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EXP M (reviewer_response): CONTINUOUS COMPOSITIONAL BASELINE.
The #1 reviewer objection: "you only tested DISCRETE bottleneck codes.
Continuous factorized representations might transfer fine."
This experiment trains a CONTINUOUS bottleneck (same encoder + multi-agent
structure, but tanh-bounded real-valued codes instead of Gumbel one-hot)
on V-JEPA 2 collision restitution. We measure within-scenario TopSim,
PosDis, and causal specificity, then run the same N-shot cross-scenario
curve as Exp I.
Two variants tried:
- code_dim=10 per agent (matches discrete dimensionally: 4 agents x 10
= 40-dim message, same as discrete K=5 vocab x 2 heads x 4 agents)
- code_dim=3 per agent (small bottleneck, matches Option B from prompt)
If continuous bottleneck plateaus at 45-50% (like discrete), the
"compositionality without invariance" claim survives discretization.
If it recovers like a linear probe (60-84%), the claim must narrow to
discrete codes specifically.
"""
import json, time, sys, os, math
from pathlib import Path
from datetime import datetime, timezone
import numpy as np
import torch
import torch.nn as nn
import torch.nn.functional as F
sys.path.insert(0, os.path.dirname(__file__))
from _kinematics_train import (
DEVICE, ClassifierReceiver,
HIDDEN_DIM, N_AGENTS, BATCH_SIZE, SENDER_LR, RECEIVER_LR,
EARLY_STOP_PATIENCE,
)
from _killer_experiment import TemporalEncoder, ContinuousSender, ContinuousMultiSender
from _overnight_p1_transfer import (
train_base as train_discrete_base,
train_receiver_frozen_sender as train_disc_recv,
eval_zero_shot as eval_disc_zero_shot,
make_splits, N_FRAMES_SUBSAMPLE,
)
from _overnight_p3_matrix import load_labels, load_feat_subsampled
from _rev_f_cnn_control import ci95
OUT = Path("results/reviewer_response/exp_m")
OUT.mkdir(parents=True, exist_ok=True)
N_EPOCHS = 150
N_SEEDS = 5
N_LIST = [0, 1, 4, 16, 64, 128, 192]
def log(msg):
ts = datetime.now(timezone.utc).strftime("%H:%M:%SZ")
print(f"[{ts}] EXP-M: {msg}", flush=True)
# ─────────────────────────────────────────────────────────────────────────────
# Continuous bottleneck training
# ─────────────────────────────────────────────────────────────────────────────
def build_continuous_sender(feat_dim, code_dim_per_agent=10, fpa=1):
senders = [
ContinuousSender(
TemporalEncoder(HIDDEN_DIM, feat_dim, fpa),
HIDDEN_DIM, code_dim_per_agent)
for _ in range(N_AGENTS)
]
return ContinuousMultiSender(senders).to(DEVICE)
def train_continuous_base(feat, labels, seed, code_dim_per_agent=10,
n_epochs=N_EPOCHS):
"""Train continuous sender + 3 receivers (iterated learning) on (feat, labels)."""
