Results 11 to 20 of about 108,441 (303)
Adaptive shrinkage of singular values [PDF]
Statistics and Computing, 2015 To recover a low rank structure from a noisy matrix, truncated singular value decomposition has been extensively used and studied. Recent studies suggested that the signal can be better estimated by shrinking the singular values. We pursue this line of research and propose a new estimator offering a continuum of thresholding and shrinking functions. To
Josse, Julie, Sardy, Sylvain
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Singular Values for ReLU Layers [PDF]
IEEE Transactions on Neural Networks and Learning Systems, 2020 Despite their prevalence in neural networks we still lack a thorough theoretical characterization of ReLU layers. This paper aims to further our understanding of ReLU layers by studying how the activation function ReLU interacts with the linear component of the layer and what role this interaction plays in the success of the neural network in achieving
Sören Dittmer +2 more
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Majorization and singular values. III [PDF]
Linear Algebra and its Applications, 1989 [For parts I and II see Linear Multilinear Algebra 21, 211--214 (1987; Zbl 0651.15014) and SIAM J. Matrix Anal. Appl. 10, No. 4, 429--434 (1989; Zbl 0686.15006).] Some majorization inequalities are obtained which relate the singular values of a complex square matrix from the corresponding space and those of the complex square matrix obtained by an ...
Bapat, R. B., Bapat, R.B.
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The singular values of the GOE [PDF]
Random Matrices: Theory and Applications, 2015 As a unifying framework for examining several properties that nominally involve eigenvalues, we present a particular structure of the singular values of the Gaussian orthogonal ensemble (GOE): the even-location singular values are distributed as the positive eigenvalues of a Gaussian ensemble with chiral unitary symmetry, while the odd-location ...
Bornemann, Folkmar, La Croix, Michael
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Influence blur off to a small radius on the digital image’s formal parameters
Trudy Odesskogo Politehničeskogo Universiteta, 2014 Information system security, in particular, identifying the violation of the integrity of digital images is considered an important task in today’s world of information technologies. When the integrity is violated, the image is often blurred.
Вікторія Вікторівна Зоріло
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Singular Value Decomposition of Complexes [PDF]
SIAM Journal on Applied Algebra and Geometry, 2019 Singular value decompositions of matrices are widely used in numerical linear algebra with many applications. In this paper, we extend the notion of singular value decompositions to finite complexes of real vector spaces. We provide two methods to compute them and present several applications.
Danielle A. Brake +4 more
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On Instability Analysis of Linear Feedback Systems
Computation, 2020 The numerical approximation of the μ -value is key towards the measurement of instability, stability analysis, robustness, and the performance of linear feedback systems in system theory.
Mutti-Ur Rehman, Jehad Alzabut
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On the N-spectrum of oriented graphs
Open Mathematics, 2020 Given any digraph D, its non-negative spectrum (or N-spectrum, shortly) consists of the eigenvalues of the matrix AA T, where A is the adjacency matrix of D.
Abudayah Mohammad +2 more
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Approximation numbers=singular values [PDF]
, 2007 This paper introduces a generalisation of the notion of singular value for Hilbert space operators to more general Banach spaces. It is shown that for a simple integral operator of Hardy type the singular values are the eigenvalues of a non-linear Sturm ...
Bennewitz, Christer
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Robust Parameter Estimation of an Empirical Manoeuvring Model Using Free-Running Model Tests
Journal of Marine Science and Engineering, 2021 The work presents the identification and validation of the hydrodynamic coefficients for the surge, sway, and yaw motion. This is performed in two ways: using simulated data and free-running test data.
Ana Catarina Costa +2 more
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