Reduced label complexity for tight linear regression
Linear Algebra seminar by Alex Gittens, Rensselaer Polytechnic Institute
Hosted by Institute for Computational and Experimental Research in Mathematics (ICERM), Brown University
Thursday 14:30 New York (GMT-4)
Recording available
Abstract
Alex Gittens studies how many data points must be labelled to fit a linear regression model with nearly the predictive power of a fully labelled dataset. Existing coreset and iterative approaches handle constant-factor approximations, but tighter approximations that improve with dataset size need different methods. The talk presents a polynomial-time algorithm that reduces label complexity by an additive O(sqrt(n)), using a sharp analysis of regression error for a coreset formed by backward selection.