| ================================================================================ |
| CV LOSS SWEEP β PURE NOISE PREDICTION |
| Random inputs β MLP β S^(d-1) β constellation β 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 β CV=0.2405 dim=48 acc=77% (2.1s) |
| [ 2/43] no_cv_s2 w=0.000 t=0.00 d=128 β CV=0.2361 dim=47 acc=74% (1.9s) |
| [ 3/43] no_cv_s3 w=0.000 t=0.00 d=128 β CV=0.2464 dim=46 acc=74% (1.9s) |
| [ 4/43] no_cv_s4 w=0.000 t=0.00 d=128 β CV=0.2399 dim=47 acc=73% (1.9s) |
| [ 5/43] no_cv_s5 w=0.000 t=0.00 d=128 β CV=0.2335 dim=47 acc=74% (2.1s) |
| [ 6/43] w0.001_t0.22 w=0.001 t=0.22 d=128 β CV=0.2380 dim=48 acc=77% (2.4s) |
| [ 7/43] w0.01_t0.22 w=0.010 t=0.22 d=128 β CV=0.2383 dim=48 acc=77% (2.4s) |
| [ 8/43] w0.1_t0.22 w=0.100 t=0.22 d=128 β CV=0.2349 dim=48 acc=77% (2.3s) |
| [ 9/43] w0.5_t0.22 w=0.500 t=0.22 d=128 β CV=0.2118 dim=50 acc=73% (2.5s) |
| [10/43] w1.0_t0.22 w=1.000 t=0.22 d=128 β CV=0.2068 dim=52 acc=66% (2.3s) |
| [11/43] w5.0_t0.22 w=5.000 t=0.22 d=128 β CV=0.2081 dim=50 acc=27% (2.4s) |
| [12/43] w10_t0.22 w=10.000 t=0.22 d=128 β CV=0.2400 dim=47 acc=19% (2.3s) |
| [13/43] w50_t0.22 w=50.000 t=0.22 d=128 β CV=0.2345 dim=46 acc=15% (2.3s) |
| [14/43] w100_t0.22 w=100.000 t=0.22 d=128 β CV=0.2266 dim=44 acc=13% (2.5s) |
| [15/43] w0.01_t0.00 w=0.010 t=0.00 d=128 β CV=0.2359 dim=48 acc=77% (2.3s) |
| [16/43] w0.01_t0.05 w=0.010 t=0.05 d=128 β CV=0.2365 dim=48 acc=77% (2.3s) |
| [17/43] w0.01_t0.10 w=0.010 t=0.10 d=128 β CV=0.2368 dim=48 acc=77% (2.4s) |
| [18/43] w0.01_t0.30 w=0.010 t=0.30 d=128 β CV=0.2390 dim=48 acc=77% (2.5s) |
| [19/43] w0.01_t0.50 w=0.010 t=0.50 d=128 β CV=0.2432 dim=47 acc=76% (2.3s) |
| [20/43] w0.01_t0.80 w=0.010 t=0.80 d=128 β CV=0.2497 dim=46 acc=76% (2.3s) |
| [21/43] w0.01_t1.00 w=0.010 t=1.00 d=128 β CV=0.2536 dim=45 acc=75% (2.3s) |
| [22/43] w0.01_t2.00 w=0.010 t=2.00 d=128 β CV=0.5964 dim=34 acc=56% (2.5s) |
| [23/43] w1_t0.00 w=1.000 t=0.00 d=128 β CV=0.1375 dim=72 acc=50% (2.3s) |
| [24/43] w1_t0.05 w=1.000 t=0.05 d=128 β CV=0.1481 dim=69 acc=60% (2.3s) |
| [25/43] w1_t0.50 w=1.000 t=0.50 d=128 β CV=0.4783 dim=46 acc=27% (2.3s) |
| [26/43] w1_t0.80 w=1.000 t=0.80 d=128 β CV=0.7093 dim=25 acc=16% (2.5s) |
| [27/43] w1_t1.00 w=1.000 t=1.00 d=128 β CV=0.9932 dim=32 acc=14% (2.4s) |
