Lap Chi Lau (University of Waterloo)
Monday, July 20, 2020
Virtual via Bluejeans - 11:30 am
Title: A Spectral Approach to Network Design
Abstract: We present a spectral approach to design approximation algorithms for network design problems. We observe that the underlying mathematical questions are the spectral rounding problems, which were studied in spectral sparsification and in discrepancy theory. We extend these results to incorporate additional non-negative linear constraints, and show that they can be used to significantly extend the scope of network design problems that can be solved. Our algorithm for spectral rounding is an iterative randomized rounding algorithm based on the regret minimization framework. We may also discuss other applications of the spectral rounding results, including weighted experimental design and additive spectral sparsification.
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