| Dataset Name | SOTA Method | Metric | Trend | ||
|---|---|---|---|---|---|
| DOTmark | Sinkhorn | Execution Time (s)1 | 18 | 22d ago | |
| MNIST | PINS | Log10 Relative Error-3.48 | 12 | 22d ago | |
| Synthetic | PINS | Log10 Relative Error-4.75 | 12 | 22d ago | |
| Rotating Moons (90° shift) | ReshapeOT | Mean Transport Error0.1 | 7 | 27d ago | |
| Rotating Moons (70° shift) | ReshapeOT | Mean Transport Error0.08 | 7 | 27d ago | |
| Rotating Moons (50° shift) | ReshapeOT | Mean Transport Error0.06 | 7 | 27d ago | |
| Rotating Moons (30° shift) | ReshapeOT | Mean Transport Error0.09 | 7 | 27d ago | |
| Rotating Moons 10° shift | Mean Transport Error0.04 | 7 | 27d ago | ||
| Appliances 6h shift | ReshapeOT | Mean Transport Error1.26 | 7 | 27d ago | |
| Appliances 5h shift | ReshapeOT | Mean Transport Error0.96 | 7 | 27d ago | |
| Appliances (4h shift) | ReshapeOT | Mean Transport Error0.7 | 7 | 27d ago | |
| Appliances 3h shift | ReshapeOT | Mean Transport Error0.45 | 7 | 27d ago | |
| Appliances 2h shift | ReshapeOT | Mean Transport Error0.24 | 7 | 27d ago | |
| Appliances 1h shift | ReshapeOT | Mean Transport Error0.06 | 7 | 27d ago | |
| Air Quality (6h shift) | ReshapeOT | Mean Transport Error1.17 | 7 | 27d ago | |
| Air Quality (5h shift) | ReshapeOT | Mean Transport Error1.07 | 7 | 27d ago | |
| Air Quality (4h shift) | ReshapeOT | Mean Transport Error0.95 | 7 | 27d ago | |
| Air Quality (3h shift) | ReshapeOT | Mean Transport Error0.8 | 7 | 27d ago | |
| Air Quality 2h shift | ReshapeOT | Mean Transport Error0.55 | 7 | 27d ago | |
| Air Quality 1h shift | ReshapeOT | Mean Transport Error0.2 | 7 | 27d ago | |
| Point-cloud Optimal Transport | SetONet | Relative L2 Error0.0521 | 5 | 2mo ago | |
| Quad (Quadratic potential synthetic data) | Selection via semi-dual Brenier objective | Epsilon Mu (f_i0)0.014 | 4 | 3mo ago | |
| Continuous Wasserstein-2 (W2) benchmark | [3] | Early Stage Value0.61 | 3 | 3mo ago | |
| Random Problems random_20000 | PINS | Peak RSS (GB)12.39 | 2 | 22d ago | |
| Random Problems 15000 | PINS | Peak RSS (GB)6.94 | 2 | 22d ago |
