PR-Smoother: Simulator-Preserving Non-Gaussian Smoothing for Data Assimilation

arXiv:2609.26890 · cs.LG, nlin.CD, physics.ao-ph · Submitted 2026-09-22 · Read on arXiv

cs.LG, nlin.CD, physics.ao-ph

Submitted: 2026-09-22

Updated: 2026-09-28

Comments: Accepted at Neurips 2026

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

Terminology

• Calibration — 11× in this paper · explained in 7 episodes
• Generative Model — 6× in this paper · explained in 2 episodes
• Benchmark — 5× in this paper · explained in 2 episodes
• Transformer — 5× in this paper · explained in 2 episodes
• Latent Space — 4× in this paper · explained in 7 episodes
• Normalizing Flow — 4× in this paper · explained in 3 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Adam — 3× in this paper · explained in 2 episodes
• Amortization — 3× in this paper · explained in 1 episode
• Core — 3× in this paper · explained in 2 episodes
• Normalizing Flows — 3× in this paper · explained in 4 episodes
• Diffusion Model — 2× in this paper · explained in 8 episodes
• Diffusion Models — 2× in this paper · explained in 6 episodes
• Institutional Review Board — 2× in this paper
• KL Regularization — 2× in this paper · explained in 2 episodes
• Regularization — 2× in this paper · explained in 3 episodes
• Simulation-based Inference — 2× in this paper · explained in 2 episodes
• System Identification — 2× in this paper · explained in 3 episodes
• Temporal Correlations — 2× in this paper · explained in 2 episodes
• Ablation — 1× in this paper · explained in 1 episode
• Ablation study — 1× in this paper · explained in 1 episode
• Adaptive Sampling — 1× in this paper · explained in 1 episode
• Bayesian Inference — 1× in this paper · explained in 5 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Distribution Shift — 1× in this paper · explained in 5 episodes
• Flow Matching — 1× in this paper · explained in 7 episodes
• Interpretability — 1× in this paper · explained in 15 episodes
• Latent Dynamics — 1× in this paper · explained in 2 episodes
• Latent Representation — 1× in this paper · explained in 2 episodes
• Physics Rollout — 1× in this paper
• Robustness — 1× in this paper · explained in 5 episodes
• Unified Framework — 1× in this paper · explained in 5 episodes
• Variational Bayes — 1× in this paper · explained in 2 episodes

Sources

• FlowDAS: A Stochastic Interpolant-based Framework for Data Assimilation
• FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operators

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