activity
20062024
most citedAdaptive estimation for Hawkes processes; application to genome analysis

173 citations · 380 across the 27 of their papers we have counts for

collaborators

29 papers

math.ST2024

Separation rates for the detection of synchronization of interacting point processes in a mean field frame. Application to neuroscience

Josué Tchouanti, Éva Löcherbach, Patricia Reynaud-Bouret +1

Permutation tests have been proposed by Albert et al. (2015) to detect dependence between point processes, modeling in particular spike trains, that is the time occurrences of acti…

math.ST2023

Non-asymptotic statistical test of the diffusion coefficient of stochastic differential equations

Anna Melnykova, Patricia Reynaud-Bouret, Adeline Samson

We develop several statistical tests of the determinant of the diffusion coefficient of a stochastic differential equation, based on discrete observations on a time interval $[0,T]…

cs.LG2023

On the convergence of the MLE as an estimator of the learning rate in the Exp3 algorithm

Julien Aubert, Luc Lehéricy, Patricia Reynaud-Bouret

When fitting the learning data of an individual to algorithm-like learning models, the observations are so dependent and non-stationary that one may wonder what the classical Maxim…

math.ST2023

Provable local learning rule by expert aggregation for a Hawkes network

Sophie Jaffard, Samuel Vaiter, Alexandre Muzy +1

We propose a simple network of Hawkes processes as a cognitive model capable of learning to classify objects. Our learning algorithm, named HAN for Hawkes Aggregation of Neurons, i…

math.ST2022

Neural Coding as a Statistical Testing Problem

Guilherme Ost, Patricia Reynaud-Bouret

We take the testing perspective to understand what the minimal discrimination time between two stimuli is for different types of rate coding neurons. Our main goal is to describe t…

math.ST2021

Sliding window strategy for convolutional spike sorting with Lasso : Algorithm, theoretical guarantees and complexity

Laurent Dragoni, Rémi Flamary, Karim Lounici +1

Spike sorting is a class of algorithms used in neuroscience to attribute the time occurences of particular electric signals, called action potential or spike, to neurons. We rephra…