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Thomas Rothvoß

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From Gaussian Measure to Partial Colorings and Linear Size SparsifiersConcentration of Measure Phenomena2020-10-19
Proves a simple two-line polynomial algorithm: project a Gaussian onto K∩[-ε,ε]^n (convex program) and show with Gaussian concentration and a width inequality…
Talk
A (1+epsilon)-approximation for Makespan Scheduling with Precedence Constraints Using LP HierarchiesDiscrete Optimization via Continuous Relaxation2017-09-11
Claim: a 1+ε approximation for makespan on unit-length jobs with constant M, achieved by strengthening the time-indexed LP via the Sherali–Adams hierarchy…
Talk
Extended Formulations 1Bridging Continuous and Discrete Optimization Boot Camp 20172017-08-21
Quick tutorial that proves the core claims: extended formulations let some polytopes shrink from exponentially many inequalities to n×B network flow LP for…
Talk
Extended Formulations 2Bridging Continuous and Discrete Optimization Boot Camp 20172017-08-21
Shows a concrete lower bound for the correlation polytope by extracting a submatrix of its slack matrix with entries 1 for disjoint 0/1 vectors and 0 for pairs…
Talk
Extended Formulations 3Bridging Continuous and Discrete Optimization Boot Camp 20172017-08-21
Extension complexity equals non-negative rank of the slack matrix, and for the correlation polytope LP/SDP relaxations correspond to families or vector spaces…
Talk
Extended Formulations 4Bridging Continuous and Discrete Optimization Boot Camp 20172017-08-21
Shows how any bounded density F on {0,1}^n that tests indistinguishably against a family of functions D1 … Dm is approximated by a normalized exponential of a…
Talk
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