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Ill-posed problems in geomechanics
Journal of Mining Science, 2011Any inverse problem requires that its ill-posedness be overcome through regularization or derivation of precise equations. On the basis of singular integral equations, connecting boundary values of stresses and displacements, the author proposes convergence method and its numerical algorithm in terms of a piecewise-homogeneous domain (pillar) where ...
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Ill-Posed Cauchy Problem, Revisited
2017In Chap. 6 we exhibited a second order differential operator with polynomial coefficients for which the Cauchy problem is C ∞ ill-posed even though the Levi condition is satisfied. The Levi condition would be the most strict condition that one can impose on lower order terms on the double characteristics as far as we know.
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Ill-posed problems in rheology
Rheologica Acta, 1989Experimental data are always noisy and often incomplete. This leads to ambiguities if one wants to infer from the data some functions, which are related to the measured quantity through an integral equation of the first kind. In rheology many of such so-called ill-posed problems appear.
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Learning, regularization and ill-posed inverse problems
2004Many works have shown that strong connections relate learning from examples to regularization techniques for ill-posed inverse problems. Nevertheless by now there was no formal evidence neither that learning from examples could be seen as an inverse problem nor that theoretical results in learning theory could be independently derived using tools from ...
ROSASCO, LORENZO +4 more
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Approximations for ill-posed problems
Numerical Functional Analysis and Optimization, 1985In this paper we consider a formalism for describing the solution of ill-posed problems and from it derive a theory for the approximate solution of such problems. This theory is a generalization of the well-known convergence theory for linear operator equations.
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International Journal of Mathematics Trends and Technology, 2019
K Saranya, Ms.N Rajakumari
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K Saranya, Ms.N Rajakumari
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Regularization of Ill-Posed Problems.
1978Abstract : Some examples of linear ill-posed problems in engineering are given and a general class of regularization methods for ill-posed linear operator equations is studied. Rates of convergence for the general method are estabished under various assumptions on the data. Applications are given to a number of iterative and noniterative regularization
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Navigating financial toxicity in patients with cancer: A multidisciplinary management approach
Ca-A Cancer Journal for Clinicians, 2022Grace Li Smith +2 more
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