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Lottery Tickets in Linear Models: An Analysis of Iterative Magnitude Pruning

Published 16 Jul 2020 in cs.LG and stat.ML | (2007.08243v3)

Abstract: We analyse the pruning procedure behind the lottery ticket hypothesis arXiv:1803.03635v5, iterative magnitude pruning (IMP), when applied to linear models trained by gradient flow. We begin by presenting sufficient conditions on the statistical structure of the features under which IMP prunes those features that have smallest projection onto the data. Following this, we explore IMP as a method for sparse estimation.

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