2 papers
cs.DS2023
Optimal Online Discrepancy Minimization
Janardhan Kulkarni, Victor Reis, Thomas Rothvoss
We prove that there exists an online algorithm that for any sequence of vectors with , arriving one at a time, decides random si…
cs.DS2023
Linear-Sized Sparsifiers via Near-Linear Time Discrepancy Theory
Arun Jambulapati, Victor Reis, Kevin Tian
Discrepancy theory provides powerful tools for producing higher-quality objects which "beat the union bound" in fundamental settings throughout combinatorics and computer science.…