Comparingparameter choice methods for regularization of ill-posed problems
F Bauer, MA Lukas - Mathematics and Computers in Simulation, 2011 - Elsevier
In the literature on regularization, many different parameter choice methods have been
proposed in both deterministic and stochastic settings. However, based on the available …
proposed in both deterministic and stochastic settings. However, based on the available …
[图书][B] Evolving fuzzy systems-methodologies, advanced concepts and applications
E Lughofer - 2011 - Springer
In today's industrial systems, economic markets, life and health-care sciences fuzzy systems
play an important role in many application scenarios such as system identification, fault …
play an important role in many application scenarios such as system identification, fault …
A tutorial introduction to inverse problems in magnetic resonance
RG Spencer, C Bi - NMR in Biomedicine, 2020 - Wiley Online Library
There has been a tremendous increase in applications of the inverse problem framework to
parameter estimation in magnetic resonance. Attempting to capture both the basics of this …
parameter estimation in magnetic resonance. Attempting to capture both the basics of this …
[图书][B] Regularization theory for ill-posed problems: selected topics
S Lu, SV Pereverzev - 2013 - books.google.com
This monograph is a valuable contribution to the highly topical and extremly productive field
of regularisation methods for inverse and ill-posed problems. The author is an internationally …
of regularisation methods for inverse and ill-posed problems. The author is an internationally …
Convergence analysis of minimization-based noise level-free parameter choice rules for linear ill-posed problems
S Kindermann - Electronic Transactions on Numerical …, 2011 - etna.ricam.oeaw.ac.at
Minimization-based noise level-free parameter choice rules for the selection of the
regularization parameter in linear ill-posed problems are studied. Abstract convergence …
regularization parameter in linear ill-posed problems are studied. Abstract convergence …
Parameter identification for continuous point emission source based on Tikhonov regularization method coupled with particle swarm optimization algorithm
D Ma, W Tan, Z Zhang, J Hu - Journal of hazardous materials, 2017 - Elsevier
In order to identify the parameters of hazardous gas emission source in atmosphere with
less previous information and reliable probability estimation, a hybrid algorithm coupling …
less previous information and reliable probability estimation, a hybrid algorithm coupling …
On the convergence of the quasioptimality criterion for (iterated) Tikhonov regularization
S Kindermann, A Neubauer - Inverse Problems and Imaging, 2008 - aimsciences.org
In this paper we derive convergence and convergence rates results of the quasioptimality
criterion for (iterated) Tikhonov regularization. We prove convergence and suboptimal rates …
criterion for (iterated) Tikhonov regularization. We prove convergence and suboptimal rates …
Fisher information and shape-morphing modes for solving the Fokker–Planck equation in higher dimensions
W Anderson, M Farazmand - Applied Mathematics and Computation, 2024 - Elsevier
Abstract The Fokker–Planck equation describes the evolution of the probability density
associated with a stochastic differential equation. As the dimension of the system grows …
associated with a stochastic differential equation. As the dimension of the system grows …
Fast and scalable computation of shape-morphing nonlinear solutions with application to evolutional neural networks
W Anderson, M Farazmand - Journal of Computational Physics, 2024 - Elsevier
We develop fast and scalable methods for computing reduced-order nonlinear solutions
(RONS). RONS was recently proposed as a framework for reduced-order modeling of time …
(RONS). RONS was recently proposed as a framework for reduced-order modeling of time …
On numerical approaches for solving an inverse cauchy stokes problem
H Ouaissa, A Chakib, A Nachaoui… - Applied Mathematics & …, 2022 - Springer
In this paper, we are interested in the study of an inverse Cauchy problem governed by
Stokes equation. It consists in determining the fluid velocity and the flux over a part of the …
Stokes equation. It consists in determining the fluid velocity and the flux over a part of the …