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Distance-amplified power-law distributions better characterize human long-distance travel. [PDF]
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Regularization of electromagnetic scattering problems via the Abel integral transform. [PDF]
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Asymptotic behaviour of the singular values for the truncated Hilbert transform
2013 IEEE Nuclear Science Symposium and Medical Imaging Conference (2013 NSS/MIC), 2013We present new results on the singular value decomposition (SVD) of the truncated Hilbert transform (THT). The THT problem consists in recovering a function f(x) with support on an interval [a 2 , a 4 ] from the knowledge of its Hilbert transform over an interval [a 1 , a 3 ] which overlaps with the support of f, i.e. a 1 2 3 4 . This problem has
Al-Aifari, Reema +2 more
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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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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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On Frequency Weighted Balanced Truncation: Hankel Singular Values and Error Bounds
European Journal of Control, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tony Van Gestel +3 more
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Incremental algorithms for truncated higher-order singular value decompositions
BIT Numerical MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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