| [28/43] w100_t0.00 w=100.000 t=0.00 d=128 β CV=0.1193 dim=70 acc=14% (2.3s) |
| [29/43] w100_t0.05 w=100.000 t=0.05 d=128 β CV=0.1189 dim=70 acc=15% (2.4s) |
| [30/43] w100_t0.10 w=100.000 t=0.10 d=128 β CV=0.1156 dim=69 acc=16% (2.5s) |
| [31/43] w100_t0.50 w=100.000 t=0.50 d=128 β CV=0.4911 dim=32 acc=11% (2.4s) |
| [32/43] w100_t0.80 w=100.000 t=0.80 d=128 β CV=0.8214 dim=21 acc=11% (2.3s) |
| [33/43] w100_t1.00 w=100.000 t=1.00 d=128 β CV=0.9380 dim=16 acc=11% (2.4s) |
| [34/43] pure_cv_t0.22 w=1.000 t=0.22 d=128 β CV=0.2441 dim=51 acc=10% (1.7s) |
| [35/43] pure_cv_t0.05 w=1.000 t=0.05 d=128 β CV=0.1125 dim=74 acc=10% (1.6s) |
| [36/43] pure_cv_t0.50 w=1.000 t=0.50 d=128 β CV=0.5095 dim=43 acc=10% (1.6s) |
| [37/43] pure_cv_t0.80 w=1.000 t=0.80 d=128 β CV=0.7739 dim=25 acc=10% (1.6s) |
| [38/43] pure_cv_t1.00 w=1.000 t=1.00 d=128 β CV=1.0356 dim=29 acc=10% (1.7s) |
| [39/43] dim16 w=0.000 t=0.00 d=16 β CV=0.3687 dim=11 acc=18% (1.9s) |
| [40/43] dim32 w=0.000 t=0.00 d=32 β CV=0.2578 dim=20 acc=29% (1.8s) |
| [41/43] dim64 w=0.000 t=0.00 d=64 β CV=0.2282 dim=33 acc=48% (1.9s) |
| [42/43] dim256 w=0.000 t=0.00 d=256 β CV=0.2729 dim=49 acc=96% (2.1s) |
| [43/43] dim512 w=0.000 t=0.00 d=512 β CV=0.3254 dim=41 acc=98% (2.3s) |
|
|
|
|
| ========================================================================================== |
| LABEL CV_W CV_T DIM FINAL_CV EFF_DIM ACC% CE |
| ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ |
| no_cv 0.000 0.00 128 0.2405~ 48 77% 0.7358 |
| no_cv_s2 0.000 0.00 128 0.2361β 47 74% 0.7979 |
| no_cv_s3 0.000 0.00 128 0.2464~ 46 74% 0.8117 |
| no_cv_s4 0.000 0.00 128 0.2399β 47 73% 0.8253 |
| no_cv_s5 0.000 0.00 128 0.2335β 47 74% 0.8215 |
| w0.001_t0.22 0.001 0.22 128 0.2380β 48 77% 0.7356 |
| w0.01_t0.22 0.010 0.22 128 0.2383β 48 77% 0.7347 |
| w0.1_t0.22 0.100 0.22 128 0.2349β 48 77% 0.7393 |
| w0.5_t0.22 0.500 0.22 128 0.2118β 50 73% 0.8655 |
| w1.0_t0.22 1.000 0.22 128 0.2068β 52 66% 1.0556 |
| w5.0_t0.22 5.000 0.22 128 0.2081β 50 27% 2.0441 |
| w10_t0.22 10.000 0.22 128 0.2400β 47 19% 2.2069 |
| w50_t0.22 50.000 0.22 128 0.2345β 46 15% 2.2766 |
| w100_t0.22 100.000 0.22 128 0.2266β 44 13% 2.2899 |
| w0.01_t0.00 0.010 0.00 128 0.2359β 48 77% 0.7327 |
| w0.01_t0.05 0.010 0.05 128 0.2365β 48 77% 0.7331 |
