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Random matrix

In probability theory and mathematical physics, a random matrix is a matrix-valued random variable—that is, a matrix in which some or all of its entries are sampled randomly from a probability distribution. Random matrix theory (RMT) is the study of properties of random matrices, often as they become large. RMT provides techniques like mean-field theory…

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Random matrix

Nodes121
Edges120
Triples169
Avg. degree1.98
Density0.016529
Components1

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Random matrix

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related to Books · 59
Random matrix → Akemann, American Mathematical Society, Amsterdam, An, Anderson, Bai, Baik, Bouchaud, Cambridge, Cambridge University Press, Courant, Courant Institute, Data Scientists, Deift, Di Francesco, Dimitri, Elsevier/Academic Press, Engineers, First Course, Forrester
related to Survey articles · 37
Random matrix → Acta Numerica, American Mathematical Society, Beenakker, Bertrand, Bibcode, Bulletin, Carlo, Diaconis, Edelman, Eynard, ISSN, Josiah Willard Gibbs, Kimura, Math, Modern Physics, MR, New Series, Notices, Pastur, Patterns
related to Computational neuroscience · 11
Random matrix → Dynamical, In, Instead, Kaiser's, Marchenko-Pastur, PCA, Random, Results, The, This, When
related to Mathematical statistics and numerical analysis · 11
Random matrix → Although, Bernstein, Chernoff, Herman Goldstine, Hermitian, Hoeffding-type, In, John, John Wishart, Neumann, Random
related to history · 10
Random matrix → Because, Enrico Fermi, Eugene Wigner, Experiments, For, Hamiltonian, Leonard Eisenbud, Niels Bohr, Random, Wishart
related to Gaussian ensembles · 8
Random matrix → Dyson, Gaussian, GOE, GSE, GUE, The, They, This
related to Physics · 8
Random matrix → BGS, Bohigas, Eugene Wigner, Giannoni, Hamiltonians, In, Schmit, Wigner
related to External links · 6
Random matrix → Bibcode, Fyodorov, Random, Scholarpedia, Weisstein, Wolfram MathWorld
related to Wishart matrices · 6
Random matrix → Gaussian, In, Leonid Pastur, The, Vladimir Marchenko, Wishart
related to Free probability · 4
Random matrix → The, This, Voiculescu, Wigner's

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random displaystyle matrices matrix eigenvalues distribution theory measure spectral frac gaussian ensembles ensemble lambda probability limit one density doi number

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SubjectPredicateObjectConfidenceSrc
Random matrixis amatrix-valued random variable0.90text
matrix multiplicationinstance ofrandom matrices have been used since the work of John von Neumann and Herman Goldstine to describe computation errors in operations0.80text
fMRIinstance ofthe stability of fluctuations depends on connection strength variation and time to synchrony depends on network topology.In the analysis of massive data0.80text
random matrix theory has been applied in order to perform dimension reductioninstance ofthe stability of fluctuations depends on connection strength variation and time to synchrony depends on network topology.In the analysis of massive data0.80text
PCAinstance ofWhen applying an algorithm0.80text
it is important to be able to select the number of significant componentsinstance ofWhen applying an algorithm0.80text
Random matrixrelated to BooksLock-green0.60section
Random matrixrelated to BooksLock-gray-alt-20.60section
Random matrixrelated to BooksLock-red-alt-20.60section
Random matrixrelated to BooksWikisource-logo0.60section
Random matrixrelated to BooksMehta0.60section
Random matrixrelated to BooksRandom Matrices0.60section

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