Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Ost, Guilherme"'
We consider a system of binary interacting chains describing the dynamics of a group of $N$ components that, at each time unit, either send some signal to the others or remain silent otherwise. The interactions among the chains are encoded by a direc
Externí odkaz:
http://arxiv.org/abs/2406.07066
We study random walks on Erd\"os-R\'enyi random graphs in which, every time the random walk returns to the starting point, first an edge probability is independently sampled according to a priori measure $\mu$, and then an Erd\"os-R\'enyi random grap
Externí odkaz:
http://arxiv.org/abs/2310.12355
Publikováno v:
Mathematical Neuroscience and Applications, Volume 3 (December 29, 2023) mna:10002
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 the testing abilities of two different encoding systems: place cells an
Externí odkaz:
http://arxiv.org/abs/2209.00950
Autor:
Ost, Guilherme, Takahashi, Daniel
Finite order Markov models are theoretically well-studied models for dependent discrete data. Despite their generality, application in empirical work when the order is large is rare. Practitioners avoid using higher order Markov models because (1) th
Externí odkaz:
http://arxiv.org/abs/2202.08007
Autor:
Hernández, Noslen, Duarte, Aline, Ost, Guilherme, Fraiman, Ricardo, Galves, Antonio, Vargas, Claudia D.
Using a new probabilistic approach we model the relationship between sequences of auditory stimuli generated by stochastic chains and the electroencephalographic (EEG) data acquired while 19 participants were exposed to those stimuli. The structure o
Externí odkaz:
http://arxiv.org/abs/2001.11502
Autor:
Chevallier, Julien, Ost, Guilherme
In a previous paper, it has been shown that the mean-field limit of spatially extended Hawkes processes is characterized as the unique solution $u(t,x)$ of a neural field equation (NFE). The value $u(t,x)$ represents the membrane potential at time $t
Externí odkaz:
http://arxiv.org/abs/1909.06401
Inspired by Kalikow-type decompositions, we introduce a new stochastic model of infinite neuronal networks, for which we establish sharp oracle inequalities for Lasso methods and restricted eigenvalue properties for the associated Gram matrix with hi
Externí odkaz:
http://arxiv.org/abs/1807.07615
One of the main current issues in Neurobiology concerns the understanding of interrelated spiking activity among multineuronal ensembles and differences between stimulus-driven and spontaneous activity in neurophysiological experiments. Multi electro
Externí odkaz:
http://arxiv.org/abs/1612.05226
Non-linear Hawkes processes with memory kernels given by the sum of Erlang kernels are considered. It is shown that their stability properties can be studied in terms of an associated class of piecewise deterministic Markov processes, called Markovia
Externí odkaz:
http://arxiv.org/abs/1610.03300
Publikováno v:
J Stat Phys, 2015, Volume 161, Issue 5, pp 1163:1202
In this paper we study the hydrodynamic limit for a stochastic process describing the time evolution of the membrane potentials of a system of neurons with spatial dependency. We do not impose on the neurons mean-field type interactions. The values o
Externí odkaz:
http://arxiv.org/abs/1503.05974