================================================================================ CV LOSS SWEEP — PURE NOISE PREDICTION Random inputs → MLP → S^(d-1) → constellation → 10 random labels No data structure. No signal. Pure sphere geometry + optimizer. 200 steps per run, ~2s each. ================================================================================ Running 43 configurations, 200 steps each Estimated time: ~129s [ 1/43] no_cv w=0.000 t=0.00 d=128 → CV=0.2319 dim=47 acc=76% (2.9s) [ 2/43] no_cv_s2 w=0.000 t=0.00 d=128 → CV=0.2288 dim=47 acc=76% (2.7s) [ 3/43] no_cv_s3 w=0.000 t=0.00 d=128 → CV=0.2532 dim=46 acc=73% (2.8s) [ 4/43] no_cv_s4 w=0.000 t=0.00 d=128 → CV=0.2468 dim=46 acc=74% (2.7s) [ 5/43] no_cv_s5 w=0.000 t=0.00 d=128 → CV=0.2174 dim=47 acc=76% (2.9s) [ 6/43] w0.001_t0.22 w=0.001 t=0.22 d=128 → CV=0.2318 dim=47 acc=76% (12.6s) [ 7/43] w0.01_t0.22 w=0.010 t=0.22 d=128 → CV=0.2325 dim=47 acc=76% (12.5s) [ 8/43] w0.1_t0.22 w=0.100 t=0.22 d=128 → CV=0.2357 dim=48 acc=76% (12.6s) [ 9/43] w0.5_t0.22 w=0.500 t=0.22 d=128 → CV=0.2255 dim=51 acc=72% (12.5s) [10/43] w1.0_t0.22 w=1.000 t=0.22 d=128 → CV=0.2310 dim=52 acc=66% (12.6s) [11/43] w5.0_t0.22 w=5.000 t=0.22 d=128 → CV=0.2145 dim=51 acc=27% (12.5s) [12/43] w10_t0.22 w=10.000 t=0.22 d=128 → CV=0.2388 dim=47 acc=20% (12.5s) [13/43] w50_t0.22 w=50.000 t=0.22 d=128 → CV=0.2336 dim=45 acc=15% (12.6s) [14/43] w100_t0.22 w=100.000 t=0.22 d=128 → CV=0.2301 dim=44 acc=13% (12.7s) [15/43] w0.01_t0.00 w=0.010 t=0.00 d=128 → CV=0.2272 dim=48 acc=76% (12.5s) [16/43] w0.01_t0.05 w=0.010 t=0.05 d=128 → CV=0.2282 dim=48 acc=76% (12.6s) [17/43] w0.01_t0.10 w=0.010 t=0.10 d=128 → CV=0.2294 dim=48 acc=76% (12.5s) [18/43] w0.01_t0.30 w=0.010 t=0.30 d=128 → CV=0.2348 dim=47 acc=76% (12.7s) [19/43] w0.01_t0.50 w=0.010 t=0.50 d=128 → CV=0.2395 dim=46 acc=76% (12.5s) [20/43] w0.01_t0.80 w=0.010 t=0.80 d=128 → CV=0.2439 dim=45 acc=74% (12.6s) [21/43] w0.01_t1.00 w=0.010 t=1.00 d=128 → CV=0.2423 dim=44 acc=73% (12.7s) [22/43] w0.01_t2.00 w=0.010 t=2.00 d=128 → CV=0.6056 dim=32 acc=55% (13.0s) [23/43] w1_t0.00 w=1.000 t=0.00 d=128 → CV=0.1358 dim=72 acc=50% (12.8s) [24/43] w1_t0.05 w=1.000 t=0.05 d=128 → CV=0.1499 dim=68 acc=62% (12.5s) [25/43] w1_t0.50 w=1.000 t=0.50 d=128 → CV=0.4153 dim=44 acc=27% (12.6s) [26/43] w1_t0.80 w=1.000 t=0.80 d=128 → CV=0.8266 dim=33 acc=17% (12.7s) [27/43] w1_t1.00 w=1.000 t=1.00 d=128 → CV=1.0157 dim=20 acc=13% (12.6s) [28/43] w100_t0.00 w=100.000 t=0.00 d=128 → CV=0.1179 dim=70 acc=15% (12.6s) [29/43] w100_t0.05 w=100.000 t=0.05 d=128 → CV=0.1176 dim=70 acc=15% (12.5s) [30/43] w100_t0.10 w=100.000 t=0.10 d=128 → CV=0.1217 dim=69 acc=16% (12.6s) [31/43] w100_t0.50 w=100.000 t=0.50 d=128 → CV=0.3896 dim=32 acc=12% (12.7s) [32/43] w100_t0.80 w=100.000 t=0.80 d=128 → CV=0.7022 dim=23 