WorldModelForMaze / maze_vis_memory_trajectory.py
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"""
Training-trajectory "memory length" figure.
For each saved checkpoint (e.g. every 500 iters), run the fixed-readout single-token
perturbation test (same as maze_vis_memory.py): always read ONE fixed prediction --
the token at --readout_pos -- and perturb ONE earlier path-step token at a time
(positions from --flip_start up to readout_pos-1), measuring KL(clean || perturbed)
on that fixed readout as a function of the distance back j = readout_pos - position.
Because the readout position never changes, every perturbation is measured under the
same context length (no 1/length dilution). That whole KL-vs-j curve is reduced to a
single scalar "effective memory length":
L = first distance j where the KL curve drops below the absolute threshold
--halflife_kl (default 0.1), linearly interpolated.
L tells you, on average, how many tokens back a perturbation's influence still
reaches -- i.e. how many previous tokens the model effectively attends to.
A recency-shortcut model stays at L ~ 1-2; a global state-tracker grows L large.
Plotting L against the training iteration shows the LEARNING DYNAMICS:
- early checkpoints sit at small L -> model first learns to look ~1 token back
- whether L later grows or stays flat -> does it escape the recency shortcut?
Overlay the train-loss curve to see whether loss saturates BEFORE L grows
(i.e. the recency shortcut already drives loss low while global state is unlearned).
Same model set / config flags as maze_vis_memory.py. The two knobs are --flip_start
(default 10) and --readout_pos (default 90). Sweep checkpoints with
--iters "500,1000,...,10000" or --iter_start/--iter_end/--iter_step. Missing
checkpoints are skipped.
Gated-Delta needs the dedicated `fla` conda env. Run the whole script there:
PYTHONNOUSERSITE=1 conda run -n fla python maze_vis_memory_trajectory.py ...
Example:
PYTHONNOUSERSITE=1 conda run -n fla python maze_vis_memory_trajectory.py \
--tasks C1 --tf_config 6_6_384 --rec_config 12_384 --num_train 10M \
--iter_start 500 --iter_end 10000 --iter_step 500 --flip_start 10 --readout_pos 90
"""
import os
import pickle
import argparse
import numpy as np
import torch
import matplotlib
matplotlib.use('Agg')
import matplotlib.pyplot as plt
from maze_vis_memory import (
_ensure_numpy_core_alias,
build_model,
full_logits_any,
collect_sequences,
fixed_readout_perturb,
)
from cli_utils import parse_count, format_count
_ensure_numpy_core_alias()
# (display label, model_type, config_kind 'tf'|'rec', checkpoint suffix)
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='Memory-length vs training-iteration trajectory.')
p.add_argument('--tasks', type=str, default='C1', help='Task tag, e.g. A1, C1, E1, H1, I1.')
p.add_argument('--tf_config', type=str, default='6_6_384',
help='Config for the transformer family (layers_heads_dim).')
p.add_argument('--rec_config', type=str, default='12_384',
help='Config for the recurrent/SSM family (layers_dim).')
p.add_argument('--num_train', type=parse_count, default='10M')
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')
# ---- the two knobs of the test (same as maze_vis_memory.py) ----
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 per perturbation.')
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 used to synthesize an iter-0 untrained baseline when no 0 checkpoint exists. '
'train_maze.py initializes from torch seed 1337 in non-DDP runs.')
# checkpoint sweep
p.add_argument('--iters', type=str, default=None,
help='Comma-separated checkpoint iters, e.g. "500,1000,1500". '
'Overrides --iter_start/--iter_end/--iter_step.')
p.add_argument('--iter_start', type=int, default=500)
p.add_argument('--iter_end', type=int, default=10000)
p.add_argument('--iter_step', type=int, default=500)
p.add_argument('--models', type=str, default=None,
help='Comma-separated subset of display labels to include '
'(default: all). e.g. "Transformer,GRU".')
p.add_argument('--eps', type=float, default=1e-6,
help='Ignore offsets whose KL is below this when computing L.')
p.add_argument('--halflife_kl', type=float, default=0.1,
help='Absolute KL threshold: memory length L = first distance where the '
'KL curve drops below this value (linearly interpolated).')
p.add_argument('--out_dir', type=str, default='out/plot')
return p.parse_args()
def ckpt_iters(args):
if args.iters:
return [int(x) for x in args.iters.split(',') if x.strip()]
return list(range(args.iter_start, args.iter_end + 1, args.iter_step))
def checkpoint_path(model_type, config, suffix, ckpt_iter, args):
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 '')
return os.path.join(out_dir, f'{ckpt_iter}_ckpt_maze_{tag}_{train_label}.pt')
def load_checkpoint_model(ckpt_path, model_type, device):
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(model_type, config, suffix, args, device, reference_iters):
"""Create an iter-0 baseline from the model_args stored in the first available ckpt."""
ref_path = None
for it in reference_iters:
if it == 0:
continue
candidate = checkpoint_path(model_type, config, suffix, it, args)
if os.path.exists(candidate):
ref_path = candidate
break
if ref_path is None:
raise FileNotFoundError('No nonzero checkpoint found to infer model_args for iter 0.')
