Derivative of the truncated singular value and eigen decomposition [PDF]
Technical ...
Naumann, Jan
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Handle Matrix Rank Deficiency, Noise, and Interferences in 3D Emission-Excitation Matrices: Effective Truncated Singular-Value Decomposition in Chemometrics Applied to the Analysis of Polycyclic Aromatic Compounds. [PDF]
ACS Omega, 2022 Haouchine M +4 more
europepmc +2 more sources
Hyperspectral Multispectral Image Fusion via Fast Matrix Truncated Singular Value Decomposition
Remote Sensing, 2022 Recently, methods for obtaining a high spatial resolution hyperspectral image (HR-HSI) by fusing a low spatial resolution hyperspectral image (LR-HSI) and high spatial resolution multispectral image (HR-MSI) have become increasingly popular.
Hong Lin +3 more
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Singular value decomposition for the truncated Hilbert transform: part II
Inverse Problems, 2011 Hilbert transform is a very important tool in computed tomography. Image reconstruction from truncated tomographic data can be reduced to the problem of inverting the Hilbert transform knowing ψ on the interval [a2, a3], where a1 < a2 < a3 < a4. In this paper, we obtain a singular value decomposition for the operator .
Alexander Katsevich
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On the truncated multilinear singular value decomposition [PDF]
, 2011 In this report, we investigate the truncated multilinear singular value decomposition (MLSVD), as presented in [L. De Lathauwer, B. De Moor and J. Vandewalle, a multilinear singular value decomposition, 2000]. The T-MLSVD comprises a Tucker decomposition [L.R.
Nick Vannieuwenhoven +2 more
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An Investigation of Extended-Dimension Embedded CKF-SLAM Based on the Akaike Information Criterion [PDF]
SensorsSimultaneous localization and mapping (SLAM) faces significant challenges due to high computational costs, low accuracy, and instability, which are particularly problematic because SLAM systems often operate in real-time environments where timely and ...
Hanghang Xu +3 more
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Regularization of least squares problems in CHARMM parameter optimization by truncated singular value decompositions [PDF]
The Journal of Chemical Physics, 2021 We examine the use of the truncated singular value decomposition and Tikhonov regularization in standard form to address ill-posed least squares problems Ax = b that frequently arise in molecular mechanics force field parameter optimization. We illustrate these approaches by applying them to dihedral parameter optimization of genotoxic polycyclic ...
Derek J. Urwin +1 more
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Application of the projective truncation and randomized singular value decomposition to a higher dimension [PDF]
Proceedings of The 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)We study the tensor renormalization group (TRG) in the dimension larger than two as the Higher-order TRG (HOTRG) with the randomized SVD method. The randomized SVD and the detailed discussion on the low order tensor representation, we can calculate the HOTRG with the reduced computational cost.
Katsumasa Nakayama
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Efficient Thresholded Correlation using Truncated Singular Value Decomposition [PDF]
, 2015 Efficiently computing a subset of a correlation matrix consisting of values above a specified threshold is important to many practical applications. Real-world problems in genomics, machine learning, finance other applications can produce correlation matrices too large to explicitly form and tractably compute. Often, only values corresponding to highly-
James Baglama +3 more
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Applied Mathematics in Science and EngineeringIll-posed problems are prevalent in geodetic and geophysical data processing, significantly impacting the traditional least squares (LS) estimation.
Xinna Li +4 more
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