Search Results for author: Mathieu Desroches

Found 6 papers, 1 papers with code

Observing hidden neuronal states in experiments

no code implementations29 Aug 2023 Dmitry Amakhin, Anton Chizhov, Guillaume Girier, Mathieu Desroches, Jan Sieber, Serafim Rodrigues

We construct systematically experimental steady-state bifurcation diagrams for entorhinal cortex neurons.

Synchronization in STDP-driven memristive neural networks with time-varying topology

no code implementations17 Apr 2023 Marius E. Yamakou, Mathieu Desroches, Serafim Rodrigues

In particular, we found that decreasing $P$ (which enhances the strengthening effect of STDP on the average synaptic weight) and increasing $F$ (which speeds up the swapping rate of synapses between neurons) always lead to higher and more stable degrees of CS and PS in small-world and random networks, provided that the network parameters such as the synaptic time delay $\tau_c$, the average degree $\langle k \rangle$, and the rewiring probability $\beta$ have some appropriate values.

Spike-adding and reset-induced canard cycles in adaptive integrate and fire models

no code implementations29 Jan 2021 Mathieu Desroches, Piotr Kowalczyk, Serafim Rodrigues

We study a class of planar integrate and fire (IF) models called adaptive integrate and fire (AIF) models, which possesses an adaptation variable on top of membrane potential, and whose subthreshold dynamics is piecewise linear (PWL).

Dynamical Systems Neurons and Cognition

Why we should use Topological Data Analysis in Ageing: towards defining the "Topological shape of ageing"

no code implementations14 Aug 2020 Tamàs Fülöp, Mathieu Desroches, Fernando Antônio Nóbrega Santos, Serafim Rodrigues

Living systems are subject to the arrow of time; from birth, they undergo complex transformations (self-organization) in a constant battle for survival, but inevitably ageing and disease trap them to death.

Topological Data Analysis

A modular architecture for transparent computation in Recurrent Neural Networks

1 code implementation7 Sep 2016 Giovanni Sirio Carmantini, Peter beim Graben, Mathieu Desroches, Serafim Rodrigues

We then show that the Goedelization of versatile shifts defines nonlinear dynamical automata, dynamical systems evolving on a vectorial space.

Turing Computation with Recurrent Artificial Neural Networks

no code implementations4 Nov 2015 Giovanni S Carmantini, Peter beim Graben, Mathieu Desroches, Serafim Rodrigues

We improve the results by Siegelmann & Sontag (1995) by providing a novel and parsimonious constructive mapping between Turing Machines and Recurrent Artificial Neural Networks, based on recent developments of Nonlinear Dynamical Automata.

Cannot find the paper you are looking for? You can Submit a new open access paper.