9 papers
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…
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…
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…
A functional analytic theory for differential equations on Banach spaces with slowly evolving parameters
Dirk Doorakkers, Daniele Avitabile, Jan Bouwe van den Berg
This paper provides a functional analytic approach to differential equations on Banach space with slowly evolving parameters. We develop a Fenichel-like theory for attracting subse…
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…
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…