1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
|
"""Train SRM-Joint-AOL from scratch on Sudoku 1k (or any HRM-format dataset).
By construction the SRM joint step is ≤ κ-Lipschitz in P-norm, so this trainer
uses ONLY supervised ACT loss — no CF regularizer needed. λ_1 is logged as
a diagnostic; it should stay ≤ log((1-α)+α·κ) per micro-step (e.g. -0.105 for κ=0.9, α=1).
Usage (run from /home/yurenh2/rrm/srm/):
python scripts/train_srm.py --n-steps 3000 --batch-size 8 \
--out runs/srm_v1_sudoku_3k.json \
--save-ckpt ckpts/srm_v1_3k.pt
"""
from __future__ import annotations
import sys, os, json, math, time, argparse
from pathlib import Path
import numpy as np
import torch
ROOT = Path("/home/yurenh2/rrm/srm")
sys.path.insert(0, str(ROOT))
from models.srm.srm_aol_v1 import (
StableRecursionModel_ACTV1,
StableRecursionModel_ACTV1_Inner,
measure_lipschitz_constant,
)
from models.losses import ACTLossHead
from models.sparse_embedding import CastedSparseEmbeddingSignSGD_Distributed
from adam_atan2 import AdamATan2
def build_srm_from_scratch(data_path: Path, batch_size: int, device: str,
hidden_size: int = 512,
n_iters: int = 12,
n_aol_layers: int = 2,
kappa: float = 0.9,
eta: float = 1.0,
alpha: float = 1.0):
train_meta = json.loads((data_path / "train" / "dataset.json").read_text())
arch_cfg = dict(
hidden_size=hidden_size,
n_iters=n_iters,
n_aol_layers=n_aol_layers,
kappa=kappa, eta=eta, alpha=alpha,
halt_max_steps=16, halt_exploration_prob=0.1,
puzzle_emb_ndim=hidden_size,
batch_size=batch_size,
vocab_size=train_meta["vocab_size"],
seq_len=train_meta["seq_len"],
num_puzzle_identifiers=train_meta["num_puzzle_identifiers"],
forward_dtype="bfloat16",
)
with torch.device(device):
base = StableRecursionModel_ACTV1(arch_cfg)
head = ACTLossHead(base, loss_type="stablemax_cross_entropy")
return head, base, train_meta
@torch.no_grad()
def compute_joint_lyap_spec_srm(inner: StableRecursionModel_ACTV1_Inner, batch, k_lyap, n_iters_for_lyap,
device, seed):
"""Top-k joint Lyapunov spectrum for SRM dynamics.
Tangent: at each step the Jacobian J = ∂T/∂(h,l) is applied to all k orthonormal
columns via JVP. Then QR re-orthogonalize.
"""
cfg = inner.config
B = batch["inputs"].shape[0]
seq_full = cfg.seq_len + inner.puzzle_emb_len
hidden = cfg.hidden_size
D = seq_full * hidden
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)
input_emb = inner._input_embeddings(batch["inputs"], batch["puzzle_identifiers"])
g = torch.Generator(device=device).manual_seed(seed)
Q0 = torch.randn(B, 2 * D, k_lyap, device=device, dtype=torch.float32, generator=g)
Q, _ = torch.linalg.qr(Q0)
log_R_sum = torch.zeros(B, k_lyap, device=device, dtype=torch.float32)
n_steps_lyap = 0
for _ in range(n_iters_for_lyap):
# JVP through srm_block w.r.t. (z_H, z_L) — one tangent column at a time
new_cols = []
for i in range(k_lyap):
v_H = Q[:, :D, i].reshape(B, seq_full, hidden).to(inner.forward_dtype)
v_L = Q[:, D:, i].reshape(B, seq_full, hidden).to(inner.forward_dtype)
def f(zH_zL):
zH, zL = zH_zL[:, :hidden, :].permute(0, 2, 1).contiguous(), zH_zL[:, hidden:, :].permute(0, 2, 1).contiguous()
hN, lN = inner.srm_block(zH, zL, input_emb)
return torch.stack([hN, lN], dim=1).reshape(B, 2 * hidden, seq_full)
# Easier: use 2 JVPs separately if function takes (h, l)
def f_joint(zH, zL):
return inner.srm_block(zH, zL, input_emb)
(hN, lN), (dh_out, dl_out) = torch.autograd.functional.jvp(
f_joint, (z_H, z_L), v=(v_H, v_L), create_graph=False, strict=False)
dh_col = dh_out.reshape(B, D).to(torch.float32)
dl_col = dl_out.reshape(B, D).to(torch.float32)
new_cols.append(torch.cat([dh_col, dl_col], dim=-1))
Q = torch.stack(new_cols, dim=-1) # (B, 2D, k)
# Advance state
z_H, z_L = hN, lN
# Orthonormalize
Q, R = torch.linalg.qr(Q)
log_R_sum = log_R_sum + R.diagonal(dim1=-2, dim2=-1).abs().clamp_min(1e-30).log()
