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Optimal Transport map estimation on OT map (a) T1(x)=x (d=10) n=m=5000 (test)

0.023MSEHyCNN
-0.23761.521453.28055.03955Apr 29, 2026

Evaluation results

MethodLinks
HyCNNArchitecture=(48 × 4)2026.040.023
HyCNNArchitecture=(48 × 2)2026.040.027
HyCNNArchitecture=(48 × 6)2026.040.065
ICNNq (Softplus)Architecture=(64 × 2), tau=12026.040.073
ICNNq (Softplus)Architecture=(64 × 6), tau=12026.040.097
ICNNq (Softplus)Architecture=(64 × 4), tau=12026.040.103
ICNNq (Softplus)Architecture=(64 × 2), tau=0.12026.040.121
ICNNq (Softplus)Architecture=(64 × 6), tau=102026.040.186
ICNNq (Softplus)Architecture=(64 × 4), tau=102026.040.188
ICNNq (Softplus)Architecture=(64 × 4), tau=0.12026.040.192
ICNNq (Softplus)Architecture=(64 × 2), tau=102026.040.195
ICNNq (ReLU)Architecture=(64 × 2)2026.040.222
ICNNq (Softplus)Architecture=(64 × 6), tau=0.12026.040.233
ICNNq (ReLU)Architecture=(64 × 4)2026.040.286
ICNN (ReLU)Architecture=(64 × 6)2026.040.391
ICNN (ReLU)Architecture=(64 × 4)2026.040.498
ICNN (L-ReLU)Architecture=(64 × 6)2026.040.679
ICNN (L-ReLU)Architecture=(64 × 4)2026.040.734
ICNN (ReLU)Architecture=(64 × 2)2026.040.852
Entropic OTepsilon=12026.040.999
MongeGapArchitecture=(64 × 2)2026.041.067
MongeGapArchitecture=(64 × 4)2026.041.21
ICNN (L-ReLU)Architecture=(64 × 2)2026.041.213
MongeGapArchitecture=(64 × 6)2026.041.217
Entropic OTepsilon=0.12026.042.678
ICNNq (ReLU)Architecture=(64 × 6)2026.043.788
Entropic OTepsilon=102026.046.538