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"""
scale_experiment.py β Scale comparison: KAIZEN 42M vs GPT-2 117M.
Research question: does semantic structure recoverable by a linear head
from frozen LM hidden states improve with model scale?
Protocol (identical to Phase 7.0 / semantic_probe.py):
- Same 50 paraphrase pairs from probe_paraphrase.json
- Same 70/30 task-level split (35 train, 15 held-out)
- Same LinearHead architecture (d_modelβ128, InfoNCE)
- Same recall@1 metric on held-out tasks
Output:
- Raw recall@1 (no head) at each scale = lower bound
- Recall@1 learning curve across epochs [0,10,25,50,100,150,200,300]
- Final recall@1 = publishable single-number comparison
KAIZEN 42M: embed_task via canonical prompt [BOS,USER]+q+[ASST], mean-pool, 512-dim
GPT-2 117M: plain question text tokenized with GPT-2 BPE, mean-pool last hidden, 768-dim
"""
import json, random, sys, time
import torch
import torch.nn as nn
import torch.nn.functional as F
from tokenizers import Tokenizer
from transformers import GPT2Model, GPT2Tokenizer
from huggingface_hub import hf_hub_download
from lora import KaizenWithLoRA
from eval_benchmark import BENCHMARK_TASKS, build_prompt_ids, BLOCK_SIZE, MAX_GEN
from online_learner import HF_TOKEN, HF_TOK_REPO
# ββ Config ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def _get_default_ckpt():
from online_learner import HF_TOKEN
from huggingface_hub import hf_hub_download
return hf_hub_download('qoa/kaizen-42m', 'phase4_latest.pt', token=HF_TOKEN)
DEFAULT_CKPT = _get_default_ckpt()
PROBE_PATH = os.path.join(os.path.dirname(os.path.abspath(__file__)), 'probe_paraphrase.json')
SEED = 42
TRAIN_FRAC = 0.70
HEAD_DIM = 128
HEAD_LR = 1e-3
HEAD_TEMP = 0.07
CHECKPOINTS = [0, 10, 25, 50, 100, 150, 200, 300] # epochs at which to record recall@1
# ββ LinearHead + InfoNCE ββββββββββββββββββββββββββββββββββββββββββββββββββββββ
class LinearHead(nn.Module):
def __init__(self, d_in: int, d_out: int = HEAD_DIM):
super().__init__()
self.proj = nn.Linear(d_in, d_out, bias=True)
def forward(self, x: torch.Tensor) -> torch.Tensor:
return F.normalize(self.proj(x), dim=-1)
def infonce_loss(a: torch.Tensor, b: torch.Tensor,
temp: float = HEAD_TEMP) -> torch.Tensor:
"""Bidirectional InfoNCE on (anchor, positive) pairs. a, b: [B, D]."""
sim = a @ b.T / temp # [B, B]
labels = torch.arange(sim.shape[0])
return (F.cross_entropy(sim, labels) + F.cross_entropy(sim.T, labels)) / 2
# ββ Metrics βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def recall_at_1_head(head: LinearHead,
anc_embs: torch.Tensor,
pos_embs: torch.Tensor,
held_out_idx: list) -> float:
"""Recall@1 in g-space.
For each held-out anchor i: query = head(anc_embs[i]).
Gallery = head(pos_embs) over ALL 50 tasks (train + held-out).
Correct if nearest gallery entry == i (the true paraphrase).
"""
with torch.no_grad():
g_pos = head(pos_embs) # [50, 128]
g_anc = head(anc_embs[held_out_idx]) # [N_held, 128]
correct = 0
for k, i in enumerate(held_out_idx):
dists = ((g_pos - g_anc[k].unsqueeze(0)) ** 2).sum(dim=1) # [50]
nearest = int(dists.argmin().item())
if nearest == i:
correct += 1
return correct / len(held_out_idx)
def recall_at_1_raw(anc_embs: torch.Tensor,
pos_embs: torch.Tensor,
held_out_idx: list) -> float:
"""Recall@1 in raw embedding space (L2-normalized, cosine-equivalent)."""
with torch.no_grad():
a_n = F.normalize(anc_embs, dim=-1) # [50, d]
p_n = F.normalize(pos_embs, dim=-1) # [50, d]
correct = 0
for i in held_out_idx:
dists = ((p_n - a_n[i].unsqueeze(0)) ** 2).sum(dim=1)
nearest = int(dists.argmin().item())
if nearest == i:
correct += 1
return correct / len(held_out_idx)
# ββ Training loop βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def train_with_checkpoints(d_in: int,
anc_train: torch.Tensor,
pos_train: torch.Tensor,
anc_all: torch.Tensor,
pos_all: torch.Tensor,
held_out_idx: list) -> dict:
"""Train LinearHead; return {epoch: recall@1} at each CHECKPOINT epoch."""
