Alfredo Torrico - The Greedy Algorithm: An Effective and Flexible Tool in Submodular Optimization

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Alfredo Torrico - Polytechnique Montréal

The Greedy Algorithm: An Effective and Flexible Tool in Submodular Optimization

Abstract: Constrained submodular maximization has a wide range of applications in multiple fields such as computer science, operations research, economics and machine learning. Nemhauser, Wolsey and Fisher introduced the standard greedy algorithm in 1978 and since then it has played an important role to obtain provable guarantees for different variants of the problem. Moreover, researchers have focused not only on providing improved quality and efficiency guarantees, but also on adapting it to related submodular optimization models. In this talk, I will address two questions: (1) Why does it perform so well in practice despite its worst-case guarantee? (2) How do we adapt it to a robust model that looks to simultaneously optimize several objective functions?

This talk is based on joint works with M. Singh, S. Pokutta, N. Haghtalab, J. Naor and N. Anari.
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