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Optimal Transport Map Estimation on OT Map T3(x), n=5000 (d=10) c (test)

0.942MSEICNNq (Softplus)
-4.3825631.5582267.499103.43978Apr 29, 2026

Evaluation results

MethodLinks
ICNNq (Softplus)Architecture (width x depth)=(64 x 4), tau=0.12026.040.942
HyCNNArchitecture (width x depth)=(48 x 6)2026.041.009
HyCNNArchitecture (width x depth)=(48 x 4)2026.041.026
ICNNq (Softplus)Architecture (width x depth)=(64 x 6), tau=0.12026.041.069
ICNNq (ReLU)Architecture (width x depth)=(64 x 4)2026.041.22
ICNNq (ReLU)Architecture (width x depth)=(64 x 2)2026.041.522
ICNNq (ReLU)Architecture (width x depth)=(64 x 6)2026.041.558
ICNNq (Softplus)Architecture (width x depth)=(64 x 2), tau=0.12026.041.605
HyCNNArchitecture (width x depth)=(48 x 2)2026.041.873
ICNN (ReLU)Architecture (width x depth)=(64 x 4)2026.042.165
ICNN (L-ReLU)Architecture (width x depth)=(64 x 6)2026.042.271
ICNN (ReLU)Architecture (width x depth)=(64 x 6)2026.042.461
ICNN (L-ReLU)Architecture (width x depth)=(64 x 4)2026.042.784
ICNNq (Softplus)Architecture (width x depth)=(64 x 6), tau=12026.042.878
ICNNq (Softplus)Architecture (width x depth)=(64 x 4), tau=12026.043.231
ICNNq (Softplus)Architecture (width x depth)=(64 x 2), tau=12026.043.519
Entropic OTepsilon=12026.043.834
ICNNq (Softplus)Architecture (width x depth)=(64 x 6), tau=102026.044.565
ICNNq (Softplus)Architecture (width x depth)=(64 x 4), tau=102026.044.62
ICNN (ReLU)Architecture (width x depth)=(64 x 2)2026.044.67
ICNNq (Softplus)Architecture (width x depth)=(64 x 2), tau=102026.044.769
MongeGapArchitecture (width x depth)=(64 x 2)2026.045.371
MongeGapArchitecture (width x depth)=(64 x 4)2026.047.208
MongeGapArchitecture (width x depth)=(64 x 6)2026.047.476
Entropic OTepsilon=0.12026.048.155
Entropic OTepsilon=102026.0416.868
ICNN (L-ReLU)Architecture (width x depth)=(64 x 2)2026.04134.056