Search Results for author: Lucia Russo

Found 4 papers, 0 papers with code

A physics-informed neural network method for the approximation of slow invariant manifolds for the general class of stiff systems of ODEs

no code implementations18 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.

Slow Invariant Manifolds of Singularly Perturbed Systems via Physics-Informed Machine Learning

no code implementations14 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.

Numerical Integration Physics-informed machine learning

Data-driven Control of Agent-based Models: an Equation/Variable-free Machine Learning Approach

no code implementations12 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.

Parsimonious Physics-Informed Random Projection Neural Networks for Initial-Value Problems of ODEs and index-1 DAEs

no code implementations10 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.

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