| w0.01_t0.10 0.010 0.10 128 0.2368β 48 77% 0.7333 |
| w0.01_t0.30 0.010 0.30 128 0.2390β 48 77% 0.7364 |
| w0.01_t0.50 0.010 0.50 128 0.2432~ 47 76% 0.7441 |
| w0.01_t0.80 0.010 0.80 128 0.2497~ 46 76% 0.7659 |
| w0.01_t1.00 0.010 1.00 128 0.2536~ 45 75% 0.7931 |
| w0.01_t2.00 0.010 2.00 128 0.5964β 34 56% 1.2895 |
| w1_t0.00 1.000 0.00 128 0.1375β 72 50% 1.4606 |
| w1_t0.05 1.000 0.05 128 0.1481β 69 60% 1.1755 |
| w1_t0.50 1.000 0.50 128 0.4783β 46 27% 2.0525 |
| w1_t0.80 1.000 0.80 128 0.7093β 25 16% 2.2492 |
| w1_t1.00 1.000 1.00 128 0.9932β 32 14% 2.2735 |
| w100_t0.00 100.000 0.00 128 0.1193β 70 14% 2.2686 |
| w100_t0.05 100.000 0.05 128 0.1189β 70 15% 2.2661 |
| w100_t0.10 100.000 0.10 128 0.1156β 69 16% 2.2596 |
| w100_t0.50 100.000 0.50 128 0.4911β 32 11% 2.2973 |
| w100_t0.80 100.000 0.80 128 0.8214β 21 11% 2.2996 |
| w100_t1.00 100.000 1.00 128 0.9380β 16 11% 2.3023 |
| pure_cv_t0.22 1.000 0.22 128 0.2441~ 51 10% 2.3049 |
| pure_cv_t0.05 1.000 0.05 128 0.1125β 74 10% 2.3045 |
| pure_cv_t0.50 1.000 0.50 128 0.5095β 43 10% 2.3048 |
| pure_cv_t0.80 1.000 0.80 128 0.7739β 25 10% 2.3050 |
| pure_cv_t1.00 1.000 1.00 128 1.0356β 29 10% 2.3044 |
| dim16 0.000 0.00 16 0.3687β 11 18% 2.2120 |
| dim32 0.000 0.00 32 0.2578~ 20 29% 2.0134 |
| dim64 0.000 0.00 64 0.2282β 33 48% 1.5450 |
| dim256 0.000 0.00 256 0.2729β 49 96% 0.1350 |
| dim512 0.000 0.00 512 0.3254β 41 98% 0.0575 |
|
|
|
|
| ========================================================================================== |
| ANALYSIS |
| ========================================================================================== |
|
|
| [1] NO CV LOSS, PURE NOISE (d=128, 5 seeds): |
| CV: mean=0.2393 min=0.2335 max=0.2464 spread=0.0129 |
| Dim: mean=47.0 |
| Within [0.17, 0.24]: 3/5 |
|
|
| [2] WEIGHT SWEEP (target=0.22, d=128): |
| w= 0.001 β CV=0.2380 acc=77% |
| w= 0.010 β CV=0.2383 acc=77% |
| w= 0.100 β CV=0.2349 acc=77% |
| w= 0.500 β CV=0.2118 acc=73% |
| w= 1.000 β CV=0.2068 acc=66% |
| w= 5.000 β CV=0.2081 acc=27% |
| w= 10.000 β CV=0.2400 acc=19% |
| w= 50.000 β CV=0.2345 acc=15% |
| w= 100.000 β CV=0.2266 acc=13% |
|
|
| [3] TARGET SWEEP (w=0.01, d=128): |
| target=0.00 β CV=0.2359β acc=77% |
| target=0.05 β CV=0.2365β acc=77% |
| target=0.10 β CV=0.2368β acc=77% |
