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 …

Bayesian conditional diffusion models for versatile spatiotemporal turbulence generation

H Gao, X Han, X Fan, L Sun, LP Liu, L Duan… - Computer Methods in …, 2024 - Elsevier
Turbulent flows, characterized by their chaotic and stochastic nature, have historically
presented formidable challenges to predictive computational modeling. Traditional eddy …

Conditional neural field latent diffusion model for generating spatiotemporal turbulence

P Du, MH Parikh, X Fan, XY Liu, JX Wang - Nature Communications, 2024 - nature.com
Eddy-resolving turbulence simulations are essential for understanding and controlling
complex unsteady fluid dynamics, with significant implications for engineering and scientific …

Learning physics for unveiling hidden earthquake ground motions via conditional generative modeling

P Ren, R Nakata, M Lacour, I Naiman, N Nakata… - arXiv preprint arXiv …, 2024 - arxiv.org
Predicting high-fidelity ground motions for future earthquakes is crucial for seismic hazard
assessment and infrastructure resilience. Conventional empirical simulations suffer from …

Generative Learning for Forecasting the Dynamics of Complex Systems

H Gao, S Kaltenbach, P Koumoutsakos - arXiv preprint arXiv:2402.17157, 2024 - arxiv.org
We introduce generative models for accelerating simulations of complex systems through
learning and evolving their effective dynamics. In the proposed Generative Learning of …

CoNFiLD-inlet: Synthetic Turbulence Inflow Using Generative Latent Diffusion Models with Neural Fields

XY Liu, MH Parikh, X Fan, P Du, Q Wang… - arXiv preprint arXiv …, 2024 - arxiv.org
Eddy-resolving turbulence simulations require stochastic inflow conditions that accurately
replicate the complex, multi-scale structures of turbulence. Traditional recycling-based …

[HTML][HTML] Taylor series error correction network for super-resolution of discretized partial differential equation solutions

W Xu, C McComb, NG Gutiérrez - Journal of Computational Physics, 2025 - Elsevier
High-fidelity engineering simulations can impose an enormous computational burden,
hindering their application in design processes or other scenarios where time or …

CoNFiLD: Conditional Neural Field Latent Diffusion Model Generating Spatiotemporal Turbulence

P Du, MH Parikh, X Fan, XY Liu, JX Wang - arXiv preprint arXiv …, 2024 - arxiv.org
This study introduces the Conditional Neural Field Latent Diffusion (CoNFiLD) model, a
novel generative learning framework designed for rapid simulation of intricate …

SEA: State-Exchange Attention for High-Fidelity Physics Based Transformers

P Esmati, A Dadashzadeh, V Goodarzi… - arXiv preprint arXiv …, 2024 - arxiv.org
Current approaches using sequential networks have shown promise in estimating field
variables for dynamical systems, but they are often limited by high rollout errors. The …

PGODE: Towards High-quality System Dynamics Modeling

X Luo, Y Gu, H Jiang, H Zhou, J Huang, W Ju… - Forty-first International … - openreview.net
This paper studies the problem of modeling multi-agent dynamical systems, where agents
could interact mutually to influence their behaviors. Recent research predominantly uses …