Author

Vincent Cohen-Addad

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Preprint Oct 2026

A Better-than-2 Approximation for k-Median Part I: The Power of General Bids

The Greedy algorithm of Jain, Mahdian, Markakis, Saberi, and Vazirani was the best Lagrangian-multiplier-preserving (LMP) approximation algorithm for facility location, and thus the engine behind the best $k$-median guarantees, for over two decades. Its $2$-LMP guarantee was only recently broken by a small amount ($(2-...

Rares-Darius Buhai, Vincent Cohen-Addad, Henry L. Fleischmann et al. · 0 citations

Preprint Jul 2026

Spectral Dual Fitting for $k$-Means

A new dual fitting algorithm is given which tightly accounts for dual payments while still facilitating an effective dual feasibility analysis, and a new framework that uses spectral analysis for determining the approximation factor of the algorithm is introduced.

Aditya Anand, Moses Charikar, Vincent Cohen-Addad et al. · 1 citation