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Combinatorial Optimization Reading Group - Sharat IbrahimpurExport this event to calendar

Friday, November 22, 2019 — 1:00 PM EST

Title: Submodular function maximization via the multilinear relaxation and contention resolution schemes

Speaker: Sharat Ibrahimpur
Affiliation: University of Waterloo
Room: MC 5417

Abstract:

I will present a general framework for maximizing a nonnegative submodular set function $f$ subject to a variety of packing type constraints including multiple matroid constraints, knapsack constraints, and their intersections. Two takeaways from this talk will be: (i) a constant factor approximation algorithm to maximize the multilinear extension $F$ of $f$ over a solvable down-closed polytope; and (ii) an effective rounding strategy based on contention resolution schemes. In particular, we will see how contention resolution schemes for different polytopes can be combined to handle the intersection of different constraints.
Based on the work of Chekuri, Vondrak, and Zenklusen by the same title.

Location 
MC - Mathematics & Computer Building
5417
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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