| target=0.22 β CV=0.2383β acc=77% |
| target=0.30 β CV=0.2390β acc=77% |
| target=0.50 β CV=0.2432β acc=76% |
| target=0.80 β CV=0.2497β acc=76% |
| target=1.00 β CV=0.2536β acc=75% |
| target=2.00 β CV=0.5964β acc=56% |
|
|
| [3] TARGET SWEEP (w=1.0, d=128): |
| target=0.00 β CV=0.1375β acc=50% |
| target=0.05 β CV=0.1481β acc=60% |
| target=0.22 β CV=0.2068β acc=66% |
| target=0.50 β CV=0.4783β acc=27% |
| target=0.80 β CV=0.7093β acc=16% |
| target=1.00 β CV=0.9932β acc=14% |
|
|
| [3] TARGET SWEEP (w=100.0, d=128): |
| target=0.00 β CV=0.1193β acc=14% |
| target=0.05 β CV=0.1189β acc=15% |
| target=0.10 β CV=0.1156β acc=16% |
| target=0.22 β CV=0.2266β acc=13% |
| target=0.50 β CV=0.4911β acc=11% |
| target=0.80 β CV=0.8214β acc=11% |
| target=1.00 β CV=0.9380β acc=11% |
|
|
| [4] DIMENSION SWEEP (no CV loss): |
| d= 16 β CV=0.3687 eff_dim=11 |
| d= 32 β CV=0.2578 eff_dim=20 |
| d= 64 β CV=0.2282 eff_dim=33 |
| d= 256 β CV=0.2729 eff_dim=49 |
| d= 512 β CV=0.3254 eff_dim=41 |
|
|
| [5] EXTREME FORCE (wβ₯100, d=128): |
| target=0.00 β CV=0.1193 (Ξ from 0.20: 0.0807) acc=14% |
| target=0.05 β CV=0.1189 (Ξ from 0.20: 0.0811) acc=15% |
| target=0.10 β CV=0.1156 (Ξ from 0.20: 0.0844) acc=16% |
| target=0.22 β CV=0.2266 (Ξ from 0.20: 0.0266) acc=13% |
| target=0.50 β CV=0.4911 (Ξ from 0.20: 0.2911) acc=11% |
| target=0.80 β CV=0.8214 (Ξ from 0.20: 0.6214) acc=11% |
| target=1.00 β CV=0.9380 (Ξ from 0.20: 0.7380) acc=11% |
|
|
| [5b] PURE CV (no CE loss, only geometric pressure): |
| target=0.05 β CV=0.1125 (Ξ from 0.20: 0.0875) dim=74 |
| target=0.22 β CV=0.2441 (Ξ from 0.20: 0.0441) dim=51 |
| target=0.50 β CV=0.5095 (Ξ from 0.20: 0.3095) dim=43 |
| target=0.80 β CV=0.7739 (Ξ from 0.20: 0.5739) dim=25 |
| target=1.00 β CV=1.0356 (Ξ from 0.20: 0.8356) dim=29 |
|
|
| [6] CV TRAJECTORIES (step 0 β step 200): |
| no_cv : 0.1553 β 0.2134 (Ξ=+0.0581) |
| no_cv_s2 : 0.1392 β 0.2291 (Ξ=+0.0899) |
| no_cv_s3 : 0.1539 β 0.2406 (Ξ=+0.0867) |
| no_cv_s4 : 0.1369 β 0.2439 (Ξ=+0.1070) |
| no_cv_s5 : 0.1408 β 0.2311 (Ξ=+0.0903) |
|
|
| Raw results saved to cv_sweep_results.json |
|
|
| ================================================================================ |
| CV SWEEP COMPLETE |
| ================================================================================ |
