Optimal Transport map estimation on OT map (a) T1(x)=x (d=20) n=m=5000 (test)
0.067MSEHyCNN
Evaluation Results
| Method | Links | |
|---|---|---|
| HyCNNArchitecture=(48 × 4)2026.04 | 0.067 | |
| HyCNNArchitecture=(48 × 6)2026.04 | 0.076 | |
| HyCNNArchitecture=(48 × 2)2026.04 | 0.109 | |
| ICNNq (Softplus)Architecture=(64 × 2), tau=12026.04 | 0.365 | |
| ICNNq (Softplus)Architecture=(64 × 4), tau=12026.04 | 0.407 | |
| ICNNq (Softplus)Architecture=(64 × 2), tau=102026.04 | 0.486 | |
| ICNNq (Softplus)Architecture=(64 × 4), tau=102026.04 | 0.49 | |
| ICNNq (Softplus)Architecture=(64 × 6), tau=102026.04 | 0.504 | |
| ICNNq (Softplus)Architecture=(64 × 2), tau=0.12026.04 | 0.567 | |
| ICNNq (Softplus)Architecture=(64 × 6), tau=12026.04 | 0.57 | |
| ICNNq (ReLU)Architecture=(64 × 2)2026.04 | 0.801 | |
| ICNNq (Softplus)Architecture=(64 × 4), tau=0.12026.04 | 0.858 | |
| ICNNq (Softplus)Architecture=(64 × 6), tau=0.12026.04 | 0.971 | |
| ICNNq (ReLU)Architecture=(64 × 4)2026.04 | 1.123 | |
| ICNNq (ReLU)Architecture=(64 × 6)2026.04 | 1.401 | |
| ICNN (ReLU)Architecture=(64 × 6)2026.04 | 1.965 | |
| ICNN (L-ReLU)Architecture=(64 × 6)2026.04 | 2.002 | |
| ICNN (ReLU)Architecture=(64 × 4)2026.04 | 2.222 | |
| ICNN (L-ReLU)Architecture=(64 × 4)2026.04 | 2.599 | |
| ICNN (ReLU)Architecture=(64 × 2)2026.04 | 3.221 | |
| ICNN (L-ReLU)Architecture=(64 × 2)2026.04 | 4.36 | |
| MongeGapArchitecture=(64 × 2)2026.04 | 4.532 | |
| MongeGapArchitecture=(64 × 4)2026.04 | 5.296 | |
| MongeGapArchitecture=(64 × 6)2026.04 | 5.301 | |
| Entropic OTepsilon=12026.04 | 6.537 | |
| Entropic OTepsilon=0.12026.04 | 12.098 | |
| Entropic OTepsilon=102026.04 | 13.129 |