Centralized submodular optimization

  • Andrew Clark
  • , Basel Alomair
  • , Linda Bushnell
  • , Radha Poovendran

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

Submodularity enables efficient approximation of otherwise intractable set optimization problems using simply greedy or local search heuristics, making submodularity a valuable tool in a variety of applications. This chapter gives an overview of submodular optimization algorithms, with emphasis on centralized algorithms for maximizing submodular functions subject to different types of constraints. Applications of submodularity are presented, followed by the standard greedy algorithm for cardinality-constrained submodular maximization. Techniques for robust submodular maximization and submodular maximization under a matroid constraint are discussed. Online submodular maximization, in which the objective function varies over time, is introduced.

Original languageEnglish
Title of host publicationCommunications and Control Engineering
PublisherSpringer International Publishing
Pages19-39
Number of pages21
Edition9783319269757
DOIs
StatePublished - 2016

Publication series

NameCommunications and Control Engineering
Number9783319269757
ISSN (Print)0178-5354
ISSN (Electronic)2197-7119

Keywords

  • Marketing

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