17 citations · 64 across the 23 of their papers we have counts for
12 papers · 1 filter
Spiking Neural Networks with Elephant Reinforcement
Fernando A. Najman, Ioannis Papageorgiou, Sabricia K. Cauanny A. da Silveira
We introduce a finite stochastic spiking-neuron network with Elephant-type memory, in which past firing activity modifies future excitability through a reinforcement-dependent thre…
Elephant Reinforced Galves-Löcherbach Networks
Ioannis Papageorgiou
We introduce an infinite-dimensional Galves--Löcherbach system with bounded Elephant-type reinforced synaptic interactions. The reinforcement mechanism modifies the probabilities o…
A Spectral Approach to Survival Bounds for the Elephant Random Walk
Cristian Favio Coletti, Rafael de Mattos Grisi, Ioannis Papageorgiou
We study a rate-one Poissonization of the one-dimensional elephant random walk killed upon reaching . For every fixed memory parameter , we give a self-contained proo…
Replica Mean Field limits for neural networks with excitatory and inhibitory activity
Ioannis Papageorgiou
We study Replica Mean Field limits for a neural system of infinitely many neurons with both inhibitory and excitatory interactions. As a result we obtain an analytical characterisa…
Asymptotic Analysis of the Elephant Random Walk
Cristian F. Coletti, Ioannis Papageorgiou
In this work we study asymptotic properties of a long range memory random walk known as elephant random walk. First we prove recurrence and positive recurrence for the elephant ran…
Interacting systems of infinite spiking neurons with weights beyond uniform summability
Ioannis Papageorgiou
We consider an infinite system of spiking neurons with a drift and both excitatory and inhibitory connections. We study conditions for non-explosiveness and the uniqueness of the i…
The log-Sobolev inequality for spin systems of higher order interactions
Takis Konstantopoulos, Ioannis Papageorgiou
We study the infinite-dimensional log-Sobolev inequality for spin systems on with interactions of power higher than quadratic. We assume that the one site measure wi…
Modified log-Sobolev inequality for a compact PJMP with degenerate jumps
Ioannis Papageorgiou
We study the modified log-Sobolev inequality for a class of pure jump Markov processes that describe the interactions between brain neurons. In particular, we focus on a finite and…
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…
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…
Cutoff for random walks on graphs with bottlenecks
Ioannis Papageorgiou
We examine the mixing time for random walks on graphs. In particular we are interested on investigating graphs with bottlenecks. Furthermore, the cutoff phenomenon is examined.
Concentration inequalities for Gibbs measures
Ioannis Papageorgiou
We are interested in Sobolev type inequalities and their relationship with concentration properties on higher dimensions. We consider unbounded spin systems on the d-dimensional la…