savings_params: int, penalties: dict) -> dict:
"""utility = savings - recon - logit - hidden - task penalties.
All inputs measured; returns the itemized breakdown."""
u = (savings_params - penalties.get("reconstruction", 0.0)
- penalties.get("logit", 0.0) - penalties.get("hidden", 0.0)
- penalties.get("task", 0.0))
return {"utility": float(u), "savings_params": int(savings_params),
**{k: float(v) for k, v in penalties.items()}}
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