Date: Thu. June 04, 2026 (16:00H)
Event: IKTrace Seminar (IMAT-CCM)
General Colloquium / Research-Oriented
The IKTrace Seminar (IMAT-CCM), is a new initiative conceived as a forum for academic exchange, discussion, and collaboration within and beyond our mathematics research group.
Title: When Equations meet Data: Inverse Problems and Hybrid-Cooperative Learning
Speaker: Prof. Roberto Morales
Affiliation: Postdoctoral Researccher. DeustoCCM – Chair of Computational Mathematics, University of Deusto
Abstract. Mathematical models are essential tools for describing, understanding, and predicting real-world phenomena. Many of these models are written in terms of differential equations, which express how physical, biological, or technological systems evolve in time and space. However, in many applications, the model is only partially known: some parameters, sources, boundary conditions, or internal mechanisms must be recovered from indirect and often noisy observations. This leads naturally to the field of inverse problems.
In this talk, we will introduce the basic ideas behind mathematical modelling with differential equations and discuss how data-driven methods, particularly neural networks, can be used as flexible tools for function approximation. We will then explain the difference between direct and inverse problems, highlighting why inverse problems are challenging and important in applications such as heat transfer, medical imaging, geophysics, and scientific machine learning.
Finally, we will present the main idea behind Hybrid-Cooperative Learning (HYCO), a framework that combines physics-based models with data-driven models through a cooperative interaction. The goal is to show how equations and data can work together to recover hidden information, improve predictions, and build more reliable models for applied problems. The talk is intended as an accessible introduction for students interested in applied mathematics, and the interaction between modelling, computation, and machine learning.
WHERE
University of Deusto, DeustoTech.
Room: Logistar (4th floor, ESIDE Building)
Unibertsitate Etorb., 24, 48007 Bilbao, Bizkaia
The seminar is intended primarily as an in-person event. However, for those who are unable to attend in person, it will also be possible to connect via this Meet link.
The seminar aims to strengthen mutual awareness of ongoing research lines, teaching interests, and interdisciplinary initiatives that will help identify shared interests, foster new synergies, and encourage future collaborations among colleagues from different areas of the Faculty of Engineering at University of Deusto.