Results 81 to 90 of about 7,882 (230)
The trade-off between regularity and stability in Tikhonov regularization [PDF]
Mathematics of Computation, 1997 Summary: When deriving rates of convergence for the approximations generated by the application of Tikhonov regularization to ill-posed operator equations, assumptions must be made about the nature of the stabilization (i.e., the choice of the seminorm in the Tikhonov regularization) and the regularity of the least squares solutions which one looks for.
M. Thamban Nair +2 more
openaire +1 more source
Quantitative Assessment of Visible Nigrosome‐1 in Patients with Parkinson's Disease
Movement Disorders Clinical Practice, EarlyView.Abstract Background The nigrosome‐1 (N1) sign on susceptibility‐weighted imaging (SWI) typically disappears in Parkinson's disease (PD), though some patients can show uni−/bilaterally preserved N1. Objective Investigating whether visible nigrosomes in PD patients differ from those of healthy subjects (HC). Methods Forty‐eight PD and 35 HC underwent 3 T‐
Maria Eugenia Caligiuri +10 more
wiley +1 more source
Convergence analysis of Tikhonov regularization for non-linear statistical inverse learning problems
, 2019 We study a non-linear statistical inverse learning problem, where we observe the noisy image of a quantity through a non-linear operator at some random design points.
Mathé, Peter +2 more
core +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose Ultrahigh‐field MRI requires careful management of the specific absorption rate (SAR), which is subject and subject‐position dependent. Within‐scan subject motion may exacerbate local SAR exposure, necessitating large safety margins to prevent SAR underestimation, which hampers imaging performance.
Katherine Anna Blanter +4 more
wiley +1 more source
Constrained regularization methods for ozone profile retrieval from UV/VIS nadir spectrometers
, 2009 In this paper we present several constrained regularization methods for ozone profile retrieval from UV/VIS nadir sounding instruments such as GOME, SCIAMACHY, OMI and GOME-2.
Doicu, Adrian +2 more
core +1 more source
Fractional Tikhonov regularization for linear discrete ill-posed problems [PDF]
, 2011 Tikhonov regularization is one of the most popular methods for solving linear systems of equations or linear least-squares problems with a severely ill-conditioned matrix A. This method replaces the given problem by a penalized least-squares problem. The
Reichel, L. +5 more
core +1 more source
Tikhonov–Phillips regularization with operator dependent seminorms [PDF]
Numerical Algorithms, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thomas K. Huckle, Matous Sedlacek
openaire +2 more sources
Single‐Breathhold 3D MR Elastography in the Liver, With Simultaneous R2* and PDFF Mapping
Magnetic Resonance in Medicine, EarlyView.Purpose To develop a sequence for the rapid acquisition of MR elastography (MRE) parameters in 3D, with simultaneous measurement of proton‐density fat fraction (PDFF) and R2* for multiparametric assessment of liver disease. Methods The proposed sequence uses an interleaved motion‐encoding scheme to acquire 3D volumes of all motion encodings and wave ...
Donovan P Tripp +10 more
wiley +1 more source
IEEE Access, 2020 Ultrasound computed tomography (USCT) is a promising technique for breast imaging. It provides three modalities: echo image, sound speed image (SSI), and attenuation image.
Zisheng Yao +3 more
doaj +1 more source
Multidirectional Subspace Expansion for One-Parameter and Multiparameter Tikhonov Regularization [PDF]
, 2016 Tikhonov regularization is a popular method to approximate solutions of linear discrete ill-posed problems when the observed or measured data is contaminated by noise.
Michiel E. Hochstenbach +5 more
core +1 more source