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"""HRM Sudoku Lyapunov / trajectory diagnostic.
Loads a trained HRM checkpoint, runs inference on a sample of the test set,
records the recursion trajectory (z_H, z_L at every (act_step, h_cycle, l_cycle)),
and computes the top Lyapunov exponent of the recursion Jacobian via power
iteration with JVP. Splits samples by success / failure and writes a npz.
"""
from __future__ import annotations
import os, sys, yaml, math, argparse, json, time
from pathlib import Path
import numpy as np
import torch
import torch.nn.functional as F
HRM_DIR = Path("/home/yurenh2/rrm/hrm")
sys.path.insert(0, str(HRM_DIR))
from models.hrm.hrm_act_v1 import (
HierarchicalReasoningModel_ACTV1,
HierarchicalReasoningModel_ACTV1Config,
HierarchicalReasoningModel_ACTV1Carry,
HierarchicalReasoningModel_ACTV1InnerCarry,
)
def load_model(ckpt_root: Path, ckpt_name: str, device: str = "cuda"):
cfg_path = ckpt_root / "all_config.yaml"
cfg = yaml.safe_load(cfg_path.read_text())
arch_cfg = cfg["arch"]
# Need batch_size, seq_len, vocab_size, num_puzzle_identifiers — read from train metadata
train_meta = json.loads((Path(cfg["data_path"]) / "train" / "dataset.json").read_text())
arch_cfg = dict(arch_cfg)
arch_cfg["batch_size"] = cfg["global_batch_size"]
arch_cfg["seq_len"] = train_meta["seq_len"]
arch_cfg["vocab_size"] = train_meta["vocab_size"]
arch_cfg["num_puzzle_identifiers"] = train_meta["num_puzzle_identifiers"]
arch_cfg["causal"] = False
model = HierarchicalReasoningModel_ACTV1(arch_cfg)
sd = torch.load(ckpt_root / ckpt_name, map_location="cpu", weights_only=True)
# Strip torch.compile (`_orig_mod.`) and ACTLossHead wrapper (`model.`) prefixes
stripped = {}
for k, v in sd.items():
nk = k
for prefix in ("_orig_mod.", "model."):
if nk.startswith(prefix):
nk = nk[len(prefix):]
stripped[nk] = v
missing, unexpected = model.load_state_dict(stripped, strict=False)
if missing or unexpected:
print(f"[load] missing={len(missing)} unexpected={len(unexpected)}; "
f"sample missing={missing[:3]}, sample unexpected={unexpected[:3]}")
model.to(device).eval()
return model, cfg, train_meta
def load_test_samples(data_path: Path, n_total: int, shard_id: int = 0, num_shards: int = 1, seed: int = 0):
"""Choose a deterministic set of n_total samples using `seed`, then return shard `shard_id`."""
rng = np.random.default_rng(seed)
inputs = np.load(data_path / "test" / "all__inputs.npy")
labels = np.load(data_path / "test" / "all__labels.npy")
pid = np.load(data_path / "test" / "all__puzzle_identifiers.npy")
all_idx = rng.choice(len(inputs), size=n_total, replace=False)
shard_size = (n_total + num_shards - 1) // num_shards
s, e = shard_id * shard_size, min((shard_id + 1) * shard_size, n_total)
idx = all_idx[s:e]
return {
"inputs": torch.from_numpy(inputs[idx].astype(np.int32)),
"labels": torch.from_numpy(labels[idx].astype(np.int32)),
"puzzle_identifiers": torch.from_numpy(pid[idx].astype(np.int32)),
"idx": idx,
}
def inner_step(inner, z_H, z_L, input_embeddings, seq_info):
"""One *full* inner forward = H_cycles x L_cycles cycles, exactly mirroring the
training-time recursion but with gradient enabled throughout (we need Jacobians).
Returns the *new* (z_H, z_L) and a list of intermediate states.
The natural unit step we use for Lyapunov is one *L_level* application; the
extra H_level update at the end of each H_cycle is also included as a step.
"""
trajectory = [(z_H.detach().clone(), z_L.detach().clone())]
for _ in range(inner.config.H_cycles):
for _ in range(inner.config.L_cycles):
z_L = inner.L_level(z_L, z_H + input_embeddings, **seq_info)
trajectory.append((z_H.detach().clone(), z_L.detach().clone()))
z_H = inner.H_level(z_H, z_L, **seq_info)
trajectory.append((z_H.detach().clone(), z_L.detach().clone()))
return z_H, z_L, trajectory
def _flatten(z):
"""(B, seq, hidden) → (B, seq*hidden)."""
return z.reshape(z.shape[0], -1)
def _unflatten(v_flat, B, seq, hidden):
return v_flat.reshape(B, seq, hidden)
def jvp_apply_D(f, x, V):
"""Compute D_f(x) @ V where V has shape (B, state_dim, k).
Returns f(x) (computed once with the LAST tangent), plus stacked Dv with same shape as V.
