Bayesian data assimilation combines model forecasts with noisy observations, but sampling high-dimensional, non-Gaussian posteriors remains challenging. We introduce an observation-interpolant framework that turns pretrained stochastic interpolant, flow matching, and diffusion models into posterior samplers without ret...
Many approaches have recently been proposed to combine data assimilation with machine learning for improved forecasts with geophysical models. Here, we focus on combining advanced sequential data assimilation schemes with a generative forecasting model which accounts for complex model errors. This generative model prov...
Particle filters provide a nonlinear Bayesian framework for data assimilation, but global weights often degenerate in high-dimensional geophysical systems. Ensemble Kalman filters are stable with practical ensemble sizes, yet their Gaussian and locally linear updates can be restrictive for nonlinear observations and...
Meng-Ge Zhou, Xiao-Qun Cao, Yan Chen et al.· Monthly Weather Review· 0 citations
Data Assimilation (DA) aims to recover the full state of a dynamical system that is only partially observed. A solution is to use Score-based models to generate physically consistent trajectories that agree with the observations. These Autoregressive Diffusion models are trained by conditioning on the previous state; h...
This study evaluates three real-time Kalman filter (KF) approaches—Mean Field (MKF), Site-Specific (SKF), and Lagrangian (LKF)—for radar rainfall bias correction in northern China. While SKF addresses spatial heterogeneity using independent gauge-location filters, LKF advects a gridded log-bias correction field with st...