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20052024
most citedA Bernstein-Von Mises Theorem for discrete probability distributions

41 citations · 214 across the 27 of their papers we have counts for

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22 papers · 1 filter

math.ST2024

Deconvolution of repeated measurements corrupted by unknown noise

Jérémie Capitao-Miniconi, Elisabeth Gassiat, Luc Lehéricy

Recent advances have demonstrated the possibility of solving the deconvolution problem without prior knowledge of the noise distribution. In this paper, we study the repeated measu…

math.ST2023

Frontiers to the learning of nonparametric hidden Markov models

Kweku Abraham, Elisabeth Gassiat, Zacharie Naulet

Hidden Markov models (HMMs) are flexible tools for clustering dependent data coming from unknown populations, allowing nonparametric modelling of the population densities. Identifi…

math.ST2023

Support and distribution inference from noisy data

Jérémie Capitao-Miniconi, Elisabeth Gassiat, Luc Lehéricy

We consider noisy observations of a distribution with unknown support. In the deconvolution model, it has been proved recently [19] that, under very mild assumptions, it is possibl…

math.ST2022

Deconvolution of spherical data corrupted with unknown noise

Jérémie Capitao-Miniconi, Elisabeth Gassiat

We consider the deconvolution problem for densities supported on a -dimensional sphere with unknown center and unknown radius, in the situation where the distribution of the…

math.ST2021★ 9 cited

Multiple Testing in Nonparametric Hidden Markov Models: An Empirical Bayes Approach

Kweku Abraham, Ismael Castillo, Elisabeth Gassiat

Given a nonparametric Hidden Markov Model (HMM) with two states, the question of constructing efficient multiple testing procedures is considered, treating one of the states as an…

math.ST2020

Deconvolution with unknown noise distribution is possible for multivariate signals

Elisabeth Gassiat, Sylvain Le Corff, Luc Lehéricy

This paper considers the deconvolution problem in the case where the target signal is multidimensional and no information is known about the noise distribution. More precisely, no…