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searching for Random matrix 68 found (184 total)

Jean-Philippe Bouchaud (926 words) [view diff] exact match in snippet view article find links to article

applications of random matrix theory: a short review, Jean-Philippe Bouchaud, Marc Potters, in The Oxford Handbook of Random Matrix Theory Edited by

Random mapping (195 words) [view diff] exact match in snippet view article find links to article

categorized as feature extraction method. The RM consists in generation of a random matrix that is multiplied by each original vector and result in a reduced vector

Ivan Corwin (422 words) [view diff] exact match in snippet view article find links to article

mathematical physics, quantum integrable systems, stochastic PDEs, and random matrix theory. He is particularly known for work related to the Kardar–Parisi–Zhang

Random projection (1,829 words) [view diff] exact match in snippet view article find links to article

{\displaystyle k} -dimensional subspace, by multiplying on the left by a random matrix R ∈ R k × d {\displaystyle R\in \mathbb {R} ^{k\times d}} . Using matrix

Random Fibonacci sequence (1,032 words) [view diff] exact match in snippet view article find links to article

Hillel Furstenberg and Harry Kesten showed that for a general class of random matrix products, the norm grows as λn, where n is the number of factors. Their

Semilinear response (900 words) [view diff] exact match in snippet view article find links to article

(2008-06-04). "The mesoscopic conductance of disordered rings, its random matrix theory and the generalized variable range hopping picture". Journal

Roman Jackiw (491 words) [view diff] case mismatch in snippet view article find links to article

Douglas; Witten, Edward (7 July 2019). "JT Gravity and the Ensembles of Random Matrix Theory". arXiv:1907.03363 [hep-th]. Chakrabarty, Deepto (15 June 2023)

Scatter matrix (420 words) [view diff] case mismatch in snippet view article find links to article

2022-12-28. Liu, Zhedong (April 2019). Robust Estimation of Scatter Matrix, Random Matrix Theory and an Application to Spectrum Sensing (PDF) (Master of Science)

Graduate Studies in Mathematics (4,546 words) [view diff] case mismatch in snippet view article find links to article

Algebras, Ian M. Musson (2012, ISBN 978-0-8218-6867-6) 132 Topics in Random Matrix Theory, Terence Tao (2012, ISBN 978-0-8218-7430-1) 133 Hyperbolic Partial

Essential range (1,281 words) [view diff] case mismatch in snippet view article find links to article

Heidelberg: Springer. ISBN 0-387-98377-5. Cf. Tao, Terence (2012). Topics in Random Matrix Theory. American Mathematical Society. p. 29. ISBN 978-0-8218-7430-1

Stochastic geometry (1,289 words) [view diff] exact match in snippet view article find links to article

recently determinantal and permanental point processes (connected to random matrix theory) are beginning to play a role. Nearest neighbour function Spherical

Van H. Vu (617 words) [view diff] exact match in snippet view article find links to article

In 2010, Terence Tao and Vu solved the circular law conjecture in random matrix theory, which established the non-Hermitian version of Wigner semi-circle

Golden–Thompson inequality (2,221 words) [view diff] exact match in snippet view article find links to article

What's new. Retrieved January 19, 2025. Tao, Terence (2012). Topics in random matrix theory. Graduate studies in mathematics. Providence, R.I: American Mathematical

Peter Sarnak (965 words) [view diff] exact match in snippet view article find links to article

chaos, a term which he introduced, and to the relationship between random matrix theory and the zeros of L-functions. His work on subconvexity for Rankin–Selberg

Terence Tao (6,678 words) [view diff] exact match in snippet view article find links to article

complemented these results by drawing on a large corpus of past results in random matrix theory to show that, according to the Gaussian ensemble, a large number

Genetic variance (949 words) [view diff] exact match in snippet view article find links to article

differ from the random expectations that have been developed under random matrix theory (RMT). Using a data set containing a large number of gene expression

Édouard Brézin (1,267 words) [view diff] exact match in snippet view article find links to article

août 1988. North-Holland. 1990. ISBN 9780444884404. Brézin, E. (2016). Random matrix theory with an external source. Singapore: Springer. ISBN 978-981-10-3316-2

J (programming language) (2,221 words) [view diff] exact match in snippet view article

