"""SET 4: Goldfish monolingual -> bilingual merge on the REAL composition models. goldfish-models/eng_latn_1000mb x goldfish-models/{nld,spa,ell,pol}_*_1000mb (GPT-2, 125M each, SEPARATE monolingual tokenizers). Rungs: M0 naive average (the merge the manuscript reports as failing) vs M1 vocab-remapped + unit-aligned (permutation / Procrustes on the residual basis, free MLP axis, attention heads). METRIC: Delta-floor in NATS PER UTF-8 BYTE on FLORES-200 devtest. Bytes, not tokens: the two parents use different tokenizers, so nats/token is not comparable across them. This is a LIKELIHOOD metric, not benchmark accuracy.""" import os, sys, json, time, argparse, gc sys.path.insert(0, "/root/compose-audit") from common import * import gpt2_align as G2 from mergeschool.core.models import load_hf ap = argparse.ArgumentParser() ap.add_argument("--pairs", default="nld_Latn:nld_latn,spa_Latn:spa_latn,ell_Grek:ell_grek,pol_Latn:pol_latn") ap.add_argument("--n_sent", type=int, default=500) ap.add_argument("--bs", type=int, default=8) ap.add_argument("--barrier_n", type=int, default=7) A = ap.parse_args() OUT = "/root/compose-audit/results/set4_goldfish.jsonl" DEV = "cuda" ENG_REPO = "goldfish-models/eng_latn_1000mb" def log(*a): print(f"[{time.strftime('%H:%M:%S')}]", *a, flush=True) # ------------------------------------------------------------------ tokenizer-invariant eval def build_blocks(tok, text, block=512, max_blocks=64): ids = tok(text)["input_ids"] n = max(1, min(max_blocks, len(ids) // block)) ids = ids[: n * block] arr = torch.from_numpy(np.asarray(ids, dtype=np.int64).reshape(n, block)) nbytes = sum(len(tok.decode(list(arr[i, 1:].numpy())).encode("utf-8")) for i in range(n)) return arr, nbytes @torch.no_grad() def nll_total(model, blocks, dev, bs=8): tot, ntok = 0.0, 0 for i in range(0, blocks.shape[0], bs): x = blocks[i:i + bs].to(dev) lp = torch.log_softmax(model(x).logits.float()[:, :-1], -1) tgt = x[:, 1:] tot += (-lp.gather(-1, tgt.unsqueeze(-1)).squeeze(-1)).sum().item() ntok += tgt.numel() return tot, ntok @torch.no_grad() def sent_acts(model, tok, lines, dev, bs=16, maxlen=128): """Mean-pooled per-sentence residual activations, {layer: (n_sent, d)} -- rows are matched ACROSS LANGUAGES by FLORES sentence id, which is what makes a cross-lingual basis map fittable.""" outs = None for i in range(0, len(lines), bs): enc = tok(lines[i:i + bs], return_tensors="pt", padding=True, truncation=True, max_length=maxlen) ids = enc["input_ids"].to(dev); am = enc["attention_mask"].to(dev).float() hs = model(ids, attention_mask=enc["attention_mask"].to(dev), output_hidden_states=True).hidden_states if outs is None: outs = [[] for _ in hs] w = am / am.sum(1, keepdim=True).clamp(min=1) for j, h in enumerate(hs): outs[j].append((h.float() * w.unsqueeze(-1)).sum(1).cpu()) return {j: torch.cat(o).numpy().astype(np.float64) for j, o in enumerate(outs)} # ------------------------------------------------------------------ load English parent log("loading eng parent") m_e, tok_e = load_hf(ENG_REPO, dtype=torch.float32, device=DEV) m_e.eval() cfg = m_e.config D, NH, NL, V = cfg.n_embd, cfg.n_head, cfg.n_layer, cfg.vocab_size SD_E = sd_np(m_e) log(f"gpt2 d={D} heads={NH} layers={NL} vocab={V}") eng_lines = flores_lines("eng_Latn")[: A.n_sent] eng_text = "\n".join(eng_lines) bl_e_e, by_e_e = build_blocks(tok_e, eng_text) # eng text, eng tokenizer acts_e = sent_acts(m_e, tok_e, eng_lines, DEV) shell = m_e # reuse as the eval shell (eng tokenizer space) def ev_np(sd, blocks): sd_load(shell, sd, DEV) t, n = nll_total(shell, blocks, DEV, bs=A.bs) return t, n nll_e_eng_t, nll_e_eng_n = nll_total(m_e, bl_e_e, DEV, bs=A.bs) PARENT_ENG = {"nats_per_byte": nll_e_eng_t / by_e_e, "nats_per_token": nll_e_eng_t / nll_e_eng_n} log(f"eng parent on eng: {PARENT_ENG}") done = set() if os.path.exists(OUT): for line in open(OUT): try: done.add(json.loads(line)["lang"]) except Exception: pass fh = open(OUT, "a") for spec in A.pairs.split(","): fcode, gcode = spec.split(":") if fcode in done: log("skip", fcode); continue t0 = time.time() repo = f"goldfish-models/{gcode}_1000mb" log(f"=== {fcode} <- {repo}") m_x, tok_x = load_hf(repo, dtype=torch.float32, device=DEV); m_x.eval() SD_X = sd_np(m_x) x_lines = flores_lines(fcode)[: A.n_sent] x_text = "\n".join(x_lines) bl_x_x, by_x_x = build_blocks(tok_x, x_text) # X text, X tokenizer (X parent's own floor) bl_x_e, by_x_e = build_blocks(tok_e, x_text) # X text, ENG tokenizer (merged model's space) acts_x = sent_acts(m_x, tok_x, x_lines, DEV) tx, nx = nll_total(m_x, bl_x_x, DEV, bs=A.bs) parent_x = {"nats_per_byte": tx / by_x_x, "nats_per_token": tx / nx} del m_x; torch.cuda.empty_cache() te, ne = ev_np(SD_E, bl_x_e) # eng parent on X text eng_on_x = {"nats_per_byte": te / by_x_e, "nats_per_token": te / ne} log(f" parents: eng/eng={PARENT_ENG['nats_per_byte']:.4f} x/x={parent_x['nats_per_byte']:.4f} " f"eng-on-x={eng_on_x['nats_per_byte']:.4f} nats/byte") # ------------- vocabulary transport (the OTHER axis: token ids, not the residual basis) vkeys = [k for k in SD_X if k.endswith("wte.weight") or k.endswith("lm_head.weight")] SD_X_V, cov = AL.remap_vocab_rows(SD_X, tok_e, tok_x, V, keys=vkeys) for k in vkeys: W = np.asarray(SD_X_V[k], float) bad = ~np.isfinite(W).all(axis=1) if W.shape[0] == V else ~np.isfinite(W).all(axis=0) if W.shape[0] == V: W[bad] = np.asarray(SD_E[k], float)[bad] # unshared ids: keep English's row (no-op merge) SD_X_V[k] = W anchors = AL.vocab_anchors(tok_e, tok_x) log(f" vocab anchors={len(anchors)} ({len(anchors)/V:.1%} of English ids)") BODY = [k for k in SD_E if not (k.endswith("wte.weight") or k.endswith("lm_head.weight"))] # ------------- alignments (fitted BEFORE merging) R_emb, n_anch = G2.emb_procrustes(SD_E, SD_X, tok_e, tok_x) sd_emb = G2.apply_resid(SD_X_V, D, R=R_emb) sd_emb2, _ = G2.align_full(SD_E, sd_emb, D, NH, None, None, "permutation", body_keys=BODY) sdp, ip = G2.align_full(SD_E, SD_X_V, D, NH, acts_e, acts_x, "permutation", body_keys=BODY) sdo, io = G2.align_full(SD_E, SD_X_V, D, NH, acts_e, acts_x, "orthogonal", body_keys=BODY) sdpf, ipf = G2.align_full(SD_E, SD_X_V, D, NH, acts_e, acts_x, "permutation", body_keys=BODY, accept_each=False) sdof, iof = G2.align_full(SD_E, SD_X_V, D, NH, acts_e, acts_x, "orthogonal", body_keys=BODY, accept_each=False) log(f" align perm={ip} orth={io}") # ------------- predictors (pre-merge) KEYS = shared_keys(SD_E, SD_X) fa, fb = flat(SD_E, KEYS), flat(SD_X, KEYS) p = {"n_emb_anchors": n_anch, "weight_cosine": float(fa @ fb / (np.linalg.norm(fa) * np.linalg.norm(fb))), "vocab_overlap": len(anchors) / V} p["weight_cosine_body"] = float(np.mean([ float(np.asarray(SD_E[k], float).ravel() @ np.asarray(SD_X[k], float).ravel() / (np.linalg.norm(SD_E[k]) * np.linalg.norm(SD_X[k]) + 1e-12)) for k in BODY])) q_p = MT.quotient_weight_distance(SD_E, SD_X_V, sdp, BODY) q_o = MT.quotient_weight_distance(SD_E, SD_X_V, sdo, BODY) p.update({"d_raw": q_p["d_raw"], "qmd_perm": q_p["qmd"], "coord_share_perm": q_p["coord_fraction"], "qmd_orth": q_o["qmd"], "coord_share_orth": q_o["coord_fraction"]}) b_raw = AL.block_normalised_distance(SD_E, SD_X_V, BODY) b_p = AL.block_normalised_distance(SD_E, sdp, BODY) b_o = AL.block_normalised_distance(SD_E, sdo, BODY) p.update({"bnd_raw": b_raw, "bnd_perm": b_p, "bnd_orth": b_o, "coord_share_bnd_perm": float((b_raw - b_p) / b_raw), "coord_share_bnd_orth": float((b_raw - b_o) / b_raw)}) ck, ckby = mean_cka(acts_e, acts_x) p["cka_mean"] = ck; p["cka_last"] = ckby[max(ckby)] for g in ("perm", "procrustes", "ot"): try: qr = MT.quotient_residual(acts_e[NL // 2], acts_x[NL // 2], group=g) p[f"qmd_act_{g}"] = qr["distance"]; p[f"aligned_cka_{g}"] = qr["aligned_cka"] except Exception: p[f"qmd_act_{g}"] = float("nan") # ------------- merge rungs rungs = {"M0_naive_avg": MG.average([SD_E, SD_X]), "M1a_vocab_avg": MG.average([SD_E, SD_X_V]), "M1b_vocab_perm_avg": MG.average([SD_E, sdp]), "M1c_vocab_orth_avg": MG.average([SD_E, sdo]), "M1d_vocab_perm_forced": MG.average([SD_E, sdpf]), "M1e_vocab_orth_forced": MG.average([SD_E, sdof]), "M1g_emb_procrustes": MG.average([SD_E, sd_emb]), "M1h_emb_proc_units": MG.average([SD_E, sd_emb2]), "M1f_perm_novocab": MG.average([SD_E, G2.align_full(SD_E, SD_X, D, NH, acts_e, acts_x, "permutation", body_keys=BODY)[0]])} res = {} for name, sd in rungs.items(): t_e, n_e = ev_np(sd, bl_e_e) t_x, n_x = ev_np(sd, bl_x_e) res[name] = { "eng": {"nats_per_byte": t_e / by_e_e, "nats_per_token": t_e / n_e}, "x": {"nats_per_byte": t_x / by_x_e, "nats_per_token": t_x / n_x}, "delta_floor_eng": t_e / by_e_e - PARENT_ENG["nats_per_byte"], "delta_floor_x": t_x / by_x_e - min(parent_x["nats_per_byte"], eng_on_x["nats_per_byte"]), } res[name]["delta_floor_mean"] = 0.5 * (res[name]["delta_floor_eng"] + res[name]["delta_floor_x"]) for name in res: res[name]["delta_vs_naive_mean"] = res[name]["delta_floor_mean"] - res["M0_naive_avg"]["delta_floor_mean"] r = {"set": "set4_goldfish", "lang": fcode, "repo_a": ENG_REPO, "repo_b": repo, "corpus": "flores200_devtest", "n_sent": A.n_sent, "metric": "nats_per_utf8_byte (likelihood, NOT benchmark accuracy)", "parents": {"eng_on_eng": PARENT_ENG, "x_on_x": parent_x, "eng_on_x": eng_on_x}, "floor_eng": PARENT_ENG["nats_per_byte"], "floor_x": min(parent_x["nats_per_byte"], eng_on_x["nats_per_byte"]), "align_info": {"perm": ip, "orth": io, "perm_forced": ipf, "orth_forced": iof}, "predictors": p, "rungs": res} # ------------- barriers on the mean nats/byte def ev_mean(sd): t_e, _ = ev_np(sd, bl_e_e); t_x, _ = ev_np(sd, bl_x_e) return 0.5 * (t_e / by_e_e + t_x / by_x_e) try: bn = EV.merge_barrier(SD_E, SD_X, ev_mean, n=A.barrier_n) r["barrier_naive"] = {"barrier": bn["barrier"], "losses": list(map(float, bn["losses"]))} bp = EV.merge_barrier(SD_E, sdp, ev_mean, 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" {fcode}: M0 dfloor_mean={res['M0_naive_avg']['delta_floor_mean']:+.4f} " f"M1a={res['M1a_vocab_avg']['delta_floor_mean']:+.4f} " f"M1b_perm={res['M1b_vocab_perm_avg']['delta_floor_mean']:+.4f} " f"M1c_orth={res['M1c_vocab_orth_avg']['delta_floor_mean']:+.4f} ({r['secs']:.0f}s)") del rungs, sdp, sdo, sdpf, sdof, sd_emb, sd_emb2, SD_X, SD_X_V; gc.collect() fh.close() log("DONE set4")