Optimal Transport map estimation on OT map (a) T1(x)=x (d=50) n=m=5000 (test)
0.386MSEHyCNN
Evaluation Results
| Method | Links | |
|---|---|---|
| HyCNNArchitecture=(48 × 6)2026.04 | 0.386 | |
| HyCNNArchitecture=(48 × 4)2026.04 | 0.392 | |
| HyCNNArchitecture=(48 × 2)2026.04 | 0.719 | |
| ICNNq (Softplus)Architecture=(64 × 2), tau=102026.04 | 2.046 | |
| ICNNq (Softplus)Architecture=(64 × 4), tau=102026.04 | 2.367 | |
| ICNNq (Softplus)Architecture=(64 × 6), tau=102026.04 | 2.482 | |
| ICNNq (Softplus)Architecture=(64 × 2), tau=12026.04 | 3.032 | |
| ICNNq (Softplus)Architecture=(64 × 2), tau=0.12026.04 | 3.35 | |
| ICNNq (ReLU)Architecture=(64 × 2)2026.04 | 4.101 | |
| ICNNq (Softplus)Architecture=(64 × 6), tau=12026.04 | 6.617 | |
| ICNNq (Softplus)Architecture=(64 × 4), tau=12026.04 | 6.95 | |
| ICNNq (Softplus)Architecture=(64 × 4), tau=0.12026.04 | 7.563 | |
| ICNNq (ReLU)Architecture=(64 × 4)2026.04 | 9.581 | |
| ICNN (ReLU)Architecture=(64 × 6)2026.04 | 9.809 | |
| ICNNq (Softplus)Architecture=(64 × 6), tau=0.12026.04 | 10.011 | |
| ICNN (L-ReLU)Architecture=(64 × 6)2026.04 | 10.183 | |
| ICNN (ReLU)Architecture=(64 × 4)2026.04 | 12.205 | |
| MongeGapArchitecture=(64 × 6)2026.04 | 19.61 | |
| ICNN (ReLU)Architecture=(64 × 2)2026.04 | 20.792 | |
| ICNN (L-ReLU)Architecture=(64 × 4)2026.04 | 20.861 | |
| MongeGapArchitecture=(64 × 4)2026.04 | 21.936 | |
| MongeGapArchitecture=(64 × 2)2026.04 | 22.429 | |
| Entropic OTepsilon=102026.04 | 32.786 | |
| Entropic OTepsilon=12026.04 | 41.019 | |
| Entropic OTepsilon=0.12026.04 | 51.783 | |
| ICNNq (ReLU)Architecture=(64 × 6)2026.04 | 127.802 | |
| ICNN (L-ReLU)Architecture=(64 × 2)2026.04 | 614.316 |