We do k separate JVPs.
"""
B, state_dim, k = V.shape
out_list = []
fx_last = None
for i in range(k):
v_i = V[..., i].view_as(x) # (B, seq, hidden)
fx, Dv = torch.autograd.functional.jvp(f, x, v=v_i, create_graph=False, strict=False)
out_list.append(_flatten(Dv).to(torch.float32))
fx_last = fx
DV = torch.stack(out_list, dim=-1) # (B, state_dim, k)
return fx_last, DV
def run_diagnose_batch(model, batch, device, halt_max_steps, compute_lyap=True, k_lyap=8, t_ons=1, seed=0):
"""Run inference and collect trajectory + top-k Lyapunov for each sample in batch.
For Lyapunov: maintain an orthonormal basis Q of size (state_dim, k_lyap) per sample.
At each (h_cycle, l_cycle) step we apply D_t (the Jacobian of one L_level or H_level
update) via JVP, then QR-reorthonormalize every t_ons steps and accumulate log|R_ii|.
λ_i = (1/T) Σ_t log|R_ii(t)|.
"""
inner = model.inner
B = batch["inputs"].shape[0]
seq_full = train_meta_seq_full
hidden = inner.config.hidden_size
state_dim = seq_full * hidden
# Initialize carry
z_H = inner.H_init.unsqueeze(0).expand(B, seq_full, hidden).clone().to(inner.forward_dtype)
z_L = inner.L_init.unsqueeze(0).expand(B, seq_full, hidden).clone().to(inner.forward_dtype)
seq_info = dict(cos_sin=inner.rotary_emb() if hasattr(inner, "rotary_emb") else None)
input_embeddings = inner._input_embeddings(batch["inputs"].to(device),
batch["puzzle_identifiers"].to(device))
# Initialize orthonormal Q basis for top-k Lyapunov
if compute_lyap and k_lyap > 0:
torch.manual_seed(seed)
# Init random Gaussian then QR
Q0 = torch.randn(B, state_dim, k_lyap, device=device, dtype=torch.float32)
Q, _ = torch.linalg.qr(Q0) # Q: (B, state_dim, k_lyap), orthonormal columns
log_R_sum = torch.zeros(B, k_lyap, device=device, dtype=torch.float32)
n_lyap_steps = 0
step_counter = 0
drift_zH_per_step = []
drift_zL_per_step = []
halted_at = torch.zeros(B, dtype=torch.long, device=device)
q_halt_history = []
final_logits = None
for act_step in range(halt_max_steps):
z_H_prev = z_H.detach().clone()
z_L_prev = z_L.detach().clone()
if compute_lyap and k_lyap > 0:
with torch.enable_grad():
zH = z_H.detach()
zL = z_L.detach()
for _h in range(inner.config.H_cycles):
for _l in range(inner.config.L_cycles):
f = lambda x: inner.L_level(x, zH + input_embeddings, **seq_info)
zL_new, DV = jvp_apply_D(f, zL, Q) # DV: (B, state_dim, k)
Q = DV # evolved tangent
zL = zL_new
step_counter += 1
if step_counter % t_ons == 0:
Q, R = torch.linalg.qr(Q) # Q (B, state_dim, k), R (B, k, k)
log_R_sum += R.diagonal(dim1=-2, dim2=-1).abs().clamp_min(1e-30).log()
n_lyap_steps += 1
f = lambda x: inner.H_level(x, zL, **seq_info)
zH_new, DV = jvp_apply_D(f, zH, Q)
Q = DV
zH = zH_new
step_counter += 1
if step_counter % t_ons == 0:
Q, R = torch.linalg.qr(Q)
log_R_sum += R.diagonal(dim1=-2, dim2=-1).abs().clamp_min(1e-30).log()
n_lyap_steps += 1
z_H = zH
z_L = zL
else:
with torch.no_grad():
for _h in range(inner.config.H_cycles):
for _l in range(inner.config.L_cycles):
z_L = inner.L_level(z_L, z_H + input_embeddings, **seq_info)
z_H = inner.H_level(z_H, z_L, **seq_info)
drift_zH_per_step.append((z_H - z_H_prev).float().flatten(1).norm(dim=1).cpu())
drift_zL_per_step.append((z_L - z_L_prev).float().flatten(1).norm(dim=1).cpu())
with torch.no_grad():
q_logits = inner.q_head(z_H[:, 0]).float()
q_halt = q_logits[..., 0]; q_continue = q_logits[..., 1]
q_halt_history.append((q_halt.cpu(), q_continue.cpu()))
newly = (q_halt > q_continue) & (halted_at == 0)
halted_at[newly] = act_step + 1
output = inner.lm_head(z_H)[:, inner.puzzle_emb_len:].float()
final_logits = output
lyap_spec = (log_R_sum / max(n_lyap_steps, 1)).cpu().numpy() if (compute_lyap and k_lyap > 0) else None
with torch.no_grad():
preds = final_logits.argmax(dim=-1)
labels = batch["labels"].to(device)
mask = labels > 0