N, nf, dim = feat.shape
fpa = 1
agent_views = [feat[:, i:i+1, :] for i in range(N_AGENTS)]
torch.manual_seed(seed); np.random.seed(seed)
rng = np.random.RandomState(seed * 1000 + 42)
train_ids, holdout_ids = [], []
for c in np.unique(labels):
ids_c = np.where(labels == c)[0]
rng.shuffle(ids_c)
split = max(1, len(ids_c) // 5)
holdout_ids.extend(ids_c[:split]); train_ids.extend(ids_c[split:])
train_ids = np.array(train_ids); holdout_ids = np.array(holdout_ids)
n_classes = int(labels.max()) + 1
chance = 1.0 / n_classes
msg_dim = code_dim_per_agent * N_AGENTS
sender = build_continuous_sender(dim, code_dim_per_agent, fpa)
receivers = [ClassifierReceiver(msg_dim, HIDDEN_DIM, n_classes).to(DEVICE)
for _ in range(3)]
so = torch.optim.Adam(sender.parameters(), lr=SENDER_LR)
ros = [torch.optim.Adam(r.parameters(), lr=RECEIVER_LR) for r in receivers]
labels_dev = torch.tensor(labels, dtype=torch.long).to(DEVICE)
n_batches = max(1, len(train_ids) // BATCH_SIZE)
best_acc = 0.0; best_ep = 0
best_sender_state = None; best_receiver_states = None
best_recv_idx = 0
for ep in range(n_epochs):
if ep - best_ep > EARLY_STOP_PATIENCE and best_acc > chance + 0.05: break
if ep > 0 and ep % 40 == 0:
for i in range(len(receivers)):
receivers[i] = ClassifierReceiver(msg_dim, HIDDEN_DIM, n_classes).to(DEVICE)
ros[i] = torch.optim.Adam(receivers[i].parameters(), lr=RECEIVER_LR)
sender.train(); [r.train() for r in receivers]
rng_ep = np.random.RandomState(seed * 10000 + ep)
perm = rng_ep.permutation(train_ids)
for b in range(n_batches):
batch_ids = perm[b*BATCH_SIZE:(b+1)*BATCH_SIZE]
if len(batch_ids) < 4: continue
views = [v[batch_ids].to(DEVICE) for v in agent_views]
tgt = labels_dev[batch_ids]
msg, _ = sender(views)
loss = torch.tensor(0.0, device=DEVICE)
for r in receivers: loss = loss + F.cross_entropy(r(msg), tgt)
loss = loss / len(receivers)
if torch.isnan(loss):
so.zero_grad(); [o.zero_grad() for o in ros]; continue
so.zero_grad(); [o.zero_grad() for o in ros]
loss.backward()
torch.nn.utils.clip_grad_norm_(sender.parameters(), 1.0)
so.step(); [o.step() for o in ros]
if ep % 50 == 0 and DEVICE.type == "mps": torch.mps.empty_cache()
if (ep + 1) % 10 == 0 or ep == 0:
sender.eval(); [r.eval() for r in receivers]
with torch.no_grad():
v_ho = [v[holdout_ids].to(DEVICE) for v in agent_views]
msg_ho, _ = sender(v_ho)
tgt_ho = labels_dev[holdout_ids]
best_per_recv = 0.0; best_idx = 0
for ri, r in enumerate(receivers):
preds = r(msg_ho).argmax(-1)
acc = (preds == tgt_ho).float().mean().item()
if acc > best_per_recv:
best_per_recv = acc; best_idx = ri
if best_per_recv > best_acc:
best_acc = best_per_recv; best_ep = ep
best_sender_state = {k: v.cpu().clone() for k, v in sender.state_dict().items()}
best_receiver_states = [
{k: v.cpu().clone() for k, v in r.state_dict().items()}
for r in receivers]
best_recv_idx = best_idx
return {
"sender_state": best_sender_state,
"receiver_states": best_receiver_states,
"best_recv_idx": best_recv_idx,
"train_ids": train_ids, "holdout_ids": holdout_ids,
"task_acc": best_acc, "chance": chance,
"n_classes": n_classes, "fpa": 1, "dim": dim,
"code_dim_per_agent": code_dim_per_agent,
"msg_dim": msg_dim,
}
def get_continuous_messages(base, feat):
"""Apply the trained continuous sender to features. Returns msg (N, msg_dim)."""
N, nf, dim = feat.shape
code_dim = base["code_dim_per_agent"]
sender = build_continuous_sender(dim, code_dim, base["fpa"])
sender.load_state_dict(base["sender_state"])
sender.eval().to(DEVICE)
agent_views = [feat[:, i:i+1, :] for i in range(N_AGENTS)]
with torch.no_grad():
views = [v.to(DEVICE) for v in agent_views]
msg, _ = sender(views)
return msg.cpu().float()
def eval_zero_shot_cont(base, feat_tgt, labels_tgt, ho_ids):
"""Zero-shot apply trained sender + best receiver to target."""