n_steps_lyap += 1
return log_R_sum / max(n_steps_lyap, 1) # (B, k)
def load_train_batches(data_path: Path, batch_size: int, n_iters: int, seed: int = 0):
rng = np.random.default_rng(seed)
inputs = np.load(data_path / "train" / "all__inputs.npy")
labels = np.load(data_path / "train" / "all__labels.npy")
pid = np.load(data_path / "train" / "all__puzzle_identifiers.npy")
N = len(inputs)
for _ in range(n_iters):
idx = rng.choice(N, size=batch_size, replace=False)
yield {
"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)),
}
def evaluate(head, base, data_path, n_samples, batch_size, device, seed=42):
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")
idx_all = rng.choice(len(inputs), size=n_samples, replace=False)
head.eval()
correct = 0; token_correct = 0; token_total = 0
for s in range(0, n_samples, batch_size):
e = min(s + batch_size, n_samples)
idx = idx_all[s:e]
batch = {
"inputs": torch.from_numpy(inputs[idx].astype(np.int32)).to(device),
"labels": torch.from_numpy(labels[idx].astype(np.int32)).to(device),
"puzzle_identifiers": torch.from_numpy(pid[idx].astype(np.int32)).to(device),
}
with torch.no_grad():
with torch.device(device):
carry = base.initial_carry(batch)
for _ in range(base.config.halt_max_steps):
carry, outputs = base(carry=carry, batch=batch)
preds = outputs["logits"].argmax(dim=-1)
mask = batch["labels"] > 0
exact = ((preds == batch["labels"]) | ~mask).all(dim=-1).float()
correct += exact.sum().item()
token_correct += ((preds == batch["labels"]) & mask).sum().item()
token_total += mask.sum().item()
return correct / n_samples, token_correct / max(token_total, 1)
def warmup_constant_lr(step, base_lr, warmup):
return base_lr * step / max(1, warmup) if step < warmup else base_lr
def main():
ap = argparse.ArgumentParser()
ap.add_argument("--data-path", default="/home/yurenh2/rrm/data/sudoku-extreme-1k-aug-1000")
ap.add_argument("--n-steps", type=int, default=3000)
ap.add_argument("--batch-size", type=int, default=8)
ap.add_argument("--lr", type=float, default=1e-4)
ap.add_argument("--puzzle-emb-lr", type=float, default=1e-4)
ap.add_argument("--warmup-steps", type=int, default=200)
ap.add_argument("--weight-decay", type=float, default=1.0)
# SRM specific
ap.add_argument("--hidden-size", type=int, default=512)
ap.add_argument("--n-iters", type=int, default=12)
ap.add_argument("--n-aol-layers", type=int, default=2)
ap.add_argument("--kappa", type=float, default=0.9)
ap.add_argument("--eta", type=float, default=1.0)
ap.add_argument("--alpha", type=float, default=1.0)
# Diagnostic
ap.add_argument("--k-lyap", type=int, default=2)
ap.add_argument("--lyap-iters", type=int, default=8, help="number of SRM steps for Lyapunov measurement")
ap.add_argument("--lyap-every", type=int, default=50, help="measure Lyapunov every N steps (expensive)")
# Eval / logging
ap.add_argument("--seed", type=int, default=42)
ap.add_argument("--eval-every", type=int, default=250)
ap.add_argument("--eval-n", type=int, default=512)
ap.add_argument("--eval-batch-size", type=int, default=32)
ap.add_argument("--out", required=True)
ap.add_argument("--save-ckpt", default="")
args = ap.parse_args()
device = "cuda"
torch.manual_seed(args.seed); np.random.seed(args.seed)
data_path = Path(args.data_path)
head, base, train_meta = build_srm_from_scratch(
data_path, args.batch_size, device,
hidden_size=args.hidden_size, n_iters=args.n_iters,
n_aol_layers=args.n_aol_layers,
kappa=args.kappa, eta=args.eta, alpha=args.alpha,
)
n_params = sum(p.numel() for p in head.parameters())
print(f"Built SRM-AOL from scratch | params={n_params:,} | "
f"hidden={args.hidden_size} n_iters={args.n_iters} n_aol={args.n_aol_layers} "
f"κ={args.kappa} η={args.eta} α={args.alpha}")
puzzle_emb_opt = CastedSparseEmbeddingSignSGD_Distributed(
base.inner.puzzle_emb.buffers(), lr=0,
weight_decay=args.weight_decay, world_size=1,
