#!/usr/bin/env python3 """Does a latent encode ONE node at depth m, or BOTH frontier nodes at once? At stage k the training target is random.choice(neighbor_k[k]); in a 2-arm star that set has 2 members (one per arm), so the supervision is ambiguous. Two hypotheses for what the model learns: (H1) COMMIT: the latent picks one arm and puts nearly all mass on it. -> p(top1) >> p(top2), and top2 is often not the sibling frontier node. (H2) SUPERPOSITION: the latent represents BOTH depth-m nodes simultaneously; argmax then breaks the tie ~arbitrarily. -> top-2 tokens are exactly the two frontier nodes, with comparable mass. We also ask whether the model has any PREFERENCE for the arm that leads to the true target leaf (i.e. does it secretly know the answer early?): -> compare p(target-arm node) vs p(other-arm node) at each hop. Reported per hop m: frontier_mass mean total prob on the 2 true depth-m nodes top2_is_frontier fraction where the top-2 tokens are exactly those 2 nodes p1/p2 ratio mean ratio of larger to smaller of the two frontier probs target_arm_win fraction where the target-arm node outranks the other arm p_target_share mean p(target arm) / (p(target)+p(other)) [0.5 = no preference] """ import argparse import json import torch import torch.nn.functional as F from transformers import AutoModelForCausalLM, AutoConfig from stokenizer import STokenizer from coconut import Coconut from scripts.probe_latents import build_prefix_tokens ARMS = [ ("Backtracking", "backtrack"), ("Current-stage-only", "curstage"), ("Retention-gated (no repair)", "accstage-nobt"), ] def latest_ckpt(slug): import os d = f"ckpts/star-coconut-L10-bfs-{slug}" cks = sorted((f for f in os.listdir(d) if f.startswith("checkpoint_")), key=lambda x: int(x.split("_")[1])) return os.path.join(d, cks[-1]) @torch.no_grad() def run(ckpt, val_path, model_id, L, device, batch_size=64): tok = STokenizer() latent_id = tok.convert_tokens_to_ids("<|latent|>") base = AutoModelForCausalLM.from_config(AutoConfig.from_pretrained(model_id)) model = Coconut(base, latent_id, tok.convert_tokens_to_ids("<|start-latent|>"), tok.convert_tokens_to_ids("<|end-latent|>"), tok.eos_token_id) model.load_state_dict(torch.load(ckpt, map_location="cpu"), strict=False) model.to(device).eval() data = json.load(open(val_path)) acc = {m: {"mass": [], "top2": 0, "ratio": [], "twin": 0, "share": [], "n": 0} for m in range(1, L + 1)} n_frontier_sizes = {} for i in range(0, len(data), batch_size): batch = data[i:i + batch_size] input_ids = torch.tensor([build_prefix_tokens(s, tok) + [latent_id] * L for s in batch], device=device) attn = torch.ones_like(input_ids) pos = torch.arange(input_ids.shape[1], device=device).unsqueeze(0).expand(len(batch), -1) logits = model.forward(input_ids, attn, input_ids.clone(), pos).logits probs = F.softmax(logits.float(), dim=-1) for bi, s in enumerate(batch): root_pos = len(build_prefix_tokens(s, tok)) - 1 steps = s["steps"] for m in range(1, L + 1): front = s["neighbor_k"].get(str(m), []) n_frontier_sizes[len(front)] = n_frontier_sizes.get(len(front), 0) + 1 if len(front) != 2: continue p = probs[bi, root_pos + (m - 1)] pf = [p[int(n)].item() for n in front] a = acc[m] a["n"] += 1 a["mass"].append(sum(pf)) top2 = set(torch.topk(p, 2).indices.tolist()) if top2 == {int(front[0]), int(front[1])}: a["top2"] += 1 hi, lo = max(pf), min(pf) a["ratio"].append(hi / lo if lo > 0 else float("inf")) # which of the two is on the true shortest path to the target leaf? if m - 1 < len(steps): tgt = int(steps[m - 1]) other = [int(n) for n in front if int(n) != tgt] if other: pt, po = p[tgt].item(), p[other[0]].item() if pt > po: a["twin"] += 1 if pt + po > 0: a["share"].append(pt / (pt + po)) return acc, n_frontier_sizes def mean(x): return sum(x) / len(x) if x else float("nan") def main(): ap = argparse.ArgumentParser() ap.add_argument("--val", default="data/star_2arm_L10_valid_fo_bfs.json") ap.add_argument("--model_id", default="configs/symbol-2layer-8head-768dim-L20.json") ap.add_argument("--L", type=int, default=10) ap.add_argument("--device", default="cuda:0") ap.add_argument("--only", default=None, help="restrict to one arm slug") args = ap.parse_args() for label, slug in ARMS: if args.only and slug != args.only: continue ck = latest_ckpt(slug) acc, sizes = run(ck, args.val, args.model_id, args.L, args.device) print(f"\n===== {label} ({ck}) =====") print(f"frontier-set sizes seen: {sizes}") print(f"{'hop':>4} {'frontier_mass':>14} {'top2_is_frontier':>17} " f"{'p_hi/p_lo':>10} {'target_arm_win':>15} {'p_target_share':>15}") for m in range(1, args.L + 1): a = acc[m] if not a["n"]: continue print(f"{m:>4} {mean(a['mass']):>14.3f} {a['top2']/a['n']:>17.3f} " f"{mean(a['ratio']):>10.2f} {a['twin']/a['n']:>15.3f} " f"{mean(a['share']):>15.3f}") if __name__ == "__main__": main()