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math.OC2019
An implementation of steepest-descent augmentation for linear programs
Steffen Borgwardt, Charles Viss
Generalizing the simplex method, circuit augmentation schemes for linear programs follow circuit directions through the interior of the underlying polyhedron. Steepest-descent augm…
math.OC2019
Constructing Clustering Transformations
Steffen Borgwardt, Charles Viss
Clustering is one of the fundamental tasks in data analytics and machine learning. In many situations, different clusterings of the same data set become relevant. For example, diff…
math.OC2018
A Polyhedral Model for Enumeration and Optimization over the Set of Circuits
Steffen Borgwardt, Charles Viss
Circuits play a fundamental role in polyhedral theory and linear programming. For instance, circuits are used as step directions in various augmentation schemes for solving linear…