尽忠
发表于 2025-3-28 17:23:41
Variational Source Conditions Yield Convergence RatesWe introduce variational source conditions and derive convergence rates for Tikhonov-type regularization methods.
少量
发表于 2025-3-28 20:21:07
Existence of Variational Source ConditionsWe prove that variational source conditions are available in almost all situations.
BLOT
发表于 2025-3-28 23:18:16
What Are Quadratic Inverse Problems?We introduce the notion of quadratic inverse problems, present some examples and discuss ill-posedness as well as some geometric properties of quadratic mappings.
发现
发表于 2025-3-29 06:55:37
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absorbed
发表于 2025-3-29 09:43:16
Aren’t All Questions Answered?We collect several questions concerning sparsity promoting regularization which remained unanswered during the past years of extensive research in this field.
上下连贯
发表于 2025-3-29 14:25:57
Sparsity and ,,-RegularizationIn this section we describe the basic ideas of sparsity promoting regularization techniques, introduce ..-regularization and briefly discuss alternative methods. In addition we have a first look at several examples which will appear again later on in the text.
growth-factor
发表于 2025-3-29 16:20:09
Ill-Posedness in the ,,-SettingWe discuss ill-posedness of linear operator equations in the ..-setting and show that this setting makes all linear equations ill-posed in the sense of Nashed.
裙带关系
发表于 2025-3-29 23:20:30
Convergence RatesWe derive asymptotic error estimates for the ..-distance between exact and ..-regularized solutions to linear operator equations. These estimates are based on variational source conditions.
丛林
发表于 2025-3-30 01:07:47
Jens FlemmingPresents recent research results in a consistent notation.Contributes to two very active fields of research.Shows that variational source condition always yields convergence rate results
英寸
发表于 2025-3-30 05:59:30
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