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math.OC2019
Submodular Function Minimization and Polarity
Alper Atamturk, Vishnu Narayanan
Using polarity, we give an outer polyhedral approximation for the epigraph of set functions. For a submodular function, we prove that the corresponding polar relaxation is exact; h…
math.OC2019
A scaled conjugate gradient based direct search algorithm for high dimensional box constrained derivative free optimization
Gannavarapu Chandramouli, Vishnu Narayanan
In this work, we propose an efficient method for solving box constrained derivative free optimization problems involving high dimensions. The proposed method relies on exploring th…