head = LinearHead(d_in=d_in)
optimizer = torch.optim.Adam(head.parameters(), lr=HEAD_LR)
N = anc_train.shape[0]
results = {}
if 0 in CHECKPOINTS:
results[0] = recall_at_1_head(head, anc_all, pos_all, held_out_idx)
max_ep = max(CHECKPOINTS)
for ep in range(1, max_ep + 1):
perm = torch.randperm(N)
optimizer.zero_grad()
loss = infonce_loss(head(anc_train[perm]), head(pos_train[perm]))
loss.backward()
optimizer.step()
if ep in CHECKPOINTS:
results[ep] = recall_at_1_head(head, anc_all, pos_all, held_out_idx)
return results
# ββ Embedding extractors ββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def embed_kaizen(model: KaizenWithLoRA, tokenizer,
questions: list) -> torch.Tensor:
"""Canonical prompt embed_task for all questions. Returns [N, 512]."""
vecs = []
with torch.no_grad():
for q in questions:
pids = build_prompt_ids(tokenizer, q)[:BLOCK_SIZE - MAX_GEN]
x = torch.tensor([pids], dtype=torch.long)
vecs.append(model.embed_task(x, adapter=None)) # [512]
return torch.stack(vecs)
def embed_gpt2(model: GPT2Model, tokenizer: GPT2Tokenizer,
questions: list) -> torch.Tensor:
"""Mean-pool GPT-2 last hidden state for all questions. Returns [N, 768]."""
vecs = []
with torch.no_grad():
for q in questions:
inputs = tokenizer(q, return_tensors='pt',
truncation=True, max_length=512)
out = model(**inputs)
# last_hidden_state: [1, seq_len, 768] β mean over seq_len
vecs.append(out.last_hidden_state[0].mean(dim=0)) # [768]
return torch.stack(vecs)
# ββ Main ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def main():
t0 = time.time()
rng = random.Random(SEED)
print('Scale experiment: KAIZEN 42M vs GPT-2 117M')
print('Metric: recall@1 on held-out paraphrase pairs')
print(f'Checkpoints: {CHECKPOINTS}')
print('=' * 64)
# ββ Probe data βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
with open(PROBE_PATH) as f:
paraphrases = json.load(f) # list of [para_q, answer, category]
orig_qs = [t[0] for t in BENCHMARK_TASKS] # 50 original questions
para_qs = [p[0] for p in paraphrases] # 50 paraphrase questions
# 70/30 task-level split β same seed as Phase 7.0
all_idx = list(range(50))
rng.shuffle(all_idx)
n_train = int(TRAIN_FRAC * 50) # 35
train_idx = all_idx[:n_train]
held_out_idx = all_idx[n_train:] # 15
print(f'Train tasks: {n_train} | Held-out tasks: {len(held_out_idx)}')
# ββ KAIZEN 42M embeddings βββββββββββββββββββββββββββββββββββββββββββββββββ
print('\n[1/4] Loading KAIZEN 42M and embedding probe questions...')
tok_file = hf_hub_download(HF_TOK_REPO, 'tokenizer.json',
token=HF_TOKEN, cache_dir=None)
kz_tok = Tokenizer.from_file(tok_file)
kz_model = KaizenWithLoRA()
kz_model.load_base(DEFAULT_CKPT)
kz_model.eval()
kz_params = sum(p.numel() for p in kz_model.parameters())
print(f' KAIZEN: {kz_params/1e6:.1f}M params')
kz_anc = embed_kaizen(kz_model, kz_tok, orig_qs) # [50, 512]
kz_pos = embed_kaizen(kz_model, kz_tok, para_qs) # [50, 512]
del kz_model # free model weights; tensors remain valid
print(f' Embeddings: {list(kz_anc.shape)} (elapsed {time.time()-t0:.0f}s)')
# ββ GPT-2 117M embeddings βββββββββββββββββββββββββββββββββββββββββββββββββ
print('\n[2/4] Loading GPT-2 117M and embedding probe questions...')
