no code implementations • 18 Mar 2024 • Dimitrios G. Patsatzis, Lucia Russo, Constantinos Siettos
We present a physics-informed neural network (PINN) approach for the discovery of slow invariant manifolds (SIMs), for the most general class of fast/slow dynamical systems of ODEs.
no code implementations • 14 Sep 2023 • Dimitrios G. Patsatzis, Gianluca Fabiani, Lucia Russo, Constantinos Siettos
A comparison of the computational costs between symbolic, automatic and numerical approximation of the required derivatives in the learning process is also provided.
no code implementations • 12 Jul 2022 • Dimitrios G. Patsatzis, Lucia Russo, Ioannis G. Kevrekidis, Constantinos Siettos
We present an Equation/Variable free machine learning (EVFML) framework for the control of the collective dynamics of complex/multiscale systems modelled via microscopic/agent-based simulators.
no code implementations • 10 Mar 2022 • Gianluca Fabiani, Evangelos Galaris, Lucia Russo, Constantinos Siettos
The unknown weights between the hidden and output layer are computed by Newton's iterations, using the Moore-Penrose pseudoinverse for low to medium, and sparse QR decomposition with regularization for medium to large scale systems.