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Near-Optimal Coresets for Least-Squares Regression

Near-Optimal Coresets for Least-Squares Regression

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 …