7 citations · 7 across the 5 of their papers we have counts for
7 papers
Probabilistic reconstruction of truncated particle trajectories on a closed surface
Yunjiao Lu, Pierre Hodara, Charles Kervrann +1
Investigation of dynamic processes in cell biology very often relies on the observation in two dimensions of 3D biological processes. Consequently, the data are partial and statist…
Concentration and Poincaré type inequalities for a degenerate pure jump Markov process
Pierre Hodara, Ioannis Papageorgiou
We study Talagrand concentration and Poincaré type inequalities for unbounded pure jump Markov processes. In particular we focus on processes with degenerate jumps that depend on t…
Exponential inequality for chaos based on sampling without replacement
P Hodara, Patricia Reynaud-Bouret
We are interested in the behavior of particular functionals, in a framework where the only source of randomness is a sampling without replacement. More precisely the aim of this sh…
Poincaré type inequalities for compact degenerate pure jump Markov processes
Pierre Hodara, Ioannis Papageorgiou
We aim in proving Poincaré inequalities for a class of pure jump Markov processes inspired by the model introduced in \cite{G-L} by Galves and Löcherbach to describe the behaviour…
Estimation of neuronal interaction graph from spike train data
Ludmila Brochini, Antonio Galves, Pierre Hodara +2
One of the main current issues in Neurobiology concerns the understanding of interrelated spiking activity among multineuronal ensembles and differences between stimulus-driven and…
Non-parametric estimation of the spiking rate in systems of interacting neurons
Pierre Hodara, Nathalie Krell, Eva Löcherbach
We consider a model of interacting neurons where the membrane potentials of the neurons are described by a multidimensional piecewise deterministic Markov process (PDMP) with value…
Hawkes processes with variable length memory and an infinite number of components
Pierre Hodara, Eva Löcherbach
In this paper, we build a model for biological neural nets where the activity of the network is described by Hawkes processes having a variable length memory. The particularity of…