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The Ill-Posed Problem in DIC

2017
The contribution of our paper is to present a mixed finite element method for estimation of the velocity in the optical flow constraint, i.e., an advection equation. The resulting inverse problem is well-known to be undetermined because the velocity vector cannot be recovered from the scalar field advected unless further restrictions on the flow, or ...
Rich Lehoucq, Dan Turner
openaire   +1 more source

The regularization of the ill-posed notion “fuzzy probability”

Information Sciences, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

A Regularization Parameter in Discrete Ill-Posed Problems

SIAM Journal on Scientific Computing, 1996
The author considers the Tikhonov regularization method for the discrete ill-posed problem of minimizing \[ J_\alpha(u)=|Ku-f|^2+\alpha|u|^2, \] where \(K\) is an \(m\times n\) matrix with a large condition number, \(m\geq n\), and \(\alpha>0\). The Euclidean norm is used.
openaire   +2 more sources

Spectroscopy; An Ill-Posed Problem

SPIE Proceedings, 1985
Spectroscopy can be described as an inversion technique for the retrieval from measured data of an unknown spectral distribution. The implications which follow from this general approach are discussed. It turns out that spectroscopy belongs to the category of ill-posed problems that have more degrees of freedom than data.
openaire   +1 more source

Ill-Posed Problems and Regularization

1998
Click on the DOI link to access the article (may not be free). ; In this chapter, we consider the equation.
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ON ILL-POSED PROBLEMS

Russian Mathematical Surveys, 1976
openaire   +1 more source

Ill-Posed Problems

International Journal of Mathematics Trends and Technology, 2019
K Saranya, Ms.N Rajakumari
openaire   +1 more source

Learning, Regularization and Ill-Posed Inverse Problems.

2004
Many 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
openaire   +4 more sources

The hypothesis testing statistics in linear ill-posed models

Journal of Geodesy, 2021
Yunzhong Shen, Bofeng Li
exaly  

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