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Variational regularization for systems of inverse problems: Tikhonov regularization with multiple forward operators
Tikhonov regularization is a cornerstone technique in solving inverse problems with applications in countless scientific fields. Richard Huber discusses a multi-parameter Tikhonov approach for systems of inverse problems in order to take advantage of their specific structure. Such an approach allows to...
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Lenguaje: | eng |
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Springer
2019
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Acceso en línea: | https://dx.doi.org/10.1007/978-3-658-25390-5 http://cds.cern.ch/record/2665349 |
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author | Huber, Richard |
author_facet | Huber, Richard |
author_sort | Huber, Richard |
collection | CERN |
description | Tikhonov regularization is a cornerstone technique in solving inverse problems with applications in countless scientific fields. Richard Huber discusses a multi-parameter Tikhonov approach for systems of inverse problems in order to take advantage of their specific structure. Such an approach allows to choose the regularization weights of each subproblem individually with respect to the corresponding noise levels and degrees of ill-posedness. Contents General Tikhonov Regularization Specific Discrepancies Regularization Functionals Application to STEM Tomography Reconstruction Target Groups Researchers and students in the field of mathematics Experts in the areas of mathematics, imaging, computer vision and nanotechnology The Author Richard Huber wrote his master’s thesis under the supervision of Prof. Dr. Kristian Bredies at the Institute for Mathematics and Scientific Computing at Graz University, Austria. |
id | cern-2665349 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2019 |
publisher | Springer |
record_format | invenio |
spelling | cern-26653492021-04-21T18:28:17Zdoi:10.1007/978-3-658-25390-5http://cds.cern.ch/record/2665349engHuber, RichardVariational regularization for systems of inverse problems: Tikhonov regularization with multiple forward operatorsMathematical Physics and MathematicsTikhonov regularization is a cornerstone technique in solving inverse problems with applications in countless scientific fields. Richard Huber discusses a multi-parameter Tikhonov approach for systems of inverse problems in order to take advantage of their specific structure. Such an approach allows to choose the regularization weights of each subproblem individually with respect to the corresponding noise levels and degrees of ill-posedness. Contents General Tikhonov Regularization Specific Discrepancies Regularization Functionals Application to STEM Tomography Reconstruction Target Groups Researchers and students in the field of mathematics Experts in the areas of mathematics, imaging, computer vision and nanotechnology The Author Richard Huber wrote his master’s thesis under the supervision of Prof. Dr. Kristian Bredies at the Institute for Mathematics and Scientific Computing at Graz University, Austria.Springeroai:cds.cern.ch:26653492019 |
spellingShingle | Mathematical Physics and Mathematics Huber, Richard Variational regularization for systems of inverse problems: Tikhonov regularization with multiple forward operators |
title | Variational regularization for systems of inverse problems: Tikhonov regularization with multiple forward operators |
title_full | Variational regularization for systems of inverse problems: Tikhonov regularization with multiple forward operators |
title_fullStr | Variational regularization for systems of inverse problems: Tikhonov regularization with multiple forward operators |
title_full_unstemmed | Variational regularization for systems of inverse problems: Tikhonov regularization with multiple forward operators |
title_short | Variational regularization for systems of inverse problems: Tikhonov regularization with multiple forward operators |
title_sort | variational regularization for systems of inverse problems: tikhonov regularization with multiple forward operators |
topic | Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.1007/978-3-658-25390-5 http://cds.cern.ch/record/2665349 |
work_keys_str_mv | AT huberrichard variationalregularizationforsystemsofinverseproblemstikhonovregularizationwithmultipleforwardoperators |