Scholarlink

In this paper, we design two algorithms for the problem of maximizing the difference of two DR-submodular function \( g - h \) (DDRS) on the integer lattice, where \( g (\boldsymbol{x}) \) is monotone and non-negative DR-submodular, and \( h (\boldsymbol{x}) \) is monotone and non-negative submodular with curvature \(c_h\) . Combining the lattice binary search with the threshold method, we present a one pass streaming algorithm for the unconstrained problems, and analyze the performance of the algorithm and obtain a provable approximation guarantees.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Maximizing the Difference of DR-Submodular Function on the Integer Lattice

  • 会议论文

  • 发表日期：

    2026年

查看全文
  • Jingjing Tan,
  • Cuiping Ge,
  • Meixia Li,
  • Meng Sun,
  • Ruiqi Yang

摘要

In this paper, we design two algorithms for the problem of maximizing the difference of two DR-submodular function \( g - h \) (DDRS) on the integer lattice, where \( g (\boldsymbol{x}) \) is monotone and non-negative DR-submodular, and \( h (\boldsymbol{x}) \) is monotone and non-negative submodular with curvature \(c_h\) . Combining the lattice binary search with the threshold method, we present a one pass streaming algorithm for the unconstrained problems, and analyze the performance of the algorithm and obtain a provable approximation guarantees.