Results 11 to 20 of about 11,206 (199)
Fuzzballs and random matrices [PDF]
Journal of High Energy Physics, 2023 Black holes are believed to have the fast scrambling properties of random matrices. If the fuzzball proposal is to be a viable model for quantum black holes, it should reproduce this expectation.
Suman Das +3 more
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A Generalized Probabilistic Monitoring Model with Both Random and Sequential Data [PDF]
at - Automatisierungstechnik, 2022 Many multivariate statistical analysis methods and their corresponding probabilistic counterparts have been adopted to develop process monitoring models in recent decades. However, the insightful connections between them have rarely been studied. In this
Wanke Yu, Min Wu, Biao Huang, Chengda Lu
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Approximately Hadamard matrices and Riesz bases in random frames [PDF]
International mathematics research notices, 2022 An $n \times n$ matrix with $\pm 1$ entries that acts on ${\mathbb {R}}^{n}$ as a scaled isometry is called Hadamard. Such matrices exist in some, but not all dimensions.
Xiaoyu Dong, M. Rudelson
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Norms on complex matrices induced by random vectors [PDF]
Canadian mathematical bulletin, 2022 We introduce a family of norms on the $n \times n$ complex matrices. These norms arise from a probabilistic framework, and their construction and validation involve probability theory, partition combinatorics, and trace polynomials in noncommuting ...
Ángel Chávez +2 more
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On Structured Random Matrices Defined by Matrix Substitutions
Mathematics, 2023 The structure of the random matrices introduced in this work is given by deterministic matrices—the skeletons of the random matrices—built with an algorithm of matrix substitutions with entries in a finite field of integers modulo some prime number, akin
M. Esquível, N. P. Krasii
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Introduction to the non-asymptotic analysis of random matrices [PDF]
Compressed Sensing, 2010 This is a tutorial on some basic non-asymptotic methods and concepts in random matrix theory. The reader will learn several tools for the analysis of the extreme singular values of random matrices with independent rows or columns.
R. Vershynin
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Eigenvalue repulsion and eigenvector localization in sparse non-Hermitian random matrices. [PDF]
Physical Review E, 2019 Complex networks with directed, local interactions are ubiquitous in nature and often occur with probabilistic connections due to both intrinsic stochasticity and disordered environments.
Grace H. Zhang, D. Nelson
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A Kth Nearest Neighbour Clustering Procedure
, 2015 Due to the lack of development in the probabilistic and statistical aspects of clustering research. clustering procedures are often regarded as heuristics generating artificial clusters from a given set of sample data.
M. Anthony Wong, T. Lane
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Sharp asymptotics for Fredholm Pfaffians related to interacting particle systems and random matrices [PDF]
Electronic Journal of Probability, 2019 It has been known since the pioneering paper of Mark Kac, that the asymptotics of Fredholm determinants can be studied using probabilistic methods. We demonstrate the efficacy of Kac' approach by studying the Fredholm Pfaffian describing the statistics ...
Will FitzGerald, R. Tribe, O. Zaboronski
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, 2015 In this study, the p-singular values of random matrices with Gaussian entries defined in terms of the lp-p-norm for p>1, as is studied. Mainly, using analytical techniques, we show the probabilistic estimate, precisely, the decay, on the upper tail ...
Yang Liu
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