sender = build_continuous_sender(feat_tgt.shape[2], base["code_dim_per_agent"], base["fpa"])
sender.load_state_dict(base["sender_state"]); sender.eval().to(DEVICE)
receivers = [ClassifierReceiver(base["msg_dim"], HIDDEN_DIM, base["n_classes"]).to(DEVICE)
for _ in range(len(base["receiver_states"]))]
for r, s in zip(receivers, base["receiver_states"]): r.load_state_dict(s)
[r.eval() for r in receivers]
agent_views = [feat_tgt[:, i:i+1, :] for i in range(N_AGENTS)]
labels_dev = torch.tensor(labels_tgt, dtype=torch.long).to(DEVICE)
with torch.no_grad():
v_ho = [v[ho_ids].to(DEVICE) for v in agent_views]
msg_ho, _ = sender(v_ho)
tgt_ho = labels_dev[ho_ids]
best = 0.0
for r in receivers:
preds = r(msg_ho).argmax(-1)
acc = (preds == tgt_ho).float().mean().item()
best = max(best, acc)
return best
def train_recv_frozen_cont(base, feat_tgt, labels_tgt, train_ids, holdout_ids,
seed, n_target, n_epochs=80):
"""Train new receiver on n_target target examples using frozen continuous sender."""
if n_target == 0:
return eval_zero_shot_cont(base, feat_tgt, labels_tgt, holdout_ids)
rng = np.random.RandomState(seed * 311 + 7 + n_target)
n_t_classes = int(np.max(labels_tgt)) + 1
per_class = max(1, n_target // n_t_classes)
picks = []
for c in range(n_t_classes):
ids_c = np.array([i for i in train_ids if labels_tgt[i] == c])
if len(ids_c) == 0: continue
rng.shuffle(ids_c)
picks.extend(ids_c[:per_class])
picks = np.array(picks)
if len(picks) > n_target: picks = picks[:n_target]
elif len(picks) < n_target and len(train_ids) > len(picks):
extras = np.array([i for i in train_ids if i not in set(picks)])
rng.shuffle(extras)
picks = np.concatenate([picks, extras[:n_target - len(picks)]])
if len(picks) < 2: return float("nan")
# Freeze sender; train new receiver on `picks`
sender = build_continuous_sender(feat_tgt.shape[2], base["code_dim_per_agent"], base["fpa"])
sender.load_state_dict(base["sender_state"]); sender.to(DEVICE).eval()
for p in sender.parameters(): p.requires_grad = False
receivers = [ClassifierReceiver(base["msg_dim"], HIDDEN_DIM, base["n_classes"]).to(DEVICE)
for _ in range(3)]
ros = [torch.optim.Adam(r.parameters(), lr=RECEIVER_LR) for r in receivers]
agent_views = [feat_tgt[:, i:i+1, :] for i in range(N_AGENTS)]
labels_dev = torch.tensor(labels_tgt, dtype=torch.long).to(DEVICE)
bs = min(BATCH_SIZE, len(picks))
best = 0.0
for ep in range(n_epochs):
[r.train() for r in receivers]
rng_ep = np.random.RandomState(seed * 10000 + ep)
perm = rng_ep.permutation(picks)
for b in range(max(1, len(picks) // bs)):
batch = perm[b*bs:(b+1)*bs]
if len(batch) < 2: continue
views = [v[batch].to(DEVICE) for v in agent_views]
with torch.no_grad():
msg, _ = sender(views)
for r, o in zip(receivers, ros):
logits = r(msg)
loss = F.cross_entropy(logits, labels_dev[batch])
if torch.isnan(loss): continue
o.zero_grad(); loss.backward(); o.step()
if (ep + 1) % 5 == 0 or ep == 0:
[r.eval() for r in receivers]
with torch.no_grad():
v_ho = [v[holdout_ids].to(DEVICE) for v in agent_views]
msg_ho, _ = sender(v_ho)
tgt_ho = labels_dev[holdout_ids]
for r in receivers:
preds = r(msg_ho).argmax(-1)
acc = (preds == tgt_ho).float().mean().item()
if acc > best: best = acc
return best
# ─────────────────────────────────────────────────────────────────────────────
# Continuous metrics (TopSim, PosDis, causal-spec)
# ─────────────────────────────────────────────────────────────────────────────
def topsim_continuous(messages, labels, n_pairs=5000):
"""Spearman corr between L2 message-distances and L1 label-distances."""
