Ill Posed Inverse Problems
Minimax Goodness-of-Fit Testing in Ill-Posed Inverse Problems with Partially Unknown Operators
... singular values) was supposed to be fully known. (Note that, in this case, the second equation in the GSM (1.1) does not appear.) We refer, e.g., to [3], [5], [4], [7], [8] (minimax estimation) and to [14], [11] (minimax ...
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On Rate Optimality for Ill-posed Inverse Problems in Econometrics
... of ill-posed inverse problems in ...mildly ill-posed, Horowitz and Lee (2007) show that their kernel based Tikhonov regularized estimator of nonparametric quantile instrumental ...
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A unified approach to solve ill-posed inverse problems in econometrics
... The common aspect of all these examples is that the function ϕ is not directly observed in (1.1) but only through a transform T. Therefore, an inversion of the transform T, or of its estimate, is necessary in order to ...
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Adding Constraints to Bayesian Inverse Problems
... for ill-posed inverse problems due to model complexity and lack of observation dimension, we here proposed a general method to constrain the inverse problem in a Bayesian in- ference ...
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Aspects of Bayesian inverse problems
... mildly ill-posed linear problems, subject to Gaussian observational noise, Bayesian posterior consistency is considered in the recent papers [44, 3] ∗ ...severely ill-posed ...severely ...
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Ill-Posed and Linear Inverse Problems
... As we have seen in the previous section, the primary difficulty with ill- posed problems is that they are practically underdetermined due to the cluster of small singular values of K. Hence, it is ...
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Expanding the applicability of Lavrentiev regularization methods for ill-posed problems
... 18. Argyros, IK: A semilocal convergence for directional Newton methods. Math. Comput. 80, 327-343 (2011) 19. Argyros, IK, Hilout, S: Weaker conditions for the convergence of Newton’s method. J. Complex. 28, 364-387 ...
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Ill-Posed Problems
... to ill-posed problems in the field of mathematical physics and partial differential and integral equations, there are many simpler yet not less important ill-posed problems among ...
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A New Regularized Solution to Ill Posed Problem in Coordinate Transformation
... solve ill-posed problems, which have been widely ap- plied to solve inverse ill-posed geodetic problems and sig- nal ...to ill-posed models [6,7]. Golub [8] ...
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The effects of parametrization on inverse problems
... To analyze the effects of the different parametrizations on the inverse problem, we will compute 2-dimensional confidence ellipsoids. Smaller and flatter confidence ellipsoids should suggest that we are able to ...
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Logical inference for inverse problems
... IP formulation from the probability logic viewpoint 177 Following the probability logic formulation of the inverse problem established by Beck [21, 20], the solution is not a single-valu[r] ...
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War in the classroom: a philosophical treatment of the problems posed by war for educators.
... Teachers and pupils alike need to understand the weakness of the evidence and reasoning that underlie these myths. Sociobiological assumptions will be examined in this chapter to show [r] ...
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Nonlinear methods for inverse problems
... INVERSE BOUNDARY SCATIERING 4.1 INTRODUCfiON 4.2 THE INVERSE PROBLEM 4.2.1 Uniqueness 4.2.2 Continuous Dependence 4.2.3 Construction of Solutions 4.2.4 Vector Problems 4.3 IMPUCIT FUNCTI[r] ...
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On inverse problems in mathematical finance
... Recovering one-dimensional generalised diffusions from perpetual option prices Given a discount parameter, an objective function and a time-homogeneous diffusion started at a fixed point[r] ...
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Well posed symmetric vector quasi equilibrium problems
... of problems, for example, the vector optimization problem, the vector variational inequality problem, the vector complementarity problem and the vector saddle point ...
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Incorporation of uncertainty in inverse problems
... variability in aggregate data for populations, etc. or combinations of.. infection models); materials (design of modern composites); electromag-. netic interrogation (medical diagnostics[r] ...
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Continuous Methods for Elliptic Inverse Problems
... Attouch, Goudou, and Redont [10] worked on the problem shown here: Let H be a real Hilbert space and Φ : H → R a continuously differentiable function whose gradient is Lipschitz continuous on bounded sets. The authors ...
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PROBLEMS POSED BY GOVERNING COUNCIL IN THE DEVELOPMENT OF NIGERIA UNIVERSITY
... the problems posed by governing council in the development of Nigeria Universities, the respondents debated on many issues but share similarities on seven major themes as problem created in the delivery of ...
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An Ill Posed Cauchy Problem for a Hyperbolic System in Two Space Dimensions.
... for the method of front-tracking approximations. In one space dimen- sion, the Cauchy problems related to all polygonal fluxes are well posed [1]. Taking a limit, one thus obtains a proof of well posedness ...
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Some solutions of fractional inverse problems
... Keywords: tensor product; Banach spaces; non-degenerate Cauchy problem; fractional derivative1. 2010 AMS Subject Classification: 47D06.[r] ...
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