FREESIA: Covariance-Aware Posterior Transport for Expressive and Scalable Data Assimilation

arXiv:2609.25085 · stat.ML, cs.LG, cs.NA, math.NA · Submitted 2026-09-19 · Read on arXiv

stat.ML, cs.LG, cs.NA, math.NA

Submitted: 2026-09-19

Updated: 2026-09-26

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

Terminology

• Data Assimilation — 17× in this paper · explained in 2 episodes
• Benchmark — 6× in this paper · explained in 2 episodes
• Ablation — 5× in this paper · explained in 1 episode
• Accuracy — 4× in this paper · explained in 1 episode
• Flow Matching — 4× in this paper · explained in 8 episodes
• Angular Error — 2× in this paper · explained in 1 episode
• Consistency — 2× in this paper · explained in 3 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Adaptation — 1× in this paper · explained in 1 episode
• Degeneracy — 1× in this paper · explained in 3 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Generative AI — 1× in this paper · explained in 2 episodes
• Generative Model — 1× in this paper · explained in 2 episodes
• Generative Modeling — 1× in this paper · explained in 3 episodes
• Generative Models — 1× in this paper · explained in 2 episodes
• Intrinsic Dimension — 1× in this paper · explained in 2 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
• Optimal Transport — 1× in this paper · explained in 5 episodes
• Sparsity — 1× in this paper · explained in 4 episodes
• Theoretical Guarantees — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes
• Wasserstein Distance — 1× in this paper · explained in 4 episodes

Sources

• Flow Matching for Efficient and Scalable Data Assimilation

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