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Near-Optimal Linear Regression under Distribution Shift

ICML 2021 · Learning theory and algorithms › Sample complexity · approach: Minimax estimation rates · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Adapt regularization to source and target input covariancesLinear regression under covariate shift · Synthetic covariate-shift experimentstarget excess riskHelped
Use target-covariance-based minimax shrinkage instead of ordinary ridge shrinkageLinear regression under covariate shift · Synthetic covariate-shift experimentstarget excess risk: \mathcal{O}(d^{-1/4})Helped
Use source-only ridge regression despite model shiftLinear regression with model shift · Synthetic model-shift experimentstarget excess riskHurt
Use target-domain labeled data for ridge regression rather than source-only ridgeLinear regression with model shift · Synthetic model-shift experimentstarget excess riskHelped
Combine source and target information with the proposed minimax estimatorLinear regression with model shift · Synthetic model-shift experimentstarget excess riskHelped
Increase model shiftProposed minimax estimator · Synthetic model-shift experimentstarget excess riskHurt
Apply importance reweightingWeighted least squares · Synthetic approximation-error experimenttarget excess riskHelped
Use importance reweighting without variance-reducing minimax shrinkageWeighted least squares · Synthetic approximation-error experimenttarget excess riskHurt
Reweight, then apply minimax variance reductionApproximation-error estimator · Synthetic approximation-error experimenttarget excess riskHelped

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