gpt2_tok = GPT2Tokenizer.from_pretrained('gpt2',
cache_dir='/tmp/gpt2_cache')
gpt2_model = GPT2Model.from_pretrained('gpt2',
cache_dir='/tmp/gpt2_cache')
gpt2_model.eval()
gpt2_params = sum(p.numel() for p in gpt2_model.parameters())
print(f' GPT-2: {gpt2_params/1e6:.1f}M params')
g2_anc = embed_gpt2(gpt2_model, gpt2_tok, orig_qs) # [50, 768]
g2_pos = embed_gpt2(gpt2_model, gpt2_tok, para_qs) # [50, 768]
del gpt2_model # free model weights
print(f' Embeddings: {list(g2_anc.shape)} (elapsed {time.time()-t0:.0f}s)')
# ββ Raw recall@1 (no head) ββββββββββββββββββββββββββββββββββββββββββββββββ
kz_raw = recall_at_1_raw(kz_anc, kz_pos, held_out_idx)
g2_raw = recall_at_1_raw(g2_anc, g2_pos, held_out_idx)
print(f'\nRaw recall@1 (frozen embeddings, no head, cosine NN):')
print(f' KAIZEN 42M : {kz_raw:.4f}')
print(f' GPT-2 117M : {g2_raw:.4f}')
print(f' Ξ (117Mβ42M): {g2_raw - kz_raw:+.4f}')
# ββ Head training: build train tensors ββββββββββββββββββββββββββββββββββββ
kz_anc_tr = kz_anc[train_idx] # [35, 512]
kz_pos_tr = kz_pos[train_idx] # [35, 512]
g2_anc_tr = g2_anc[train_idx] # [35, 768]
g2_pos_tr = g2_pos[train_idx] # [35, 768]
# ββ Train KAIZEN head βββββββββββββββββββββββββββββββββββββββββββββββββββββ
print(f'\n[3/4] Training LinearHead for KAIZEN 42M (512β{HEAD_DIM}, InfoNCE)...')
kz_curve = train_with_checkpoints(
d_in=512,
anc_train=kz_anc_tr, pos_train=kz_pos_tr,
anc_all=kz_anc, pos_all=kz_pos,
held_out_idx=held_out_idx,
)
print(f' Done (elapsed {time.time()-t0:.0f}s)')
# ββ Train GPT-2 head ββββββββββββββββββββββββββββββββββββββββββββββββββββββ
print(f'[4/4] Training LinearHead for GPT-2 117M (768β{HEAD_DIM}, InfoNCE)...')
g2_curve = train_with_checkpoints(
d_in=768,
anc_train=g2_anc_tr, pos_train=g2_pos_tr,
anc_all=g2_anc, pos_all=g2_pos,
held_out_idx=held_out_idx,
)
print(f' Done (elapsed {time.time()-t0:.0f}s)')
# ββ Results table βββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
print()
print('=' * 64)
print('Recall@1 on held-out paraphrase pairs (linear head, InfoNCE, 35 train)')
print(f'{"Epoch":>8s} {"KAIZEN 42M":>12s} {"GPT-2 117M":>12s} {"Ξ(117M-42M)":>12s}')
print('-' * 52)
print(f'{"raw":>8s} {kz_raw:12.4f} {g2_raw:12.4f} {g2_raw-kz_raw:+12.4f}')
for ep in CHECKPOINTS:
kz_r = kz_curve.get(ep, float('nan'))
g2_r = g2_curve.get(ep, float('nan'))
delta = g2_r - kz_r if (kz_r == kz_r and g2_r == g2_r) else float('nan')
print(f'{ep:8d} {kz_r:12.4f} {g2_r:12.4f} {delta:+12.4f}')
kz_final = kz_curve.get(max(CHECKPOINTS), 0.0)
g2_final = g2_curve.get(max(CHECKPOINTS), 0.0)
print()
print(f'Summary (epoch {max(CHECKPOINTS)}):')
print(f' KAIZEN 42M raw={kz_raw:.4f} β head={kz_final:.4f} '
f'(gain={kz_final-kz_raw:+.4f})')
print(f' GPT-2 117M raw={g2_raw:.4f} β head={g2_final:.4f} '
f'(gain={g2_final-g2_raw:+.4f})')
print(f' Scale benefit at epoch 300: {g2_final - kz_final:+.4f} '
f'({"117M > 42M" if g2_final > kz_final else "42M >= 117M"})')
print(f'\nRuntime: {time.time()-t0:.0f}s')
if __name__ == '__main__':
main()
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