Data-Driven Forecasting of High-Dimensional Transient and Stationary Processes via Space-Time Projection

arXiv:2503.23686 · cs.LG, astro-ph.GA, nlin.CD, physics.comp-ph, physics.data-an, physics.flu-dyn · Submitted 2025-03-31 · Read on arXiv

cs.LG, astro-ph.GA, nlin.CD, physics.comp-ph, physics.data-an, physics.flu-dyn

Submitted: 2025-03-31

Updated: 2025-03-31

Journal ref: Proceedings of the Royal Society A, 2026, 482, 20250454

DOI: 10.1098/rspa.2025.0454

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Accuracy — 23× in this paper · explained in 1 episode
• Long Short-Term Memory — 5× in this paper
• Benchmark — 4× in this paper · explained in 2 episodes
• Singular Value Decomposition — 3× in this paper
• Space-Time Projection — 3× in this paper
• Data Assimilation — 2× in this paper · explained in 2 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Rooted in Proper Orthogonal Decomposition — 2× in this paper
• Time Series Forecasting — 2× in this paper · explained in 3 episodes
• Adam — 1× in this paper · explained in 2 episodes
• Chaotic Dynamics — 1× in this paper · explained in 2 episodes
• Conservation Laws — 1× in this paper · explained in 3 episodes
• Core — 1× in this paper · explained in 2 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• In European Conference on Computer Vision — 1× in this paper
• Latent Dynamics — 1× in this paper · explained in 2 episodes
• Latent Space — 1× in this paper · explained in 7 episodes
• Singular Value Decomposition (SVD) — 1× in this paper · explained in 2 episodes
• Transformer — 1× in this paper · explained in 2 episodes

Sources

• Learning Phrase Representations using RNN Encoder-Decoder for Statistical Machine Translation
• Stochastic reduced-order Koopman model for turbulent flows

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