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Integer Feasibility of Random Polytopes
March 7, 2014 @ 11:00 am
Karthekeyan Chandrasekaran (Harvard)
Optimization problems are ubiquitous in contemporary engineering. A principal barrier to solving several real-world optimization problems is input uncertainty. In this talk, I will present new tools to study probabilistic instances of integer programs. As an application, I will show a phase-transition phenomenon in a simple distribution model for random integer programs. Our main tool is an elementary connection between integer programming and matrix discrepancy. I will describe this connection and derive matching upper and lower bounds on the discrepancy of random Gaussian matrices.
Based on joint work with Santosh Vempala.