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math.OC2024
Exact Decomposition Branching exploiting Lattice Structures
Katrin Halbig, Timm Oertel, Dieter Weninger
Strict inequalities in mixed-integer linear optimization can cause difficulties in guaranteeing convergence and exactness. Utilizing that optimal vertex solutions follow a lattice…
math.OC2024
Sparse Approximation in Lattices and Semigroups
Stefan Kuhlmann, Timm Oertel, Robert Weismantel
This paper deals with the following question: Suppose that there exist an integer or a non-negative integer solution to a system , where the number of non-zero componen…
math.PR2024
Asymptotic Bounds and Online Algorithms for Average-Case Matrix Discrepancy
Dmitriy Kunisky, Timm Oertel, Nicola Wengiel +1
We study the matrix discrepancy problem in the average-case setting. Given a sequence of symmetric matrices , its discrepancy is defined as the minimal…