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20052020
most citedOptimal non-asymptotic bound of the Ruppert-Polyak averaging without strong convexity

25 citations · 28 across the 3 of their papers we have counts for

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9 papers

stat.CO20203 cited

VARCLUST: clustering variables using dimensionality reduction

Piotr Sobczyk, Stanislaw Wilczynski, Malgorzata Bogdan +5

VARCLUST algorithm is proposed for clustering variables under the assumption that variables in a given cluster are linear combinations of a small number of hidden latent variables,…

math.PR2020

Adaptive estimation of the stationary density of a stochastic differential equation driven by a fractional Brownian motion

Karine Bertin, Nicolas Klutchnikoff, Fabien Panloup +1

We build and study a data-driven procedure for the estimation of the stationary density f of an additive fractional SDE. To this end, we also prove some new concentrations bounds f…

math.ST2019

A general drift estimation procedure for stochastic differential equations with additive fractional noise

Fabien Panloup, Samy Tindel, Maylis Varvenne

In this paper we consider the drift estimation problem for a general differential equation driven by an additive multidimensional fractional Brownian motion, under ergodic assumpti…

q-bio.PE2018

Probabilistic reconstruction of genealogies for polyploid plant species

Frédéric Proïa, Fabien Panloup, Chiraz Trabelsi +1

A probabilistic reconstruction of genealogies in a polyploid population (from 2x to 4x) is investigated, by considering genetic data analyzed as the probability of allele presence…

math.PR2018

Sub-exponential convergence to equilibrium for Gaussian driven Stochastic Differential Equations with semi-contractive drift

Fabien Panloup, Alexandre Richard

The convergence to the stationary regime is studied for Stochastic Differential Equations driven by an additive Gaussian noise and evolving in a semi-contractive environment, i.e.…

math.ST201725 cited

Optimal non-asymptotic bound of the Ruppert-Polyak averaging without strong convexity

Sébastien Gadat, Fabien Panloup

This paper is devoted to the non-asymptotic control of the mean-squared error for the Ruppert-Polyak stochastic averaged gradient descent introduced in the seminal contributions of…