Results 41 to 50 of about 77,719 (148)
, 2003 A simple proof of the convergence of the variational regularization, with the regularization parameter, chosen by the discrepancy principle, is given for linear operators under suitable assumptions. It is shown that the discrepancy principle, in general, does not yield uniform with respect to the data convergence.
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ON MOROZOV’S DISCREPANCY PRINCIPLE FOR NONLINEAR ILL-POSED EQUATIONS [PDF]
Bulletin of the Australian Mathematical Society, 2009 AbstractMorozov’s discrepancy principle is one of the simplest and most widely used parameter choice strategies in the context of regularization of ill-posed operator equations. Although many authors have considered this principle under general source conditions for linear ill-posed problems, such study for nonlinear problems is restricted to only a ...
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Q-Curve and Area Rules for Choosing Heuristic Parameter in Tikhonov Regularization
Mathematics, 2020 We consider choice of the regularization parameter in Tikhonov method if the noise level of the data is unknown. One of the best rules for the heuristic parameter choice is the quasi-optimality criterion where the parameter is chosen as the global ...
Toomas Raus, Uno Hämarik
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Advances in High Energy Physics, 2022 We propose generalized uncertainty principle (GUP) with an additional term of quadratic momentum motivated by string theory and black hole physics and providing a quantum mechanical framework for the minimal length uncertainty, at the Planck scale.
Abdel Magied Diab, Abdel Nasser Tawfik
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MathematicsIll-posed problems arise in many areas of science and engineering. Tikhonov is a usual regularization which replaces the original problem by a minimization problem with a fidelity term and a regularization term.
Shi-Wei Wang, Guang-Xin Huang, Feng Yin
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, 2006 Let $Ay=f$, $A$ is a linear operator in a Hilbert space $H$, $y\perp N(A):=\{u:Au=0\}$, $R(A):=\{h:h=Au,u\in D(A)\}$ is not closed, $\|f_δ-f\|\leqδ$. Given $f_δ$, one wants to construct $u_δ$ such that $\lim_{δ\to 0}\|u_δ-y\|=0$. A version of the DSM (dynamical systems method) for finding $u_δ$ consists of solving the problem \bee \dotu_δ(t)=-u_δ(t)+T^
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Analyzing the discrepancy principle for kernelized spectral filter learning algorithms
J. Mach. Learn. Res., 2020 68 pages, 4 ...
Celisse, Alain, Wahl, Martin
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INFORMATION BASE OF ENSURING ECONOMIC SECURITY OF THE ENTERPRISE
Вестник Российского экономического университета имени Г. В. Плеханова, 2017 The article deals with specific features of the information base functioning, which is used to ensure economic security of the enterprise. The author pays attention to principle official sources, gives their brief characteristics and shows opportunities ...
Eugene O. Savchenko
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On the discrepancy principle and generalised maximum likelihood for regularisation [PDF]
Bulletin of the Australian Mathematical Society, 1995 Let fnλ be the regularised solution of a general, linear operator equation, K f0 = g, from discrete, noisy data yi = g(xi ) + εi, i = 1, …, n, where εi are uncorrelated random errors with variance σ2. In this paper, we consider the two well–known methods – the discrepancy principle and generalised maximum likelihood (GML), for choosing the crucial ...
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Proton-3He elastic scattering at low energies and the “Ay Puzzle”
EPJ Web of Conferences, 2010 The Kohn variational principle and the hyperspherical harmonic technique are applied to study p − 3He elastic scattering at low energies. Preliminary results obtained using several interaction models are reported.
Kievsky A. +4 more
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