| """ |
| Cross-architecture "memory length" figure. |
| |
| Hold the readout fixed: for every sequence we always look at the SAME prediction |
| -- the distribution that predicts the token at --readout_pos. Then we perturb ONE |
| earlier path-step token at a time (positions from --flip_start up to readout_pos-1, |
| one position per trial) and measure KL(clean || perturbed) on that single fixed |
| readout. |
| |
| Because the readout position (hence the context length) never changes, every |
| perturbation is measured under the same length, avoiding the 1/length dilution of |
| the older "flip-once read-everywhere" test (a flip in a length-20 context counts |
| ~1/20, in length-80 ~1/80). A model that keeps a far token alive shows a high, flat |
| curve; a recent-steps shortcut decays fast. |
| |
| The x-axis is the distance back from the readout, j = readout_pos - flipped position. |
| |
| One run draws all six architectures together: |
| Transformer, Nextlat (transformer-nextlat), Mamba, Mamba-2, Gated-Delta, GRU |
| |
| Per-architecture configs are set manually via --tf_config (transformer family) and |
| --rec_config (recurrent / SSM family). Supports Task A/C/E/H/I. |
| |
| Gated-Delta needs the dedicated `fla` conda env (flash-linear-attention + triton). |
| To include it, run this whole script in that env, e.g.: |
| PYTHONNOUSERSITE=1 conda run -n fla python maze_vis_memory.py ... |
| Any model whose checkpoint is missing or fails to load is skipped with a warning. |
| |
| Example (Task A): |
| conda run -n fla python maze_vis_memory.py --tasks A1 \ |
| --tf_config 3_1_256 --rec_config 6_256 --num_train 500K \ |
| --ckpt_iter 10000 --flip_start 10 --readout_pos 90 |
| """ |
|
|
| import os |
| import sys |
| import glob |
| import pickle |
| import argparse |
| import importlib |
|
|
| import numpy as np |
| import torch |
| import matplotlib |
| matplotlib.use('Agg') |
| import matplotlib.pyplot as plt |
|
|
| from model.transformer import GPTConfig, GPT |
| from model.transformer_rope import GPTRoPEConfig, GPTRoPE |
| from model.transformer_nextlat import TransformerNextLatConfig, TransformerNextLat |
| from model.mamba import MambaConfig, Mamba |
| from model.mamba2 import Mamba2Config, Mamba2 |
| from model.gated_deltanet import GatedDeltaNetConfig, GatedDeltaNet |
| from model.gru import GRUConfig, GRU |
| from cli_utils import parse_count, format_count |
|
|
|
|
| def _ensure_numpy_core_alias(): |
| """Alias numpy.core <-> numpy._core so pickled checkpoints load regardless of |
| the NumPy major version they were saved with. NumPy 2.0 renamed the private |
| ``numpy.core`` package to ``numpy._core``; old pickles reference one name and |
| new ones the other, so we register whichever is missing.""" |
| for src, dst in (('numpy._core', 'numpy.core'), ('numpy.core', 'numpy._core')): |
| try: |
| mod = importlib.import_module(src) |
| except Exception: |
| continue |
| sys.modules.setdefault(dst, mod) |
| for sub in ('multiarray', 'numeric', '_multiarray_umath', 'umath'): |
| try: |
| m = importlib.import_module(f'{src}.{sub}') |
| except Exception: |
| continue |
| sys.modules.setdefault(f'{dst}.{sub}', m) |
|
|
|
|
| def build_model(model_type, model_args): |
| """Instantiate the architecture named by ``model_type`` from a model_args dict. |
| The model is returned on CPU; callers move it to the target device.""" |
| if model_type == 'mamba': |
| return Mamba(MambaConfig(**model_args)) |
| if model_type == 'mamba2': |
| return Mamba2(Mamba2Config(**model_args)) |
| if model_type == 'gated-deltanet': |
| return GatedDeltaNet(GatedDeltaNetConfig(**model_args)) |
| if model_type == 'gru': |
| return GRU(GRUConfig(**model_args)) |
| if model_type == 'transformer-nextlat': |
| return TransformerNextLat(TransformerNextLatConfig(**model_args)) |
| if model_type == 'transformer-rope': |
| return GPTRoPE(GPTRoPEConfig(**model_args)) |
| return GPT(GPTConfig(**model_args)) |
|
|
|
|
