| ====================================================================== |
| CV SPECTRUM — EMPIRICAL GEOMETRY TEST |
| Device: cuda |
| Pentachoron samples: 2000 per measurement |
| ====================================================================== |
|
|
| ────────────────────────────────────────────────────────────────────── |
| TEST 1: Uniform random on S^(d-1) |
| ────────────────────────────────────────────────────────────────────── |
| dim n_pts CV time |
| 8 10000 0.3544 1.2s |
| 16 10000 0.2017 0.4s ◄ BAND |
| 32 10000 0.1269 0.4s |
| 64 10000 0.0847 0.4s |
| 128 10000 0.0582 0.4s |
| 256 10000 0.0400 0.4s |
| 384 10000 0.0330 0.4s |
| 512 10000 0.0287 0.4s |
| 768 10000 0.0226 0.4s |
| 1024 10000 0.0196 0.5s |
|
|
| ────────────────────────────────────────────────────────────────────── |
| TEST 2: Sample count sweep (d=128) |
| ────────────────────────────────────────────────────────────────────── |
| dim n_pts CV time |
| 128 500 0.0582 0.4s |
| 128 1000 0.0583 0.4s |
| 128 2000 0.0603 0.4s |
| 128 5000 0.0585 0.4s |
| 128 10000 0.0575 0.4s |
| 128 25000 0.0558 0.4s |
| 128 50000 0.0587 0.4s |
| 128 100000 0.0569 0.5s |
|
|
| ────────────────────────────────────────────────────────────────────── |
| TEST 3: Clustered on sphere (d=128, n=10000) |
| ────────────────────────────────────────────────────────────────────── |
| clusters spread CV time |
| 2 0.3 0.0688 0.4s |
| 5 0.3 0.0644 0.4s |
| 10 0.3 0.0629 0.4s |
| 20 0.3 0.0611 0.4s |
| 50 0.3 0.0573 0.4s |
| 100 0.3 0.0577 0.4s |
| 500 0.3 0.0576 0.4s |
| 1000 0.3 0.0578 0.4s |
|
|
| ────────────────────────────────────────────────────────────────────── |
| TEST 4: Cluster spread sweep (d=128, 10 clusters) |
| ────────────────────────────────────────────────────────────────────── |
| spread CV time |
| 0.010 1.0863 0.4s |
| 0.050 0.3801 0.4s |
| 0.100 0.1525 0.4s |
| 0.200 0.0704 0.4s |
| 0.300 0.0616 0.4s |
| 0.500 0.0599 0.4s |
| 0.700 0.0599 0.4s |
| 1.000 0.0584 0.4s |
| 2.000 0.0570 0.4s |
| 5.000 0.0569 0.4s |
|
|
| ────────────────────────────────────────────────────────────────────── |
| TEST 5: Anchor-attracted (d=128, n=10000) |
| ────────────────────────────────────────────────────────────────────── |
| n_anchors CV time |
| 4 0.0822 0.4s |
| 8 0.0743 0.4s |
| 16 0.0678 0.4s |
| 32 0.0641 0.4s |
| 64 0.0595 0.4s |
| 128 0.0608 0.4s |
| 256 0.0575 0.4s |
|
|
| ────────────────────────────────────────────────────────────────────── |
| TEST 6: Simulated contrastive training (d=128) |
| ────────────────────────────────────────────────────────────────────── |
| n_clusters steps CV time |
| 5 200 1.6637 0.6s |
| 10 200 0.9406 0.8s |
| 50 200 0.3459 2.2s |
| 100 200 0.2451 4.0s ◄ BAND |
|
|
| ────────────────────────────────────────────────────────────────────── |
| TEST 7: Contrastive sim across dimensions (10 clusters, 200 steps) |
| ────────────────────────────────────────────────────────────────────── |
| dim CV time |
| 16 0.9263 0.8s |
| 32 0.9604 0.8s |
| 64 0.9326 0.8s |
| 128 0.9408 0.8s |
| 256 0.9358 0.8s |
| 512 0.9252 0.8s |
|
|
| ────────────────────────────────────────────────────────────────────── |
| TEST 8: 100K points — uniform vs clustered vs contrastive |
| ────────────────────────────────────────────────────────────────────── |
| name CV time |
| uniform_100k 0.0586 1.1s |
| clustered_10_100k 0.0623 1.1s |
| clustered_100_100k 0.0580 1.1s |
| anchored_64_100k 0.0602 1.1s |
|
|
| ====================================================================== |
| SUMMARY |
| ====================================================================== |
| Tests in CV band [0.18, 0.27]: 2/57 |
| Tests outside band: 55/57 |
|
|
| CV by test type: |
| 100k : mean=0.0598 std=0.0017 range=[0.0580, 0.0623] in_band=0/4 |
| anchored : mean=0.0666 std=0.0083 range=[0.0575, 0.0822] in_band=0/7 |
| clustered : mean=0.0610 std=0.0039 range=[0.0573, 0.0688] in_band=0/8 |
| contrastive : mean=0.7988 std=0.5657 range=[0.2451, 1.6637] in_band=1/4 |
| contrastive_dim : mean=0.9368 std=0.0118 range=[0.9252, 0.9604] in_band=0/6 |
| n_sweep : mean=0.0580 std=0.0012 range=[0.0558, 0.0603] in_band=0/8 |
| spread : mean=0.2043 std=0.3092 range=[0.0569, 1.0863] in_band=0/10 |
| uniform : mean=0.0970 std=0.1016 range=[0.0196, 0.3544] in_band=1/10 |
|
|
| ====================================================================== |
| DONE |
| ====================================================================== |
