Instrumental Variable Regression on MNIST
0.3Structural MSEBGM-IV
Evaluation Results
| Method | Links | |
|---|---|---|
| BGM-IVSample size (n)=10000, Confounding level (ρ)=0.52026.05 | 0.3 | |
| BGM-IVSample size (n)=10000, Confounding level (ρ)=0.252026.05 | 0.32 | |
| BGM-IVSample size (n)=10000, Confounding level (ρ)=0.92026.05 | 0.35 | |
| BGM-IVSample size (n)=10000, Confounding level (ρ)=0.12026.05 | 0.36 | |
| BGM-IVSample size (n)=10000, Confounding level (ρ)=0.752026.05 | 0.36 | |
| BGM-IVSample size (n)=5000, Confounding level (ρ)=0.752026.05 | 0.4 | |
| BGM-IVSample size (n)=5000, Confounding level (ρ)=0.12026.05 | 0.47 | |
| BGM-IVSample size (n)=5000, Confounding level (ρ)=0.92026.05 | 0.47 | |
| BGM-IVSample size (n)=5000, Confounding level (ρ)=0.52026.05 | 0.48 | |
| BGM-IVSample size (n)=5000, Confounding level (ρ)=0.252026.05 | 0.49 | |
| DFIVSample size (n)=10000, Confounding level (ρ)=0.12026.05 | 0.65 | |
| DFIVSample size (n)=10000, Confounding level (ρ)=0.752026.05 | 0.65 | |
| DFIVSample size (n)=10000, Confounding level (ρ)=0.92026.05 | 0.65 | |
| DFIVSample size (n)=10000, Confounding level (ρ)=0.252026.05 | 0.66 | |
| DFIVSample size (n)=10000, Confounding level (ρ)=0.52026.05 | 0.68 | |
| DFIVSample size (n)=5000, Confounding level (ρ)=0.752026.05 | 0.77 | |
| DFIVSample size (n)=5000, Confounding level (ρ)=0.252026.05 | 0.79 | |
| DFIVSample size (n)=5000, Confounding level (ρ)=0.52026.05 | 0.79 | |
| DFIVSample size (n)=5000, Confounding level (ρ)=0.92026.05 | 0.81 | |
| DeepIVSample size (n)=10000, Confounding level (ρ)=0.252026.05 | 0.81 | |
| DeepIVSample size (n)=10000, Confounding level (ρ)=0.52026.05 | 0.81 | |
| DFIVSample size (n)=5000, Confounding level (ρ)=0.12026.05 | 0.86 | |
| BGM-IVSample size (n)=1000, Confounding level (ρ)=0.252026.05 | 0.88 | |
| BGM-IVSample size (n)=1000, Confounding level (ρ)=0.92026.05 | 0.89 | |
| BGM-IVSample size (n)=1000, Confounding level (ρ)=0.752026.05 | 0.9 | |
| BGM-IVSample size (n)=1000, Confounding level (ρ)=0.52026.05 | 0.91 | |
| DeepIVSample size (n)=5000, Confounding level (ρ)=0.92026.05 | 0.91 | |
| BGM-IVSample size (n)=1000, Confounding level (ρ)=0.12026.05 | 0.92 | |
| DeepIVSample size (n)=10000, Confounding level (ρ)=0.752026.05 | 0.92 | |
| DeepIVSample size (n)=10000, Confounding level (ρ)=0.92026.05 | 0.92 | |
| DeepIVSample size (n)=5000, Confounding level (ρ)=0.252026.05 | 0.95 | |
| DeepIVSample size (n)=5000, Confounding level (ρ)=0.52026.05 | 0.96 | |
| DeepIVSample size (n)=5000, Confounding level (ρ)=0.12026.05 | 1.03 | |
| DeepIVSample size (n)=10000, Confounding level (ρ)=0.12026.05 | 1.04 | |
| DeepIVSample size (n)=5000, Confounding level (ρ)=0.752026.05 | 1.08 | |
| DFIVSample size (n)=1000, Confounding level (ρ)=0.12026.05 | 1.1 | |
| DFIVSample size (n)=1000, Confounding level (ρ)=0.52026.05 | 1.12 | |
