My interests

I am interested mainly in the mathematical modeling and data analysis of problems from any discipline, from physics or engineering, as well as from the social and life sciences. I find especially attractive those problems that allow them to be studied from the point of view of complex networks, graph theory, and applied mathematical analysis.

Diffusion Processes. I am interested in studying anomalous diffusion processes using artificial intelligence tools. These processes are characterized by a nonlinear growth of the mean square displacement of particles. In recent years, we have observed that such phenomena arise across many disciplines, ranging from biology and economics to human behavior. I am currently working with video data, focusing on trajectory analysis and change-point detection. In this context, I am also interested in the study of frequency combs can be interpreted as the spectral manifestation of anomalous diffusion in phase space, where long-range correlations and dynamical memory break spectral continuity. My main collaborators in this line are Carlos Lizama (GAFEVOL), Marina Murillo-Arcila (UCA), Carles Milián (IUMPA), Carlos Mas-Arabi (IUMPA), Alejandro Martínez (NTC), and  Miguel A. García March (IUMPA).

Artificial Intelligence for sustainability. I am working on the use of LLMs for supporting scientific evidence of SDG policies. In this topic, I have been collaborating with Ricardo Vinuesa (U. Michigan – KTH) , Sergio Hoyas (UPV), and Francesca Larosa (KTH).  I was also a proud member of the Data Science against COVID-19 Task Force, led by Nuria Oliver (Ellis Alicante). We have specialized in outbreak modeling and predicting the evolution of COVID-19 pandemics via Recurrent Neural Networks.

I have also collaborated in several interdisciplinary projects with other groups:

(1) Biomedical data science. With the BDSLab (ITACA) I have collaborated in the analysis of data quaity of repositories and in the design of apps for collecting patient information to feed predictive models. I have collaborated with Juan Miguel García Gómez and Carlos Sáez Silvestre.

(2) Mathematical Foundations of Quantum Computing. I have studied the structure and behavior of optimization algorithms that, in their configuration, use tensor products and their connections with Quantum Computing with Antonio Falcó (ESI Chair at Universidad Cardenal Herrera).

(3) Mathematical Modeling in Biology. I am working in plants with Diego Orzáez Lab (IBMCP) and at the cellular level with Guillermo Rodrigo (I2SysBio).

(4) Complex Networks Modelling. I am interested in applications to any discipline in network communications, image processing, linguistics, and many more. I have also working on the data visualization of Science Maps in collaboration with E. Orduña and M. Rebollo. See here our doctorate course.

(5) Modelling in Industrial Engineering. I work in signal processing for the detection of failures in electrical machines & energy efficiency problems with Jose A. Antonino (Instituto Tecnología Energética).

You can also check my publications at ResearcherID, SCOPUS, ORCID, and ResearchGate.