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Bastien Dubail

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Open access Oct 2026

Cutoff for mixtures of permuted Markov chains: Reversible case

We investigate the mixing properties of a model of reversible Markov chains in random environment, which notably contains the simple random walk on the superposition of a deterministic graph and a second graph whose vertex set has been permuted uniformly at random. It generalizes in particular a result of Hermon, Sly a...

Bastien Dubail · 0 citations
#machine learning Sep 2025

Shift Before You Learn: Enabling Low-Rank Representations in Reinforcement Learning

This work demonstrates that a low-rank structure naturally emerges in the shifted successor measure, which captures the system dynamics after bypassing a few initial transitions, and establishes a connection between the necessary shift and the local mixing properties of the underlying dynamical system, which provides a...

Bastien Dubail, Stefan Stojanovic, Alexandre Proutière · 4 citations · ⚡1

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