arXiv AI By Piotr Faliszewski, Jan Jabrocki, Mateusz S{\l}uszniak, Krzysztof Sornat, Stanis{\l}aw Szufa, Tomasz W\k{a}s

Outer Diversity of Condorcet Domains

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arXiv AI
Sep 10

Improving Randomized Metric Distortion to 2.1441

The paper announces an improved upper bound on the distortion of randomized voting rules in metric social choice, reducing it from the previous range of $[2.1126,2.5]$ to $2.1441$. It introduces the concept of random-size stable lotteries, proves their existence, and derives the new bound via a potential argument. The proofs were generated with GPT-5.6-Sol and subsequently verified and simplified by the author.

By Nisarg Shah
arXiv Machine Learning
Sep 16

On the disintegration of the stochastic majority vote: From PAC-Bayesian bounds to a self-bounding algorithm

The paper introduces a derandomization framework for stochastic majority vote classifiers, converting PAC‑Bayesian guarantees into deterministic majority vote guarantees. By applying disintegrated PAC‑Bayesian theory to the space of vote weight vectors, the authors derive two families of high‑probability generalization bounds for both data‑independent and data‑dependent ensembles. These bounds naturally lead to a self‑bounding learning algorithm that optimizes deterministic majority vote performance.

By Julien Bastian (LabHC), Benjamin Leblanc (LabHC, UJM, MALICE), Pascal Germain (LabHC, UJM, MALICE), Amaury Habrard (LabHC, UJM, MALICE), Guillaume Metzler (ERIC), Emilie Morvant (LabHC), Paul Viallard (MALT)