4 papers
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…
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…
A Specialized Simplex Algorithm for Budget-Constrained Total Variation-Regularized Problems
Dominic Yang
We consider a class of linear programs on graphs with total variation regularization and a budgetary constraint. For these programs, we give a characterization of basic solutions i…
Semi-supervised Learning of Pushforwards For Domain Translation & Adaptation
Nishant Panda, Natalie Klein, Dominic Yang +2
Given two probability densities on related data spaces, we seek a map pushing one density to the other while satisfying application-dependent constraints. For maps to have utility…