Results 51 to 60 of about 8,171,715 (369)
Circular Rosenzweig-Porter random matrix ensemble
SciPost Physics, 2022 The Rosenzweig-Porter random matrix ensemble serves as a qualitative phenomenological model for the level statistics and fractality of eigenstates across the many-body localization transition in static systems. We propose a unitary (circular) analogue of
Wouter Buijsman, Yevgeny Bar Lev
doaj +1 more source
A Random Matrix Perspective on Random Tensors
, 2021 Tensor models play an increasingly prominent role in many fields, notably in machine learning. In several applications, such as community detection, topic modeling and Gaussian mixture learning, one must estimate a low-rank signal from a noisy tensor.
Goulart, José Henrique de M +2 more
openaire +3 more sources
Stability of Random Matrix Models [PDF]
Rocky Mountain Journal of Mathematics, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Schreiber, Micheline A. +1 more
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A Random Matrix Approach to Neural Networks [PDF]
arXiv.org, 2017 This article studies the Gram random matrix model $G=\frac1T\Sigma^{\rm T}\Sigma$, $\Sigma=\sigma(WX)$, classically found in the analysis of random feature maps and random neural networks, where $X=[x_1,\ldots,x_T]\in{\mathbb R}^{p\times T}$ is a (data ...
Cosme Louart +2 more
semanticscholar +1 more source
Predicting protein-ligand affinity with a random matrix framework. [PDF]
Proc Natl Acad Sci U S A, 2016 Lee AA, Brenner MP, Colwell LJ.
europepmc +2 more sources
A random matrix theory of decoherence [PDF]
New Journal of Physics, 2008 Random matrix theory is used to represent generic loss of coherence of a fixed central system coupled to a quantum-chaotic environment, represented by a random matrix ensemble, via random interactions. We study the average density matrix arising from the ensemble induced, in contrast to previous studies where the average values of purity, concurrence ...
Carlos Pineda +4 more
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Eigenstate Thermalization, Random Matrix Theory, and Behemoths. [PDF]
Physical Review Letters, 2018 The eigenstate thermalization hypothesis (ETH) is one of the cornerstones of contemporary quantum statistical mechanics. The extent to which ETH holds for nonlocal operators is an open question that we partially address in this Letter.
Ivan M Khaymovich, M. Haque, P. McClarty
semanticscholar +1 more source
The Characteristic Polynomial of a Random Matrix
Combinatorica, 2022 Form an $n \times n$ matrix by drawing entries independently from $\{\pm1\}$ (or another fixed nontrivial finitely supported distribution in $\mathbf{Z}$) and let $ $ be the characteristic polynomial. Conditionally on the extended Riemann hypothesis, with high probability $ $ is irreducible and $\mathrm{Gal}( ) \geq A_n$.
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Non-hermitian random matrix models [PDF]
Nuclear Physics B, 1997 49 pages RevTex, with modified feynmf sty, 9 EPSF figures included.
Maciej A. Nowak +3 more
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Many-Body Quantum Chaos: Analytic Connection to Random Matrix Theory [PDF]
Physical Review X, 2017 A new theory explains observed connections between the thermal phase in many-body quantum systems and random matrix theory, paving the way to a deeper understanding of this phase.
Pavel Kos, Marko Ljubotina, T. Prosen
semanticscholar +1 more source