| DFIVSample size (n)=1000, Confounding level (ρ)=0.92026.05 | 1.12 | |
| DFIVSample size (n)=1000, Confounding level (ρ)=0.752026.05 | 1.13 | |
| DFIVSample size (n)=1000, Confounding level (ρ)=0.252026.05 | 1.14 | |
| DeepIVSample size (n)=1000, Confounding level (ρ)=0.752026.05 | 1.53 | |
| DeepIVSample size (n)=1000, Confounding level (ρ)=0.12026.05 | 1.55 | |
| DeepIVSample size (n)=1000, Confounding level (ρ)=0.252026.05 | 1.57 | |
| DeepIVSample size (n)=1000, Confounding level (ρ)=0.52026.05 | 1.69 | |
| DeepIVSample size (n)=1000, Confounding level (ρ)=0.92026.05 | 1.73 | |
| KIVSample size (n)=10000, Confounding level (ρ)=0.52026.05 | 1.87 | |
| KIVSample size (n)=10000, Confounding level (ρ)=0.752026.05 | 1.87 | |
| KIVSample size (n)=10000, Confounding level (ρ)=0.12026.05 | 1.88 | |
| KIVSample size (n)=10000, Confounding level (ρ)=0.252026.05 | 1.88 | |
| KIVSample size (n)=10000, Confounding level (ρ)=0.92026.05 | 1.88 | |
| KIVSample size (n)=5000, Confounding level (ρ)=0.252026.05 | 1.92 | |
| KIVSample size (n)=5000, Confounding level (ρ)=0.52026.05 | 1.92 | |
| KIVSample size (n)=5000, Confounding level (ρ)=0.752026.05 | 1.92 | |
| KIVSample size (n)=5000, Confounding level (ρ)=0.92026.05 | 1.92 | |
| KIVSample size (n)=5000, Confounding level (ρ)=0.12026.05 | 1.93 | |
| KIVSample size (n)=1000, Confounding level (ρ)=0.92026.05 | 2.07 | |
| KIVSample size (n)=1000, Confounding level (ρ)=0.12026.05 | 2.08 | |
| KIVSample size (n)=1000, Confounding level (ρ)=0.252026.05 | 2.08 | |
| KIVSample size (n)=1000, Confounding level (ρ)=0.52026.05 | 2.09 | |
| KIVSample size (n)=1000, Confounding level (ρ)=0.752026.05 | 2.09 | |
| DeepGMMSample size (n)=10000, Confounding level (ρ)=0.252026.05 | 5.13 | |
| DeepGMMSample size (n)=5000, Confounding level (ρ)=0.52026.05 | 5.14 | |
| DeepGMMSample size (n)=10000, Confounding level (ρ)=0.12026.05 | 5.3 | |
| DeepGMMSample size (n)=5000, Confounding level (ρ)=0.252026.05 | 5.34 | |
| DeepGMMSample size (n)=1000, Confounding level (ρ)=0.252026.05 | 5.35 | |
| DeepGMMSample size (n)=1000, Confounding level (ρ)=0.752026.05 | 5.35 | |
| DeepGMMSample size (n)=10000, Confounding level (ρ)=0.92026.05 | 5.35 | |
| DeepGMMSample size (n)=5000, Confounding level (ρ)=0.12026.05 | 5.37 | |
| DeepGMMSample size (n)=10000, Confounding level (ρ)=0.752026.05 | 5.37 | |
| DeepGMMSample size (n)=5000, Confounding level (ρ)=0.752026.05 | 5.42 | |
| DeepGMMSample size (n)=5000, Confounding level (ρ)=0.92026.05 | 5.57 | |
| DeepGMMSample size (n)=10000, Confounding level (ρ)=0.52026.05 | 5.6 | |
| DeepGMMSample size (n)=1000, Confounding level (ρ)=0.52026.05 | 5.64 | |
| DeepGMMSample size (n)=1000, Confounding level (ρ)=0.92026.05 | 5.77 | |
| DeepGMMSample size (n)=1000, Confounding level (ρ)=0.12026.05 | 5.89 |