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"""Fast CPU correctness checks for SDIL mechanics and signs.
Run: python experiments/smoke.py
"""
import os
import sys
import torch
sys.path.insert(0, os.path.dirname(os.path.dirname(os.path.abspath(__file__))))
from sdil.core import (SDILNet, SDILConfig, sdil_step,
node_perturbation_targets, simultaneous_node_perturbation_targets,
neutral_p_update, teaching_signal)
from sdil.baselines import dfa_config
from sdil import probes
from sdil.data import get_dataset, onehot
def row_cos(u, v, eps=1e-12):
return ((u * v).sum(1) / (u.norm(dim=1) * v.norm(dim=1) + eps)).mean().item()
def flat_cos(u, v, eps=1e-12):
return (u.flatten() @ v.flatten() / (u.norm() * v.norm() + eps)).item()
def check_residual_local_jacobian():
"""The three-factor rule must include the residual branch's alpha."""
torch.manual_seed(7)
batch = 32
net = SDILNet([20, 16, 16, 16, 5], device="cpu", seed=4, residual=True)
x = torch.randn(batch, 20)
y = torch.randint(0, 5, (batch,))
for weight in net.W:
weight.requires_grad_(True)
fwd = net.forward(x)
loss = torch.nn.functional.cross_entropy(fwd["h"][-1], y)
hidden_grads = torch.autograd.grad(loss, fwd["h"][1:-1], retain_graph=True)
weight_grads = torch.autograd.grad(loss, net.W)
for weight in net.W:
weight.requires_grad_(False)
print("CHECK0 residual local-rule Jacobian:")
for l in range(net.L - 1):
# autograd's hidden gradient includes the mean over the batch; recover
# per-example errors before applying the same minibatch mean as SDIL.
error = -hidden_grads[l] * batch
delta = error * net.act_prime(fwd["u"][l])
if l >= 1:
delta = net.res_alpha * delta
local_update = delta.t() @ fwd["h"][l] / batch
exact_update = -weight_grads[l]
cosine = flat_cos(local_update, exact_update)
norm_ratio = (local_update.norm() / exact_update.norm()).item()
print(f" layer {l}: cos={cosine:.6f} norm_ratio={norm_ratio:.6f}")
assert cosine > 0.99999
assert abs(norm_ratio - 1.0) < 1e-5
def check_neutral_predictor():
"""Per-neuron neutral regression should remove normal dendritic coupling."""
torch.manual_seed(11)
net = SDILNet([20, 32, 32, 5], device="cpu", seed=5, nuis_rho=2.0,
predictor_mode="diagonal")
x = torch.randn(128, 20)
initial = []
final = []
with torch.no_grad():
h = net.forward(x)["h"]
zero_c = torch.zeros(x.shape[0], net.n_classes)
for l in range(net.L - 1):
target = net.apical(l, zero_c, h[l + 1])
initial.append((target - net.baseline(l, h[l + 1])).norm() / target.norm())
for _ in range(300):
neutral_p_update(net, x, 0.05)
with torch.no_grad():
h = net.forward(x)["h"]
for l in range(net.L - 1):
target = net.apical(l, zero_c, h[l + 1])
final.append((target - net.baseline(l, h[l + 1])).norm() / target.norm())
print("CHECK0b neutral predictor residual/target:")
for l, (before, after) in enumerate(zip(initial, final)):
print(f" layer {l}: {before.item():.4f} -> {after.item():.4f}")
assert after < 0.03
def check_topdown_predictor():
"""A local soma predictor should remove the predictable part of feedback
generated by the network's own high-level contextual state."""
