124 citations · 566 across the 52 of their papers we have counts for
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math.OC2015★ 1 cited
Centerpoints: A link between optimization and convex geometry
Amitabh Basu, Timm Oertel
We introduce a concept that generalizes several different notions of a "centerpoint" in the literature. We develop an oracle-based algorithm for convex mixed-integer optimization b…
math.OC2015
Strong duality and sensitivity analysis in semi-infinite linear programming
Amitabh Basu, Kipp Martin, Christopher Thomas Ryan
Finite-dimensional linear programs satisfy strong duality (SD) and have the "dual pricing" (DP) property. The (DP) property ensures that, given a sufficiently small perturbation of…