Denoising of diffusion MRI using random matrix theory. [PDF]
Neuroimage, 2016 Veraart J +5 more
europepmc +2 more sources
Off-diagonal observable elements from random matrix theory: distributions, fluctuations, and eigenstate thermalization [PDF]
New Journal of Physics, 2018 We derive the eigenstate thermalization hypothesis (ETH) from a random matrix Hamiltonian by extending the model introduced by Deutsch (1991 Phys. Rev. A 43 2046).
C. Nation, D. Porras
semanticscholar +2 more sources
Massive-scale gene co-expression network construction and robustness testing using random matrix theory. [PDF]
PLoS One, 2013 The study of gene relationships and their effect on biological function and phenotype is a focal point in systems biology. Gene co-expression networks built using microarray expression profiles are one technique for discovering and interpreting gene ...
Gibson SM +5 more
europepmc +2 more sources
Random matrix theory and $QCD_3$
, 1994 We suggest that the spectral properties near zero virtuality of three dimensional QCD, follow from a Hermitean random matrix model. The exact spectral density is derived for this family of random matrix models both for even and odd number of fermions ...
A. N. Redlich +24 more
core +2 more sources
Diffusion MRI noise mapping using random matrix theory. [PDF]
Magn Reson Med, 2016 Veraart J, Fieremans E, Novikov DS.
europepmc +2 more sources
Eigenstate Thermalization Hypothesis and Its Deviations from Random-Matrix Theory beyond the Thermalization Time. [PDF]
Physical Review Letters, 2021 The eigenstate thermalization hypothesis explains the emergence of the thermodynamic equilibrium in isolated quantum many-body systems by assuming a particular structure of the observable's matrix elements in the energy eigenbasis.
Jiaozi Wang +5 more
semanticscholar +1 more source
Statistical limits of dictionary learning: random matrix theory and the spectral replica method [PDF]
Physical Review E, 2021 We consider increasingly complex models of matrix denoising and dictionary learning in the Bayes-optimal setting, in the challenging regime where the matrices to infer have a rank growing linearly with the system size.
Jean Barbier, N. Macris
semanticscholar +1 more source
Portfolio Optimization and Random Matrix Theory in Stock Exchange [PDF]
مدیریت نوآوری و راهبردهای عملیاتی, 2021 Purpose: This study aimed to optimize the stock portfolio based on stochastic matrix theory in the stock market and to answer whether the relevant information will exist using the Marčenko–Pastur distribution.Methodology: The data of 31 shares in the ...
mostafa heidari haratemeh
doaj +1 more source
JT gravity and the ensembles of random matrix theory [PDF]
Advances in Theoretical and Mathematical Physics, 2019 We generalize the recently discovered relationship between JT gravity and double-scaled random matrix theory to the case that the boundary theory may have time-reversal symmetry and may have fermions with or without supersymmetry.
D. Stanford, E. Witten
semanticscholar +1 more source
Test of the Eigenstate Thermalization Hypothesis Based on Local Random Matrix Theory.
Physical Review Letters, 2021 We verify that the eigenstate thermalization hypothesis (ETH) holds universally for locally interacting quantum many-body systems. Introducing random matrix ensembles with interactions, we numerically obtain a distribution of maximum fluctuations of ...
Shoki Sugimoto +2 more
semanticscholar +1 more source