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math.OC2020
Polyhedral Analysis of Symmetric Multilinear Polynomials over Box Constraints
Yibo Xu, Warren Adams, Akshay Gupte
It is well-known that the convex and concave envelope of a multilinear polynomial over a box are polyhedral functions. Exponential-sized extended and projected formulations for the…
math.OC2020
On strong duality, theorems of the alternative, and projections in conic optimization
Temitayo Ajayi, Akshay Gupte, Amin Khademi +1
A conic program is the problem of optimizing a linear function over a closed convex cone intersected with an affine preimage of another cone. We analyse three constraint qualificat…