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Structural Function Estimation on Nuisance-Augmented Image-Covariate Demand Design

0.14Structural MSEBGM-IV
-0.08321.42342.934.4366May 7, 2026

Evaluation results

MethodLinks
BGM-IVn (Sample Size)=20000, rho (Confounding Level)=0.5, v_dim=10002026.050.14
BGM-IVn (Sample Size)=20000, rho (Confounding Level)=0.25, v_dim=10002026.050.2
BGM-IVn (Sample Size)=20000, rho (Confounding Level)=0.75, v_dim=10002026.050.21
BGM-IVn (Sample Size)=20000, rho (Confounding Level)=0.9, v_dim=10002026.050.21
BGM-IVn (Sample Size)=20000, rho (Confounding Level)=0.1, v_dim=10002026.050.26
BGM-IVn (Sample Size)=10000, rho (Confounding Level)=0.75, v_dim=10002026.050.41
BGM-IVn (Sample Size)=10000, rho (Confounding Level)=0.5, v_dim=10002026.050.52
BGM-IVn (Sample Size)=10000, rho (Confounding Level)=0.9, v_dim=10002026.050.53
BGM-IVn (Sample Size)=10000, rho (Confounding Level)=0.1, v_dim=10002026.050.55
BGM-IVn (Sample Size)=10000, rho (Confounding Level)=0.25, v_dim=10002026.050.56
BGM-IVn (Sample Size)=5000, rho (Confounding Level)=0.75, v_dim=10002026.050.74
BGM-IVn (Sample Size)=5000, rho (Confounding Level)=0.25, v_dim=10002026.050.78
DeepIVn (Sample Size)=20000, rho (Confounding Level)=0.5, v_dim=10002026.050.78
DeepIVn (Sample Size)=20000, rho (Confounding Level)=0.75, v_dim=10002026.050.78
DeepIVn (Sample Size)=20000, rho (Confounding Level)=0.25, v_dim=10002026.050.79
DeepIVn (Sample Size)=20000, rho (Confounding Level)=0.9, v_dim=10002026.050.79
DeepIVn (Sample Size)=20000, rho (Confounding Level)=0.1, v_dim=10002026.050.81
BGM-IVn (Sample Size)=5000, rho (Confounding Level)=0.1, v_dim=10002026.050.84
BGM-IVn (Sample Size)=5000, rho (Confounding Level)=0.5, v_dim=10002026.050.85
BGM-IVn (Sample Size)=5000, rho (Confounding Level)=0.9, v_dim=10002026.050.87
DeepIVn (Sample Size)=10000, rho (Confounding Level)=0.75, v_dim=10002026.051.19
DeepIVn (Sample Size)=10000, rho (Confounding Level)=0.5, v_dim=10002026.051.2
DeepIVn (Sample Size)=10000, rho (Confounding Level)=0.1, v_dim=10002026.051.21
DeepIVn (Sample Size)=10000, rho (Confounding Level)=0.25, v_dim=10002026.051.22
DeepIVn (Sample Size)=10000, rho (Confounding Level)=0.9, v_dim=10002026.051.23
DFIVn (Sample Size)=20000, rho (Confounding Level)=0.75, v_dim=10002026.051.28
DFIVn (Sample Size)=20000, rho (Confounding Level)=0.1, v_dim=10002026.051.31
DFIVn (Sample Size)=20000, rho (Confounding Level)=0.25, v_dim=10002026.051.34
DFIVn (Sample Size)=20000, rho (Confounding Level)=0.9, v_dim=10002026.051.35
DFIVn (Sample Size)=20000, rho (Confounding Level)=0.5, v_dim=10002026.051.36
DFIVn (Sample Size)=5000, rho (Confounding Level)=0.1, v_dim=10002026.051.46
DFIVn (Sample Size)=5000, rho (Confounding Level)=0.75, v_dim=10002026.051.46
DFIVn (Sample Size)=10000, rho (Confounding Level)=0.9, v_dim=10002026.051.48
DFIVn (Sample Size)=10000, rho (Confounding Level)=0.75, v_dim=10002026.051.51
DFIVn (Sample Size)=5000, rho (Confounding Level)=0.5, v_dim=10002026.051.52
DFIVn (Sample Size)=10000, rho (Confounding Level)=0.1, v_dim=10002026.051.52
