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| #!/usr/bin/env python | |
| """T4 mechanism analysis: move-level policy evolution SFT -> RL (App. H of | |
| arXiv:2607.16097), replicated at reduced scale. | |
| For each puzzle and each checkpoint (SFT and RL steps), estimate the | |
| root-conditioned marginal move policy pi(a|s) by Monte Carlo over traces: | |
| 1. Sample K thinking traces with the verl protocol (fixed 1024-token | |
| thinking budget, premature </T> replaced by <sep>, forced </T> at the | |
| budget) -- the same rollout pipeline the authors used for both SFT and | |
| RL checkpoints. | |
| 2. For each trace r_k, score every legal move a by the product of token | |
| probabilities of a's LAN serialization given (s, r_k) (teacher-forced, | |
| KV-cached forward passes). | |
| 3. pi_hat(a|s) = (1/K) * sum_k pi(a|s, r_k), normalized over legal moves. | |
| Then categorize the SFT -> RL policy change per puzzle (Table 13, top_k=3, | |
| eps_tail=0.05): ground-truth amplification, tail discovery, top-k correction, | |
| ground-truth regression, wrong-mode amplification, other. Report fractions by | |
| difficulty bin (easy B1 vs hard B4/B5). | |
| No-arg invocation = default analysis (SFT 20m_5.3B vs RL steps 100/300/500, | |
| puzzles from B1 + B4 + B5). | |
| """ | |
| import argparse | |
| import json | |
| import os | |
| import re | |
| import sys | |
| import torch | |
| import chess | |
| import numpy as np | |
| from huggingface_hub import hf_hub_download, snapshot_download | |
| from transformers import AutoModelForCausalLM, AutoTokenizer | |
| BENCH_REPO = "pavelslab-nyu/chess_puzzle_benchmark" | |
| RESULTS_REPO = "ML-Intern-lab/pre2post-chess-replication" | |
| BOS, EOS, T_END, SEP, CALL_ENV = 0, 1, 82, 83, 84 | |
| LAN_RE = re.compile(r"^([KQRBNP])([a-h][1-8])(x?)([a-h][1-8])(=([QRBN]))?$") | |
| def load_benchmark(bins, limit_per_bin, seed=0): | |
| import pandas as pd | |
| frames = [] | |
| for b in bins: | |
| f = hf_hub_download(BENCH_REPO, f"think/test_{b}.parquet", repo_type="dataset") | |
| df = pd.read_parquet(f) | |
| if limit_per_bin: | |
| df = df.sample(n=min(limit_per_bin, len(df)), random_state=seed) | |
| frames.append(df) | |
| df = pd.concat(frames, ignore_index=True) | |
| def _gt(v): | |
| return list(v) if isinstance(v, list) else list(eval(v)) | |
| df["gt"] = df["reward_model"].apply(lambda r: _gt(r["ground_truth"])) | |
| df["fen"] = df["extra_info"].apply(lambda r: r["FEN"]) | |
| df["bin"] = df["data_source"] | |
| return df | |
| class Adapter: | |
| def __init__(self, tok): | |
| self.custom = tok.custom_tokenizer | |
| self.vocab = self.custom._tok2id | |
| def encode_prompt(self, prompt): | |
| return list(self.custom.encode(prompt)) | |
| def lan_ids(self, lan): | |
| return [self.vocab[t] for t in self.custom._lan_move_to_tokens(lan)] | |
| def decode(self, ids): | |
| return self.custom.decode(list(ids)) | |
| def legal_lan_moves(board): | |
| """LAN serializations of all legal moves (piece letter as on the board).""" | |
| out = {} | |
| for mv in board.legal_moves: | |
| p = board.piece_at(mv.from_square) | |
| piece = p.symbol().upper() if p else "P" | |
| frm = chess.square_name(mv.from_square) | |
| to = chess.square_name(mv.to_square) | |
| cap = "x" if board.is_capture(mv) else "" | |
| lan = f"{piece}{frm}{cap}{to}" | |
| if mv.promotion: | |
| lan += "=" + chess.piece_symbol(mv.promotion).upper() | |
| out[mv.uci()] = lan | |
| return out | |
| def strip_pads(ids): | |
| if EOS in ids: | |
| ids = ids[: ids.index(EOS) + 1] | |
| while ids and ids[-1] == BOS: | |
| ids = ids[:-1] | |
| return ids | |