acc=11% (12.5s) [33/43] w100_t1.00 w=100.000 t=1.00 d=128 → CV=1.0147 dim=18 acc=12% (12.6s) [34/43] pure_cv_t0.22 w=1.000 t=0.22 d=128 → CV=0.2168 dim=47 acc=11% (11.8s) [35/43] pure_cv_t0.05 w=1.000 t=0.05 d=128 → CV=0.1050 dim=74 acc=10% (11.8s) [36/43] pure_cv_t0.50 w=1.000 t=0.50 d=128 → CV=0.4881 dim=38 acc=10% (11.7s) [37/43] pure_cv_t0.80 w=1.000 t=0.80 d=128 → CV=0.8275 dim=29 acc=10% (11.7s) [38/43] pure_cv_t1.00 w=1.000 t=1.00 d=128 → CV=1.0491 dim=23 acc=11% (12.0s) [39/43] dim16 w=0.000 t=0.00 d=16 → CV=0.3753 dim=11 acc=19% (2.7s) [40/43] dim32 w=0.000 t=0.00 d=32 → CV=0.2839 dim=20 acc=28% (2.7s) [41/43] dim64 w=0.000 t=0.00 d=64 → CV=0.2491 dim=33 acc=48% (2.7s) [42/43] dim256 w=0.000 t=0.00 d=256 → CV=0.2905 dim=50 acc=97% (2.9s) [43/43] dim512 w=0.000 t=0.00 d=512 → CV=0.3334 dim=41 acc=98% (3.2s) ========================================================================================== LABEL CV_W CV_T DIM FINAL_CV EFF_DIM ACC% CE ────────────────────────────────────────────────────────────────────────────────────────── no_cv 0.000 0.00 128 0.2319✓ 47 76% 0.7452 no_cv_s2 0.000 0.00 128 0.2288✓ 47 76% 0.7686 no_cv_s3 0.000 0.00 128 0.2532~ 46 73% 0.8086 no_cv_s4 0.000 0.00 128 0.2468~ 46 74% 0.7998 no_cv_s5 0.000 0.00 128 0.2174✓ 47 76% 0.7461 w0.001_t0.22 0.001 0.22 128 0.2318✓ 47 76% 0.7451 w0.01_t0.22 0.010 0.22 128 0.2325✓ 47 76% 0.7469 w0.1_t0.22 0.100 0.22 128 0.2357✓ 48 76% 0.7605 w0.5_t0.22 0.500 0.22 128 0.2255✓ 51 72% 0.8654 w1.0_t0.22 1.000 0.22 128 0.2310✓ 52 66% 1.0733 w5.0_t0.22 5.000 0.22 128 0.2145✓ 51 27% 2.0665 w10_t0.22 10.000 0.22 128 0.2388✓ 47 20% 2.1946 w50_t0.22 50.000 0.22 128 0.2336✓ 45 15% 2.2746 w100_t0.22 100.000 0.22 128 0.2301✓ 44 13% 2.2866 w0.01_t0.00 0.010 0.00 128 0.2272✓ 48 76% 0.7389 w0.01_t0.05 0.010 0.05 128 0.2282✓ 48 76% 0.7401 w0.01_t0.10 0.010 0.10 128 0.2294✓ 48 76% 0.7417 w0.01_t0.30 0.010 0.30 128 0.2348✓ 47 76% 0.7505 w0.01_t0.50 0.010 0.50 128 0.2395✓ 46 76% 0.7624 w0.01_t0.80 0.010 0.80 128 0.2439~ 45 74% 0.7892 w0.01_t1.00 0.010 1.00 128 0.2423~ 44 73% 0.8181 w0.01_t2.00 0.010 2.00 128 0.6056✗ 32 55% 1.3255 w1_t0.00 1.000 0.00 128 0.1358✗ 72 50% 1.4669 w1_t0.05 1.000 0.05 128 0.1499✗ 68 62% 1.1861 w1_t0.50 1.000 0.50 128 0.4153✗ 44 27% 2.0607 w1_t0.80 1.000 0.80 128 0.8266✗ 33 17% 2.2362 w1_t1.00 1.000 1.00 128 1.0157✗ 20 13% 2.2882 w100_t0.00 100.000 0.00 128 0.1179✗ 70 15% 2.2663 w100_t0.05 100.000 0.05 128 0.1176✗ 70 15% 2.2639 w100_t0.10 100.000 0.10 128 0.1217✗ 69 16% 2.2621 w100_t0.50 100.000 0.50 128 0.3896✗ 32 12% 2.2983 w100_t0.80 100.000 0.80 128 0.7022✗ 23 11% 2.2999 w100_t1.00 100.000 1.00 128 1.0147✗ 18 12% 2.3009 pure_cv_t0.22 1.000 0.22 128 0.2168✓ 47 11% 2.3025 pure_cv_t0.05 1.000 0.05 128 0.1050✗ 74 10% 2.3036 pure_cv_t0.50 1.000 0.50 128 0.4881✗ 38 10% 2.3036 pure_cv_t0.80 1.000 