Results 11 to 20 of about 5,012,670 (186)
Majorization and singular values. III [PDF]
We obtain a majorization inequality which relates the singular values of a complex square matrix A and those of TA where T is a linear map. The inequality takes a particularly simple form if T is positive.
Bapat, R. B., Bapat, R.B.
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Max-Plus Singular Values [PDF]
In this paper we prove a new characterization of the max-plus singular values of a max- plus matrix, as the max-plus eigenvalues of an associated max-plus matrix pencil.
Hook, James
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Singular Vectors From Singular Values
8 ...
Weiwei Xu, Michael K. Ng 0001
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Adaptive shrinkage of singular values [PDF]
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 Value Decomposition of Complexes [PDF]
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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Singular Values for ReLU Layers [PDF]
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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On Instability Analysis of Linear Feedback Systems
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
doaj +1 more source
Stability of singular jump-linear systems with a large state space : a two-time-scale approach [PDF]
This paper considers singular systems that involve both continuous dynamics and discrete events with the coefficients being modulated by a continuous-time Markov chain. The underlying systems have two distinct characteristics.
Yuan, Chenggui +3 more
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5 pages, no figures; a few clarifying comments ...
Horowitz, Gary T., Myers, Robert
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Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators [PDF]
In this note self-adjoint realizations of second order elliptic differential expressions with non-local Robin boundary conditions on a domain Ω⊂Rn with smooth compact boundary are studied. A Schatten--von Neumann type estimate for the singular values of
Lotoreichik, Vladimir +2 more
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