Latent Evolution Operator (LEO): State-to-State Forecasting of Parametric PDEs

arXiv:2505.09063 · cs.LG, cs.NA, math.NA · Submitted 2025-05-14 · Read on arXiv

cs.LG, cs.NA, math.NA

Submitted: 2025-05-14

Updated: 2026-10-14

Comments: 44 pages, 19 figures. Substantially revised and expanded version. Renamed Latent Evolution Operator (LEO), with an extended theoretical formulation and additional numerical experiments

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

Terminology

• Accuracy — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Computational Fluid Dynamics (CFD) — 1× in this paper · explained in 2 episodes
• Decoder — 1× in this paper · explained in 2 episodes
• Direct Concatenation Propagator — 1× in this paper
• Fidelity — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Latent Representation — 1× in this paper · explained in 2 episodes
• Latent Representations — 1× in this paper · explained in 3 episodes
• Latent Space — 1× in this paper · explained in 7 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Surrogate Modeling — 1× in this paper · explained in 2 episodes

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