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Stacking Using Truncated Singular Value Decomposition and Local Similarity
78th EAGE Conference and Exhibition 2016, 2016The similarity-weighted stacking takes use of the local similarity between each trace and a reference as the weight to stack the NMO-corrected prestack seismic data. The selection of reference trace plays a significant role in the final performance.
J.Y Xie +5 more
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Approximate convolution using partitioned truncated singular value decomposition filtering
2013 IEEE International Conference on Acoustics, Speech and Signal Processing, 2013In many signal processing applications it is necessary to perform large convolutions in real-time. For systems where an exact convolution is too complex we propose an approximation using a partitioned truncated singular value decomposition (PTSVD) filter.
Joshua Atkins, Adam Strauss, Chen Zhang
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Accelerating truncated singular-value decomposition
2018<p>Principal component analysis (PCA) is one of the most popular statistical procedures for dimension reduction. A modification of PCA, called robust principal component analysis (RPCA), has been studied to overcome the well-known shortness of PCA: sensitivity to outliers and corrupted data points.
HanQin Cai +5 more
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TP Model Transformation Via Sequentially Truncated Higher‐Order Singular Value Decomposition
Asian Journal of Control, 2014AbstractThe sequentially truncated higher‐order singular value decomposition (ST‐HOSVD) is applied to a tensor product (TP) model transformation instead of the compact form of HOSVD (CHOSVD). The goal is to reduce computational cost in the transformation.
Pan, Junjun, Lu, Linzhang
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Interior reconstruction using the truncated Hilbert transform via singular value decomposition
Journal of X-Ray Science and Technology: Clinical Applications of Diagnosis and Therapeutics, 2008The state-of-the-art technology for theoretically exact local computed tomography (CT) is to reconstruct an object function using the truncated Hilbert transform (THT) via the projection onto convex sets (POCS) method, which is iterative and computationally expensive.
Hengyong, Yu, Yangbo, Ye, Ge, Wang
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Singular value decomposition for the truncated Hilbert transform
Inverse Problems, 2010Starting from a breakthrough result by Gelfand and Graev, inversion of the Hilbert transform became a very important tool for image reconstruction in tomography. In particular, their result is useful when the tomographic data are truncated and one deals with an interior problem.
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Truncated singular value decomposition method for calibrating a Stokes polarimeter
SPIE Proceedings, 2007We present a method for calibrating polarimeters that uses a set of well-characterized reference polarizations and makes no assumptions about the optics contained in the polarimeter other than their linearity. The method requires that a matrix be constructed that contains the data acquired for each of the reference polarization states and that this ...
Bruno Boulbry +2 more
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Current Medical Imaging Formerly Current Medical Imaging Reviews, 2022
Background: Dynamic magnetic resonance imaging (dMRI) plays an important role in cardiac perfusion and functional clinical exams. However, further applications are limited by the speed of data acquisition. Objective: A low-rank plus sparse decomposition approach is often introduced for reconstructing dynamic magnetic resonance imaging (dMRI) from ...
Yang Li +6 more
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Background: Dynamic magnetic resonance imaging (dMRI) plays an important role in cardiac perfusion and functional clinical exams. However, further applications are limited by the speed of data acquisition. Objective: A low-rank plus sparse decomposition approach is often introduced for reconstructing dynamic magnetic resonance imaging (dMRI) from ...
Yang Li +6 more
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An improved extreme learning algorithm based on truncated singular value decomposition
The 27th Chinese Control and Decision Conference (2015 CCDC), 2015With respect to the ill-posed problem when calculating output weights of the ELM (Extreme Learning Machine), an improved ELM algorithm based on TSVD (Truncated Singular Value Decomposition) is proposed in this paper. The degree of ill-condition is severe if the hidden layer output matrix has a large condition number.
Jianhui Wang +4 more
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A modified truncated singular value decomposition method for discrete ill-posed problems.
Numerical Linear Algebra with Applications, 2014Summary: Truncated singular value decomposition is a popular method for solving linear discrete ill-posed problems with a small to moderately sized matrix \(A\). Regularization is achieved by replacing the matrix \(A\) by its best rank-\(k\) approximant, which we denote by \(A_k\).
NOSCHESE, Silvia, Lothar Reichel
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