0.80 128 0.8275✗ 29 10% 2.3036 pure_cv_t1.00 1.000 1.00 128 1.0491✗ 23 11% 2.3037 dim16 0.000 0.00 16 0.3753✗ 11 19% 2.2147 dim32 0.000 0.00 32 0.2839✗ 20 28% 2.0190 dim64 0.000 0.00 64 0.2491~ 33 48% 1.5276 dim256 0.000 0.00 256 0.2905✗ 50 97% 0.1247 dim512 0.000 0.00 512 0.3334✗ 41 98% 0.0645 ========================================================================================== ANALYSIS ========================================================================================== [1] NO CV LOSS, PURE NOISE (d=128, 5 seeds): CV: mean=0.2356 min=0.2174 max=0.2532 spread=0.0358 Dim: mean=46.6 Within [0.17, 0.24]: 3/5 [2] WEIGHT SWEEP (target=0.22, d=128): w= 0.001 → CV=0.2318 acc=76% w= 0.010 → CV=0.2325 acc=76% w= 0.100 → CV=0.2357 acc=76% w= 0.500 → CV=0.2255 acc=72% w= 1.000 → CV=0.2310 acc=66% w= 5.000 → CV=0.2145 acc=27% w= 10.000 → CV=0.2388 acc=20% w= 50.000 → CV=0.2336 acc=15% w= 100.000 → CV=0.2301 acc=13% [3] TARGET SWEEP (w=0.01, d=128): target=0.00 → CV=0.2272✓ acc=76% target=0.05 → CV=0.2282✓ acc=76% target=0.10 → CV=0.2294✓ acc=76% target=0.22 → CV=0.2325✓ acc=76% target=0.30 → CV=0.2348✓ acc=76% target=0.50 → CV=0.2395✓ acc=76% target=0.80 → CV=0.2439✗ acc=74% target=1.00 → CV=0.2423✗ acc=73% target=2.00 → CV=0.6056✗ acc=55% [3] TARGET SWEEP (w=1.0, d=128): target=0.00 → CV=0.1358✗ acc=50% target=0.05 → CV=0.1499✗ acc=62% target=0.22 → CV=0.2310✓ acc=66% target=0.50 → CV=0.4153✗ acc=27% target=0.80 → CV=0.8266✗ acc=17% target=1.00 → CV=1.0157✗ acc=13% [3] TARGET SWEEP (w=100.0, d=128): target=0.00 → CV=0.1179✗ acc=15% target=0.05 → CV=0.1176✗ acc=15% target=0.10 → CV=0.1217✗ acc=16% target=0.22 → CV=0.2301✓ acc=13% target=0.50 → CV=0.3896✗ acc=12% target=0.80 → CV=0.7022✗ acc=11% target=1.00 → CV=1.0147✗ acc=12% [4] DIMENSION SWEEP (no CV loss): d= 16 → CV=0.3753 eff_dim=11 d= 32 → CV=0.2839 eff_dim=20 d= 64 → CV=0.2491 eff_dim=33 d= 256 → CV=0.2905 eff_dim=50 d= 512 → CV=0.3334 eff_dim=41 [5] EXTREME FORCE (w≥100, d=128): target=0.00 → CV=0.1179 (Δ from 0.20: 0.0821) acc=15% target=0.05 → CV=0.1176 (Δ from 0.20: 0.0824) acc=15% target=0.10 → CV=0.1217 (Δ from 0.20: 0.0783) acc=16% target=0.22 → CV=0.2301 (Δ from 0.20: 0.0301) acc=13% target=0.50 → CV=0.3896 (Δ from 0.20: 0.1896) acc=12% target=0.80 → CV=0.7022 (Δ from 0.20: 0.5022) acc=11% target=1.00 → CV=1.0147 (Δ from 0.20: 0.8147) acc=12% [6] CV TRAJECTORIES (step 0 → step 200): no_cv : 0.1379 → 0.2519 (Δ=+0.1140) no_cv_s2 : 0.1383 → 0.2360 (Δ=+0.0977) no_cv_s3 : 0.1465 → 0.2392 (Δ=+0.0927) no_cv_s4 : 0.1404 → 0.2460 (Δ=+0.1056) no_cv_s5 : 0.1482 → 0.2344 (Δ=+0.0862) Raw results saved to cv_sweep_results.json ================================================================================ CV SWEEP COMPLETE ================================================================================