25 69.5 57.75 38.75 40 43.5 59.75 70.25 80 72.5 m=: ?. 4 5 $50 NB. a random matrix m 46 5 29 2 4 39 10 7 10 44 46 28 13 18 1 42 28 10 40 12 avg"1 m NB

NumPy (2,460 words) [view diff] exact match in snippet view article find links to article

83050847, 2.13559322, 1.18644068]) >>> c = rand(3, 3) * 20 # create a 3x3 random matrix of values within [0,1] scaled by 20 >>> c array([[ 3.98732789, 2.47702609

Kaczmarz method (4,851 words) [view diff] exact match in snippet view article find links to article

\|x\|_{B}=\left(\langle x,x\rangle _{B}\right)^{\frac {1}{2}},} and a random matrix S {\displaystyle S} with as many rows as A {\displaystyle A} (and possibly

Cauchy–Binet formula (4,153 words) [view diff] exact match in snippet view article find links to article

Cauchy–Binet formula, known as the Andréief identity, appears commonly in random matrix theory. It is stated as follows: let { f j ( x ) } j = 1 N {\displaystyle

Moorside High School, Swinton (920 words) [view diff] exact match in snippet view article find links to article

Jonathan Keating – Mathematician, known for work in quantum chaos and random matrix theory.[citation needed] Dave Robinson – Rugby league footballer who

Butterfly effect (5,515 words) [view diff] exact match in snippet view article find links to article

developed by Martin Gutzwiller and John B. Delos and co-workers. The random matrix theory and simulations with quantum computers prove that some versions

Hilbert–Pólya conjecture (1,679 words) [view diff] case mismatch in snippet view article find links to article

Rudnick, Zeev; Sarnak, Peter (1996), "Zeros of Principal L-functions and Random Matrix Theory", Duke Mathematical Journal, 81 (2): 269–322, doi:10.1215/s0012-7094-96-08115-6

Parchive (2,069 words) [view diff] exact match in snippet view article find links to article

files. More error correction code algorithms (such as LDPC and sparse random matrix). BLAKE3 hashes, dropping support for the MD5 hashes used in PAR2. par2+tbb[usurped]

Gene co-expression network (2,649 words) [view diff] exact match in snippet view article find links to article

used such as threshold selection based on clustering coefficient or random matrix theory. The problem with p-value based methods is that the final cutoff

Quantum dissipation (1,893 words) [view diff] exact match in snippet view article find links to article

Gruebele, M.; Wong, V. (2001). "Nonexponential dephasing in a local random matrix model". Physical Review A. 63 (2): 22502. Bibcode:2001PhRvA..63b2502W

Sato–Tate conjecture (1,420 words) [view diff] exact match in snippet view article find links to article

there is a conjectural theory for curves of genus n > 1. Under the random matrix model developed by Nick Katz and Peter Sarnak, there is a conjectural

Romanovski polynomials (1,976 words) [view diff] exact match in snippet view article find links to article

polynomials are also denoted as Cauchy polynomials in their applications in random matrix theory. The Rodrigues formula specifies the polynomial R(α,β) n(x) as

Logarithmic Sobolev inequalities (530 words) [view diff] exact match in snippet view article find links to article

Gross 1975a Gross 1975b Gross 1975a Tao, Terence (2012). Topics in random matrix theory. Graduate studies in mathematics. Providence, R.I: American Mathematical

Conjugate gradient method (8,421 words) [view diff] case mismatch in snippet view article find links to article

Courtney Paquette, Tom Trogdon, Jeffrey. "Random Matrix Theory and Machine Learning Tutorial". random-matrix-learning.github.io. Retrieved 2023-12-05.{{cite

EPS Statistical and Nonlinear Physics Prize (143 words) [view diff] exact match in snippet view article find links to article

contributions to non-equilibrium statistical physics, stochastic processes, and random matrix theory, in particular for his groundbreaking research on Abelian sandpiles

Min-max theorem (4,542 words) [view diff] exact match in snippet view article find links to article

minimax principle Max–min inequality Tao, Terence (2012). Topics in random matrix theory. Graduate studies in mathematics. Providence, R.I: American Mathematical

Retrieval Data Structure (1,514 words) [view diff] exact match in snippet view article find links to article

to solve the system of linear equations efficiently. Using a sparse random matrix h {\displaystyle h} makes retrievals cache inefficient because they

