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A Random Matrix Theory Approach to Denoise Single-Cell Data [PDF]

open access: yesPatterns, 2020
Summary: Single-cell technologies provide the opportunity to identify new cellular states. However, a major obstacle to the identification of biological signals is noise in single-cell data. In addition, single-cell data are very sparse. We propose a new
Luis Aparicio   +3 more
doaj   +4 more sources

A Note on Cumulant Technique in Random Matrix Theory [PDF]

open access: yesEntropy, 2023
We discuss the cumulant approach to spectral properties of large random matrices. In particular, we study in detail the joint cumulants of high traces of large unitary random matrices and prove Gaussian fluctuation for pair-counting statistics with non ...
Alexander Soshnikov, Chutong Wu
doaj   +2 more sources

Variability in mRNA translation: a random matrix theory approach [PDF]

open access: yesScientific Reports, 2021
The rate of mRNA translation depends on the initiation, elongation, and termination rates of ribosomes along the mRNA. These rates depend on many “local” factors like the abundance of free ribosomes and tRNA molecules in the vicinity of the mRNA molecule.
Michael Margaliot   +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

Dynamic Functional Connectivity Change-Point Detection With Random Matrix Theory Inference [PDF]

open access: yesFrontiers in Neuroscience, 2021
To study the dynamic nature of brain activity, functional magnetic resonance imaging (fMRI) data is useful including some temporal dependencies between the corresponding neural activity estimates.
Jaehee Kim   +3 more
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   +4 more sources

Random matrix theory of the isospectral twirling [PDF]

open access: yesSciPost Physics, 2021
We present a systematic construction of probes into the dynamics of isospectral ensembles of Hamiltonians by the notion of Isospectral twirling, expanding the scopes and methods of ref.[1].
Salvatore F. E. Oliviero, Lorenzo Leone, Francesco Caravelli, Alioscia Hamma
doaj   +4 more sources

Uncovering functional signature in neural systems via random matrix theory. [PDF]

open access: yesPLoS Computational Biology, 2019
Neural systems are organized in a modular way, serving multiple functionalities. This multiplicity requires that both positive (e.g. excitatory, phase-coherent) and negative (e.g.
Assaf Almog   +6 more
doaj   +2 more sources

Supersymmetric SYK model and random matrix theory

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   +3 more sources

A random-matrix theory of the number sense. [PDF]

open access: yesPhilos Trans R Soc Lond B Biol Sci, 2017
Number sense, a spontaneous ability to process approximate numbers, has been documented in human adults, infants and newborns, and many other animals. Species as distant as monkeys and crows exhibit very similar neurons tuned to specific numerosities. How number sense can emerge in the absence of learning or fine tuning is currently unknown.
Hannagan T   +3 more
europepmc   +4 more sources

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