from scipy.stats import spearmanr
rng = np.random.RandomState(42)
N = len(labels)
msg_np = messages.numpy() if isinstance(messages, torch.Tensor) else messages
n_pairs = min(n_pairs, N * (N - 1) // 2)
msg_d = []; lbl_d = []
seen = set()
for _ in range(n_pairs):
i, j = rng.randint(0, N), rng.randint(0, N)
if i == j or (i, j) in seen or (j, i) in seen: continue
seen.add((i, j))
msg_d.append(np.linalg.norm(msg_np[i] - msg_np[j]))
lbl_d.append(abs(int(labels[i]) - int(labels[j])))
if len(msg_d) < 10: return float("nan")
if np.std(msg_d) < 1e-9 or np.std(lbl_d) < 1e-9:
return float("nan")
rho, _ = spearmanr(msg_d, lbl_d)
return float(rho) if not np.isnan(rho) else 0.0
def posdis_continuous_per_dim(messages, labels, n_bins=10):
"""For each code dim, bin its values into n_bins and compute MI with labels.
Returns array (D,) of MI values."""
msg_np = messages.numpy() if isinstance(messages, torch.Tensor) else messages
D = msg_np.shape[1]
mi_per_dim = np.zeros(D)
n = len(labels)
for d in range(D):
col = msg_np[:, d]
if col.std() < 1e-9:
mi_per_dim[d] = 0.0; continue
# Bin
edges = np.quantile(col, np.linspace(0, 1, n_bins + 1)[1:-1])
binned = np.digitize(col, edges)
# MI(binned, labels)
joint = {}
for x, y in zip(binned, labels):
joint[(int(x), int(y))] = joint.get((int(x), int(y)), 0) + 1
H = lambda probs: -np.sum([p * np.log(p) for p in probs if p > 0])
# Marginals
p_x = np.bincount(binned, minlength=n_bins) / n
p_y = np.bincount(labels, minlength=int(np.max(labels)) + 1) / n
H_x = H(p_x); H_y = H(p_y)
H_xy = 0
for (x, y), c in joint.items():
p = c / n
H_xy += -p * np.log(p)
mi = H_x + H_y - H_xy
mi_per_dim[d] = max(mi, 0.0)
return mi_per_dim
def posdis_continuous(messages, labels, n_bins=10):
"""Average disentanglement across positions: per dim MI(top property) -
MI(second property), normalized. With single property here, it's just
relative MI heterogeneity across dims (disentanglement of the SINGLE
property across multiple dims). For single-attribute case, return
fraction of MI concentrated in one code dim."""
mi = posdis_continuous_per_dim(messages, labels, n_bins=n_bins)
if mi.sum() < 1e-9: return float("nan")
# Concentration: top dim MI / sum of MI across dims
top = mi.max()
return float(top / (mi.sum() + 1e-9))
def causal_specificity(base, feat, labels, holdout_ids):
"""Mask each code dim, measure receiver accuracy drop. Returns array (D,)."""
