Author

Anupam Gupta

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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

#machine learning Preprint Oct 2026

Optimal and Efficient Online Inverse Optimization

In online inverse linear optimization, a learner recommends an action and then observes the choice of an expert who maximizes a fixed, unknown linear objective on $\mathbb{R}^{d}$; the goal is to learn to optimize this objective without observing it. Sakaue recently obtained the optimal regret $O(\sqrt d)$ with a rando...

Anupam Gupta, Guru Guruganesh, Hong-Hao Lin et al. · 0 citations