torch.manual_seed(13)
net = SDILNet([20, 32, 32, 32, 5], device="cpu", seed=6, nuis_rho=1.0,
predictor_mode="diagonal", residual=True,
traffic_mode="topdown")
x = torch.randn(256, 20)
def unexplained_fraction():
with torch.no_grad():
h = net.forward(x)["h"]
context = h[-2]
fractions = []
for l in range(net.L - 1):
traffic = net.apical_traffic(l, h[l + 1], context)
residual = traffic - net.baseline(l, h[l + 1])
fractions.append((residual.pow(2).mean() / traffic.pow(2).mean()).item())
return fractions
initial = unexplained_fraction()
for _ in range(500):
neutral_p_update(net, x, 0.02)
final = unexplained_fraction()
print("CHECK0c top-down traffic unexplained power:")
for l, (before, after) in enumerate(zip(initial, final)):
print(f" layer {l}: {before:.4f} -> {after:.4f}")
assert after < before * 0.8
assert final[-1] < 0.03
def main():
torch.manual_seed(0)
dev = "cpu"
check_residual_local_jacobian()
check_neutral_predictor()
check_topdown_predictor()
print("loading MNIST subset...")
tr, te, n_in, n_out = get_dataset("mnist", batch_size=128, device=dev)
xb, yb = next(iter(tr))
x = xb[:256]
y = yb[:256]
yoh = onehot(y, 10)
sizes = [784, 64, 64, 64, 10]
# ---- CHECK 1: node-perturbation q estimates the descent direction -g ----
net = SDILNet(sizes, device=dev, seed=1)
grads, _ = probes.true_hidden_grads(net, x, y)
for ndirs in (1, 8, 32):
qs = node_perturbation_targets(net, x, y, sigma=1e-2, n_dirs=ndirs)
cs = [row_cos(qs[l], -grads[l]) for l in range(len(qs))]
print(f"CHECK1 node-pert n_dirs={ndirs:2d} cos(q,-g) per layer = "
+ " ".join(f"{c:+.3f}" for c in cs))
assert all(c > 0 for c in cs), "node perturbation q should align with -grad"
qs = simultaneous_node_perturbation_targets(net, x, y, sigma=1e-2, n_dirs=32)
cs = [row_cos(qs[l], -grads[l]) for l in range(len(qs))]
print("CHECK1 simultaneous n_dirs=32 cos(q,-g) per layer = "
+ " ".join(f"{c:+.3f}" for c in cs))
assert all(c > 0.2 for c in cs), "simultaneous perturbation should align in expectation"
# ---- CHECK 2: SDIL overfits a fixed batch and alignment climbs ----
net = SDILNet(sizes, device=dev, seed=2)
cfg = SDILConfig(eta=0.1, eta_A=0.05, eta_P=0.005, pert_every=2, pert_ndirs=8,
momentum=0.9)
initial_alignment = probes.alignment_report(net, x, y, yoh, cfg)
initial_mean_cos = sum(initial_alignment["cos_r_negg"]) / len(initial_alignment["cos_r_negg"])
print("\nCHECK2 SDIL overfit fixed batch:")
for step in range(401):
loss, _ = sdil_step(net, x, y, yoh, cfg, step)
if step % 50 == 0:
al = probes.alignment_report(net, x, y, yoh, cfg)
mc = sum(al["cos_r_negg"]) / len(al["cos_r_negg"])
mca = sum(al["cos_apical_negg"]) / len(al["cos_apical_negg"])
print(f" step {step:3d} loss {loss:.4f} mean_cos(r,-g) {mc:+.3f} "
f"mean_cos(apical,-g) {mca:+.3f} per-layer_r {['%.2f'%v for v in al['cos_r_negg']]}")
assert loss < 1.5, f"SDIL should reduce loss on fixed batch, got {loss}"
final_mean_cos = sum(al["cos_r_negg"]) / len(al["cos_r_negg"])
assert final_mean_cos > initial_mean_cos + 0.1, (
f"trained A should improve alignment: {initial_mean_cos:.3f} -> {final_mean_cos:.3f}")