| def full_logits_any(model, idx): |
| """Return full per-position logits (B, L, V) for any architecture. |
| |
| Every model here only projects the last position when called without targets |
| (an inference-time optimization), so we pass ``targets=idx`` to force the |
| lm_head over all positions. The returned loss is ignored.""" |
| out = model(idx, targets=idx) |
| return out[0] if isinstance(out, (tuple, list)) else out |
|
|
|
|
| def collect_sequences(seq_path, stoi, readout_pos, num_seqs): |
| """Load up to ``num_seqs`` tokenized sequences that are at least ``readout_pos`` |
| tokens long. Returns a list of (ids_list, colon_index) where colon_index is the |
| position of the ':' separator token in the sequence.""" |
| seqs = [] |
| with open(seq_path) as f: |
| for line in f: |
| parts = line.split() |
| if ':' not in parts: |
| continue |
| colon = parts.index(':') |
| try: |
| ids = [stoi[t] for t in parts] |
| except KeyError: |
| continue |
| if len(ids) < readout_pos: |
| continue |
| seqs.append((ids, colon)) |
| if len(seqs) >= num_seqs: |
| break |
| return seqs |
|
|
|
|
| _ensure_numpy_core_alias() |
|
|
|
|
| |
| |
| MODELS = [ |
| ('Transformer', 'transformer', 'tf', ''), |
| ('Nextlat', 'transformer-nextlat', 'tf', 'NL'), |
| ('Mamba', 'mamba', 'rec', ''), |
| ('Mamba-2', 'mamba2', 'rec', ''), |
| ('Gated-Delta', 'gated-deltanet', 'rec', ''), |
| ('GRU', 'gru', 'rec', ''), |
| ] |
|
|
|
|
| def parse_args(): |
| p = argparse.ArgumentParser(description='Cross-architecture memory-length figure (Task A/C/E/H/I).') |
| p.add_argument('--tasks', type=str, default='A1', help='Task tag, e.g. A1, C1, E1, H1, I1.') |
| p.add_argument('--tf_config', type=str, default='3_1_256', |
| help='Config for the transformer family (layers_heads_dim), e.g. 3_1_256 or 12_12_576.') |
| p.add_argument('--rec_config', type=str, default='6_256', |
| help='Config for the recurrent/SSM family (layers_dim), e.g. 6_256 or 24_576.') |
| p.add_argument('--num_train', type=parse_count, default='500K') |
| p.add_argument('--ckpt_iter', type=int, default=10000) |
| p.add_argument('--path_type', type=str, default='RWs') |
| p.add_argument('--num_nodes', type=int, default=100) |
| p.add_argument('--dataset', type=str, default='maze') |
| p.add_argument('--device', type=str, default='cuda:0') |
| p.add_argument('--split', type=str, default='train', choices=['test', 'train']) |
| p.add_argument('--test_size', type=str, default='10K') |
| |
| p.add_argument('--flip_start', type=int, default=10, |
| help='Start perturbing from this token position, then sweep one position ' |
| 'at a time up to readout_pos-1.') |
| p.add_argument('--readout_pos', type=int, default=90, |
| help='Always read the prediction of the token at this position; only this ' |
| 'one fixed prediction is measured.') |
| p.add_argument('--num_seqs', type=int, default=400) |
| p.add_argument('--batch_size', type=int, default=384) |
| p.add_argument('--seed', type=int, default=0) |
| p.add_argument('--init_seed', type=int, default=1337, |
| help='Seed for the random init used when --ckpt_iter 0 (untrained baseline).') |
| p.add_argument('--out_dir', type=str, default='out/plot') |
| return p.parse_args() |
|
|
|
|
| def load_model(model_type, config, suffix, args, device): |
| out_dir = f"out/{model_type.replace('-', '_')}/{args.dataset}_{config}_{args.num_nodes}" |
| train_label = format_count(args.num_train) |
| tag = f'{args.tasks}_{args.path_type}' + (f'_{suffix}' if suffix else '') |
| if args.ckpt_iter == 0: |
| return load_untrained_model(out_dir, tag, train_label, model_type, args, device) |
| ckpt_path = os.path.join(out_dir, f'{args.ckpt_iter}_ckpt_maze_{tag}_{train_label}.pt') |
| print(f'[{model_type}/{config}] loading {ckpt_path}') |
| ckpt = torch.load(ckpt_path, map_location=device, weights_only=False) |
| mt = ckpt.get('model_type', model_type) |
| model = build_model(mt, ckpt['model_args']).to(device) |
