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math.OC2020
On the Integrality Gap of Binary Integer Programs with Gaussian Data
Sander Borst, Daniel Dadush, Sophie Huiberts +1
For a binary integer program (IP) , where and have independent Gaussian…
math.OC2020
A Simple Method for Convex Optimization in the Oracle Model
Daniel Dadush, Christopher Hojny, Sophie Huiberts +1
We give a simple and natural method for computing approximately optimal solutions for minimizing a convex function over a convex set given by a separation oracle. Our metho…
math.OC2019
A scaling-invariant algorithm for linear programming whose running time depends only on the constraint matrix
Daniel Dadush, Sophie Huiberts, Bento Natura +1
Following the breakthrough work of Tardos in the bit-complexity model, Vavasis and Ye gave the first exact algorithm for linear programming in the real model of computation with ru…