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
A criterion for automatic image deconvolution with L0‐norm regularization
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Chemometrics"
DOI: 10.1002/cem.3227
Abstract: Automatic penalty adjustment in sparse deconvolution with penalized least squares is required for improved reliability and broader applicability. In sparse deconvolution with an L0‐norm penalty, the latent signal is by nature discontinuous, and the magnitudes… read more here.
Keywords: criterion automatic; deconvolution norm; penalty; deconvolution ... See more keywords
An adaptive parameter selection strategy based on maximizing the probability of data for robust fluorescence molecular tomography reconstruction.
Sign Up to like & getrecommendations! Published in 2023 at "Journal of biophotonics"
DOI: 10.1002/jbio.202300031
Abstract: To alleviate the ill-posed of the inverse problem in Fluorescent molecular tomography (FMT), many regularization methods based on L2 or L1 norm have been proposed. Whereas, the quality of regularization parameters affect the performance of… read more here.
Keywords: regularization; parameter selection; parameter; reconstruction ... See more keywords
Three regularization methods for identifying the initial value of homogeneous anomalous secondary diffusion equation
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DOI: 10.1002/mma.7654
Abstract: In this paper, the inverse problem of initial value identification for homogeneous anomalous diffusion equation with Riemann‐Liouville fractional derivative in time is studied. We prove that this kind of problem is ill‐posed. We analyze the… read more here.
Keywords: problem; homogeneous anomalous; initial value; diffusion equation ... See more keywords
Semi-supervised medical image segmentation via cross-guidance and feature-level consistency dual regularization schemes.
Sign Up to like & getrecommendations! Published in 2023 at "Medical physics"
DOI: 10.1002/mp.16217
Abstract: BACKGROUND Semi-supervised learning is becoming an effective solution for medical image segmentation because of the lack of a large amount of labeled data. PURPOSE Consistency-based strategy is widely used in semi-supervised learning. However, it is still… read more here.
Keywords: semi supervised; image segmentation; regularization; medical image ... See more keywords
Multi‐shot diffusion‐weighted MRI reconstruction with magnitude‐based spatial‐angular locally low‐rank regularization (SPA‐LLR)
Sign Up to like & getrecommendations! Published in 2019 at "Magnetic Resonance in Medicine"
DOI: 10.1002/mrm.28025
Abstract: To resolve the motion‐induced phase variations in multi‐shot multi‐direction diffusion‐weighted imaging (DWI) by applying regularization to magnitude images. read more here.
Keywords: magnitude; multi shot; diffusion weighted; regularization ... See more keywords
A comprehensive numerical analysis of background phase correction with V‐SHARP
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DOI: 10.1002/nbm.3550
Abstract: Sophisticated harmonic artifact reduction for phase data (SHARP) is a method to remove background field contributions in MRI phase images, which is an essential processing step for quantitative susceptibility mapping (QSM). To perform SHARP, a… read more here.
Keywords: phase; analysis; scheme; background ... See more keywords
Renormalization of gravitational Wilson lines
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep06(2019)020
Abstract: A bstractWe continue the study of the Wilson line representation of conformal blocks in two-dimensional conformal field theory; these have an alternative interpretation as gravitational Wilson lines in the context of the AdS3/CFT2 correspondence. The… read more here.
Keywords: wilson lines; gravitational wilson; wilson; wilson line ... See more keywords
Homotopy Regularization for a High-Order Parabolic Equation
Sign Up to like & getrecommendations! Published in 2019 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-019-1424-9
Abstract: In this work we study the solvability of the Cauchy Problem for a quasilinear degenerate high-order parabolic equation \begin{equation*} \left\{ \begin{tabular}{lcl} $u_t=(-1)^{m-1}\nabla\cdot(f^n(|u|)\nabla\Delta^{m-1}u)$ & &in $\mathbb{R}^N\times\mathbb{R}_+$, $u(x,0)=u_0(x)$& & in $\mathbb{R}^N$, \end{tabular} \right. \end{equation*} with $m\in\mathbb{N},\ m>1$… read more here.
Keywords: order parabolic; parabolic equation; high order; regularization ... See more keywords
Improvements in the accuracy of wavelet-based optical flow velocimetry (wOFV) using an efficient and physically based implementation of velocity regularization
Sign Up to like & getrecommendations! Published in 2020 at "Experiments in Fluids"
DOI: 10.1007/s00348-019-2869-0
Abstract: Abstract This manuscript details recent improvements in a wavelet-based optical flow velocimetry (wOFV) method that represents a more physically sound implementation and results in increased accuracy of the velocity estimation. A novel regularization scheme is… read more here.
Keywords: implementation; velocity; regularization; wavelet ... See more keywords
A novel iterative integration regularization method for ill-posed inverse problems
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DOI: 10.1007/s00366-019-00920-z
Abstract: This paper proposes a new iterative integration regularization method for robust solution of ill-posed inverse problems. The proposed method is motivated from the fact that inversion of a positive definite matrix can be expressed in… read more here.
Keywords: iterative integration; ill posed; method; proposed method ... See more keywords