sender = build_continuous_sender(feat.shape[2], base["code_dim_per_agent"], base["fpa"])
sender.load_state_dict(base["sender_state"]); sender.eval().to(DEVICE)
receivers = [ClassifierReceiver(base["msg_dim"], HIDDEN_DIM, base["n_classes"]).to(DEVICE)
for _ in range(len(base["receiver_states"]))]
for r, s in zip(receivers, base["receiver_states"]): r.load_state_dict(s)
[r.eval() for r in receivers]
agent_views = [feat[:, i:i+1, :] for i in range(N_AGENTS)]
labels_dev = torch.tensor(labels, dtype=torch.long).to(DEVICE)
with torch.no_grad():
v_ho = [v[holdout_ids].to(DEVICE) for v in agent_views]
msg_ho, _ = sender(v_ho)
tgt_ho = labels_dev[holdout_ids]
best_recv = receivers[base.get("best_recv_idx", 0)]
baseline = (best_recv(msg_ho).argmax(-1) == tgt_ho).float().mean().item()
D = msg_ho.shape[1]
drops = np.zeros(D)
# Use mean of msg as the masked value
mean_vals = msg_ho.mean(dim=0)
for d in range(D):
masked = msg_ho.clone()
masked[:, d] = mean_vals[d]
acc_masked = (best_recv(masked).argmax(-1) == tgt_ho).float().mean().item()
drops[d] = baseline - acc_masked
return baseline, drops
# ─────────────────────────────────────────────────────────────────────────────
# Main
# ─────────────────────────────────────────────────────────────────────────────
def main():
t0 = time.time()
log("=" * 60)
log("EXP M: Continuous compositional baseline")
feat_c = load_feat_subsampled("collision", "vjepa2")
feat_r = load_feat_subsampled("ramp", "vjepa2")
feat_f = load_feat_subsampled("flat_drop", "vjepa2")
lbl_c = load_labels("collision", "restitution")
lbl_r = load_labels("ramp", "restitution")
lbl_f = load_labels("flat_drop", "restitution")
log(f" collision: {tuple(feat_c.shape)} dist={np.bincount(lbl_c).tolist()}")
log(f" ramp: {tuple(feat_r.shape)} dist={np.bincount(lbl_r).tolist()}")
log(f" flat_drop: {tuple(feat_f.shape)} dist={np.bincount(lbl_f).tolist()}")
variants = {
"continuous_dim10": 10, # matches discrete msg dim (40 total = 4 agents x 10)
"continuous_dim3": 3, # small bottleneck
}
all_results = {}
# ── Within-collision training (5 seeds) per variant ──
for variant_name, code_dim in variants.items():
log(f"\n --- Training {variant_name} (code_dim_per_agent={code_dim}) ---")
bases = []
within_accs = []
for seed in range(N_SEEDS):
t_s = time.time()
try:
base = train_continuous_base(feat_c, lbl_c, seed,
code_dim_per_agent=code_dim,
n_epochs=N_EPOCHS)
bases.append(base); within_accs.append(float(base["task_acc"]))
log(f" seed {seed}: within={base['task_acc']:.3f} [{time.time()-t_s:.0f}s]")
except Exception as e:
log(f" seed {seed} FAILED: {e}")
bases.append(None); within_accs.append(float("nan"))
all_results[variant_name] = {
"code_dim": code_dim,
"bases": bases, "within": within_accs,
}
# ── Within metrics on best-seed base ──
# Pick best within-acc base for metric reporting
valid = [(i, a) for i, a in enumerate(within_accs) if not np.isnan(a)]
if not valid:
log(f" {variant_name}: no successful base"); continue
best_idx = max(valid, key=lambda x: x[1])[0]
best_base = bases[best_idx]
with torch.no_grad():
msgs_full = get_continuous_messages(best_base, feat_c)
ho_ids = best_base["holdout_ids"]
msgs_ho = msgs_full[ho_ids]
lbl_ho = lbl_c[ho_ids]
try:
ts = topsim_continuous(msgs_ho, lbl_ho)
except Exception as e:
log(f" TopSim error: {e}"); ts = float("nan")
try:
pd_ = posdis_continuous(msgs_ho, lbl_ho)
except Exception as e:
log(f" PosDis error: {e}"); pd_ = float("nan")
try:
base_acc, drops = causal_specificity(best_base, feat_c, lbl_c, ho_ids)
