Results 21 to 30 of about 2,897 (246)
Minimum discrepancy principle strategy for choosing k in k-NN regression
Machine LearningBias-variance reference rule was modified in Eq.
Yaroslav Averyanov, Alain Celisse
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Mathematics, 2021 We prove the logarithmic convergence rate of the families of usual and modified iterative Runge-Kutta methods for nonlinear ill-posed problems between Hilbert spaces under the logarithmic source condition, and numerically verify the obtained results. The
Pornsarp Pornsawad +2 more
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Open Mathematics, 2023 In this article, we investigate a spherically symmetric backward heat conduction problem, starting from the final temperature. This problem is severely ill posed: the solution (if it exists) does not depend continuously on the final data.
Cheng Wei, Liu Yi-Liang
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A modified Tikhonov regularization for unknown source in space fractional diffusion equation
Open Mathematics, 2022 In this article, we consider the identification of an unknown steady source in a class of fractional diffusion equations. A modified Tikhonov regularization method based on Hermite expansion is presented to deal with the ill-posedness of the problem.
Yu Kai, Gong Benxue, Zhao Zhenyu
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Convergence Rate of the Modified Landweber Method for Solving Inverse Potential Problems
Mathematics, 2020 In this paper, we present the convergence rate analysis of the modified Landweber method under logarithmic source condition for nonlinear ill-posed problems. The regularization parameter is chosen according to the discrepancy principle.
Pornsarp Pornsawad +2 more
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PLoS Computational Biology, 2020 Developing an accurate first-principle model is an important step in employing systems biology approaches to analyze an intracellular signaling pathway.
Dongheon Lee +2 more
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THE PHENOMENON OF ESCAPISM IN ADVERTISING TOURIST NARRATIVE
Sovremennye Issledovaniâ Socialʹnyh Problem, 2020 Purpose. This article is devoted to the analysis of the special features of escapism as an essential phenomenon of human existence, realized through the advertising tourist narrative. Methodology. The study is based on philosophical reflection, which is
Ekaterina Evgenevna Menshikova
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Towards the selectivity distinction of phenol hydrogenation on noble metal catalysts
Nano Materials Science, 2023 Selective hydrogenation of phenol to cyclohexanone is intriguing in chemical industry. Though a few catalysts with promising performances have been developed in recent years, the basic principle for catalyst design is still missing owing to the unclear ...
Shanjun Mao +9 more
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, 2012 The authors discuss the use of the discrepancy principle for statistical inverse problems, when the underlying operator is of trace class. Under this assumption the discrepancy principle is well defined, however a plain use of it may occasionally fail ...
Mathé, Peter +1 more
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Spectrum deconvolution: the indicator for the balance region and regularization parameter choice by the +S-curve method [PDF]
Ядерна фізика та енергетикаWhen solving the problem of spectrum deconvolution, i.e., the problem of eliminating the distorting influence of equipment during the registration of experimental spectrometric data, the choice of the regularization parameter (RP) in the commonly used ...
A. M. Sokolov
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