DFIVn (Sample Size)=5000, rho (Confounding Level)=0.25, v_dim=10002026.051.53
DFIVn (Sample Size)=5000, rho (Confounding Level)=0.9, v_dim=10002026.051.53
DFIVn (Sample Size)=10000, rho (Confounding Level)=0.5, v_dim=10002026.051.54
DFIVn (Sample Size)=10000, rho (Confounding Level)=0.25, v_dim=10002026.051.55
DeepIVn (Sample Size)=5000, rho (Confounding Level)=0.25, v_dim=10002026.051.59
DeepIVn (Sample Size)=5000, rho (Confounding Level)=0.75, v_dim=10002026.051.59
DeepIVn (Sample Size)=5000, rho (Confounding Level)=0.9, v_dim=10002026.051.61
DeepIVn (Sample Size)=5000, rho (Confounding Level)=0.5, v_dim=10002026.051.67
DeepIVn (Sample Size)=5000, rho (Confounding Level)=0.1, v_dim=10002026.051.74
KIVn (Sample Size)=20000, rho (Confounding Level)=0.1, v_dim=10002026.051.84
KIVn (Sample Size)=20000, rho (Confounding Level)=0.25, v_dim=10002026.051.84
KIVn (Sample Size)=20000, rho (Confounding Level)=0.5, v_dim=10002026.051.84
KIVn (Sample Size)=20000, rho (Confounding Level)=0.75, v_dim=10002026.051.84
KIVn (Sample Size)=20000, rho (Confounding Level)=0.9, v_dim=10002026.051.84
KIVn (Sample Size)=10000, rho (Confounding Level)=0.1, v_dim=10002026.051.87
KIVn (Sample Size)=10000, rho (Confounding Level)=0.25, v_dim=10002026.051.87
KIVn (Sample Size)=10000, rho (Confounding Level)=0.5, v_dim=10002026.051.87
KIVn (Sample Size)=10000, rho (Confounding Level)=0.75, v_dim=10002026.051.87
KIVn (Sample Size)=10000, rho (Confounding Level)=0.9, v_dim=10002026.051.87
KIVn (Sample Size)=5000, rho (Confounding Level)=0.5, v_dim=10002026.051.92
KIVn (Sample Size)=5000, rho (Confounding Level)=0.75, v_dim=10002026.051.92
KIVn (Sample Size)=5000, rho (Confounding Level)=0.9, v_dim=10002026.051.92
KIVn (Sample Size)=5000, rho (Confounding Level)=0.1, v_dim=10002026.051.93
KIVn (Sample Size)=5000, rho (Confounding Level)=0.25, v_dim=10002026.051.93
DeepGMMn (Sample Size)=5000, rho (Confounding Level)=0.5, v_dim=10002026.055.32
DeepGMMn (Sample Size)=10000, rho (Confounding Level)=0.75, v_dim=10002026.055.36
DeepGMMn (Sample Size)=20000, rho (Confounding Level)=0.75, v_dim=10002026.055.39
DeepGMMn (Sample Size)=20000, rho (Confounding Level)=0.9, v_dim=10002026.055.43
DeepGMMn (Sample Size)=20000, rho (Confounding Level)=0.5, v_dim=10002026.055.47
DeepGMMn (Sample Size)=5000, rho (Confounding Level)=0.75, v_dim=10002026.055.48
DeepGMMn (Sample Size)=5000, rho (Confounding Level)=0.1, v_dim=10002026.055.5
DeepGMMn (Sample Size)=10000, rho (Confounding Level)=0.1, v_dim=10002026.055.54
DeepGMMn (Sample Size)=20000, rho (Confounding Level)=0.1, v_dim=10002026.055.56
DeepGMMn (Sample Size)=20000, rho (Confounding Level)=0.25, v_dim=10002026.055.56
DeepGMMn (Sample Size)=5000, rho (Confounding Level)=0.9, v_dim=10002026.055.59
DeepGMMn (Sample Size)=5000, rho (Confounding Level)=0.25, v_dim=10002026.055.61
DeepGMMn (Sample Size)=10000, rho (Confounding Level)=0.9, v_dim=10002026.055.68
DeepGMMn (Sample Size)=10000, rho (Confounding Level)=0.5, v_dim=10002026.055.71
DeepGMMn (Sample Size)=10000, rho (Confounding Level)=0.25, v_dim=10002026.055.72