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math.NA2026
A Conjugate Gradient Formulation of the EnKF Algorithm
Sanghyun Lee, Zhengqi Liu, Jonathan Valyou +1
Ensemble Kalman Filter (EnKF) based data assimilation algorithms synthesize predictive numerical forecast models with accumulated data as time evolves and account for model uncerta…
math.NA2025
Ensemble Score Filter for Data Assimilation of Two-Phase Flow Models in Porous Media
Ruoyu Hu, Sanjeeb Poudel, Feng Bao +1
Numerical modeling and simulation of two-phase flow in porous media is challenging due to the uncertainties in key parameters, such as permeability. To address these challenges, we…
math.NA2023★ 1 cited
On the training and generalization of deep operator networks
Sanghyun Lee, Yeonjong Shin
We present a novel training method for deep operator networks (DeepONets), one of the most popular neural network models for operators. DeepONets are constructed by two sub-network…