Results 61 to 70 of about 101,252 (223)

Considering New Regularization Parameter-Choice Techniques for the Tikhonov Method to Improve the Accuracy of Electrocardiographic Imaging

Frontiers in Physiology, 2019
The electrocardiographic imaging (ECGI) inverse problem highly relies on adding constraints, a process called regularization, as the problem is ill-posed.
Judit Chamorro-Servent, Judit Chamorro-Servent, Judit Chamorro-Servent, Judit Chamorro-Servent, Rémi Dubois, Rémi Dubois, Rémi Dubois, Yves Coudière, Yves Coudière, Yves Coudière   +9 more
doaj   +1 more source

DISCRETIZATION ERROR ANALYSIS FOR TIKHONOV REGULARIZATION [PDF]

Analysis and Applications, 2006
We study the discretization of inverse problems defined by a Carleman operator. In particular, we develop a discretization strategy for this class of inverse problems and we give a convergence analysis. Learning from examples, as well as the discretization of integral equations, can be analyzed in our setting.
DE VITO, ERNESTO, ROSASCO, LORENZO, A. CAPONNETTO   +2 more
openaire   +2 more sources

Performance improvement of discrete‐time linear‐quadratic regulators applied to uncertain linear systems using the Tikhonov regularization method

Asian Journal of Control, EarlyView.
Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley   +1 more source

p‐Brain: A Modular Open‐Source Framework for Automated Quantitative DCE‐MRI of Cerebral Perfusion, Microvasculature, and Blood–Brain Barrier Permeability

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT We present p‐Brain, a modular, open‐source framework for reproducible, automated quantitative DCE‐MRI at scale. Rather than a fixed pipeline, p‐Brain is built from interchangeable stages (ingestion, T1/M0$$ {T}_1/{M}_0 $$ fitting, vascular and tissue ROI extraction, signal‐to‐concentration conversion, kinetic modeling, and quality control ...
Edis D. Tireli, Stig P. Cramer, Ulrich Lindberg, Derya Tireli, Mark B. Vestergaard, Henrik B. W. Larsson   +5 more
wiley   +1 more source

Some matrix nearness problems suggested by Tikhonov regularization [PDF]

, 2016
The numerical solution of linear discrete ill-posed problems typically requires regularization, i.e., replacement of the available ill-conditioned problem by a nearby better conditioned one.
NOSCHESE, Silvia, L. Reichel, Lothar Reichel, Silvia Noschese   +3 more
core   +1 more source

A stabilized algorithm for multi-dimensional numerical differentiation

Journal of Algorithms & Computational Technology, 2016
We develop a multi-dimensional numerical differentiation method in this paper. To obtain stable numerical derivatives, the Tikhonov regularization method in Hilbert scales is proposed to deal with illposedness of the problem. The penalty term in Tikhonov
Zhenyu Zhao, Zehong Meng, Liang Zhao, Lei You, Ou Xie   +4 more
doaj   +1 more source

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, Markus Hegland, Robert S. Anderssen   +2 more
openaire   +1 more source

Towards Sustainable PP Composites: The Roles of Pineapple Crown Fibers (PCFs) and Functional Additives on the PP Rheological and Viscoelastic Behaviors

Polymer Engineering &Science, EarlyView.
Preparation and rheological characterization of polypropylene composites reinforced with pineapple crown fibers and compatibilized with organic acids. ABSTRACT This research presents a comprehensive rheological and viscoelastic study of polypropylene (PP) composites reinforced with pineapple crown fibers (PCF) and compatibilised using carboxylic acids (
Giordano Pierozan Bernardes, Otavio Bianchi, Matheus Poletto   +2 more
wiley   +1 more source

Tikhonov Regularization of Circle-Valued Signals

IEEE Transactions on Signal Processing, 2022
It is common to have to process signals or images whose values are cyclic and can be represented as points on the complex circle, like wrapped phases, angles, orientations, or color hues. We consider a Tikhonov-type regularization model to smoothen or interpolate circle-valued signals defined on arbitrary graphs.
openaire   +5 more sources

Image and video analysis using graph neural network for Internet of Medical Things and computer vision applications

CAAI Transactions on Intelligence Technology, EarlyView.
Abstract Graph neural networks (GNNs) have revolutionised the processing of information by facilitating the transmission of messages between graph nodes. Graph neural networks operate on graph‐structured data, which makes them suitable for a wide variety of computer vision problems, such as link prediction, node classification, and graph classification.
Amit Sharma, Ashutosh Sharma, Alexey Tselykh, Alexander Bozhenyuk, Byung‐Gyu Kim   +4 more
wiley   +1 more source