"""Control for Claim 3 (Theorem 2): relax the cluster-noise condition. Theorem 2 asserts that after K*T GD iterations the misclassification error is uniformly small *across all K tasks*, under sigma = Theta(1/(polylog(d) sqrt d)). On the prescribed grid (exp3_regime.py, `claim3` block) the measured error is identically 0 at every one of the 32 configurations, which supports the claim but has no discriminating power: a broken measurement would look the same. This control sweeps the one condition Theorem 2 places on the data -- the cluster noise level sigma = sigma_c / sqrt(d) -- from the paper's sigma_c = 0.1 up to sigma_c = 4.0, holding everything else at the claim-3 base point. If the audit is measuring what Theorem 2 describes, error must stay at 0 while the condition holds and rise once it is violated. Deliberately single-process and small: it runs alongside the exp4/exp5 sweeps without adding to peak memory. """ import json import os import sys import time sys.path.insert(0, os.path.dirname(os.path.abspath(__file__))) import clcore as C # noqa: E402 OUT = os.path.join(os.path.dirname(os.path.abspath(__file__)), "results") os.makedirs(OUT, exist_ok=True) D, M, N, K, T, ETA = 50, 1000, 1000, 6, 200, 8.0 SIGMAS = [0.1, 0.25, 0.5, 1.0, 2.0, 4.0] SEEDS = [0, 1, 2] if __name__ == "__main__": t0 = time.time() recs = [] total = len(SIGMAS) * len(SEEDS) for i, sc in enumerate(SIGMAS): for s in SEEDS: r = C.continual_run(d=D, m=M, K=K, n=N, T=T, eta=ETA, sigma_c=sc, loss_name="hinge", seed=s, n_test=2000) recs.append(dict( sigma_c=sc, seed=s, d=D, m=M, n=N, K=K, T=T, eta=ETA, # error of every task k measured at the final iterate w_{K-1} train_err_end=[float(r["err_at"][K - 1, k]) for k in range(K)], test_err_end=[float(r["test_err_at"][K - 1, k]) for k in range(K)], # error of task k right after it was trained (no forgetting yet) train_err_own=[float(r["err_at"][k, k]) for k in range(K)], train_loss_end=[float(r["loss_at"][K - 1, k]) for k in range(K)], )) print(f" {len(recs)}/{total} sigma_c={sc} seed={s} " f"{time.time() - t0:.0f}s", flush=True) path = os.path.join(OUT, "exp6_noise.json") with open(path, "w") as f: json.dump(recs, f) print("wrote exp6_noise.json", f"{time.time() - t0:.0f}s", flush=True)