[PDF] Top 20 Comparison of optimal design methods in inverse problems

... these problems in Section 4 of ...computational methods using weighted discrete measures ...for optimal design which try to optimize a functional depending continuously on the elements of the ... See full document

... Typical optimal design methods for inverse or parameter estimation problems are designed to choose optimal sampling distributions through minimization of a specific cost function ... See full document

... based methods. We employ variants of projected gradient methods and extragradient methods to solve the inverse problem of parameter identification by posing it as a variational inequal- ... See full document

... related problems, however the theory does not apply to our particular ...on problems with total variation ...solving inverse problem is to use a hierarchical model based on a Gaussian prior for the ... See full document

... With optimal choice of α in terms of the stopping time of the iteration at n = N , comparison of the convergence rates in Theorems 1 and 5 (or Theorems 2 and 6) shows that the Kalman filter outperforms ... See full document

... here. The Bocharov, et al., investigations raised the question of whether cell proliferation models which allowed for asymmetric label division might be better suited to describe our human cell proliferation data. In ... See full document

... linear inverse problems with Gaussian ad- ditive noise and Gaussian priors, for determining an unknown parameter u from a blurred noisy observation y in a Hilbert space ...the comparison of the ... See full document

... Ou [34] considered a trust region scheme for solving a system of nons- mooth equations of type F (x) = 0 where F is a locally Lipschitz continuous function. F can be decomposed into the sum of a smooth and nonsmooth ... See full document

... estimation problems governed by nonlinear parabolic partial dierential equations with ...an inverse problem in an operator theoretic setting for a least squares optimization ...optimization problems ... See full document

... the Optimal Design Criterion method, fixes the number of metabolites to be observed and searches for the best combination by calculating a measure of the size of the Fisher Information Matrix (FIM) ... See full document

... linear inverse problems are studied in the sense that the observational noise is assumed to be derived via realization of a Gaussian random ...based methods for these inverse ...deterministic ... See full document

... 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 ... See full document

... of optimal control problems to validate the solver XOptima proposed by our research ...reliable comparison between the numerical and the exact solution. The comparison is enlarged to other ... See full document

... Materials and Methods. As initial data, mathematical models of linear stationary fully controlled objects are used. The initial stage of the solution is connected with the task of modal control to obtain a ... See full document

... an optimal design problem for the selection of best states to observe and optimal sampling times and locations for parameter estimation or inverse problems involving complex nonlinear ... See full document

... To our knowledge, there are few papers devoted to this class of problems in the abstract setting, except for [, ]. In [], the author studied a similar problem posed on a bounded interval. In this study, the ... See full document

... accurate design solution which ensures more strictly the performance objectives, the approximate approaches yield results relatively close in terms of optimal design at a fraction of the total ... See full document

... Our goal in this paper is to extend the optimal control theory in the framework of Lions [] to the hyperbolic equation (.) involving p-Laplacian with a damping term. Let H be a Hilbert space and let U be ... See full document

... Two approximate methodologies for the optimal design of viscous dampers have been presented in this study. The approaches allow controlling the maximum inter-storey drift by reducing at the same time the ... See full document

... [4-7]). The first feature is that this theorem is far from being always “correct”. If the regularity of the problem is not assumed, then, in general, the classical theorem does not hold even for the simplest ... See full document