| model.load_state_dict({k.replace('_orig_mod.', ''): v for k, v in ckpt['model'].items()}) |
| model.eval() |
| return model |
|
|
|
|
| def load_untrained_model(out_dir, tag, train_label, model_type, args, device): |
| """Build a randomly-initialized (iter-0) baseline from a reference checkpoint's model_args.""" |
| pattern = os.path.join(out_dir, f'*_ckpt_maze_{tag}_{train_label}.pt') |
| candidates = [p for p in glob.glob(pattern) |
| if not os.path.basename(p).startswith('0_ckpt_')] |
| if not candidates: |
| raise FileNotFoundError( |
| f'No reference checkpoint matching {pattern} to infer model_args for iter 0.') |
| ref_path = sorted(candidates)[0] |
| print(f'[{model_type}/{tag}] iter 0 baseline from model_args of {ref_path}') |
| ckpt = torch.load(ref_path, map_location='cpu', weights_only=False) |
| mt = ckpt.get('model_type', model_type) |
| torch.manual_seed(args.init_seed) |
| if torch.cuda.is_available(): |
| torch.cuda.manual_seed(args.init_seed) |
| model = build_model(mt, ckpt['model_args']).to(device) |
| model.eval() |
| return model |
|
|
|
|
| def fixed_readout_perturb(model, seqs, args, device, index_ids): |
| """Hold the readout position fixed and perturb ONE earlier token at a time. |
| |
| For every sequence we always read the SAME prediction -- the distribution that |
| predicts the token at --readout_pos (conditioned on the tokens before it). We |
| then flip a single path-step token at position p (for p from --flip_start up to |
| readout_pos-1) and measure KL(clean || perturbed) on that one fixed readout. |
| |
| Because the readout position (hence the context length) never changes, this |
| removes the 1/length dilution confound of the persistence test. Returns |
| (js, kl_mean) with j = readout_pos - p (distance back from the readout) and |
| kl_mean[j] = mean KL over sequences and alternative flips. |
| |
| All perturbed contexts (across every sequence, position and alternative) are |
| pooled into one big set and run through the model in batches of --batch_size, |
| rather than one sequence at a time -- so the GPU stays saturated. |
| """ |
| R = args.readout_pos |
| start = args.flip_start |
| index_set = set(index_ids) |
|
|
| |
| bases = [] |
| seq_meta = [] |
| for ids_list, colon in seqs: |
| if len(ids_list) < R: |
| continue |
| bases.append(ids_list[:R]) |
| seq_meta.append((colon, ids_list)) |
| if not bases: |
| return np.arange(R), np.full(R, np.nan) |
| bases = np.asarray(bases, dtype=np.int64) |
| S = bases.shape[0] |
|
|
| def _forward_batched(rows_np): |
| """rows_np: (N, R) int64 -> softmax over the readout position, (N, V).""" |
| outs = [] |
| for b in range(0, rows_np.shape[0], args.batch_size): |
| chunk = torch.from_numpy(rows_np[b:b + args.batch_size]).to(device) |
| with torch.no_grad(): |
| lg = full_logits_any(model, chunk) |
| outs.append(torch.softmax(lg[:, R - 1, :], dim=-1)) |
| return torch.cat(outs, 0) |
|
|
| |
| clean_all = _forward_batched(bases) |
|
|
| |
| seq_idx, pair_of, pair_p = [], [], [] |
| triples = [] |
| pid = -1 |
| for i, (colon, ids_list) in enumerate(seq_meta): |
| lo = max(start, colon + 1) |
| for p in range(lo, R): |
| orig = ids_list[p] |
| if orig not in index_set: |
| continue |
| pid += 1 |
| pair_p.append(p) |
| for alt in index_ids: |
| if alt == orig: |
| continue |
| triples.append((i, p, alt)) |
| seq_idx.append(i) |
| pair_of.append(pid) |
| if not triples: |
| return np.arange(R), np.full(R, np.nan) |
|
|
| rows_np = bases[[t[0] for t in triples]].copy() |
| for k, (_, p, alt) in enumerate(triples): |
| rows_np[k, p] = alt |
| seq_idx = np.asarray(seq_idx) |
| pair_of = np.asarray(pair_of) |
| pair_p = np.asarray(pair_p) |
| n_pairs = pid + 1 |
|
|
| |
| pair_sum = np.zeros(n_pairs) |
| pair_cnt = np.zeros(n_pairs) |
| for b in range(0, rows_np.shape[0], args.batch_size): |
| chunk = torch.from_numpy(rows_np[b:b + args.batch_size]).to(device) |
| with torch.no_grad(): |
| lg = full_logits_any(model, chunk) |
