1 code implementation • 8 Nov 2022 • Marios Mattheakis, Gabriel R. Schleder, Daniel T. Larson, Efthimios Kaxiras
Physics-informed neural networks have been widely applied to learn general parametric solutions of differential equations.
1 code implementation • 1 Nov 2022 • Raphaël Pellegrin, Blake Bullwinkel, Marios Mattheakis, Pavlos Protopapas
Physics-Informed Neural Networks (PINNs) offer a promising approach to solving differential equations and, more generally, to applying deep learning to problems in the physical sciences.
1 code implementation • 12 Jul 2022 • Hayden Joy, Marios Mattheakis, Pavlos Protopapas
However, RC adoption has lagged other neural network models because of the model's sensitivity to its hyper-parameters (HPs).
no code implementations • 24 Feb 2022 • Henry Jin, Marios Mattheakis, Pavlos Protopapas
We expand on the method of using unsupervised neural networks for discovering eigenfunctions and eigenvalues for differential eigenvalue problems.
1 code implementation • 21 Oct 2021 • Shaan Desai, Marios Mattheakis, Hayden Joy, Pavlos Protopapas, Stephen Roberts
In this study, we present a general framework for transfer learning PINNs that results in one-shot inference for linear systems of both ordinary and partial differential equations.
no code implementations • 27 Aug 2021 • Mattia Angeli, Georgios Neofotistos, Marios Mattheakis, Efthimios Kaxiras
Population-wide vaccination is critical for containing the SARS-CoV-2 (Covid-19) pandemic when combined with restrictive and prevention measures.
1 code implementation • 25 Aug 2021 • Marios Mattheakis, Hayden Joy, Pavlos Protopapas
A closed-form formula for the optimal output weights is derived to solve first order linear equations in a backpropagation-free learning process.
1 code implementation • 16 Jul 2021 • Shaan Desai, Marios Mattheakis, David Sondak, Pavlos Protopapas, Stephen Roberts
In this study, we address the challenge of learning from such non-autonomous systems by embedding the port-Hamiltonian formalism into neural networks, a versatile framework that can capture energy dissipation and time-dependent control forces.
no code implementations • 7 Jun 2021 • Anwesh Bhattacharya, Marios Mattheakis, Pavlos Protopapas
In certain situations, neural networks are trained upon data that obey underlying symmetries.
no code implementations • 15 Jan 2021 • Tiago A. E. Ferreira, Marios Mattheakis, Pavlos Protopapas
The proposed neuron was tested for problems where the target was a purely global function, or purely local function, or a composition of two global and local functions.
1 code implementation • 10 Oct 2020 • Alessandro Paticchio, Tommaso Scarlatti, Marios Mattheakis, Pavlos Protopapas, Marco Brambilla
Studying the dynamics of COVID-19 is of paramount importance to understanding the efficiency of restrictive measures and develop strategies to defend against upcoming contagion waves.
no code implementations • 10 Oct 2020 • Henry Jin, Marios Mattheakis, Pavlos Protopapas
Eigenvalue problems are critical to several fields of science and engineering.
1 code implementation • 28 Apr 2020 • Shaan Desai, Marios Mattheakis, Stephen Roberts
Using this framework we introduce Variational Integrator Graph Networks - a novel method that unifies the strengths of existing approaches by combining an energy constraint, high-order symplectic variational integrators, and graph neural networks.
1 code implementation • 29 Jan 2020 • Marios Mattheakis, David Sondak, Akshunna S. Dogra, Pavlos Protopapas
There has been a wave of interest in applying machine learning to study dynamical systems.
no code implementations • 8 Oct 2019 • Georgios A. Tritsaris, Yiqi Xie, Alexander M. Rush, Stephen Carr, Marios Mattheakis, Efthimios Kaxiras
Two-dimensional (2D) layered materials offer intriguing possibilities for novel physics and applications.
Materials Science