The cover number of a matrix and its algorithmic applications

• Main Authors: Lee, Troy, Alon, Noga, Shraibman, Adi
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Article
• 語言: English
• 出版: 2018
• 主題: Approximate Nash Equilibria; Approximation Algorithms; DRNTU::Science::Mathematics
• 在線閱讀: https://hdl.handle.net/10356/87666; http://hdl.handle.net/10220/46788
• 機構: Nanyang Technological University

Given a matrix A, we study how many epsilon-cubes are required to cover the convex hull of the columns of A. We show bounds on this cover number in terms of VC dimension and the gamma_2 norm and give algorithms for enumerating elements of a cover. This leads to algorithms for computing approximate N...