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Optimal Transport map estimation on OT map (a) T1(x)=x (d=50) n=m=5000 (test)

0.386MSEHyCNN
-24.1712141.5899307.351473.1121Apr 29, 2026

Evaluation results

MethodLinks
HyCNNArchitecture=(48 × 6)2026.040.386
HyCNNArchitecture=(48 × 4)2026.040.392
HyCNNArchitecture=(48 × 2)2026.040.719
ICNNq (Softplus)Architecture=(64 × 2), tau=102026.042.046
ICNNq (Softplus)Architecture=(64 × 4), tau=102026.042.367
ICNNq (Softplus)Architecture=(64 × 6), tau=102026.042.482
ICNNq (Softplus)Architecture=(64 × 2), tau=12026.043.032
ICNNq (Softplus)Architecture=(64 × 2), tau=0.12026.043.35
ICNNq (ReLU)Architecture=(64 × 2)2026.044.101
ICNNq (Softplus)Architecture=(64 × 6), tau=12026.046.617
ICNNq (Softplus)Architecture=(64 × 4), tau=12026.046.95
ICNNq (Softplus)Architecture=(64 × 4), tau=0.12026.047.563
ICNNq (ReLU)Architecture=(64 × 4)2026.049.581
ICNN (ReLU)Architecture=(64 × 6)2026.049.809
ICNNq (Softplus)Architecture=(64 × 6), tau=0.12026.0410.011
ICNN (L-ReLU)Architecture=(64 × 6)2026.0410.183
ICNN (ReLU)Architecture=(64 × 4)2026.0412.205
MongeGapArchitecture=(64 × 6)2026.0419.61
ICNN (ReLU)Architecture=(64 × 2)2026.0420.792
ICNN (L-ReLU)Architecture=(64 × 4)2026.0420.861
MongeGapArchitecture=(64 × 4)2026.0421.936
MongeGapArchitecture=(64 × 2)2026.0422.429
Entropic OTepsilon=102026.0432.786
Entropic OTepsilon=12026.0441.019
Entropic OTepsilon=0.12026.0451.783
ICNNq (ReLU)Architecture=(64 × 6)2026.04127.802
ICNN (L-ReLU)Architecture=(64 × 2)2026.04614.316