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arXiv · 1202.3505

Near-optimal Coresets For Least-Squares Regression

Christos Boutsidis·Petros Drineas·Malik Magdon-Ismail
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Abstract

We study (constrained) least-squares regression as well as multiple response least-squares regression and ask the question of whether a subset of the data, a coreset, suffices to compute a good approximate solution to the regression. We give deterministic, low order polynomial-time algorithms to construct such coresets with approximation guarantees, together with lower bounds indicating that there is not much room for improvement upon our results.

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Christos Boutsidis, Petros Drineas, Malik Magdon-Ismail. 2013-06-21. Near-optimal Coresets For Least-Squares Regression. https://doi.org/10.1109/tit.2013.2272457

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