4 papers
Almost sure error bounds for data assimilation in dissipative systems with unbounded observation noise
Lea Oljača, Jochen Bröcker, Tobias Kuna
Data assimilation is uniquely challenging in weather forecasting due to the high dimensionality of the employed models and the nonlinearity of the governing equations. Although cur…
What is the correct cost functional for variational data assimilation?
Jochen Bröcker
Variational approaches to data assimilation, and weakly constrained four dimensional variation (WC-4DVar) in particular, are important in the geosciences but also in other communit…
Assessing the reliability of ensemble forecasting systems under serial dependence
Jochen Bröcker
The problem of testing the reliability of ensemble forecasting systems is revisited. A popular tool to assess the reliability of ensemble forecasting systems (for scalar verificati…
A Lower Bound on Arbitrary --Divergences in Terms of the Total Variation
Jochen Bröcker
An important tool to quantify the likeness of two probability measures are f-divergences, which have seen widespread application in statistics and information theory. An example is…