Inverse Problems
Analysis of the ensemble Kalman filter for inverse problems
... assimilation problems, where the objective is to estimate a partially observed time-evolving system sequentially in time [17], and inverse problems, where the objective is to estimate a (typically ...
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Analysis and computation for Bayesian inverse problems
... interface problems since its introduction in the 1980s ...of inverse problems with un- known interfaces ...for inverse prob- lems the number of connected components of the field does not need ...
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Approximation of Bayesian inverse problems for PDEs
... of inverse problems which have been regularized by means of a Bayesian ...the inverse problem itself: it is simply necessary that the requisite bounds and approximation properties for the forward ...
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Bayesian inverse problems with partial observations
... We study a nonparametric Bayesian approach to linear inverse problems under discrete observations. We use the discrete Fourier transform to convert our model into a truncated Gaussian sequence model, that ...
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Sensitivity functions and their uses in inverse problems
... The Verhulst-Pearl logistic equation is a relatively simple example with easily studied dynamics that is useful in demonstrating the utility of the traditional sensitivity functions as well as the generalized sensitivity ...
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A Parallel Optimization Framework for Inverse Problems
... Non-gradient methods start with one or more initial guesses and follow a set of rules to move towards the solution. These optimization methods can be global or local. Examples of global approaches are genetic algorithms ...
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The Method of Characteristics in Inverse Problems of Dynamics
... Perturbed inverse problems for controlled dynamical systems are under ...The inverse problem with perturbed (inaccurate) sampling of trajec- tory is to rebuild such controls that would be close to ...
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ELECTROMAGNETIC INTERROGATION USING STOCHASTIC INVERSE PROBLEMS
... Math, Inverse Problems, Journal of Inverse and Ill-posed Problems, Applied Mathematics Letters, International Journal of Mathematical and Com- putational Modeling, Mathematical Biosciences and ...
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Ensemble based methods for geometric inverse problems
... However regarding analytical results there has been no development in un- derstanding these hierarchical approaches for the EnKF. This can be related to the lack of analysis on the EnKF. As of yet there has been work ...
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Geometric MCMC for infinite dimensional inverse problems
... Bayesian inverse problems where the objective is to identify an unknown function parameter u which is an element of a separable Hilbert space ( X , h·, ·i, ...
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Random Delay Differential Equations And Inverse Problems For Aggregate Data Problems
... data inverse problems using the Prohorov Metric Framework as described in ...of inverse prob- lems when individual longitudinal data is not ...of problems as Type II problems wherein ...
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Analysis of the Gibbs Sampler for hierarchical inverse problems
... Many inverse problems arising in applications come from continuum models where the unknown parameter is a ...linear inverse problems subject to additive Gaussian noise within a hierarchical ...
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Aspects of Bayesian inverse problems
... linear problems, subject to Gaussian observational noise, Bayesian posterior consistency is considered in the recent papers [44, 3] ∗ ...ill-posed inverse problems in which the j-th singular value of ...
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Sparse deterministic approximation of Bayesian inverse problems
... an inverse problem. One approach to such inverse problems is via the techniques of optimal control [2]; however this does not lead naturally to quantification of ...the inverse problem [14, ...
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INVERSE PROBLEMS RELATED TO ION CHANNEL SELECTIVITY
... namely inverse problems, in connection with ion ...on problems that arise when we try to determine (“identify”) one of the structural features of a channel—its permanent charge—from measurements of ...
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Atomic Solution of Certain Inverse Problems
... of inverse problems for differential equations is being extensively developed with the frame work of mathematical ...an inverse prob- lem additional conditions are ...of problems using a ...
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The effects of parametrization on inverse problems
... We note that the above equations involve the unknown (and to be estimated) parameters ~ θ and hence one needs to employ an ordinary least squares algorithm using the above cost functional. All inverse ...
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Adding Constraints to Bayesian Inverse Problems
... Using observation data to estimate unknown parameters in computational models is broadly important. This task is of- ten challenging because solutions are non-unique due to the complexity of the model and limited ...
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Variable sized uncertainty and inverse problems in robust optimization
... best-case inverse value for problems within each ...best-case inverse problems in seconds, ...regret problems we generated per instance and is also given in ...
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Ill-Posed and Linear Inverse Problems
... linear inverse problems that arises in many applications is ...these problems and it’s relation to the kernel, is ...these problems we need some kind of regularization that is ...
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