| pert = torch.softmax(lg[:, R - 1, :], dim=-1) |
| cl = clean_all[seq_idx[b:b + args.batch_size]] |
| kl = (cl * (torch.log(cl + 1e-12) - torch.log(pert + 1e-12))).sum(-1).cpu().numpy() |
| po = pair_of[b:b + args.batch_size] |
| np.add.at(pair_sum, po, kl) |
| np.add.at(pair_cnt, po, 1) |
|
|
| |
| pair_mean = pair_sum / np.maximum(pair_cnt, 1) |
| kl_sum = np.zeros(R) |
| cnt = np.zeros(R) |
| for pid_i in range(n_pairs): |
| j = R - pair_p[pid_i] |
| kl_sum[j] += pair_mean[pid_i] |
| cnt[j] += 1 |
| js = np.arange(R) |
| kl_mean = np.where(cnt > 0, kl_sum / np.maximum(cnt, 1), np.nan) |
| return js, kl_mean |
|
|
|
|
| def main(): |
| args = parse_args() |
| device = args.device if torch.cuda.is_available() else 'cpu' |
|
|
| data_path = f'data/{args.dataset}/{args.num_nodes}' |
| with open(f'{data_path}/meta_{args.tasks}_{args.path_type}.pkl', 'rb') as f: |
| meta = pickle.load(f) |
| stoi = meta['stoi'] |
|
|
| train_label = format_count(args.num_train) |
| if args.split == 'train': |
| seq_path = f'{data_path}/train_{args.tasks}_{args.path_type}_{train_label}.txt' |
| else: |
| seq_path = f'{data_path}/test_{args.tasks}_{args.path_type}_{args.test_size}.txt' |
| seqs = collect_sequences(seq_path, stoi, args.readout_pos, args.num_seqs) |
| print(f'Using {len(seqs)} {args.split} sequences (> {args.readout_pos} tokens)') |
| if not seqs: |
| raise SystemExit(f'No sequences longer than readout_pos={args.readout_pos} in {seq_path}; ' |
| f'lower --readout_pos.') |
|
|
| |
| |
| |
| move_ids = set() |
| for ids_list, colon in seqs: |
| move_ids.update(ids_list[colon + 1:args.readout_pos]) |
| index_ids = sorted(move_ids) |
| itos = {v: k for k, v in stoi.items()} |
| print(f'Path-step alphabet ({len(index_ids)}): {[itos.get(i, i) for i in index_ids]}') |
|
|
| results = {} |
| for display, model_type, kind, suffix in MODELS: |
| config = args.tf_config if kind == 'tf' else args.rec_config |
| label = f'{display} {config}' |
| try: |
| model = load_model(model_type, config, suffix, args, device) |
| except FileNotFoundError: |
| print(f' ! skip {label}: checkpoint not found') |
| continue |
| except ImportError as e: |
| print(f' ! skip {label}: {e}') |
| continue |
| js, kl_mean = fixed_readout_perturb(model, seqs, args, device, index_ids) |
| kl1 = float(np.nan_to_num(kl_mean)[1]) if kl_mean.size > 1 else float('nan') |
| results[label] = dict(js=js, kl=np.nan_to_num(kl_mean), kl1=kl1) |
| print(f' {label}: KL@(j=1)={kl1:.3f}') |
| del model |
| if device.startswith('cuda'): |
| torch.cuda.empty_cache() |
|
|
| if not results: |
| raise SystemExit('No models loaded; nothing to plot.') |
|
|
| os.makedirs(args.out_dir, exist_ok=True) |
| tag = (f'{args.tasks}_{train_label}_{args.tf_config}_{args.rec_config}' |
| f'_{args.path_type}_ckpt{args.ckpt_iter}_read{args.readout_pos}_{args.split}') |
| fig, ax = plt.subplots(figsize=(8.5, 5.5)) |
| colors = plt.cm.tab10(np.linspace(0, 1, max(len(results), 3))) |
| jmax = args.readout_pos - args.flip_start |
| for (label, r), c in zip(results.items(), colors): |
| m = (r['js'] >= 1) & (r['js'] <= jmax) |
| ax.plot(r['js'][m], r['kl'][m], '-', color=c, lw=2, label=label) |
| ax.set_xlabel(f'distance back from the fixed readout at token {args.readout_pos} ' |
| f'(j = {args.readout_pos} - flipped position)') |
| ax.set_ylabel('effect on the fixed prediction: KL(clean || perturbed)') |
| ax.set_title(f'Single-token influence on a fixed readout, Task {args.tasks} ' |
| f'({train_label}, {args.split})') |
| ax.set_xlim(1, jmax) |
| ax.set_ylim(bottom=0) |
| ax.legend() |
| ax.grid(alpha=0.3) |
| fig.tight_layout() |
| png = os.path.join(args.out_dir, f'memory_{tag}.png') |
| fig.savefig(png, dpi=130) |
| print(f'Wrote {png}') |
| npz = os.path.join(args.out_dir, f'memory_{tag}.npz') |
| np.savez(npz, **{label: np.stack([r['js'], r['kl']]) for label, r in results.items()}) |
| print(f'Wrote {npz}') |
|
|
|
|
| if __name__ == '__main__': |
| main() |
|
|