activity
20162024
most citedLong-time stability and accuracy of the ensemble Kalman-Bucy filter for fully observed processes and small measurement noise

49 citations · 89 across the 6 of their papers we have counts for

collaborators

8 papers

math.NA2024

Adaptive tempering schedules with approximative intermediate measures for filtering problems

Iris Rammelmüller, Gottfried Hastermann, Jana de Wiljes

Data assimilation algorithms integrate prior information from numerical model simulations with observed data. Ensemble-based filters, regarded as state-of-the-art, are widely emplo…

physics.ao-ph2022★ 2 cited

A Bayesian Approach to Atmospheric Circulation Regime Assignment

Swinda K. J. Falkena, Jana de Wiljes, Antje Weisheimer +1

The standard approach when studying atmospheric circulation regimes and their dynamics is to use a hard regime assignment, where each atmospheric state is assigned to the regime it…

math.NA2021★ 9 cited

Randomized maximum likelihood based posterior sampling

Yuming Ba, Jana de Wiljes, Dean S. Oliver +1

Minimization of a stochastic cost function is commonly used for approximate sampling in high-dimensional Bayesian inverse problems with Gaussian prior distributions and multimodal…

stat.ME2020★ 26 cited

Reconstructing regime-dependent causal relationships from observational time series

Elena Saggioro, Jana de Wiljes, Marlene Kretschmer +1

Inferring causal relations from observational time series data is a key problem across science and engineering whenever experimental interventions are infeasible or unethical. Incr…

math.NA2017★ 3 cited

Interacting particle filters for simultaneous state and parameter estimation

Angwenyi David, Jana de Wiljes, Sebastian Reich

Simultaneous state and parameter estimation arises from various applicational areas but presents a major computational challenge. Most available Markov chain or sequential Monte Ca…

math.OC2017

Kalman Filter and its Modern Extensions for the Continuous-time Nonlinear Filtering Problem

Amirhossein Taghvaei, Jana de Wiljes, Prashant G. Mehta +1

This paper is concerned with the filtering problem in continuous-time. Three algorithmic solution approaches for this problem are reviewed: (i) the classical Kalman-Bucy filter whi…

math.DS2016★ 49 cited

Long-time stability and accuracy of the ensemble Kalman-Bucy filter for fully observed processes and small measurement noise

Jana de Wiljes, Sebastian Reich, Wilhelm Stannat

The ensemble Kalman filter has become a popular data assimilation technique in the geosciences. However, little is known theoretically about its long term stability and accuracy. I…

math.NA2016

Second-order accurate ensemble transform particle filters

Walter Acevedo, Jana de Wiljes, Sebastian Reich

Particle filters (also called sequential Monte Carlo methods) are widely used for state and parameter estimation problems in the context of nonlinear evolution equations. The recen…