2 papers
math.OC2025
An Alternating Direction Method of Multipliers for Topology Optimization
Harsh Choudhary, Sven Leyffer, Dominic Yang
We consider a class of integer-constrained optimization problems governed by partial differential equation (PDE) constraints and regularized via total variation (TV) in the context…
math.OC2025
Augmentation Algorithms for Integer Programs with Total Variation-like Regularization
Dominic Yang, Sven Leyffer, Miles Bakenhus
We address a class of integer optimization programs with a total variation-like regularizer and convex, separable constraints on a graph. Our approach makes use of the Graver basis…