Online Combinatorial Linear Optimization via a Frank-Wolfe-based Metarounding Algorithm

19 Oct 2023  ·  Ryotaro Mitsuboshi, Kohei Hatano, Eiji Takimoto ·

Metarounding is an approach to convert an approximation algorithm for linear optimization over some combinatorial classes to an online linear optimization algorithm for the same class. We propose a new metarounding algorithm under a natural assumption that a relax-based approximation algorithm exists for the combinatorial class. Our algorithm is much more efficient in both theoretical and practical aspects.

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