Explosive neural networks via higher-order interactions in curved statistical manifolds

We’ve just published a new paper in Nature Communications, introducing a novel class of networks: explosive neural networks. In collaboration with Pablo Morales, Fernando Rosas, and Hideaki Shimazaki, we explore how ideas from information geometry can be used to curve the energy landscape of associative memory models. This geometric twist lead...  Read more 04 Aug 2025 - 1 minute read

Nonequilibrium thermodynamics of the asymmetric Sherrington-Kirkpatrick model

Our new paper on nonequilibrium thermodynamics of large, disordered networks - in collaboration with Masanao Igarashi and Hideaki Shimazaki - has just been published in Nature Communications. In this study we analytically calculate an exact expression for the entropy production of an asymmetric version of the Sherrington-Kirkpatric model, finding that it is maximized b...  Read more 26 Jun 2023 - 1 minute read

Ikerbasque Research Fellow position

I’m thrilled to announce that I’m starting a new position as an Ikerbasque Research Fellow at the Basque Center for Applied Mathematics, where I will join the Mathematical, Computational and Experimental Neuroscience team.

I’m really excited to start this new period in ...  Read more 01 Oct 2022 - less than 1 minute read

How particular is the physics of the free energy principle?

In a new paper in Physics of Life Reviews I present a deep mathematical exploration of the free energy principle (FEP) in collaboration with Beren Millidge, Alexander Tschantz and Chris Buckley. The FEP has gained an important momentum as an ambitious theory aiming to provide a unifying theory of mind and life, explained in terms of approximate Bayesian i...  Read more 17 Mar 2022 - 3 minute read

A unifying framework for mean-field theories of asymmetric kinetic Ising systems

I’m happy to see published this new paper in collaboration with Amin Moosavi and Hideaki Shimazaki in Nature Communications. In this paper study and unify different kinetic mean-field methods in Ising models with the objective of developing tools for studying large data-sets from networks of neurons in non-equilibrium conditions and near critical and maximally fluctuating regimes. We propose a framework that integrates previo...  Read more 19 Feb 2021 - 1 minute read

Critical integration in neural and cognitive systems: Beyond power-law scaling as the hallmark of soft assembly

I just published a new paper with Ezequiel Di Paolo in Neuroscience & Biobehavioral Reviews. Here we review the link of self-organized criticality and integrated information with ideas about soft assembly in neural and cognitive process. Studying the properties of power-law scaling processes as an indicator of properties like soft-assembly, self-organization or interaction-dominant-dynamics is a suggestiv...  Read more 30 Jan 2021 - 2 minute read

New website

Welcome to my new Jekyll website. I’ll migrate most of the content from the old one, which is still available at https://maguilera0.wordpress.com.

 Read more 02 Oct 2020 - less than 1 minute read