activity
20202026
most citedWell-posedness and regularity of solutions to neural field problems with dendritic processing

2 citations · 2 across the 9 of their papers we have counts for

collaborators

10 papers

cs.CV2026

Exploring Clustering Capability of Inpainting Model Embeddings for Pattern-based Individual Identification

Jens van Bijsterveld, Daniele Avitabile, Fons J. Verbeek +1

In this paper, we explore deep learning techniques for individual identification of animals based on their skin patterns. Individual identification is crucial in biodiversity monit…

q-bio.NC2025

State and Parameter Estimation for a Neural Model of Local Field Potentials

Daniele Avitabile, Gabriel J. Lord, Khadija Meddouni

The study of cortical dynamics during different states such as decision making, sleep and movement, is an important topic in Neuroscience. Modelling efforts aim to relate the neura…

math.PR2025

Guided filtering and smoothing for infinite-dimensional diffusions

Thorben Pieper-Sethmacher, Daniele Avitabile, Frank van der Meulen

We consider the filtering and smoothing problems for an infinite-dimensional diffusion process X, observed through a finite-dimensional representation at discrete points in time. A…

math.NA2025

Stochastic collocation schemes for Neural Field Equations with random data

Daniele Avitabile, Francesca Cavallini, Svetlana Dubinkina +1

We develop and analyse numerical schemes for uncertainty quantification in neural field equations subject to random parametric data in the synaptic kernel, firing rate, external st…

math.NA2025

Neural Field Equations with random data

Daniele Avitabile, Francesca Cavallini, Svetlana Dubinkina +1

We study neural field equations, which are prototypical models of large-scale cortical activity, subject to random data. We view this spatially-extended, nonlocal evolution equatio…

math.NA2025

Radial Basis Function Techniques for Neural Field Models on Surfaces

Sage B Shaw, Zachary P Kilpatrick, Daniele Avitabile

We present a numerical framework for solving neural field equations on surfaces using Radial Basis Function (RBF) interpolation and quadrature. Neural field models describe the evo…

math.PR2025

Poisson Hypothesis and large-population limit for networks of spiking neurons

Daniele Avitabile, Michel Davydov

We study mean-field descriptions for spatially-extended networks of linear (leaky) and quadratic integrate-and-fire neurons with stochastic spiking times. We consider large-populat…

math.PR2024

Neural Fields and Noise-Induced Patterns in Neurons on Large Disordered Networks

Daniele Avitabile, James MacLaurin

We study pattern formation in class of a large-dimensional neural networks posed on random graphs and subject to spatio-temporal stochastic forcing. Under generic conditions on cou…

math.AP2024★ 2 cited

Well-posedness and regularity of solutions to neural field problems with dendritic processing

Daniele Avitabile, Nikolai V. Chemetov, Pedro M. Lima

We study solutions to a recently proposed neural field model in which dendrites are modelled as a continuum of vertical fibres stemming from a somatic layer. Since voltage propagat…

math.DS2020

Bump attractors and waves in networks of leaky integrate-and-fire neurons

D. Avitabile, J. L. Davis, K. C. A. Wedgwood

Bump attractors are wandering localised patterns observed in in vivo experiments of spatially-extended neurobiological networks. They are important for the brain's navigational sys…