GSM plan-distillation control (width/depth law falsification test)
Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
This commit is contained in:
Nils
Claude Fable 5
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"""GSM plan-distillation control: KL from CoT-context teacher into FF adapter.
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The width/depth law's falsification test: on code, distilling the model's own
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plans into a feedforward adapter beat every recurrent variant. If the law is
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right, the same recipe FAILS on GSM — sequential arithmetic cannot be
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compressed into weight-space plan-priming. Interpretation caveat (recorded):
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GSM answer spans are ~3 tokens vs ~100 for code, so supervision density is
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also lower here; a null is law-consistent but not law-proving.
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"""
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import argparse
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import json
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import math
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import os
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import random
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import sys
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import time
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from pathlib import Path
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import torch
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import torch.nn.functional as F
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from loop_common import (COT_SUFFIX, DIRECT_SUFFIX, BandLooper, MergeAdapter,
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chat_prompt, last_number, num_eq)
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from prep_mbpp import batch_generate
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sys.path.insert(0, str(Path(__file__).resolve().parent.parent))
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from jlens.core import load_model # noqa: E402
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OUT = Path(os.environ.get("LOOP_OUT",
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Path(__file__).resolve().parent.parent / "results-loop"))
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STEPS = 600
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BATCH = 4
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LR = 1e-3
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WARMUP = 20
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KL_T = 1.0
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def lr_at(step):
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if step < WARMUP:
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return LR * (step + 1) / WARMUP
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t = (step - WARMUP) / max(1, STEPS - WARMUP)
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return 1e-4 + 0.5 * (LR - 1e-4) * (1 + math.cos(math.pi * t))
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def ensure_cots(model, tok, items):
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path = OUT / "gsm_cots.json"
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if path.exists():
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return json.load(open(path))
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print(f"generating CoTs for {len(items)} items", flush=True)
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gens = batch_generate(model, tok,
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[chat_prompt(tok, it["question"], COT_SUFFIX)
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for it in items], max_new_tokens=320,
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batch_size=32)
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cots = {}
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for it, g in zip(items, gens):
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if num_eq(last_number(g), it["gold"]): # keep only correct traces
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cots[str(it["idx"])] = g
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json.dump(cots, open(path, "w"), indent=1)
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return cots
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def main():
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ap = argparse.ArgumentParser()
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ap.add_argument("--seed", type=int, default=0)
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args = ap.parse_args()
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rng = random.Random(args.seed)
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torch.manual_seed(args.seed)
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model, tok = load_model(dtype=torch.bfloat16)
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tok.padding_side = "left"
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for p in model.parameters():
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p.requires_grad_(False)
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looper = BandLooper(model)
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d = model.config.get_text_config().hidden_size
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adapter = MergeAdapter(d=d).cuda()
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opt = torch.optim.AdamW(adapter.parameters(), lr=LR, weight_decay=0.01)
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data = [it for it in json.load(open(OUT / "star_data.json"))
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if it["split"] == "train" and it["label"] != "drop"]
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cots = ensure_cots(model, tok, data)
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tok.padding_side = "right"
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train = [it for it in data if str(it["idx"]) in cots
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and len(tok(it["question"])["input_ids"]) <= 350]
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print(f"distill pool: {len(train)}", flush=True)
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pad = tok.pad_token_id or 0
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t0 = time.time()
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for step in range(STEPS):
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batch = rng.sample(train, BATCH)
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pairs = []
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for it in batch:
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a = tok(it["gold"] + "<end_of_turn>",
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add_special_tokens=False)["input_ids"]
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sp = tok(chat_prompt(tok, it["question"], DIRECT_SUFFIX),
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add_special_tokens=False)["input_ids"]
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tp = tok(chat_prompt(tok, it["question"], COT_SUFFIX)
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+ cots[str(it["idx"])] + "\n",
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add_special_tokens=False)["input_ids"]
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pairs.append((sp, tp, a))
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Ts = max(len(sp) + len(a) for sp, _, a in pairs)
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Tt = max(len(tp) + len(a) for _, tp, a in pairs)
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s_ids = torch.full((BATCH, Ts), pad, dtype=torch.long)
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s_msk = torch.zeros((BATCH, Ts), dtype=torch.long)
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t_ids = torch.full((BATCH, Tt), pad, dtype=torch.long)
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t_msk = torch.zeros((BATCH, Tt), dtype=torch.long)
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lab = torch.full((BATCH, Ts), -100, dtype=torch.long)
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spans = []
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for i, (sp, tp, a) in enumerate(pairs):
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s_ids[i, : len(sp) + len(a)] = torch.tensor(sp + a)
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s_msk[i, : len(sp) + len(a)] = 1
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lab[i, len(sp): len(sp) + len(a)] = torch.tensor(a)
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t_ids[i, : len(tp) + len(a)] = torch.tensor(tp + a)
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t_msk[i, : len(tp) + len(a)] = 1
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spans.append((len(sp), len(tp), len(a)))
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s_ids, s_msk, lab = s_ids.cuda(), s_msk.cuda(), lab.cuda()
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t_ids, t_msk = t_ids.cuda(), t_msk.cuda()
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lmask = (lab == -100) & (s_msk == 1)
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with torch.no_grad():
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t_logits = model(input_ids=t_ids, attention_mask=t_msk,
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use_cache=False).logits
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for g in opt.param_groups:
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g["lr"] = lr_at(step)
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s_logits = looper.loop_logits(adapter, s_ids, 1, attention_mask=s_msk,
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loop_mask=lmask, feedforward=True,
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use_checkpoint=True)
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kl = torch.zeros((), device="cuda")
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n_tok = 0
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for i, (ls, lt, la) in enumerate(spans):
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sl = s_logits[i, ls - 1: ls + la - 1].float()
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tl = t_logits[i, lt - 1: lt + la - 1].float()
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kl = kl + F.kl_div(F.log_softmax(sl / KL_T, -1),
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F.log_softmax(tl / KL_T, -1),
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log_target=True, reduction="sum")
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n_tok += la
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kl = kl / n_tok
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ce = F.cross_entropy(s_logits[:, :-1].flatten(0, 1).float(),
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lab[:, 1:].flatten(), ignore_index=-100)
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loss = kl + 0.5 * ce
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opt.zero_grad(set_to_none=True)
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loss.backward()
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torch.nn.utils.clip_grad_norm_(adapter.parameters(), 1.0)
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opt.step()
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if step % 10 == 0:
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print(f"step {step:4d} kl={kl.item():.4f} ce={ce.item():.4f} "
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f"({(time.time()-t0)/(step+1):.1f}s/step)", flush=True)
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if step % 200 == 199 or step == STEPS - 1:
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torch.save(adapter.state_dict(),
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OUT / f"adapter_gsm_distill_e{step+1}.pt")
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print("done", flush=True)
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if __name__ == "__main__":
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main()
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