Search Results - "Lobbe, Alexander"
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An application of the splitting-up method for the computation of a neural network representation for the solution for the filtering equations
Published in Stochastic partial differential equations : analysis and computations (01-09-2022)“…The filtering equations govern the evolution of the conditional distribution of a signal process given partial, and possibly noisy, observations arriving…”
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2
Deep Learning for the Benes Filter
Published 09-03-2022“…The Benes filter is a well-known continuous-time stochastic filtering model in one dimension that has the advantage of being explicitly solvable. From an…”
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Bayesian inference for geophysical fluid dynamics using generative models
Published 01-11-2024“…Data assimilation plays a crucial role in numerical modeling, enabling the integration of real-world observations into mathematical models to enhance the…”
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Generative Modelling of Stochastic Rotating Shallow Water Noise
Published 15-03-2024“…In recent work, the authors have developed a generic methodology for calibrating the noise in fluid dynamics stochastic partial differential equations where…”
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5
An application of the splitting-up method for the computation of a neural network representation for the solution for the filtering equations
Published 10-01-2022“…The filtering equations govern the evolution of the conditional distribution of a signal process given partial, and possibly noisy, observations arriving…”
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6
Pathwise approximations for the solution of the non-linear filtering problem
Published 11-01-2021“…We consider high order approximations of the solution of the stochastic filtering problem, derive their pathwise representation in the spirit of the earlier…”
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Noise calibration for the stochastic rotating shallow water model
Published 05-05-2023“…Stochastic partial differential equations have been used in a variety of contexts to model the evolution of uncertain dynamical systems. In recent years, their…”
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Comparison of Stochastic Parametrization Schemes using Data Assimilation on Triad Models
Published 27-04-2023“…In recent years, stochastic parametrizations have been ubiquitous in modelling uncertainty in fluid dynamics models. One source of model uncertainty comes from…”
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