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1,095,064
Stochastic Perturbation Theory
, 1988
"... . In this paper classical matrix perturbation theory is approached from a probabilistic point of view. The perturbed quantity is approximated by a firstorder perturbation expansion, in which the perturbation is assumed to be random. This permits the computation of statistics estimating the variatio ..."
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Cited by 886 (35 self)
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. In this paper classical matrix perturbation theory is approached from a probabilistic point of view. The perturbed quantity is approximated by a firstorder perturbation expansion, in which the perturbation is assumed to be random. This permits the computation of statistics estimating
The use of matrix perturbation theory for addressing sensitivity and uncertainty issues in LCA
 In: Proceedings of The Fifth International Conference on EcoBalance  Practical
"... LCA, even when modeled in the traditional way with linear equations, may show strong nonlinear sensitivities. Welldeveloped tools from matrix perturbation theory may be employed to investigate LCA systems for the presence and location of such extreme sensitivities. This knowledge is useful for sta ..."
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Cited by 1 (1 self)
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LCA, even when modeled in the traditional way with linear equations, may show strong nonlinear sensitivities. Welldeveloped tools from matrix perturbation theory may be employed to investigate LCA systems for the presence and location of such extreme sensitivities. This knowledge is useful
www.eeri.eu Rank Test Based On Matrix Perturbation Theory
, 2001
"... In this paper, we propose methods of the determination of the rank of matrix. We consider a rank test for an unobserved matrix for which an estimate exists having normal asymptotic distribution of order N1/2where N is the sample size. The test statistic is based on the smallest estimated singular va ..."
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values. Using Matrix Perturbation Theory, the smallest singular values of random matrix converge asymptotically to zero in the order O(N31) and the corresponding left and right singular vectors converge asymptotically in the order O(N31/2). Moreover, the asymptotic distribution of the test statistic
Raamsdonk, “Matrix perturbation theory for Mtheory on a ppwave,” hepth/0205185
"... In this paper, we study the matrix model proposed by Berenstein, Maldacena, and Nastase to describe Mtheory on the maximally supersymmetric ppwave. We show that the model may be derived directly as a discretized theory of supermembranes in the ppwave background, or alternatively, from the dynamic ..."
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Cited by 135 (14 self)
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In this paper, we study the matrix model proposed by Berenstein, Maldacena, and Nastase to describe Mtheory on the maximally supersymmetric ppwave. We show that the model may be derived directly as a discretized theory of supermembranes in the ppwave background, or alternatively, from
On Spectral Clustering: Analysis and an algorithm
 ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS
, 2001
"... Despite many empirical successes of spectral clustering methods  algorithms that cluster points using eigenvectors of matrices derived from the distances between the points  there are several unresolved issues. First, there is a wide variety of algorithms that use the eigenvectors in slightly ..."
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Cited by 1697 (13 self)
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in slightly different ways. Second, many of these algorithms have no proof that they will actually compute a reasonable clustering. In this paper, we present a simple spectral clustering algorithm that can be implemented using a few lines of Matlab. Using tools from matrix perturbation theory, we analyze
ChernSimons Gauge Theory as a String Theory
, 2003
"... Certain two dimensional topological field theories can be interpreted as string theory backgrounds in which the usual decoupling of ghosts and matter does not hold. Like ordinary string models, these can sometimes be given spacetime interpretations. For instance, threedimensional ChernSimons gaug ..."
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Cited by 551 (14 self)
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Certain two dimensional topological field theories can be interpreted as string theory backgrounds in which the usual decoupling of ghosts and matter does not hold. Like ordinary string models, these can sometimes be given spacetime interpretations. For instance, threedimensional Chern
String theory and noncommutative geometry
 JHEP
, 1999
"... We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero Bfield. We identify a limit in which the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a noncommutative space, and discuss the corrections away from ..."
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Cited by 801 (8 self)
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We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero Bfield. We identify a limit in which the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a noncommutative space, and discuss the corrections away from
Detection of Abrupt Changes: Theory and Application
 HTTP://PEOPLE.IRISA.FR/MICHELE.BASSEVILLE/KNIGA/
, 1993
"... ..."
Learning the Kernel Matrix with SemiDefinite Programming
, 2002
"... Kernelbased learning algorithms work by embedding the data into a Euclidean space, and then searching for linear relations among the embedded data points. The embedding is performed implicitly, by specifying the inner products between each pair of points in the embedding space. This information ..."
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Cited by 780 (22 self)
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is contained in the socalled kernel matrix, a symmetric and positive definite matrix that encodes the relative positions of all points. Specifying this matrix amounts to specifying the geometry of the embedding space and inducing a notion of similarity in the input spaceclassical model selection
The large N limit of superconformal field theories and supergravity
, 1998
"... We show that the large N limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of AntideSitter spacetimes, spheres and other compact manifolds. This is shown by taking some branes in the full M/string theory and ..."
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Cited by 5673 (21 self)
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We show that the large N limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of AntideSitter spacetimes, spheres and other compact manifolds. This is shown by taking some branes in the full M/string theory
Results 1  10
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1,095,064