Results 1 to 10 of about 8,436,612 (364)

Crystallization of random matrix orbits [PDF]

open access: yesInternational Mathematics Research Notices, 2017
Three operations on eigenvalues of real/complex/quaternion (corresponding to $\beta=1,2,4$) matrices, obtained from cutting out principal corners, adding, and multiplying matrices can be extrapolated to general values of $\beta>0$ through associated ...
V. Gorin, A. Marcus
semanticscholar   +6 more sources

Random Matrix Transformation and Its Application in Image Hiding [PDF]

open access: yesSensors, 2023
Image coding technology has become an indispensable technology in the field of modern information. With the vigorous development of the big data era, information security has received more attention.
Jijun Wang, Fun Soo Tan, Yi Yuan
doaj   +2 more sources

Extremal correlators and random matrix theory [PDF]

open access: yesJournal of High Energy Physics, 2021
We study the correlation functions of Coulomb branch operators of four-dimensional N $$ \mathcal{N} $$ = 2 Superconformal Field Theories (SCFTs).
Alba Grassi   +2 more
doaj   +2 more sources

The feasibility and stability of large complex biological networks: a random matrix approach. [PDF]

open access: yesSci Rep, 2018
In the 70’s, Robert May demonstrated that complexity creates instability in generic models of ecological networks having random interaction matrices A. Similar random matrix models have since been applied in many disciplines.
Stone L.
europepmc   +2 more sources

Optimized Tail Bounds for Random Matrix Series [PDF]

open access: yesEntropy
Random matrix series are a significant component of random matrix theory, offering rich theoretical content and broad application prospects. In this paper, we propose modified versions of tail bounds for random matrix series, including matrix Gaussian ...
Xianjie Gao   +2 more
doaj   +2 more sources

Supersymmetric SYK model and random matrix theory [PDF]

open access: yesJournal of High Energy Physics, 2017
In this paper, we investigate the effect of supersymmetry on the symmetry classification of random matrix theory ensembles. We mainly consider the random matrix behaviors in the N = 1 $$ \mathcal{N}=1 $$ supersymmetric generalization of Sachdev-Ye-Kitaev
Tianlin Li   +3 more
doaj   +2 more sources

A random matrix approach to credit risk. [PDF]

open access: yesPLoS ONE, 2014
We estimate generic statistical properties of a structural credit risk model by considering an ensemble of correlation matrices. This ensemble is set up by Random Matrix Theory.
Michael C Münnix   +2 more
doaj   +2 more sources

Superstatistics in Random Matrix Theory [PDF]

open access: yesSultan Qaboos University Journal for Science, 2012
Random matrix theory (RMT) provides a successful model for quantum systems, whose classical counterpart has chaotic dynamics. It is based on two assumptions: (1) matrix-element independence, and (2) base invariance.
A.Y. Abul-Magd
doaj   +5 more sources

Denoising of diffusion MRI using random matrix theory. [PDF]

open access: yesNeuroimage, 2016
Veraart J   +5 more
europepmc   +2 more sources

More Than a Toy: Random Matrix Models Predict How Real-World Neural Representations Generalize [PDF]

open access: yesInternational Conference on Machine Learning, 2022
Of theories for why large-scale machine learning models generalize despite being vastly overparameterized, which of their assumptions are needed to capture the qualitative phenomena of generalization in the real world?
Alexander Wei, Wei Hu, J. Steinhardt
semanticscholar   +1 more source

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