Singular value (1,807 words) [view diff] exact match in snippet view article find links to article

theorem Singular value decomposition Tao, Terence (2012). Topics in random matrix theory. Graduate studies in mathematics. Providence, R.I: American Mathematical

Ken Ono (1,774 words) [view diff] exact match in snippet view article find links to article

unsolved. Their work also establishes the Gaussian Unitary Ensemble random matrix condition in derivative aspect for the derivatives of the Riemann Xi

Oriol Bohigas Martí (618 words) [view diff] exact match in snippet view article find links to article

1103/PhysRevLett.52.1 Bohigas, O.; Giannoni, M.-J (1984), "Chaotic motion and random matrix theories", in Dehesa, J.S.; Gómez, J.M.G.; Polls, A. (eds.), Mathematical

Arthur Jaffe (2,759 words) [view diff] exact match in snippet view article find links to article

Liyuan; Garcia, Roy J.; Bu, Kaifeng; Jaffe, Arthur (2024). "Magic of random matrix product states". Physical Review B. 109 (17): 174207. arXiv:2211.10350v3

Knockoffs (statistics) (628 words) [view diff] exact match in snippet view article

condition: for any j {\displaystyle j} , the joint distribution of the random matrix [ X , X ~ ] {\displaystyle [\mathbf {X} ,{\tilde {\mathbf {X} }}]} does

Riemann hypothesis (16,742 words) [view diff] exact match in snippet view article find links to article

24033/bsmf.545 Reprinted in (Borwein et al. 2008). Hanga, Catalin (2020), Random matrix models for Gram's law (phd), University of York Hardy, G. H. (1914)

Jack function (1,853 words) [view diff] exact match in snippet view article find links to article

x_{m})=0,{\mbox{ if }}\kappa _{m+1}>0.} In some texts, especially in random matrix theory, authors have found it more convenient to use a matrix argument

Phase transition (6,649 words) [view diff] exact match in snippet view article find links to article

Majumdar, Satya N; Schehr, Grégory (31 January 2014). "Top eigenvalue of a random matrix: large deviations and third order phase transition". Journal of Statistical

Sedleian Professor of Natural Philosophy (306 words) [view diff] exact match in snippet view article find links to article

Keating has wide-ranging interests but is best known for his research in random matrix theory and its applications to quantum chaos, number theory, and the

Fast syndrome-based hash (2,941 words) [view diff] exact match in snippet view article find links to article

of using the parity check matrix of a permuted Goppa code, SB uses a random matrix H {\displaystyle H} . From the security point of view this can only

Power law (8,187 words) [view diff] case mismatch in snippet view article find links to article

"Implicit Self-Regularization in Deep Neural Networks: Evidence from Random Matrix Theory and Implications for Learning". arXiv:1810.01075 [cs.LG]. Reed

M. Lisa Manning (912 words) [view diff] exact match in snippet view article find links to article

PMID 25703651. S2CID 18154269. Merkel, Matthias; Manning, Lisa (2015). "A random matrix definition of the boson peak". EPL. 109 (36002): 36002. arXiv:1307.5904

Gershgorin circle theorem (2,973 words) [view diff] exact match in snippet view article find links to article

the centers of the circles, and the estimates are very good. For a random matrix, we would expect the eigenvalues to be substantially further from the

Steven J. Miller (1,334 words) [view diff] exact match in snippet view article find links to article

combinatorics, discrete geometry, number theory, probability, and random matrix theory at Williams College as part of the SMALL REU (Research Experiences

Tomaž Prosen (545 words) [view diff] case mismatch in snippet view article find links to article

Tomaž (2018-06-08). "Many-Body Quantum Chaos: Analytic Connection to Random Matrix Theory". Physical Review X. 8 (2): 021062. arXiv:1712.02665. Bibcode:2018PhRvX

Kate Marvel (1,478 words) [view diff] exact match in snippet view article find links to article

PMID 31043729. S2CID 141488431. Marvel, K.; Agvaanluvsan, U. (December 2010). "Random matrix theory models of electric grid topology". Physica A: Statistical Mechanics

