Results 51 to 60 of about 133,787 (151)

Random matrix theory of sparse neuronal networks with heterogeneous timescales

SciPost Physics
Training recurrent neuronal networks consisting of excitatory (E) and inhibitory (I) units with additive noise for working memory computation slows and diversifies inhibitory timescales, leading to improved task performance that is attributed to emergent
Thiparat Chotibut, Oleg Evnin, Weerawit Horinouchi
doaj   +1 more source

Random matrix theory [PDF]

Scholarpedia, 2011
  +4 more sources

Random matrix theory within superstatistics [PDF]

Physical Review E, 2005
20 pages, 6 ...
openaire   +3 more sources

Federated Spectral Regularization for Convergence Acceleration: A Random Matrix Theory Perspective

Mathematics
Federated learning enables privacy-preserving distributed training but suffers from client drift and slow convergence under statistical data heterogeneity.
Shengyu Cai, Jianchao Bai
doaj   +1 more source

Random matrix theory and quantum chromodynamics [PDF]

, 2017
Abstract This chapter was originally presented to a mixed audience of physicists and mathematicians with some basic working knowledge of random matrix theory. The first part is devoted to the solution of the chiral Gaussian unitary ensemble in the presence of characteristic polynomials, using orthogonal polynomial techniques.
Akemann, Gernot, Schehr, Grégory, Altland, Alexander, Fyodorov, Yan V., O'Connell,, Neil, Cugliandolo, Leticia F.   +5 more
openaire   +3 more sources

PDE Methods in Random Matrix Theory [PDF]

, 2020
This article begins with a brief review of random matrix theory, followed by a discussion of how the large-$N$ limit of random matrix models can be realized using operator algebras. I then explain the notion of "Brown measure," which play the role of the eigenvalue distribution for operators in an operator algebra.
openaire   +2 more sources

A structural approach to detecting opinion leaders in Twitter by random matrix theory. [PDF]

Sci Rep, 2023
Mohammadi S, Moradi P, Trufanov A, Jafari GR.   +3 more
europepmc   +1 more source

Off-diagonal observable elements from random matrix theory: distributions, fluctuations, and eigenstate thermalization

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).
Charlie Nation, Diego Porras
doaj   +1 more source

Replica approach in random matrix theory [PDF]

, 2015
This article examines the replica method in random matrix theory (RMT), with particular emphasis on recently discovered integrability of zero-dimensional replica field theories. It first provides an overview of both fermionic and bosonic versions of the replica limit, along with its trickery, before discussing early heuristic treatments of zero ...
openaire   +2 more sources

Optimized Tail Bounds for Random Matrix Series

Entropy
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, Mingliang Zhang, Jinming Luo   +2 more
doaj   +1 more source