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Dual Instrumental Variable Regression

NeurIPS 2020 · Learning theory and algorithms › Kernels and regression theory · approach: High-dimensional linear regression theory · 16 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use nonlinear DualIV instead of 2SLSIV regression · Demand design, n=50 and n=1000 across ρ=0.1–0.9Log10 MSEHelped
Use DualIV instead of KernelIVIV regression · Demand design, n=50Log10 MSEMixed
Use DualIV instead of KernelIVIV regression · Demand design, n=1000Log10 MSEMixed
Use DeepGMM instead of DualIVIV regression · Demand design, n=50Log10 MSEMixed
Reduce DeepGMM neural-network initialization variance to 0.1DeepGMM · Demand design, n=50 and n=1000Log10 MSE variability: 0.1Helped
Replace explicit first-stage regression with the DualIV saddle-point formulationNonlinear IV regression · Demand design, n=50 and n=1000Log10 MSENo clear effect

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