Baseline and interferent correction by the Tikhonov regularization framework for linear least squares modeling
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Chemometrics"
DOI: 10.1002/cem.2962
Abstract: Spectroscopic data are usually perturbed by noise from various sources that should be removed prior to model calibration. After conducting a preprocessing step to eliminate unwanted multiplicative effects (effects that scale the pure signal in… read more here.
Keywords: framework; regularization framework; model; regularization ... See more keywords
An Iterative Tikhonov Regularization for Solving Singularly Perturbed Elliptic PDE
Sign Up to like & getrecommendations! Published in 2017 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-017-0980-0
Abstract: In this paper, we consider a class of singularly perturbed elliptical problems with homogeneous boundary conditions. We consider a regularized iterative method for solving such problems. Convergence analysis and error estimate are derived. The regularization… read more here.
Keywords: singularly perturbed; iterative tikhonov; regularization solving; solving singularly ... See more keywords
A framework for least squares nonnegative matrix factorizations with Tikhonov regularization
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DOI: 10.1016/j.neucom.2019.12.103
Abstract: Abstract Nonnegative matrix factorization (NMF) is widely used for dimensionality reduction, clustering and signal unmixing. This paper presents a generic model for least squares NMFs with Tikhonov regularization, which covers many well-known NMF models as… read more here.
Keywords: framework; tikhonov regularization; nonnegative matrix; least squares ... See more keywords
Filtering-Tikhonov regularization inversion for dynamic light scattering data with strong noise
Sign Up to like & getrecommendations! Published in 2019 at "Optics Communications"
DOI: 10.1016/j.optcom.2018.08.078
Abstract: Abstract The Tikhonov regularization is an effective method used for dynamic light scattering (DLS) data inversion. However, its inversion accuracy is low for the strong noise data. Based on filtering and Tikhonov regularization technology, we… read more here.
Keywords: filtering tikhonov; inversion; light scattering; dynamic light ... See more keywords
A Modified Landweber Algorithm for Inversion of Particle Size Distribution Combined With Tikhonov Regularization Theory
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DOI: 10.1109/access.2017.2739918
Abstract: Particle size distribution (PSD) measurement based on the static light scattering method has been widely used in the environmental field and combustion diagnostics, such as PM2.5 measurement and combustion process monitoring. The PSD inversion is… read more here.
Keywords: landweber algorithm; tikhonov regularization; regularization theory; inversion ... See more keywords
Acoustic Mode Measuring Approach Developed on Generalized Minimax-Concave Regularization and Tikhonov Regularization
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Instrumentation and Measurement"
DOI: 10.1109/tim.2021.3133312
Abstract: Investigations on the acoustic modes generated by the ducted fan can provide indispensable guidance for active control of the aero-engine noise. To achieve this, the circumferential pressure of the duct needs to be measured. However,… read more here.
Keywords: regularization; tikhonov regularization; approach developed; approach ... See more keywords
Tikhonov regularization method to analyze the aberrations in the wavefront determination using the Irradiance Transport Equation.
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Thrombosis and Haemostasis"
DOI: 10.1364/3d.2020.jth2a.38
Abstract: The Irradiance Transport Equation is considered as an elliptical differential equation that determines the phase as a poorly stated problem. The instability of such a problem is handled as Tikhonov regularization method to determine aberrations. read more here.
Keywords: regularization method; transport equation; irradiance transport; equation ... See more keywords