Optimal Transport map estimation on OT map (a) T1(x)=x (d=10) n=m=5000 (test)
0.023MSEHyCNN
Evaluation Results
| Method | Links | |
|---|---|---|
| HyCNNArchitecture=(48 × 4)2026.04 | 0.023 | |
| HyCNNArchitecture=(48 × 2)2026.04 | 0.027 | |
| HyCNNArchitecture=(48 × 6)2026.04 | 0.065 | |
| ICNNq (Softplus)Architecture=(64 × 2), tau=12026.04 | 0.073 | |
| ICNNq (Softplus)Architecture=(64 × 6), tau=12026.04 | 0.097 | |
| ICNNq (Softplus)Architecture=(64 × 4), tau=12026.04 | 0.103 | |
| ICNNq (Softplus)Architecture=(64 × 2), tau=0.12026.04 | 0.121 | |
| ICNNq (Softplus)Architecture=(64 × 6), tau=102026.04 | 0.186 | |
| ICNNq (Softplus)Architecture=(64 × 4), tau=102026.04 | 0.188 | |
| ICNNq (Softplus)Architecture=(64 × 4), tau=0.12026.04 | 0.192 | |
| ICNNq (Softplus)Architecture=(64 × 2), tau=102026.04 | 0.195 | |
| ICNNq (ReLU)Architecture=(64 × 2)2026.04 | 0.222 | |
| ICNNq (Softplus)Architecture=(64 × 6), tau=0.12026.04 | 0.233 | |
| ICNNq (ReLU)Architecture=(64 × 4)2026.04 | 0.286 | |
| ICNN (ReLU)Architecture=(64 × 6)2026.04 | 0.391 | |
| ICNN (ReLU)Architecture=(64 × 4)2026.04 | 0.498 | |
| ICNN (L-ReLU)Architecture=(64 × 6)2026.04 | 0.679 | |
| ICNN (L-ReLU)Architecture=(64 × 4)2026.04 | 0.734 | |
| ICNN (ReLU)Architecture=(64 × 2)2026.04 | 0.852 | |
| Entropic OTepsilon=12026.04 | 0.999 | |
| MongeGapArchitecture=(64 × 2)2026.04 | 1.067 | |
| MongeGapArchitecture=(64 × 4)2026.04 | 1.21 | |
| ICNN (L-ReLU)Architecture=(64 × 2)2026.04 | 1.213 | |
| MongeGapArchitecture=(64 × 6)2026.04 | 1.217 | |
| Entropic OTepsilon=0.12026.04 | 2.678 | |
| ICNNq (ReLU)Architecture=(64 × 6)2026.04 | 3.788 | |
| Entropic OTepsilon=102026.04 | 6.538 |