Ensemble Score Filter with Image Inpainting for Data Assimilation in Tracking Surface Quasi-geostrophic Dynamics with Partial Observations
Abstract. Data assimilation plays a pivotal role in understanding and predicting turbulent systems within geoscience and weather forecasting, where data assimilation is used to address three fundamental challenges, i.e., high-dimensionality, nonlinearity, and partial observations. Recent advances in machine learning-ba...