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 load_model(model_type, config, suffix, ckpt_iter, args, device, reference_iters):
ckpt_path = checkpoint_path(model_type, config, suffix, ckpt_iter, args)
if os.path.exists(ckpt_path):
return load_checkpoint_model(ckpt_path, model_type, device)
if ckpt_iter == 0:
return load_untrained_model(model_type, config, suffix, args, device, reference_iters)
raise FileNotFoundError(ckpt_path)
def effective_memory_length(ds, kl, eps, thresh_kl=0.1):
"""Memory length L (tokens) = first distance where the KL-vs-offset curve drops
below the absolute threshold `thresh_kl`, linearly interpolated."""
d = np.asarray(ds, dtype=float)
w = np.asarray(kl, dtype=float)
keep = (d >= 1) & np.isfinite(w) & (w > eps)
if not keep.any():
return float('nan')
dk, wk = d[keep], w[keep]
pk = int(np.argmax(wk)) # peak position within the kept region
# if even the strongest (peak) influence is below the threshold, the curve never
# crosses 0.1 from above -> no measurable memory; floor at the smallest distance.
if wk[pk] <= thresh_kl:
return float(dk[0])
# walk forward from the peak to the first sub-threshold offset
for j in range(pk, len(wk)):
if wk[j] <= thresh_kl:
if j == 0:
return float(dk[0])
# linear interpolation between (dk[j-1], wk[j-1]) and (dk[j], wk[j]);
# here wk[j-1] > thresh >= wk[j], so t in [0,1] and the result is bounded.
w0, w1 = wk[j - 1], wk[j]
d0, d1 = dk[j - 1], dk[j]
if w0 == w1:
return float(d1)
t = (w0 - thresh_kl) / (w0 - w1)
return float(d0 + t * (d1 - d0))
# never crosses within the window: report the largest kept offset (right-censored)
return float(dk[-1])
def main():
args = parse_args()
device = args.device if torch.cuda.is_available() else 'cpu'
wanted = set(s.strip() for s in args.models.split(',')) if args.models else None
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.')
# Derive the move alphabet from the actual path region (after the colon).
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]}')
iters = ckpt_iters(args)
print(f'Sweeping {len(iters)} checkpoints: {iters}')
# results[label] = list of (iter, L)
results = {}
for display, model_type, kind, suffix in MODELS:
if wanted is not None and display not in wanted:
continue
config = args.tf_config if kind == 'tf' else args.rec_config
label = f'{display} {config}'
series = []
for it in iters:
try:
model = load_model(model_type, config, suffix, it, args, device, iters)
except FileNotFoundError:
continue
except ImportError as e:
print(f' ! skip {label}: {e}')
break
js, kl_curve = fixed_readout_perturb(model, seqs, args, device, index_ids)
L = effective_memory_length(js, kl_curve, args.eps,
thresh_kl=args.halflife_kl)
series.append((it, L))
print(f' [{label}] iter {it}: L={L:.2f}')
del model
if device.startswith('cuda'):
torch.cuda.empty_cache()
if series:
results[label] = series
if not results:
raise SystemExit('No checkpoints 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}_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)))
all_iters = sorted({it for series in results.values() for it, _ in series})
for (label, series), c in zip(results.items(), colors):
xs = [it for it, _ in series]
ys = [L for _, L in series]
ax.plot(xs, ys, '-o', color=c, lw=2, ms=4, label=label)
ax.set_xlabel('training iteration')
ax.set_ylabel(f'effective memory length L (tokens, KL<{args.halflife_kl:g})')
ax.set_title(f'Memory length vs training on Task {args.tasks} '
f'({train_label}, {args.split}, readout={args.readout_pos})')
ax.set_ylim(bottom=0)
if all_iters:
ax.set_xlim(all_iters[0], all_iters[-1])
ax.legend()
ax.grid(alpha=0.3)
fig.tight_layout()
png = os.path.join(args.out_dir, f'memtraj_{tag}.png')
fig.savefig(png, dpi=130)
print(f'Wrote {png}')
# also dump the raw numbers for overlaying with the loss curve later
npz = os.path.join(args.out_dir, f'memtraj_{tag}.npz')
np.savez(npz, **{label: np.array(series) for label, series in results.items()})
print(f'Wrote {npz}')
if __name__ == '__main__':
main()