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Research map / Learning theory and algorithms / Sample complexity

Optimal Subsampling with Influence Functions

NeurIPS 2018 · Learning theory and algorithms › Sample complexity · approach: Optimal mean estimation and subsampling

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use influence-based sampling instead of uniform samplingLinear least squares and quantile regression · CASPsample size at matched errorHelped
Use influence-based sampling instead of uniform samplingLinear least squares · Online News Popularityfit qualityHelped
Use residual-only sampling instead of gradient-based sampling (ablation)Linear regression · CASPfit qualityHelped
Use approximate leverage-based sampling instead of uniform sampling (ablation)Linear regression · CASP prediction errorprediction errorHelped
Use approximate leverage-based sampling instead of uniform sampling (ablation)Linear regression · CASP coefficient estimationcoefficient errorHurt
Use exact leverage scores instead of influence-based sampling (ablation)Linear regression and quantile regression · CASPfit qualityHurt
Use residual-only sampling instead of approximating the regression-design influence (ablation)Linear least squares · Online News Popularityfit qualityHelped
Use influence sampling customized for the prediction target rather than parameter estimation (ablation)Linear regression · CASP prediction errorprediction errorHelped

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