
The ensemble Kalman filter for rare event estimation
We present a novel samplingbased method for estimating probabilities of...
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Asymptotic Analysis of Multilevel Best Linear Unbiased Estimators
We study the computational complexity and variance of multilevel best li...
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Error analysis for probabilities of rare events with approximate models
The estimation of the probability of rare events is an important task in...
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Certified and fast computations with shallow covariance kernels
Many techniques for data science and uncertainty quantification demand e...
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Multilevel Sequential Importance Sampling for Rare Event Estimation
The estimation of the probability of rare events is an important task in...
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Multilevel adaptive sparse Leja approximations for Bayesian inverse problems
Deterministic interpolation and quadrature methods are often unsuitable ...
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Analysis of boundary effects on PDEbased sampling of WhittleMatérn random fields
We consider the generation of samples of a meanzero Gaussian random fie...
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A practical example for the nonlinear Bayesian filtering of model parameters
In this tutorial we consider the nonlinear Bayesian filtering of static...
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Bayesian parameter identification in CahnHilliard models for biological growth
In this paper we consider the identification of internal parameters in a...
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Fast sampling of parameterised Gaussian random fields
Gaussian random fields are popular models for spatially varying uncertai...
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Multilevel Sequential^2 Monte Carlo for Bayesian Inverse Problems
The identification of parameters in mathematical models using noisy obse...
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Elisabeth Ullmann
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