Search Results for author: Marios Mattheakis

Found 15 papers, 9 papers with code

First principles physics-informed neural network for quantum wavefunctions and eigenvalue surfaces

1 code implementation8 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.

Transfer Learning with Physics-Informed Neural Networks for Efficient Simulation of Branched Flows

1 code implementation1 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.

Transfer Learning

RcTorch: a PyTorch Reservoir Computing Package with Automated Hyper-Parameter Optimization

1 code implementation12 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).

Physics-Informed Neural Networks for Quantum Eigenvalue Problems

no code implementations24 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.

One-Shot Transfer Learning of Physics-Informed Neural Networks

1 code implementation21 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.

Transfer Learning

Modeling the effect of the vaccination campaign on the Covid-19 pandemic

no code implementations27 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.

Unsupervised Reservoir Computing for Solving Ordinary Differential Equations

1 code implementation25 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.

Bayesian Optimization

Port-Hamiltonian Neural Networks for Learning Explicit Time-Dependent Dynamical Systems

1 code implementation16 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.

Encoding Involutory Invariances in Neural Networks

no code implementations7 Jun 2021 Anwesh Bhattacharya, Marios Mattheakis, Pavlos Protopapas

In certain situations, neural networks are trained upon data that obey underlying symmetries.

A New Artificial Neuron Proposal with Trainable Simultaneous Local and Global Activation Function

no code implementations15 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.

Semi-supervised Neural Networks solve an inverse problem for modeling Covid-19 spread

1 code implementation10 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.

Unsupervised Neural Networks for Quantum Eigenvalue Problems

no code implementations10 Oct 2020 Henry Jin, Marios Mattheakis, Pavlos Protopapas

Eigenvalue problems are critical to several fields of science and engineering.

Variational Integrator Graph Networks for Learning Energy Conserving Dynamical Systems

1 code implementation28 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.

Inductive Bias

LAN -- A materials notation for 2D layered assemblies

no code implementations8 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

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