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A modification of the generalized discrepancy principle
USSR Computational Mathematics and Mathematical Physics, 1983Translation from Zh. Vychisl. Mat. Mat. Fiz. 23, No.6, 1298-1303 (Russian) (1983; Zbl 0543.65033).
Kochikov, I. V. +2 more
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A discrepancy principle for Poisson data
Inverse Problems, 2010In applications of imaging science, such as emission tomography, fluorescence microscopy and optical/infrared astronomy, image intensity is measured via the counting of incident particles (photons, γ-rays, etc). Fluctuations in the emission-counting process can be described by modeling the data as realizations of Poisson random variables (Poisson data).
BERTERO, MARIO +4 more
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A generalized discrepancy principle for solving incompatible equations
USSR Computational Mathematics and Mathematical Physics, 1984Let \(Z\) be a reflexive Banach space with the property \(H\), \(D\) be a closed convex subset of \(Z\), \(0\in D\). Consider an incompatible equation \(Az=u\) in \(D\) (i.e. \(\mu =\inf \{\| Az-u\|: z\in D\}\ge 0)\) where \(A\) is a bounded linear operator from \(Z\) into a normed linear space \(U\), \(u\in U\), and suppose there is a normal ...
Kochikov, I. V. +2 more
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On convergence rates for asymptotic discrepancy principle
Journal of Inverse and Ill-posed Problems, 2016Abstract A series of recent numerical experiments for parameter estimation inverse problems in epidemiology [7, 6] have indicated that applicability of the discrepancy principle (DP) does not depend on the structure of a particular regularizing operator.
Bakushinsky, Anatoly +1 more
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A generalized discrepancy principle for the L-pseudosolutions
USSR Computational Mathematics and Mathematical Physics, 1987See the review in Zbl 0638.47010.
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Principles of orthognathic management of dentofacial discrepancies
Dental Update, 2018Abstract: Individuals with severe dentofacial discrepancies that are beyond the scope of conventional orthodontic treatment will often require a joint orthodontic-surgical approach to manage their malocclusion. This treatment approach involving orthodontics in combination with orthognathic surgery is used to manage severe underlying skeletal ...
Kulraj S Achal +2 more
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Comments on Morozov’s Discrepancy Principle
1983The choice of regularization parameter by Morozov’s principle is characterized in a new way and is related to another parameter choice strategy. An asymptotic order of accuracy is derived which is essentially best possible and a discrepancy principle is developed in a finite element context.
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Quasi-Newton projection methods and the discrepancy principle in image restoration
Applied Mathematics and Computation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
LOLI PICCOLOMINI, ELENA, LANDI, GERMANA
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Heuristic discrepancy principle for variational regularization of inverse problems
Inverse Problems, 2020Abstract We consider the variational regularization for inverse problems in a general form. Based on the discrepancy principle, we propose a heuristic parameter choice rule for choosing the regularization parameter which does not require the information on the noise level and is therefore purely data driven. Under
Huan Liu +4 more
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