3 papers
math.ST2026
A Data-Consistent Approach to Ensemble Filtering
Rylan Spence, Troy Butler, Clint Dawson
Ensemble filtering of chaotic, partially observed systems is often performed with ensembles far smaller than the state dimension resulting in empirical covariances that are low ran…
math.NA2025
Variational Data-Consistent Assimilation
Rylan Spence, Troy Butler, Clint Dawson
This work introduces a new class of four-dimensional variational data assimilation (4D-Var) methods grounded in data-consistent inversion (DCI) theory. The methods extend classical…
stat.ME2024
Sequential Maximal Updated Density Parameter Estimation for Dynamical Systems with Parameter Drift
Carlos del-Castillo-Negrete, Rylan Spence, Troy Butler +1
We present a novel method for generating sequential parameter estimates and quantifying epistemic uncertainty in dynamical systems within a data-consistent (DC) framework. The DC f…