Results 11 to 20 of about 12,007 (165)
The Moore–Penrose Pseudoinverse: A Tutorial Review of the Theory [PDF]
Brazilian journal of physics, 2011 In the last decades, the Moore–Penrose pseudoinverse has found a wide range of applications in many areas of science and became a useful tool for physicists dealing, for instance, with optimization problems, with data analysis, with the solution of ...
J. C. A. Barata, M. S. Hussein
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A formula for the categorical magnitude in terms of the Moore-Penrose pseudoinverse [PDF]
Bulletin of the Belgian Mathematical Society Simon Stevin, 2023 The magnitude of finite categories is a generalization of the Euler characteristic. It is defined using the coarse incidence algebra of rational-valued functions on the given finite category, and a distinguished element in this algebra: the Dirichlet ...
Stephanie Chen, Juan Pablo Vigneaux
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Beyond Moore-Penrose: Sparse pseudoinverse [PDF]
IEEE International Conference on Acoustics, Speech, and Signal Processing, 2013 Frequently, we use the Moore-Penrose pseudoinverse (MPP) even in cases when we do not require all of its defining properties. But if the running time and the storage size are critical, we can do better.
Ivan Dokmanić +2 more
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The Use of the Moore-Penrose Pseudoinverse for Evaluating the RGA of Non-Square Systems [PDF]
Iraqi Journal of Computer, Communication, Control and System Engineering, 2021 A recently-derived alternative method for computing the relative gain array (RGA) for singular and/or non-square systems has been proposed, which provably guarantees unit invariance.
Rafal Qasim Al Yousuf, Jeffrey Uhlmann
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Stacked Regression With a Generalization of the Moore-Penrose Pseudoinverse [PDF]
Statistics in Transition New Series, 2017 In practice, it often happens that there are a number of classification methods. We are not able to clearly determine which method is optimal. We propose a combined method that allows us to consolidate information from multiple sources in a better ...
Tomasz Górecki, Maciej Łuczak
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Characterization of Matrices Satisfying the Reverse Order Law for the Moore-Penrose Pseudoinverse [PDF]
arXiv.orgWe give a constructive characterization of matrices satisfying the reverse-order law for the Moore--Penrose pseudoinverse. In particular, for a given matrix $A$ we construct another matrix $B$, of arbitrary compatible size and chosen rank, in terms of ...
Oskar Kędzierski
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European Physical Journal C: Particles and FieldsThe Moore–Penrose algorithm provides a generalized notion of an inverse, applicable to degenerate matrices. In this paper, we introduce a covariant extension of the Moore–Penrose method that permits to deal with general relativity involving complex non ...
Arthur Garnier, Emmanuele Battista
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On Moore-Penrose Pseudoinverse Computation for Stiffness Matrices Resulting from Higher Order Approximation [PDF]
Mathematical Problems in Engineering, 2019 Computing the pseudoinverse of a matrix is an essential component of many computational methods. It arises in statistics, graphics, robotics, numerical modeling, and many more areas.
Marek Klimczak, Witold Cecot
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Linear discriminant analysis with a generalization of the Moore–Penrose pseudoinverse [PDF]
International Journal of Applied Mathematics and Computer Sciences, 2013 The Linear Discriminant Analysis (LDA) technique is an important and well-developed area of classification, and to date many linear (and also nonlinear) discrimination methods have been put forward. A complication in applying LDA to real data occurs when
Tomasz Górecki, Maciej Łuczak
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Differentiable SVD based on Moore-Penrose Pseudoinverse for Inverse Imaging Problems [PDF]
arXiv.orgLow-rank regularization-based deep unrolling networks have achieved remarkable success in various inverse imaging problems (IIPs). However, the singular value decomposition (SVD) is non-differentiable when duplicated singular values occur, leading to ...
Yinghao Zhang, Yue Hu
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