Hadamard transform (4,739 words) [view diff] exact match in snippet view article find links to article

used in some versions of locality-sensitive hashing, to obtain pseudo-random matrix rotations. Fast Walsh–Hadamard transform Pseudo-Hadamard transform Haar

Metal foam (5,300 words) [view diff] exact match in snippet view article find links to article

Foaming of liquid or solid (powder) metal Vapor deposition (CVD on a random matrix ) Direct or indirect random casting of a mold containing beads or matrix

Ericson fluctuations (751 words) [view diff] no match in snippet view article find links to article

Guhr, Thomas; Müller–Groeling, Axel; Weidenmüller, Hans A. (1998). "Random-matrix theories in quantum physics: common concepts". Physics Reports. 299

List of conjectures (1,461 words) [view diff] exact match in snippet view article find links to article

conjecture intersection graphs 2010 Terence Tao and Van H. Vu circular law random matrix theory 2011 Joel Friedman; and independently by Igor Mineyev Hanna Neumann

Johnson–Lindenstrauss lemma (5,136 words) [view diff] exact match in snippet view article find links to article

eventually obtain one in polynomial random time. Based on. Construct a random matrix A ∼ N ( 0 , 1 ) k × n {\displaystyle A\sim {\mathcal {N}}(0,1)^{k\times

Estimation of covariance matrices (4,026 words) [view diff] exact match in snippet view article find links to article

random whose probability distribution we could profit by knowing. The random matrix S can be shown to have a Wishart distribution with n − 1 degrees of

Salvatore Torquato (7,364 words) [view diff] exact match in snippet view article find links to article

(2008). "Point processes in arbitrary dimension from Fermionic gases, random matrix theory, and number theory". J. Stat. Mech.: Theory Exp. 2008 (11): P11019

Hadamard variation formula (734 words) [view diff] exact match in snippet view article find links to article

1007/s11511-011-0061-3. ISSN 0001-5962. Tao, Terence (2012). Topics in random matrix theory. Graduate studies in mathematics. Providence, R.I: American Mathematical

Graphon (5,460 words) [view diff] exact match in snippet view article find links to article

jointly exchangeable arrays and, in this setting, asserts that the random matrix ( X i j ) {\displaystyle (X_{ij})} is generated by: Sample u j ∼ U [

Itbox (3,259 words) [view diff] no match in snippet view article find links to article

Word Soup – (a new name for Word Up) Here the computer generates a "random" matrix of letters with different point values based upon the machine's 'willingness'

FAISS (1,163 words) [view diff] no match in snippet view article find links to article

FAISS provides the following useful facilities: k-means clustering Random-matrix rotations for spreading the variance over all the dimensions without

Khatri–Rao product (4,395 words) [view diff] exact match in snippet view article find links to article

{\displaystyle T^{(1)},\dots ,T^{(c)}} are independent components a random matrix T {\displaystyle T} with independent identically distributed rows T

Hyperuniformity (4,601 words) [view diff] exact match in snippet view article find links to article

2008). "Point processes in arbitrary dimension from fermionic gases, random matrix theory, and number theory". Journal of Statistical Mechanics: Theory

Eigenstate thermalization hypothesis (5,544 words) [view diff] case mismatch in snippet view article find links to article

PMC 6465298. PMID 30988312. Sanjay Hortikar; Srednicki, Mark (1998). "Random Matrix Elements and Eigenfunctions in Chaotic Systems". Physical Review E.

Tensor sketch (4,517 words) [view diff] exact match in snippet view article find links to article

do so-called "data aware" tensor sketching. Instead of multiplying a random matrix on the data, the data points are sampled independently with a certain

List of women in mathematics (23,282 words) [view diff] exact match in snippet view article find links to article

noncommutative nil rings Nina Snaith (born 1974), British researcher in random matrix theory, quantum chaos, and zeta functions Vera Šnajder (1904–1976),

Olaf Lechtenfeld (2,596 words) [view diff] exact match in snippet view article find links to article

conformal methods for superstring field theory. Lechtenfeld then worked on random matrix models of two-dimensional quantum gravity, a topic he continued during

Sub-Gaussian distribution (7,008 words) [view diff] exact match in snippet view article find links to article

19: 1–25. doi:10.4064/sm-19-1-1-25. Tao, Terence (2012). Topics in random matrix theory. Graduate studies in mathematics. Providence, R.I: American Mathematical