cs = float(drops.max())
except Exception as e:
log(f" causal-spec error: {e}"); cs = float("nan"); base_acc = float("nan")
log(f" {variant_name} within metrics (best seed): "
f"acc={base_acc:.3f} TopSim={ts:.3f} PosDis={pd_:.3f} "
f"CausalSpec(max-drop)={cs:.3f}")
all_results[variant_name].update({
"topsim": ts, "posdis": pd_, "causal_spec_max": cs,
"within_for_metrics": base_acc,
})
# ── N-shot cross-scenario curves (5 seeds) per variant per direction ──
log(f"\n --- N-shot cross-scenario (N_list={N_LIST}, 5 seeds each) ---")
for variant_name in variants:
bases = all_results[variant_name]["bases"]
all_results[variant_name]["cross"] = {}
for src, tgt, feat_tgt, lbl_tgt in [
("collision", "ramp", feat_r, lbl_r),
("collision", "flat_drop", feat_f, lbl_f),
]:
log(f" {variant_name}: {src} -> {tgt}")
curve = {n: [] for n in N_LIST}
for seed, base in enumerate(bases):
if base is None:
for n in N_LIST: curve[n].append(float("nan"))
continue
tr_t, ho_t = make_splits(lbl_tgt, seed)
for n in N_LIST:
try:
acc = train_recv_frozen_cont(
base, feat_tgt, lbl_tgt, tr_t, ho_t, seed, n)
except Exception as e:
log(f" {variant_name} {src}->{tgt} s{seed} N={n} failed: {e}")
acc = float("nan")
curve[n].append(acc)
all_results[variant_name]["cross"][f"{src}->{tgt}"] = curve
for n in N_LIST:
accs = curve[n]
v = [x for x in accs if not (isinstance(x, float) and np.isnan(x))]
if v:
log(f" {src}->{tgt} N={n}: {np.mean(v)*100:.1f}% +/- "
f"{(np.std(v, ddof=1) if len(v) > 1 else 0.0)*100:.1f}")
# ── Output ──
def m(vals):
v = [x for x in vals if not (isinstance(x, float) and np.isnan(x))]
if not v: return (float("nan"), float("nan"), (float("nan"), float("nan")))
mean = float(np.mean(v))
std = float(np.std(v, ddof=1)) if len(v) > 1 else 0.0
return (mean, std, ci95(v))
lines = [
"EXPERIMENT M -- CONTINUOUS COMPOSITIONAL BASELINE (V-JEPA 2, 5 seeds)",
"",
"Architecture: same TemporalEncoder + multi-agent (4) structure as the",
"discrete bottleneck. Each agent's sender outputs a tanh-bounded real",
"vector of code_dim_per_agent dims (instead of one-hot Gumbel-Softmax).",
"Receiver: same ClassifierReceiver MLP as discrete protocol.",
"Iterated learning: 3-receiver population reset every 40 epochs.",
"",
"WITHIN-SCENARIO METRICS (collision, restitution 3-class):",
f"{'Architecture':<26s} | {'Acc':<8s} | {'TopSim':<8s} | {'PosDis':<10s} | "
f"{'CausalSpec':<12s}",
"-" * 80,
]
discrete_line = (f"{'Discrete (battery)':<26s} | {'94.2%':<8s} | "
f"{'+0.84':<8s} | {'0.76':<10s} | {'0.99':<12s}")
lines.append(discrete_line)
for variant_name in variants:
r = all_results[variant_name]
wm, ws, _ = m(r["within"])
ts = r.get("topsim", float("nan"))
pd_ = r.get("posdis", float("nan"))
cs = r.get("causal_spec_max", float("nan"))
within_str = f"{wm*100:.1f}%+/-{ws*100:.1f}" if not np.isnan(wm) else "N/A"
ts_str = f"{ts:+.2f}" if not np.isnan(ts) else "N/A"
pd_str = f"{pd_:.2f}" if not np.isnan(pd_) else "N/A"
cs_str = f"{cs:.2f}" if not np.isnan(cs) else "N/A"
lines.append(f"{variant_name:<26s} | {within_str:<8s} | "
f"{ts_str:<8s} | {pd_str:<10s} | {cs_str:<12s}")
lines.append(f"{'Linear probe (Exp B)':<26s} | {'97.5%':<8s} | "
f"{'N/A':<8s} | {'N/A':<10s} | {'N/A':<12s}")
lines.append("")
lines.append("N-SHOT CROSS-SCENARIO CURVE (collision -> ramp + collision -> flat_drop):")
lines.append(f" reference: linear probe coll->ramp at N=192: 83.7%")
lines.append(f" reference: linear probe coll->flat at N=192: 62.0%")
