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The Resource Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization : New Results in Modern Theory of Inverse Problems and an Application in Laser Optics, by Jens Flemming, (electronic resource)

Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization : New Results in Modern Theory of Inverse Problems and an Application in Laser Optics, by Jens Flemming, (electronic resource)

Label
Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization : New Results in Modern Theory of Inverse Problems and an Application in Laser Optics
Title
Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization
Title remainder
New Results in Modern Theory of Inverse Problems and an Application in Laser Optics
Statement of responsibility
by Jens Flemming
Creator
Author
Subject
Language
eng
Summary
The book collects and contributes new results on the theory and practice of ill-posed inverse problems. Different notions of ill-posedness in Banach spaces for linear and nonlinear inverse problems are discussed not only in standard settings but also in situations up to now not covered by the literature. Especially, ill-posedness of linear operators with uncomplemented null spaces is examined. Tools for convergence rate analysis of regularization methods are extended to a wider field of applicability. It is shown that the tool known as variational source condition always yields convergence rate results. A theory for nonlinear inverse problems with quadratic structure is developed as well as corresponding regularization methods. The new methods are applied to a difficult inverse problem from laser optics. Sparsity promoting regularization is examined in detail from a Banach space point of view. Extensive convergence analysis reveals new insights into the behavior of Tikhonov-type regularization with sparsity enforcing penalty.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Flemming, Jens
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
Fg3u0v_Px7Y
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Frontiers in Mathematics,
  • Springer eBooks
  • Springer eBooks.
http://library.link/vocab/subjectName
  • Numerical analysis
  • Operator theory
Label
Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization : New Results in Modern Theory of Inverse Problems and an Application in Laser Optics, by Jens Flemming, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-95264-2
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Inverse problems, ill-posedness, regularization -- Variational source conditions yield convergence rates -- Existence of variational source conditions -- What are quadratic inverse problems? -- Tikhonov regularization -- Regularization by decomposition -- Variational source conditions -- Aren’t all questions answered? -- Sparsity and 1-regularization -- Ill-posedness in the l1-setting -- Convergence rates
Control code
978-3-319-95264-2
Dimensions
unknown
Extent
1 online resource (XI, 182 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319952642
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
35 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1052566271
Label
Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization : New Results in Modern Theory of Inverse Problems and an Application in Laser Optics, by Jens Flemming, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-95264-2
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Inverse problems, ill-posedness, regularization -- Variational source conditions yield convergence rates -- Existence of variational source conditions -- What are quadratic inverse problems? -- Tikhonov regularization -- Regularization by decomposition -- Variational source conditions -- Aren’t all questions answered? -- Sparsity and 1-regularization -- Ill-posedness in the l1-setting -- Convergence rates
Control code
978-3-319-95264-2
Dimensions
unknown
Extent
1 online resource (XI, 182 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319952642
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
35 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1052566271

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