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20182025
most citedA Bayesian Approach to Multivariate Adaptive Localization in Ensemble-Based Data Assimilation with Time-Dependent Extensions

18 citations · 42 across the 7 of their papers we have counts for

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Showing 2024Show all

2 papers · 1 filter

math.OC2024

Preserving Nonlinear Constraints in Variational Flow Filtering Data Assimilation

Amit N. Subrahmanya, Andrey A. Popov, Reid J. Gomillion +1

Data assimilation aims to estimate the states of a dynamical system by optimally combining sparse and noisy observations of the physical system with uncertain forecasts produced by…

cs.CE2024★ 5 cited

Improving the Adaptive Moment Estimation (ADAM) stochastic optimizer through an Implicit-Explicit (IMEX) time-stepping approach

Abhinab Bhattacharjee, Andrey A. Popov, Arash Sarshar +1

The Adam optimizer, often used in Machine Learning for neural network training, corresponds to an underlying ordinary differential equation (ODE) in the limit of very small learnin…