The Power of Randomization: Distributed Submodular Maximization on Massive Datasets

R. Barbosa,Alina Ene,Huy L. Nguyen,Justin Ward

Published 2015 in International Conference on Machine Learning

ABSTRACT

A wide variety of problems in machine learning, including exemplar clustering, document summarization, and sensor placement, can be cast as constrained submodular maximization problems. Unfortunately, the resulting submodular optimization problems are often too large to be solved on a single machine. We consider a distributed, greedy algorithm that combines previous approaches with randomization. The result is an algorithm that is embarrassingly parallel and achieves provable, constant factor, worstcase approximation guarantees. In our experiments, we demonstrate its efficiency in large problems with different kinds of constraints with objective values always close to what is achievable in the centralized setting.

PUBLICATION RECORD

  • Publication year

    2015

  • Venue

    International Conference on Machine Learning

  • Publication date

    2015-02-09

  • Fields of study

    Mathematics, Computer Science

  • Identifiers
  • External record

    Open on Semantic Scholar

  • Source metadata

    Semantic Scholar

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