lines.append(f" reference: discrete bottleneck coll->ramp 16-shot: 43.7%")
lines.append("")
for direction in ["collision->ramp", "collision->flat_drop"]:
lines.append(f"--- {direction} ---")
header = (f"{'N':<6s} | "
f"{'continuous_dim10':<22s} | "
f"{'continuous_dim3':<22s}")
lines.append(header); lines.append("-" * len(header))
for n in N_LIST:
row_cells = []
for variant_name in variants:
accs = all_results[variant_name]["cross"][direction][n]
mn, sd, _ = m(accs)
if np.isnan(mn): row_cells.append("N/A")
else: row_cells.append(f"{mn*100:5.1f}% +/- {sd*100:.1f}")
lines.append(f"{n:<6d} | {row_cells[0]:<22s} | {row_cells[1]:<22s}")
lines.append("")
# Verdict
lines.append("VERDICT:")
# Compare continuous N=192 to linear probe and discrete bottleneck
cont10_192 = []; cont3_192 = []
for d in ["collision->ramp", "collision->flat_drop"]:
v10 = all_results["continuous_dim10"]["cross"][d][192]
v3 = all_results["continuous_dim3"]["cross"][d][192]
v10v = [x for x in v10 if not np.isnan(x)]
v3v = [x for x in v3 if not np.isnan(x)]
if v10v: cont10_192.append(float(np.mean(v10v)))
if v3v: cont3_192.append(float(np.mean(v3v)))
cont10_avg = float(np.mean(cont10_192)) if cont10_192 else float("nan")
cont3_avg = float(np.mean(cont3_192)) if cont3_192 else float("nan")
lines.append(f" Continuous-dim10 mean cross at N=192: {cont10_avg*100:.1f}%")
lines.append(f" Continuous-dim3 mean cross at N=192: {cont3_avg*100:.1f}%")
lines.append(f" Linear probe mean cross at N=192: ~73% (avg of 84% ramp, 62% flat)")
lines.append(f" Discrete bottleneck plateau: ~46%")
best_cont = max(cont10_avg, cont3_avg) if not (np.isnan(cont10_avg) and np.isnan(cont3_avg)) else float("nan")
if not np.isnan(best_cont):
if best_cont < 0.55:
v = (f"Continuous bottleneck plateaus at {best_cont*100:.1f}%, similar to "
"discrete (~46%). The compositionality-without-invariance dissociation "
"is NOT specific to discretization - it holds for continuous factorized "
"codes too. STRONG result for the paper.")
elif best_cont < 0.70:
v = (f"Continuous bottleneck reaches {best_cont*100:.1f}% at N=192 - "
"intermediate between discrete (46%) and linear probe (73%). Continuous "
"codes recover SOME cross-scenario signal beyond discrete, but stay "
"below an unconstrained probe. Nuanced finding.")
else:
v = (f"Continuous bottleneck recovers to {best_cont*100:.1f}% at N=192, "
"comparable to linear probes. The 'compositionality without invariance' "
"claim must be NARROWED to discrete codes specifically - continuous "
"factorized representations may transfer cleanly with target labels.")
lines.append(f" {v}")
lines.append("")
lines.append(f"Total runtime: {(time.time()-t0)/60:.1f} min")
# Strip torch tensors from results before JSON dump
json_out = {}
for variant_name, r in all_results.items():
json_out[variant_name] = {
"code_dim": r["code_dim"],
"within": r["within"],
"topsim": r.get("topsim", None),
"posdis": r.get("posdis", None),
"causal_spec_max": r.get("causal_spec_max", None),
"cross": r.get("cross", {}),
}
summary = "\n".join(lines)
(OUT / "exp_m_summary.txt").write_text(summary + "\n")
(OUT / "exp_m_summary.json").write_text(json.dumps({
"config": {"n_seeds": N_SEEDS, "N_list": N_LIST,
"variants": list(variants.keys())},
"results": json_out,
"runtime_s": time.time() - t0,
}, indent=2, default=str))
print("\n" + summary, flush=True)
log(f"DONE in {(time.time()-t0)/60:.1f} min")
if __name__ == "__main__":
main()
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