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ResearchFormerly WizWand

Instrumental Variable Regression on MNIST

0.3Structural MSEBGM-IV
0.07641.58573.0954.6043May 7, 2026
Updated 5mo ago

Evaluation results

MethodLinks
BGM-IVSample size (n)=10000, Confounding level (ρ)=0.52026.050.3
BGM-IVSample size (n)=10000, Confounding level (ρ)=0.252026.050.32
BGM-IVSample size (n)=10000, Confounding level (ρ)=0.92026.050.35
BGM-IVSample size (n)=10000, Confounding level (ρ)=0.12026.050.36
BGM-IVSample size (n)=10000, Confounding level (ρ)=0.752026.050.36
BGM-IVSample size (n)=5000, Confounding level (ρ)=0.752026.050.4
BGM-IVSample size (n)=5000, Confounding level (ρ)=0.12026.050.47
BGM-IVSample size (n)=5000, Confounding level (ρ)=0.92026.050.47
BGM-IVSample size (n)=5000, Confounding level (ρ)=0.52026.050.48
BGM-IVSample size (n)=5000, Confounding level (ρ)=0.252026.050.49
DFIVSample size (n)=10000, Confounding level (ρ)=0.12026.050.65
DFIVSample size (n)=10000, Confounding level (ρ)=0.752026.050.65
DFIVSample size (n)=10000, Confounding level (ρ)=0.92026.050.65
DFIVSample size (n)=10000, Confounding level (ρ)=0.252026.050.66
DFIVSample size (n)=10000, Confounding level (ρ)=0.52026.050.68
DFIVSample size (n)=5000, Confounding level (ρ)=0.752026.050.77
DFIVSample size (n)=5000, Confounding level (ρ)=0.252026.050.79
DFIVSample size (n)=5000, Confounding level (ρ)=0.52026.050.79
DFIVSample size (n)=5000, Confounding level (ρ)=0.92026.050.81
DeepIVSample size (n)=10000, Confounding level (ρ)=0.252026.050.81
DeepIVSample size (n)=10000, Confounding level (ρ)=0.52026.050.81
DFIVSample size (n)=5000, Confounding level (ρ)=0.12026.050.86
BGM-IVSample size (n)=1000, Confounding level (ρ)=0.252026.050.88
BGM-IVSample size (n)=1000, Confounding level (ρ)=0.92026.050.89
BGM-IVSample size (n)=1000, Confounding level (ρ)=0.752026.050.9
BGM-IVSample size (n)=1000, Confounding level (ρ)=0.52026.050.91
DeepIVSample size (n)=5000, Confounding level (ρ)=0.92026.050.91
BGM-IVSample size (n)=1000, Confounding level (ρ)=0.12026.050.92
DeepIVSample size (n)=10000, Confounding level (ρ)=0.752026.050.92
DeepIVSample size (n)=10000, Confounding level (ρ)=0.92026.050.92
DeepIVSample size (n)=5000, Confounding level (ρ)=0.252026.050.95
DeepIVSample size (n)=5000, Confounding level (ρ)=0.52026.050.96
DeepIVSample size (n)=5000, Confounding level (ρ)=0.12026.051.03
DeepIVSample size (n)=10000, Confounding level (ρ)=0.12026.051.04
DeepIVSample size (n)=5000, Confounding level (ρ)=0.752026.051.08
DFIVSample size (n)=1000, Confounding level (ρ)=0.12026.051.1
DFIVSample size (n)=1000, Confounding level (ρ)=0.52026.051.12
DFIVSample size (n)=1000, Confounding level (ρ)=0.92026.051.12
DFIVSample size (n)=1000, Confounding level (ρ)=0.752026.051.13
DFIVSample size (n)=1000, Confounding level (ρ)=0.252026.051.14
DeepIVSample size (n)=1000, Confounding level (ρ)=0.752026.051.53
DeepIVSample size (n)=1000, Confounding level (ρ)=0.12026.051.55
DeepIVSample size (n)=1000, Confounding level (ρ)=0.252026.051.57
DeepIVSample size (n)=1000, Confounding level (ρ)=0.52026.051.69
DeepIVSample size (n)=1000, Confounding level (ρ)=0.92026.051.73
KIVSample size (n)=10000, Confounding level (ρ)=0.52026.051.87
KIVSample size (n)=10000, Confounding level (ρ)=0.752026.051.87
KIVSample size (n)=10000, Confounding level (ρ)=0.12026.051.88
KIVSample size (n)=10000, Confounding level (ρ)=0.252026.051.88
KIVSample size (n)=10000, Confounding level (ρ)=0.92026.051.88
KIVSample size (n)=5000, Confounding level (ρ)=0.252026.051.92
KIVSample size (n)=5000, Confounding level (ρ)=0.52026.051.92
KIVSample size (n)=5000, Confounding level (ρ)=0.752026.051.92
KIVSample size (n)=5000, Confounding level (ρ)=0.92026.051.92
KIVSample size (n)=5000, Confounding level (ρ)=0.12026.051.93
KIVSample size (n)=1000, Confounding level (ρ)=0.92026.052.07
KIVSample size (n)=1000, Confounding level (ρ)=0.12026.052.08
KIVSample size (n)=1000, Confounding level (ρ)=0.252026.052.08
KIVSample size (n)=1000, Confounding level (ρ)=0.52026.052.09
KIVSample size (n)=1000, Confounding level (ρ)=0.752026.052.09
DeepGMMSample size (n)=10000, Confounding level (ρ)=0.252026.055.13
DeepGMMSample size (n)=5000, Confounding level (ρ)=0.52026.055.14
DeepGMMSample size (n)=10000, Confounding level (ρ)=0.12026.055.3
DeepGMMSample size (n)=5000, Confounding level (ρ)=0.252026.055.34
DeepGMMSample size (n)=1000, Confounding level (ρ)=0.252026.055.35
DeepGMMSample size (n)=1000, Confounding level (ρ)=0.752026.055.35
DeepGMMSample size (n)=10000, Confounding level (ρ)=0.92026.055.35
DeepGMMSample size (n)=5000, Confounding level (ρ)=0.12026.055.37
DeepGMMSample size (n)=10000, Confounding level (ρ)=0.752026.055.37
DeepGMMSample size (n)=5000, Confounding level (ρ)=0.752026.055.42
DeepGMMSample size (n)=5000, Confounding level (ρ)=0.92026.055.57
DeepGMMSample size (n)=10000, Confounding level (ρ)=0.52026.055.6
DeepGMMSample size (n)=1000, Confounding level (ρ)=0.52026.055.64
DeepGMMSample size (n)=1000, Confounding level (ρ)=0.92026.055.77
DeepGMMSample size (n)=1000, Confounding level (ρ)=0.12026.055.89