exact = ((preds == labels) | ~mask).all(dim=-1).cpu().float()
token_acc = ((preds == labels) & mask).sum(-1).float() / mask.sum(-1).float().clamp_min(1)
token_acc = token_acc.cpu()
return {
"drift_zH": torch.stack(drift_zH_per_step, dim=1).numpy(),
"drift_zL": torch.stack(drift_zL_per_step, dim=1).numpy(),
"halted_at": halted_at.cpu().numpy(),
"q_halt": torch.stack([h[0] for h in q_halt_history], dim=1).numpy(),
"q_continue": torch.stack([h[1] for h in q_halt_history], dim=1).numpy(),
"lyap_spec": lyap_spec, # (B, k_lyap)
"exact_correct": exact.numpy(),
"token_acc": token_acc.numpy(),
}
def main():
ap = argparse.ArgumentParser()
ap.add_argument("--ckpt-root", required=True,
help="path containing all_config.yaml and step_X")
ap.add_argument("--ckpt-name", default="step_26040")
ap.add_argument("--n-samples", type=int, default=5, help="total sample pool")
ap.add_argument("--shard-id", type=int, default=0)
ap.add_argument("--num-shards", type=int, default=1)
ap.add_argument("--batch-size", type=int, default=64)
ap.add_argument("--out", default="diagnose_out.npz")
ap.add_argument("--seed", type=int, default=0)
ap.add_argument("--no-lyap", action="store_true")
ap.add_argument("--k-lyap", type=int, default=8, help="top-k Lyapunov exponents to compute")
ap.add_argument("--t-ons", type=int, default=1, help="QR reorthonormalization interval")
args = ap.parse_args()
device = "cuda"
print(f"Loading model from {args.ckpt_root}/{args.ckpt_name} ...")
model, cfg, train_meta = load_model(Path(args.ckpt_root), args.ckpt_name, device)
global train_meta_seq_full
train_meta_seq_full = train_meta["seq_len"] + model.inner.puzzle_emb_len
print(f" hidden={model.inner.config.hidden_size}, seq_full={train_meta_seq_full}, "
f"halt_max_steps={model.inner.config.halt_max_steps}, "
f"H_cycles={model.inner.config.H_cycles}, L_cycles={model.inner.config.L_cycles}")
test_samples = load_test_samples(Path(cfg["data_path"]), args.n_samples,
shard_id=args.shard_id, num_shards=args.num_shards,
seed=args.seed)
n_this_shard = len(test_samples['inputs'])
print(f"Loaded shard {args.shard_id}/{args.num_shards}: {n_this_shard} samples")
results = {k: [] for k in ["drift_zH","drift_zL","halted_at","q_halt","q_continue",
"lyap_spec","exact_correct","token_acc","idx"]}
t0 = time.time()
for s in range(0, n_this_shard, args.batch_size):
e = min(s + args.batch_size, n_this_shard)
batch = {k: test_samples[k][s:e].to(device)
for k in ["inputs","labels","puzzle_identifiers"]}
out = run_diagnose_batch(
model, batch, device,
halt_max_steps=model.inner.config.halt_max_steps,
compute_lyap=not args.no_lyap, k_lyap=args.k_lyap, t_ons=args.t_ons,
seed=args.seed + s,
)
for k, v in out.items():
if v is not None:
results[k].append(v)
results["idx"].append(test_samples["idx"][s:e])
lyap_str = (f" lyap_max={out['lyap_spec'][:,0].mean():.4f} "
f"lyap_min={out['lyap_spec'][:,-1].mean():.4f}"
if out["lyap_spec"] is not None else "")
print(f" [{e}/{n_this_shard}] dt={time.time()-t0:.1f}s "
f"exact={out['exact_correct'].mean():.3f}{lyap_str}", flush=True)
# Stack
saved = {}
for k, v in results.items():
if not v: continue
try:
saved[k] = np.concatenate(v, axis=0)
except ValueError:
saved[k] = np.stack(v, axis=0)
np.savez_compressed(args.out, **saved)
print(f"saved to {args.out}")
print(f"summary:")
print(f" N={len(saved['exact_correct'])} acc={saved['exact_correct'].mean():.3f}")
if "lyap_spec" in saved:
ls = saved["lyap_spec"] # (N, k)
succ = saved["exact_correct"] > 0.5
print(f" lyap_spec shape: {ls.shape}")
for i in range(ls.shape[1]):
li = ls[:, i]
print(f" λ_{i+1}: overall={li.mean():+.4f}±{li.std():.4f} "
f"succ={li[succ].mean():+.4f} fail={li[~succ].mean():+.4f} "
f"Δ={li[~succ].mean()-li[succ].mean():+.4f}")
if __name__ == "__main__":
main()
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