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R. R. Leme

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#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
Preprint Aug 2026

Graphic Matroid Secretary without the Graph

The matroid secretary problem (MSP) is one of the cleanest, and most captivating open problems in online algorithms. The famous MSP conjecture stipulates that there exists a constant-competitive algorithm, yet to date the best known algorithms are $O(\log \log (\text{rank}))$ competitive. It is widely believed that all...

Paul Dütting, R. P. Leme, Martin Pál et al. · 5 citations
#machine learning Preprint Sep 2026

Efficient Online Inverse Optimization with $O(d)$ Regret

This work builds on the variable-metric framework of Sakaue et al., adding a self-normalized rank-one update, and replaces the $\log\det$ potential by the trace power $\tr(H^{-1/2})$, which is bounded outright and removes the $\ln T$.

Yang Cai, Anupam Gupta, Vineet Gupta et al. · 3 citations · ⚡1

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