| def gen_round(model, contexts, max_new, stop_ids, temp, device): | |
| maxlen = max(len(c) for c in contexts) | |
| input_ids = torch.full((len(contexts), maxlen), BOS, dtype=torch.long) | |
| attn = torch.zeros((len(contexts), maxlen), dtype=torch.long) | |
| for j, c in enumerate(contexts): | |
| input_ids[j, maxlen - len(c):] = torch.tensor(c) | |
| attn[j, maxlen - len(c):] = 1 | |
| input_ids, attn = input_ids.to(device), attn.to(device) | |
| out = model.generate(input_ids=input_ids, attention_mask=attn, | |
| max_new_tokens=max_new, do_sample=temp > 0, | |
| temperature=max(temp, 1e-5), use_cache=True, | |
| pad_token_id=BOS, | |
| eos_token_id=stop_ids if stop_ids else None) | |
| return [strip_pads(out[j, maxlen:].tolist()) for j in range(len(contexts))] | |
| def sample_traces(model, adapter, prompt, K, thinking_budget, round_sz, temp, device): | |
| """K thinking traces via the verl forced-budget procedure.""" | |
| base = adapter.encode_prompt(prompt) | |
| ctx = [list(base) for _ in range(K)] | |
| used = [0] * K | |
| done = [False] * K | |
| while not all(done): | |
| act = [i for i in range(K) if not done[i]] | |
| gens = gen_round(model, [ctx[i] for i in act], round_sz, [T_END, EOS], temp, device) | |
| for j, i in enumerate(act): | |
| toks = gens[j][: thinking_budget - used[i]] | |
| if not toks: | |
| ctx[i] += [T_END]; used[i] += 1; done[i] = True; continue | |
| used[i] += len(toks) | |
| if toks[-1] == T_END: | |
| if used[i] < thinking_budget: | |
| ctx[i] += toks[:-1] + [SEP] | |
| else: | |
| ctx[i] += toks | |
| done[i] = True | |
| elif toks[-1] == EOS: | |
| ctx[i] += toks + [T_END] | |
| done[i] = True | |
| else: | |
| ctx[i] += toks | |
| if used[i] >= thinking_budget: | |
| ctx[i] += [T_END] | |
| done[i] = True | |
| for i in range(K): | |
| if ctx[i][-1] != T_END: | |
| ctx[i] += [T_END] | |
| return [ctx[i][len(base):] for i in range(K)] # trace token lists | |
| def move_probs_given_trace(model, adapter, base_ids, trace_ids, board, device): | |
| """pi(a|s,r) for all legal moves: one teacher-forced forward per move | |
| (prefix + move tokens, batch=1), gathering the move tokens' logprobs.""" | |
| vocab = adapter.vocab | |
| prefix = list(base_ids) + list(trace_ids) | |
| prefix_t = torch.tensor([prefix], dtype=torch.long, device=device) | |
| moves = legal_lan_moves(board) | |
| logps = {} | |
| for uci, lan in moves.items(): | |
| toks = [vocab[t] for t in adapter.custom._lan_move_to_tokens(lan)] | |
| ids = torch.tensor([prefix + toks], dtype=torch.long, device=device) | |
| logits = model(input_ids=ids).logits[0] # (L, V) | |
| # logprob of token t at position i comes from logits at position i-1 | |
| lp = 0.0 | |
| for j, t in enumerate(toks): | |
| pos = len(prefix) - 1 + j | |
| lp += torch.log_softmax(logits[pos].float(), dim=-1)[t].item() | |
| logps[uci] = lp | |
| ucis = list(logps) | |
| arr = np.array([logps[u] for u in ucis]) | |
| arr = arr - arr.max() | |
| p = np.exp(arr) | |
| p = p / p.sum() | |
| return {u: float(pi) for u, pi in zip(ucis, p)} | |
| def categorize(p_sft, p_rl, gt_uci, top_k=3, eps_tail=0.05): | |
| def topk(p): | |
| return set(u for u, _ in sorted(p.items(), key=lambda kv: -kv[1])[:top_k]) | |
| t0, t1 = topk(p_sft), topk(p_rl) | |
| gt = gt_uci | |
| d = p_rl.get(gt, 0.0) - p_sft.get(gt, 0.0) | |
| wrong0 = max(p_sft, key=p_sft.get) | |
| if gt in t0 and gt in t1 and d > 0: | |
| return "gt_amplification" | |
| if gt not in t0 and gt in t1 and p_sft.get(gt, 0.0) < eps_tail: | |
| return "tail_discovery" | |
| if gt not in t0 and gt in t1: | |
| return "topk_correction" | |
| if gt in t0 and gt not in t1: | |
| return "gt_regression" | |
