4 papers
Neural Fractional Differential Equations
C. Coelho, M. Fernanda P. Costa, L. L. Ferrás
Fractional Differential Equations (FDEs) are essential tools for modelling complex systems in science and engineering. They extend the traditional concepts of differentiation and i…
An Adaptive Hydropower Management Approach for Downstream Ecosystem Preservation
C. Coelho, M. Jing, M. Fernanda P. Costa +1
Hydropower plants play a pivotal role in advancing clean and sustainable energy production, contributing significantly to the global transition towards renewable energy sources. Ho…
A Two-Stage Training Method for Modeling Constrained Systems With Neural Networks
C. Coelho, M. Fernanda P. Costa, L. L. Ferrás
Real-world systems are often formulated as constrained optimization problems. Techniques to incorporate constraints into Neural Networks (NN), such as Neural Ordinary Differential…
A Self-Adaptive Penalty Method for Integrating Prior Knowledge Constraints into Neural ODEs
C. Coelho, M. Fernanda P. Costa, L. L. Ferrás +1
The continuous dynamics of natural systems has been effectively modelled using Neural Ordinary Differential Equations (Neural ODEs). However, for accurate and meaningful prediction…