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Online Active Linear Regression via Thresholding

AAAI 2017 · Bandits and online learning › Online convex optimization and games · approach: Online learning with feedback graphs · 21 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Select observations by thresholding their whitened, weighted norm instead of random samplingOnline linear regression with OLS · Physicochemical Properties of Protein Tertiary Structuretest squared prediction errorHelped
Select observations by thresholding their whitened, weighted norm instead of random samplingOnline linear regression with OLS · Bike SharingMSEHelped
Select observations by thresholding their whitened, weighted norm instead of random samplingOnline linear regression with OLS · YearPredictionMSDMSEHelped
Update the threshold and weights adaptively after each observation instead of fixing them in advance (ablation)Thresholding Algorithm · Synthetic Gaussian linear modelMSEHelped
Use optimal weights rather than uniform weights (ablation)Thresholding Algorithm · Correlated Laplace marginalsMSEHelped
Use approximate uniform weights instead of optimal weights (ablation)Thresholding Algorithm · Correlated Laplace marginalsMSEHurt
Use thresholding rather than random samplingLinear regression under increasing model nonlinearity · Synthetic nonlinear dataMSEMixed
Use thresholding rather than random samplingRidge regression · Synthetic white Gaussian linear modelMSE: less than 30%Helped
Use thresholding rather than random samplingLasso regression · Sparse synthetic model, varying effective dimensionMSEHelped
Use thresholding rather than random samplingLasso regression · Sparse synthetic model, increasing ambient dimensionMSEHelped
Use a two-stage procedure that first estimates the support and then thresholds observations in the selected subspaceSparse Thresholding Algorithm · High-dimensional sparse linear regressionMSE: at least a log d factorHelped
Fit the final sparse-model estimate using all k observations rather than only second-stage observations (ablation)Sparse Thresholding Algorithm · High-dimensional sparse linear regressionMSEHelped

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