"""SET 1: PolyPythia seed-merge. EleutherAI/pythia-{size}-seed{1..9}, C(9,2)=36 pairs. Same data, same arch, same tokenizer; only the init/data-order seed varies -> the merge obstruction is PURELY COORDINATE. Rungs M0 naive / M1 unit-aligned / task-arith / TIES. Metric: Delta-floor in nats/token on a held-out corpus (FLORES-200 eng_Latn devtest).""" import os, sys, json, time, itertools, argparse, gc sys.path.insert(0, "/root/compose-audit") from common import * from transformers import AutoModelForCausalLM, AutoTokenizer ap = argparse.ArgumentParser() ap.add_argument("--size", default="14m") ap.add_argument("--base", default=None, help="repo stem for tokenizer/pseudo-base; defaults to pythia-") ap.add_argument("--seeds", default="1,2,3,4,5,6,7,8,9") ap.add_argument("--blocks", type=int, default=48) ap.add_argument("--bs", type=int, default=16) ap.add_argument("--barrier_n", type=int, default=7) ap.add_argument("--acts_rows", type=int, default=2048) ap.add_argument("--tag", default="set1") A = ap.parse_args() BASE_STEM = A.base or f"pythia-{A.size}" SEEDS = [int(s) for s in A.seeds.split(",")] OUT = f"/root/compose-audit/results/{A.tag}_{A.size}.jsonl" DEV = "cuda" def log(*a): print(f"[{time.strftime('%H:%M:%S')}]", *a, flush=True) # ------------------------------------------------------------------ local: GPTNeoX fused-QKV head perm def neox_head_match(sd_a, sd_b, d, n_heads, nlayer): hd = d // n_heads perms = {} for L in range(nlayer): qk = f"gpt_neox.layers.{L}.attention.query_key_value.weight" de = f"gpt_neox.layers.{L}.attention.dense.weight" if qk not in sd_a or qk not in sd_b: continue A_ = np.asarray(sd_a[qk], float).reshape(n_heads, 3 * hd, d) B_ = np.asarray(sd_b[qk], float).reshape(n_heads, 3 * hd, d) gain = np.einsum("ixy,jxy->ij", A_, B_) Ad = np.asarray(sd_a[de], float).reshape(d, n_heads, hd) Bd = np.asarray(sd_b[de], float).reshape(d, n_heads, hd) gain = gain + np.einsum("xiy,xjy->ij", Ad, Bd) perms[L] = AL._assignment(gain) return perms def neox_apply_head(sd, perms, d, n_heads): hd = d // n_heads out = dict(sd) for L, h in perms.items(): qk = f"gpt_neox.layers.{L}.attention.query_key_value.weight" qb = f"gpt_neox.layers.{L}.attention.query_key_value.bias" de = f"gpt_neox.layers.{L}.attention.dense.weight" out[qk] = np.asarray(sd[qk], float).reshape(n_heads, 3 * hd, d)[h].reshape(3 * d, d) if qb in sd: out[qb] = np.asarray(sd[qb], float).reshape(n_heads, 3 * hd)[h].reshape(3 * d) out[de] = np.asarray(sd[de], float).reshape(d, n_heads, hd)[:, h].reshape(d, d) return out def align_full(sd_a, sd_b, d, acts_a, acts_b, n_heads, nlayer, method): """AL.align_weights_full (residual basis + free MLP axis) + a GPTNeoX fused-QKV head factor, each accepted only if it does not increase the scale-free block-normalised distance.""" sd, info = AL.align_weights_full(sd_a, sd_b, d, acts_a=acts_a, acts_b=acts_b, n_heads=None, method=method, strict=True, accept_each=True) hp = neox_head_match(sd_a, sd, d, n_heads, nlayer) if hp: cand = neox_apply_head(sd, hp, d, n_heads) if AL.block_normalised_distance(sd_a, cand) <= AL.block_normalised_distance(sd_a, sd): sd, info["heads"] = cand, len(hp) else: info["rejected"].append("heads") return sd, info # ------------------------------------------------------------------ setup tok = AutoTokenizer.from_pretrained(f"EleutherAI/{BASE_STEM}") lines = flores_lines("eng_Latn") blocks = make_blocks(tok, lines, block=512, max_blocks=A.blocks) log(f"size={A.size} blocks={tuple(blocks.shape)} tokens={blocks.numel()}") shell = AutoModelForCausalLM.from_pretrained(f"EleutherAI/pythia-{A.size}-seed{SEEDS[0]}", dtype=torch.float32).to(DEV).eval() cfg = shell.config D, NH, NL = cfg.hidden_size, cfg.num_attention_heads, cfg.num_hidden_layers log(f"d={D} heads={NH} layers={NL} params={sum(p.numel() for p in shell.parameters())/1e6:.1f}M") def ev(sd): sd_load(shell, sd, DEV) return nll_nats(shell, blocks, DEV, bs=A.bs) SDS, NLL, ACTS = {}, {}, {} for s in SEEDS: m = AutoModelForCausalLM.from_pretrained(f"EleutherAI/pythia-{A.size}-seed{s}", dtype=torch.float32).to(DEV).eval() SDS[s] = sd_np(m) NLL[s] = nll_nats(m, blocks, DEV, bs=A.bs) ACTS[s] = capture_acts(m, blocks, DEV, n_rows=A.acts_rows, bs=A.bs) del m; torch.cuda.empty_cache() log(f" seed{s} nll={NLL[s]:.4f}") BASE = None try: mb = AutoModelForCausalLM.from_pretrained(f"EleutherAI/{BASE_STEM}", dtype=torch.float32).to(DEV).eval() BASE = sd_np(mb); BASE_NLL = nll_nats(mb, blocks, DEV, bs=A.bs) del mb; torch.cuda.empty_cache() log(f" base({BASE_STEM}, NOT a shared ancestor of the seeds) nll={BASE_NLL:.4f}") except Exception as e: log("base load failed:", e) KEYS = shared_keys(SDS[SEEDS[0]], SDS[SEEDS[1]]) done = set() if os.path.exists(OUT): for line in open(OUT): try: done.add(tuple(json.loads(line)["pair"])) except Exception: pass log(f"resuming: {len(done)} pairs already done") fh = open(OUT, "a") for a, b in itertools.combinations(SEEDS, 2): if (a, b) in done: continue t0 = time.time() sa, sb = SDS[a], SDS[b] r = {"set": "set1_polypythia", "size": A.size, "pair": [a, b], "parent_nll": {"a": NLL[a], "b": NLL[b]}, "floor": min(NLL[a], NLL[b]), "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token"} # ---------------- alignments (fitted BEFORE any merge) ---------------- sb_perm, info_p = align_full(sa, sb, D, ACTS[a], ACTS[b], NH, NL, "permutation") sb_orth, info_o = align_full(sa, sb, D, ACTS[a], ACTS[b], NH, NL, "orthogonal") r["align_info"] = {"perm": info_p, "orth": info_o} # ---------------- predictors (pre-merge) ---------------- fa, fb = flat(sa, KEYS), flat(sb, KEYS) p = {"weight_cosine": float(fa @ fb / (np.linalg.norm(fa) * np.linalg.norm(fb)))} p["weight_cosine_bn"] = float(np.mean([ float(np.asarray(sa[k], float).ravel() @ np.asarray(sb[k], float).ravel() / (np.linalg.norm(sa[k]) * np.linalg.norm(sb[k]) + 1e-12)) for k in KEYS])) qwd_p = MT.quotient_weight_distance(sa, sb, sb_perm, KEYS) qwd_o = MT.quotient_weight_distance(sa, sb, sb_orth, KEYS) p.update({"d_raw": qwd_p["d_raw"], "qmd_perm": qwd_p["qmd"], "coord_share_perm": qwd_p["coord_fraction"], "norm_ratio_perm": qwd_p["norm_ratio"], "qmd_orth": qwd_o["qmd"], "coord_share_orth": qwd_o["coord_fraction"]}) for tag, extra in (("perm", qwd_p), ("orth", qwd_o)): for k in ("d_raw_bn", "qmd_bn", "coordinate_gap_bn", "coord_fraction_bn"): if k in extra: p[f"{k}_{tag}"] = extra[k] bnd_raw = AL.block_normalised_distance(sa, sb, KEYS) bnd_p = AL.block_normalised_distance(sa, sb_perm, KEYS) bnd_o = AL.block_normalised_distance(sa, sb_orth, KEYS) p.update({"bnd_raw": bnd_raw, "bnd_perm": bnd_p, "bnd_orth": bnd_o, "coord_share_bnd_perm": float((bnd_raw - bnd_p) / bnd_raw), "coord_share_bnd_orth": float((bnd_raw - bnd_o) / bnd_raw)}) ck, ck_by = mean_cka(ACTS[a], ACTS[b]) p["cka_mean"] = ck; p["cka_last"] = ck_by[max(ck_by)] mid = NL // 2 for g in ("perm", "procrustes", "ot"): try: qr = MT.quotient_residual(ACTS[a][mid], ACTS[b][mid], group=g) p[f"qmd_act_{g}"] = qr["distance"]; p[f"aligned_cka_{g}"] = qr["aligned_cka"] except Exception as e: p[f"qmd_act_{g}"] = float("nan") if BASE is not None: ta = flat({k: sa[k] - BASE[k] for k in KEYS}, KEYS) tb = flat({k: sb[k] - BASE[k] for k in KEYS}, KEYS) p["task_vector_cosine"] = float(ta @ tb / (np.linalg.norm(ta) * np.linalg.norm(tb))) r["predictors"] = p # ---------------- merge rungs ---------------- rungs = {} rungs["M0_naive_avg"] = MG.average([sa, sb]) rungs["M1_perm_avg"] = MG.average([sa, sb_perm]) rungs["M1_orth_avg"] = MG.average([sa, sb_orth]) if BASE is not None: rungs["M2_task_arith"] = MG.task_arithmetic(BASE, [sa, sb]) try: rungs["M3_ties"] = MG.ties(BASE, [sa, sb], density=0.2) except Exception as e: log("ties failed", e) res = {} for name, sd in rungs.items(): n = ev(sd) res[name] = {"nll": n, "delta_floor": n - r["floor"], "delta_vs_naive": None} for name in res: res[name]["delta_vs_naive"] = res[name]["nll"] - res["M0_naive_avg"]["nll"] r["rungs"] = res # ---------------- barriers ---------------- try: bn = EV.merge_barrier(sa, sb, ev, n=A.barrier_n) r["barrier_naive"] = {"barrier": bn["barrier"], "losses": list(map(float, bn["losses"]))} bp = EV.merge_barrier(sa, sb_perm, ev, n=A.barrier_n) r["barrier_perm"] = {"barrier": bp["barrier"], "losses": list(map(float, bp["losses"]))} except Exception as e: log("barrier failed", e) r["secs"] = time.time() - t0 fh.write(json.dumps(r) + "\n"); fh.flush() log(f"pair {a},{b} floor={r['floor']:.3f} M0={res['M0_naive_avg']['delta_floor']:+.3f} " f"M1perm={res['M1_perm_avg']['delta_floor']:+.3f} M1orth={res['M1_orth_avg']['delta_floor']:+.3f} " f"({r['secs']:.0f}s)") del rungs, sb_perm, sb_orth; gc.collect() fh.close() log("DONE", A.size)