Efficient Adaptation of ROMs for Unsteady Flows Using Data Assimilation

arXiv:2602.23188 · cs.LG, physics.flu-dyn · Submitted 2026-02-26 · Read on arXiv

cs.LG, physics.flu-dyn

Submitted: 2026-02-26

Updated: 2026-09-01

Code: https://github.com/IsmaelZig-SU/p-DynSys_EncoderTransformerDecoder

Terminology

• Fine-Tuning — 28× in this paper · explained in 5 episodes
• Data Assimilation — 16× in this paper · explained in 2 episodes
• Latent Space — 16× in this paper · explained in 7 episodes
• Transformer — 16× in this paper · explained in 2 episodes
• Uncertainty Quantification — 11× in this paper · explained in 8 episodes
• Adaptation — 9× in this paper · explained in 1 episode
• Reduced Order Model — 8× in this paper
• Accuracy — 7× in this paper · explained in 1 episode
• Fidelity — 6× in this paper · explained in 2 episodes
• Loss Function — 6× in this paper · explained in 2 episodes
• Wasserstein Distance — 6× in this paper · explained in 4 episodes
• Reconstruction Error — 5× in this paper · explained in 2 episodes
• Embeddings — 4× in this paper · explained in 2 episodes
• Latent Dynamics — 4× in this paper · explained in 2 episodes
• Latent Representation — 4× in this paper · explained in 2 episodes
• Variational Autoencoder (VAE) — 4× in this paper · explained in 3 episodes
• 2-Wasserstein Distance — 3× in this paper · explained in 1 episode
• Attention Mechanism — 3× in this paper · explained in 3 episodes
• Chaotic Dynamics — 2× in this paper · explained in 2 episodes
• Decode — 2× in this paper · explained in 2 episodes
• Dynamical regimes — 2× in this paper · explained in 2 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Latent Representations — 2× in this paper · explained in 3 episodes
• Optimal Transport — 2× in this paper · explained in 5 episodes
• Reinforcement Learning — 2× in this paper · explained in 4 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Adaptability — 1× in this paper · explained in 1 episode
• Aleatoric Uncertainty — 1× in this paper · explained in 5 episodes
• Alignment — 1× in this paper · explained in 1 episode
• Domain Adaptation — 1× in this paper · explained in 5 episodes
• Geometric Mismatch — 1× in this paper · explained in 2 episodes
• Hybrid System — 1× in this paper · explained in 2 episodes
• Inverse Problem — 1× in this paper · explained in 2 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Singular Value Decomposition — 1× in this paper
• Singular Value Decomposition (SVD) — 1× in this paper · explained in 2 episodes
• Variational Bayes — 1× in this paper · explained in 2 episodes

Sources

• Real-time forecasting of chaotic dynamics from sparse data and autoencoders
• Latent-space variational data assimilation in two-dimensional turbulence
• Auto-Encoding Variational Bayes

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