Generative learning for forecasting the dynamics of high-dimensional complex systems

H Gao, S Kaltenbach, P Koumoutsakos - Nature Communications, 2024 - nature.com
We introduce generative models for accelerating simulations of high-dimensional systems
through learning and evolving their effective dynamics. In the proposed Generative Learning …

[HTML][HTML] Towards optimal β-variational autoencoders combined with transformers for reduced-order modelling of turbulent flows

Y Wang, A Solera-Rico, CS Vila, R Vinuesa - International Journal of Heat …, 2024 - Elsevier
Variational autoencoders (VAEs) have shown promising potential as artificial neural
networks (NN) for developing reduced-order models (ROMs) in the context of turbulent …

A conditional latent autoregressive recurrent model for generation and forecasting of beam dynamics in particle accelerators

M Rautela, A Williams, A Scheinker - Scientific Reports, 2024 - nature.com
Particle accelerators are complex systems that focus, guide, and accelerate intense charged
particle beams to high energy. Beam diagnostics present a challenging problem due to …

[HTML][HTML] Multi-scale time-stepping of Partial Differential Equations with transformers

AP Hemmasian, AB Farimani - Computer Methods in Applied Mechanics …, 2024 - Elsevier
Developing fast surrogates for Partial Differential Equations (PDEs) will accelerate design
and optimization in almost all scientific and engineering applications. Neural networks have …

Generative adversarial reduced order modelling

D Coscia, N Demo, G Rozza - Scientific Reports, 2024 - nature.com
In this work, we present GAROM, a new approach for reduced order modeling (ROM) based
on generative adversarial networks (GANs). GANs attempt to learn to generate data with the …

Branched latent neural maps

M Salvador, AL Marsden - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
Abstract We introduce Branched Latent Neural Maps (BLNMs) to learn finite dimensional
input–output maps encoding complex physical processes. A BLNM is defined by a simple …

Easy attention: A simple self-attention mechanism for transformers

M Sanchis-Agudo, Y Wang, K Duraisamy… - arXiv preprint arXiv …, 2023 - arxiv.org
To improve the robustness of transformer neural networks used for temporal-dynamics
prediction of chaotic systems, we propose a novel attention mechanism called easy …

Causality analysis of large-scale structures in the flow around a wall-mounted square cylinder

Á Martínez-Sánchez, E López… - Journal of Fluid …, 2023 - cambridge.org
The aim of this work is to analyse the formation mechanisms of large-scale coherent
structures in the flow around a wall-mounted square cylinder, due to their impact on pollutant …

[HTML][HTML] A deep neural network reduced order model for unsteady aerodynamics of pitching airfoils

G Baldan, A Guardone - Aerospace Science and Technology, 2024 - Elsevier
A machine learning framework is developed to compute the aerodynamic forces and
moment coefficients for a pitching NACA0012 airfoil incurring in light and deep dynamic …

Opportunities for machine learning in scientific discovery

R Vinuesa, J Rabault, H Azizpour, S Bauer… - arXiv preprint arXiv …, 2024 - arxiv.org
Technological advancements have substantially increased computational power and data
availability, enabling the application of powerful machine-learning (ML) techniques across …