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Optimal Transport Map Estimation on OT Map T3(x) n=5000 (d=20) c (test)

2.29MSEICNN (L-ReLU)
0.6918811.4791922.266533.05381Apr 29, 2026

Evaluation results

MethodLinks
ICNN (L-ReLU)Architecture (width x depth)=(64 x 2)2026.042.29
HyCNNArchitecture (width x depth)=(48 x 4)2026.044.704
ICNNq (Softplus)Architecture (width x depth)=(64 x 6), tau=0.12026.045.025
HyCNNArchitecture (width x depth)=(48 x 6)2026.045.571
ICNNq (ReLU)Architecture (width x depth)=(64 x 6)2026.045.828
ICNNq (Softplus)Architecture (width x depth)=(64 x 4), tau=0.12026.046.896
ICNNq (ReLU)Architecture (width x depth)=(64 x 4)2026.047.211
HyCNNArchitecture (width x depth)=(48 x 2)2026.047.716
ICNNq (Softplus)Architecture (width x depth)=(64 x 2), tau=12026.048.172
ICNNq (Softplus)Architecture (width x depth)=(64 x 2), tau=0.12026.048.41
ICNNq (ReLU)Architecture (width x depth)=(64 x 2)2026.048.499
ICNNq (Softplus)Architecture (width x depth)=(64 x 4), tau=12026.048.967
ICNNq (Softplus)Architecture (width x depth)=(64 x 6), tau=12026.049.241
ICNNq (Softplus)Architecture (width x depth)=(64 x 2), tau=102026.049.492
ICNNq (Softplus)Architecture (width x depth)=(64 x 6), tau=102026.049.568
ICNNq (Softplus)Architecture (width x depth)=(64 x 4), tau=102026.049.634
ICNN (ReLU)Architecture (width x depth)=(64 x 6)2026.049.641
ICNN (L-ReLU)Architecture (width x depth)=(64 x 6)2026.0411.384
ICNN (L-ReLU)Architecture (width x depth)=(64 x 4)2026.0413.704
ICNN (ReLU)Architecture (width x depth)=(64 x 4)2026.0413.822
MongeGapArchitecture (width x depth)=(64 x 2)2026.0419.623
MongeGapArchitecture (width x depth)=(64 x 4)2026.0419.64
MongeGapArchitecture (width x depth)=(64 x 6)2026.0419.933
ICNN (ReLU)Architecture (width x depth)=(64 x 2)2026.0420.552
Entropic OTepsilon=12026.0430.997
Entropic OTepsilon=102026.0433.891
Entropic OTepsilon=0.12026.0442.243