3 papers
math.ST2026
Estimation of Conformal Metrics
Jérôme Taupin
We study deformations of the geodesic distances on a domain of R N induced by a function called conformal factor. We show that under a positive reach assumption on the domain (not…
math.ST2025
Fermat Distance-to-Measure: a robust Fermat-like metric
Jérôme Taupin, Frédéric Chazal
Given a probability measure with density, Fermat distances and density-driven metrics are conformal transformations of the Euclidean metric that shrink distances in high density ar…
cs.LG2022
Best Policy Identification in Linear MDPs
Jerome Taupin, Yassir Jedra, Alexandre Proutiere
We investigate the problem of best policy identification in discounted linear Markov Decision Processes in the fixed confidence setting under a generative model. We first derive an…