| if gt not in t0 and gt not in t1 and wrong0 in t1 and d != 0 and \ | |
| p_rl.get(wrong0, 0.0) > p_sft.get(wrong0, 0.0): | |
| return "wrong_mode_amplification" | |
| return "other" | |
| CHECKPOINTS = [ | |
| ("sft", "pavelslab-nyu/Chess-SFT-Models", "model_20m_5.3B"), | |
| ("rl_100", "Pre2Post-Chess-RL/Chess-RL-Models", "model_20m_5.3B/global_step_100"), | |
| ("rl_300", "Pre2Post-Chess-RL/Chess-RL-Models", "model_20m_5.3B/global_step_300"), | |
| ("rl_500", "Pre2Post-Chess-RL/Chess-RL-Models", "model_20m_5.3B/global_step_500"), | |
| ] | |
| def main(): | |
| ap = argparse.ArgumentParser() | |
| ap.add_argument("--bins", nargs="+", default=["B1", "B4", "B5"]) | |
| ap.add_argument("--limit-per-bin", type=int, default=12) | |
| ap.add_argument("--k-traces", type=int, default=12) | |
| ap.add_argument("--thinking-budget", type=int, default=1024) | |
| ap.add_argument("--round", type=int, default=256) | |
| ap.add_argument("--temp", type=float, default=1.0) | |
| ap.add_argument("--seed", type=int, default=0) | |
| ap.add_argument("--out", default="/work/results/t4_mechanism.json") | |
| args = ap.parse_args() | |
| torch.manual_seed(args.seed) | |
| df = load_benchmark(args.bins, args.limit_per_bin, args.seed) | |
| print(f"T4: {len(df)} puzzles x {len(CHECKPOINTS)} checkpoints, " | |
| f"K={args.k_traces} traces", flush=True) | |
| policies = {} # (ckpt, puzzle) -> {uci: prob} | |
| for name, repo, sub in CHECKPOINTS: | |
| local = snapshot_download(repo, allow_patterns=f"{sub}/*") | |
| path = os.path.join(local, sub) | |
| device = "cuda" if torch.cuda.is_available() else "cpu" | |
| model = AutoModelForCausalLM.from_pretrained(path, trust_remote_code=True).to(device).eval() | |
| tok = AutoTokenizer.from_pretrained(path, trust_remote_code=True) | |
| adapter = Adapter(tok) | |
| for _, row in df.iterrows(): | |
| base = adapter.encode_prompt(row["prompt"]) | |
| traces = sample_traces(model, adapter, row["prompt"], args.k_traces, | |
| args.thinking_budget, args.round, args.temp, device) | |
| board = chess.Board(row["fen"]) | |
| acc = None | |
| for tr in traces: | |
| p = move_probs_given_trace(model, adapter, base, tr, board, device) | |
| if acc is None: | |
| acc = {u: v for u, v in p.items()} | |
| else: | |
| for u in acc: | |
| acc[u] += p.get(u, 0.0) | |
| acc = {u: v / len(traces) for u, v in acc.items()} | |
| policies[(name, row["extra_info"]["PuzzleId"])] = acc | |
| print(f"[{name}] {row['extra_info']['PuzzleId']} ({row['bin']}) done", flush=True) | |
| del model | |
| torch.cuda.empty_cache() | |
| # categorize SFT -> RL per puzzle | |
| cats = {} | |
| for _, row in df.iterrows(): | |
| pid = row["extra_info"]["PuzzleId"] | |
| gt = row["gt"][0] | |
| p_sft = policies[("sft", pid)] | |
| for name, _, _ in CHECKPOINTS[1:]: | |
| cats.setdefault(name, {}).setdefault(row["bin"], {}).setdefault("counts", {}) | |
| c = categorize(p_sft, policies[(name, pid)], gt) | |
| counts = cats[name][row["bin"]]["counts"] | |
| counts[c] = counts.get(c, 0) + 1 | |
| out = {"config": vars(args), "policies": {f"{k[0]}|{k[1]}": v for k, v in policies.items()}, | |
| "categories": cats} | |
| os.makedirs(os.path.dirname(args.out) or ".", exist_ok=True) | |
| with open(args.out, "w") as f: | |
| json.dump(out, f) | |
| print(json.dumps(cats, indent=2), flush=True) | |
| try: | |
| from huggingface_hub import HfApi | |
| HfApi().upload_file(path_or_fileobj=args.out, path_in_repo="results/t4_mechanism.json", | |
| repo_id=RESULTS_REPO, repo_type="dataset") | |
| print("[upload] t4_mechanism.json", flush=True) | |
| except Exception as e: | |
| print(f"[upload] FAILED: {e}", flush=True) | |
| if __name__ == "__main__": | |
| main() | |