15 citations · 20 across the 9 of their papers we have counts for
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math.OC2021★ 4 cited
The equivalence of optimal perspective formulation and Shor's SDP for quadratic programs with indicator variables
Shaoning Han, Andrés Gómez, Alper Atamtürk
In this paper, we compare the strength of the optimal perspective reformulation and Shor's SDP relaxation. We prove these two formulations are equivalent for quadratic optimization…
math.OC2021
A Graph-based Decomposition Method for Convex Quadratic Optimization with Indicators
Peijing Liu, Salar Fattahi, Andrés Gómez +1
In this paper, we consider convex quadratic optimization problems with indicator variables when the matrix defining the quadratic term in the objective is sparse. We use a grap…
math.OC2021
Compact extended formulations for low-rank functions with indicator variables
Shaoning Han, Andrés Gómez
We study the mixed-integer epigraph of a special class of convex functions with non-convex indicator constraints, which are often used to impose logical constraints on the support…