# ---- CHECK 3: report DFA as a sanity comparator. On a single repeatedly
# trained batch, ordinary feedback alignment can exceed learned A, so no
# universal ordering is asserted here; CHECK2 tests that A actually learns.
print("\nCHECK3 alignment sanity comparison: SDIL(trained A) vs DFA(fixed A):")
net_dfa = SDILNet(sizes, device=dev, seed=3)
cfg_dfa = dfa_config(eta=0.1, momentum=0.9)
for step in range(401):
sdil_step(net_dfa, x, y, yoh, cfg_dfa, step)
al_dfa = probes.alignment_report(net_dfa, x, y, yoh, cfg_dfa)
al_sdil = probes.alignment_report(net, x, y, yoh, cfg)
print(f" DFA mean_cos(r,-g) = {sum(al_dfa['cos_r_negg'])/len(al_dfa['cos_r_negg']):+.3f}")
print(f" SDIL mean_cos(r,-g) = {sum(al_sdil['cos_r_negg'])/len(al_sdil['cos_r_negg']):+.3f}")
# ---- CHECK 4: nuisance -> residual preserves alignment, raw apical degrades ----
print("\nCHECK4 residualization under soma-predictable nuisance (rho=2.0):")
net_n = SDILNet(sizes, device=dev, seed=4, nuis_rho=2.0)
cfg_n = SDILConfig(eta=0.1, eta_A=0.05, eta_P=0.02, pert_every=2, pert_ndirs=8, momentum=0.9)
for _ in range(200):
neutral_p_update(net_n, x, 0.05)
for step in range(401):
sdil_step(net_n, x, y, yoh, cfg_n, step)
al_n = probes.alignment_report(net_n, x, y, yoh, cfg_n)
residual_cos = sum(al_n['cos_r_negg']) / len(al_n['cos_r_negg'])
apical_cos = sum(al_n['cos_apical_negg']) / len(al_n['cos_apical_negg'])
print(f" residual cos(r,-g) = {residual_cos:+.3f}")
print(f" raw apical cos(a,-g) = {apical_cos:+.3f}")
print(f" pure A c cos(Ac,-g) = {sum(al_n['cos_Ac_negg'])/len(al_n['cos_Ac_negg']):+.3f}")
assert residual_cos > apical_cos + 0.1
cfg_raw = SDILConfig(use_residual=False, learn_A=False, learn_P=True)
al_raw = probes.alignment_report(net_n, x, y, yoh, cfg_raw)
assert al_raw["cos_r_negg"] == al_raw["cos_apical_negg"], (
"reported teaching alignment must honor use_residual=False")
# A magnitude-matched raw signal is still pointed along raw apical activity,
# but has exactly the innovation's norm for every sample. This isolates the
# directional effect of subtracting the soma-predictable component.
cfg_matched = SDILConfig(use_residual=False, learn_A=False, learn_P=True,
raw_scale_control="match_innovation_norm")
with torch.no_grad():
fwd_n = net_n.forward(x)
error_n = net_n.output_error(fwd_n["h"][-1], yoh)
for l in range(net_n.L - 1):
matched, raw, innovation = teaching_signal(
net_n, l, error_n, fwd_n["h"][l + 1], cfg_matched)
assert torch.allclose(matched.norm(dim=1), innovation.norm(dim=1),
atol=1e-6, rtol=1e-5)
assert row_cos(matched, raw) > 0.99999
al_matched = probes.alignment_report(net_n, x, y, yoh, cfg_matched)
for matched_cos, raw_cos in zip(al_matched["cos_r_negg"],
al_matched["cos_apical_negg"]):
assert abs(matched_cos - raw_cos) < 1e-6
print(" matched raw: direction preserved; per-sample innovation norm matched")
# ---- CHECK 5: single-step loss-decrease ratio vs exact GD ----
print("\nCHECK5 single-step loss-decrease ratio vs exact GD:")
ldr = probes.loss_decrease_ratio(net, x, y, yoh, cfg, step=100)
print(f" dL_sdil={ldr['dL_sdil']:+.4f} dL_bp={ldr['dL_bp']:+.4f} ratio={ldr['ratio']:+.3f}")
print("\nALL SMOKE CHECKS PASSED")
if __name__ == "__main__":
main()
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