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On frequency weighted balanced truncation technique retaining Hankel singular values
Proceedings of the 2004 IEEE International Conference on Control Applications, 2004., 2005A modification to Lin and Chiu's technique of frequency weighted balanced truncation is presented. The method is based on simultaneously diagonalizing the frequency weighted controllability and observability Gramians. Instead of obtaining the reduced order models from the truncated frequency weighted balanced realization as in the conventional ...
Abdul Ghafoor 0002 +2 more
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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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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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Truncated singular value decomposition for semantic-based data retrieval
2013 Third International Conference on Communications and Information Technology (ICCIT), 2013This paper addresses the increasingly encountered challenge of knowledge indexation. In the past decade, research on numerical schemes on knowledge indexation has been quite intensive. Vector space model is only based on the information contained in term weighting and does therefore not process the semantic contained in the sequence in which the words ...
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Determination of singular value truncation threshold for regularization in ill-posed problems
Inverse Problems in Science and Engineering, 2020Appropriate regularization parameter specification is the linchpin for solving ill-posed inverse problems when regularization method is applied.
Shuyong Duan +3 more
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Interior reconstruction using the truncated Hilbert transform via singular value decomposition
Journal of X-Ray Science and Technology, 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
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On the Jacobians of the Factors of the Truncated Singular Value Decomposition
HighlightsOn the Jacobians of the Factors of the Truncated Singular Value DecompositionThe aim of this paper is to derive analytical expressions for the Jacobians for the factors of the Truncated Singular Value Decomposition (TSVD) of a matrix. The starting point of this study is an earlier work by \cite{GratTshi16} on the second-order expansion of theJean Tshimanga-Ilunga +1 more
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A truncated singular value decomposition method for angular super-resolution in scanning radar
2015 IEEE International Geoscience and Remote Sensing Symposium (IGARSS), 2015Angular super-resolution of scanning radar is an important problem in radar system. Some deconvolution methods are used to realize the angular super-resolution in scanning radar. However, the ill-posed nature of the deconvolution problem leads to the noise amplification in the angular super-resolution image.
Yulin Huang 0001 +2 more
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A Trust-Region Method for Solving Truncated Complex Singular Value Decomposition
Journal of Computational MathematicsThe truncated singular value decomposition has been widely used in many areas of science including engineering, and statistics, etc. In this paper, the original truncated complex singular value decomposition problem is formulated as a Riemannian optimization problem on a product of two complex Stiefel manifolds, a practical algorithm based on the ...
Li, Jiaofen +4 more
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Singular value decomposition for the truncated Hilbert transform: part II
Inverse Problems, 2011Hilbert 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 .
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