mlsanityData to 14 Oct 2026

Multimodal Spatiotemporal Atmospheric Data Assimilation with Latent Video Flow-matching

arXiv 2608.05103 ↗First posted 5 Aug 2026cs.LG math-ph math.MPcited by 0

On the map: Diffusion models → Flow matching, time series and science

Abstract (arXiv)

Data assimilation (DA) uses Bayesian inference to update the state of a numerical forecast model with observed data. In this study, we propose a fundamentally different, unified approach to atmospheric data assimilation. We use latent video flow-matching to sample temporally consistent trajectories from a prior trained using ERA5 reanalysis (69 variables over an 8-day window). We also use posterior sampling to assimilate real observation sources, such as those from the NOAA Integrated Global Radiosonde Archive and the Integrated Surface Database. Because the prior generates a continuous trajectory, it naturally propagates information between observed and unobserved frames. Therefore, we can perform various DA tasks, such as filtering and smoothing, simply by changing the observed frames. Moreover, we generate full-state ensemble forecasts directly from sparse observations, achieving performance competitive with state-of-the-art observation-to-forecast models.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 20 of its 92 references that are in the map. First posted on arXiv 5 Aug 2026.

Builds on

20 of 92 references.

Closest ancestors · 6

Same direction, newest first

  1. 2025PhyDA: Physics-Guided Diffusion Models for Data Assimilation in Atmospheric Systems19 May
  2. 2025Appa: Bending Weather Dynamics with Latent Diffusion Models for Global Data Assimilation25 Apr
  3. 2025Ensemble score filter with image inpainting for data assimilation in tracking surface quasi-geostrophic dynamics with partial observations20 Jan
  4. 2024DiffDA: a Diffusion Model for Weather-scale Data Assimilation11 Jan
  5. 2022Flow Matching for Generative Modeling6 Oct
  6. 2022Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow7 Sep

Other references · 14

  1. 2014Adam: A Method for Stochastic Optimizationcited by 37,240
  2. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 9,122
  3. 2022Classifier-Free Diffusion Guidancecited by 5,847
  4. 2021SDEdit: Guided Image Synthesis and Editing with Stochastic Differential Equationscited by 1,937
  5. 2017Decoupled Weight Decay Regularizationcited by 1,831
  6. 2022Diffusion Posterior Sampling for General Noisy Inverse Problemscited by 1,416
  7. 2018Averaging Weights Leads to Wider Optima and Better Generalizationcited by 1,209
  8. 2022Zero-Shot Image Restoration Using Denoising Diffusion Null-Space Modelcited by 583
  9. 2024Guidance with Spherical Gaussian Constraint for Conditional Diffusioncited by 71
  10. 2024GraphDOP: Towards skilful data-driven medium-range weather forecasts learnt and initialised directly from observationscited by 27
  11. 2024Generative Diffusion-based Downscaling for Climatecited by 25
  12. 2022Physics-Informed CNNs for Super-Resolution of Sparse Observations on Dynamical Systemscited by 8
2 more
  1. 2025Generative assimilation and prediction for weather and climatecited by 8
  2. 2025STeP: A Framework for Solving Scientific Video Inverse Problems with Spatiotemporal Diffusion Priorscited by 3

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  1. 2026A Unified Framework for Bayesian Data Assimilation with Generative Models and Observation Interpolants
  2. 2026LD-EnFF: Latent-Dynamics Ensemble Flow Filtering for Data Assimilation with Sparse Observations
  3. 2026DAWIS: Data Assimilation with Windowed Inverse Sampling via Multitask Interpolants
  4. 2025Flow Matching for Efficient and Scalable Data Assimilation
  5. 2026Benchmarking Generative Models for Weather Data Assimilation on Real Station Observations
  6. 2026EnJoi: Ensemble Joint Score Filter for Generative Data Assimilation
  7. 2026Improving Ensemble Filters with Flow Matching
  8. 2024Generative Data Assimilation of Sparse Weather Station Observations at Kilometer Scales