activity
20202025
most citedIntegrality Gaps for Random Integer Programs via Discrepancy

52 citations · 58 across the 7 of their papers we have counts for

collaborators

8 papers

cs.DS2025

Improved Online Load Balancing in the Two-Norm

Sander Borst, Danish Kashaev

We study the online load balancing problem on unrelated machines, with the objective of minimizing the square of the norm of the loads on the machines. The greedy algorith…

cs.DS2024★ 1 cited

Online Matching on -Uniform Hypergraphs

Sander Borst, Danish Kashaev, Zhuan Khye Koh

The online matching problem was introduced by Karp, Vazirani and Vazirani (STOC 1990) on bipartite graphs with vertex arrivals. It is well-known that the optimal competitive ratio…

cs.DS2022★ 1 cited

A nearly optimal randomized algorithm for explorable heap selection

Sander Borst, Daniel Dadush, Sophie Huiberts +1

Explorable heap selection is the problem of selecting the th smallest value in a binary heap. The key values can only be accessed by traversing through the underlying infinite b…

math.OC2022★ 52 cited

Integrality Gaps for Random Integer Programs via Discrepancy

Sander Borst, Daniel Dadush, Dan Mikulincer

We prove new bounds on the additive gap between the value of a random integer program with constraints and that of its linear programming…

math.DS2021

A multidimensional solution to additive homological equations

Aleksei F. Ber, Matthijs J. Borst, Sander J. Borst +1

In this paper we prove that for a finite-dimensional real normed space , every bounded mean zero function can be written in the form …

math.PR2020

Majorizing Measures for the Optimizer

Sander Borst, Daniel Dadush, Neil Olver +1

The theory of majorizing measures, extensively developed by Fernique, Talagrand and many others, provides one of the most general frameworks for controlling the behavior of stochas…

math.OC2020

On the Integrality Gap of Binary Integer Programs with Gaussian Data

Sander Borst, Daniel Dadush, Sophie Huiberts +1

For a binary integer program (IP) , where and have independent Gaussian…

cs.DS2020★ 4 cited

New FPT algorithms for finding the temporal hybridization number for sets of phylogenetic trees

Sander Borst, Leo van Iersel, Mark Jones +1

We study the problem of finding a temporal hybridization network for a set of phylogenetic trees that minimizes the number of reticulations. First, we introduce an FPT algorithm fo…