)
main_opt = AdamATan2(head.parameters(), lr=0, betas=(0.9, 0.95), weight_decay=args.weight_decay)
# Initial eval (random init baseline) + Lipschitz check
acc0, tacc0 = evaluate(head, base, data_path, args.eval_n, args.eval_batch_size, device)
print(f"=== step 0 (random init): exact_acc = {acc0:.4f} token_acc = {tacc0:.4f} ===")
# Sample one batch for the initial Lipschitz check
probe_batch = next(load_train_batches(data_path, args.batch_size, 1, seed=999))
probe_batch = {k: v.to(device) for k, v in probe_batch.items()}
lip0 = measure_lipschitz_constant(base.inner, probe_batch, n_probes=32)
print(f" Lip init: emp_max={lip0['lip_emp_max']:.4f} bound={lip0['lip_theoretical_bound']:.4f}")
log = {
"args": vars(args), "n_params": n_params,
"initial_acc": acc0, "initial_tok_acc": tacc0,
"initial_lip": lip0,
"steps": [], "evals": [],
}
log["evals"].append({"step": 0, "acc": acc0, "tok_acc": tacc0})
t0 = time.time()
train_iter = load_train_batches(data_path, args.batch_size, args.n_steps, seed=args.seed)
for step, batch in enumerate(train_iter):
batch = {k: v.to(device) for k, v in batch.items()}
cur_lr = warmup_constant_lr(step, args.lr, args.warmup_steps)
cur_pe_lr = warmup_constant_lr(step, args.puzzle_emb_lr, args.warmup_steps)
for pg in main_opt.param_groups: pg["lr"] = cur_lr
for pg in puzzle_emb_opt.param_groups: pg["lr"] = cur_pe_lr
head.train()
with torch.device(device):
carry = base.initial_carry(batch)
sup_loss_sum = 0.0; n_loss = 0
for _ in range(base.config.halt_max_steps):
carry, l, metrics, _, all_finish = head(return_keys=[], carry=carry, batch=batch)
sup_loss_sum = sup_loss_sum + l
n_loss += 1
if all_finish: break
sup_loss = sup_loss_sum / max(n_loss, 1) / args.batch_size
puzzle_emb_opt.zero_grad(set_to_none=True)
main_opt.zero_grad(set_to_none=True)
sup_loss.backward()
torch.nn.utils.clip_grad_norm_([p for p in head.parameters() if p.requires_grad], 1.0)
main_opt.step()
puzzle_emb_opt.step()
rec = {"step": step, "lr": cur_lr, "sup_loss": float(sup_loss.item())}
# Lyapunov diagnostic (every lyap_every steps)
if step % args.lyap_every == 0:
lyap_spec = compute_joint_lyap_spec_srm(
base.inner, batch, k_lyap=args.k_lyap,
n_iters_for_lyap=args.lyap_iters,
device=device, seed=args.seed + step,
) # (B, k)
rec["lyap1_mean"] = float(lyap_spec[:, 0].mean().item())
rec["lyap1_max"] = float(lyap_spec[:, 0].max().item())
rec["lyap_spec_mean"] = lyap_spec.mean(dim=0).cpu().tolist()
log_kappa_bound = math.log((1 - args.alpha) + args.alpha * args.kappa)
rec["lyap_bound"] = log_kappa_bound
log["steps"].append(rec)
if step % 25 == 0 or step == args.n_steps - 1:
extra = f" λ={rec.get('lyap1_mean', float('nan')):+.4f} max={rec.get('lyap1_max', float('nan')):+.4f}" if "lyap1_mean" in rec else ""
print(f" [{step:>4}/{args.n_steps}] dt={time.time()-t0:.0f}s lr={cur_lr:.1e} "
f"sup={rec['sup_loss']:.4f}{extra}", flush=True)
if (step + 1) % args.eval_every == 0 or step == args.n_steps - 1:
acc, tacc = evaluate(head, base, data_path, args.eval_n, args.eval_batch_size, device)
print(f" >> EVAL @ {step+1}: exact_acc={acc:.4f} tok_acc={tacc:.4f} "
f"(Δ init: {acc-acc0:+.4f})", flush=True)
log["evals"].append({"step": step + 1, "acc": acc, "tok_acc": tacc})
log["final_acc"] = log["evals"][-1]["acc"]
log["final_tok_acc"] = log["evals"][-1]["tok_acc"]
Path(args.out).parent.mkdir(parents=True, exist_ok=True)
Path(args.out).write_text(json.dumps(log, indent=2))
print(f"\n=== DONE === init {acc0:.4f} → final {log['final_acc']:.4f} log → {args.out}")
if args.save_ckpt:
Path(args.save_ckpt).parent.mkdir(parents=True, exist_ok=True)
torch.save({
"state_dict": head.state_dict(),
"args": vars(args),
"n_steps_trained": args.n_steps,
"final_acc": log["final_acc"],
"n_params": n_params,
}, args.save_ckpt)
print(f"checkpoint → {args.save_ckpt}")
if __name__ == "__main__":
main()
|