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Robust principal component analysis?
 Journal of the ACM,
, 2011
"... Abstract This paper is about a curious phenomenon. Suppose we have a data matrix, which is the superposition of a lowrank component and a sparse component. Can we recover each component individually? We prove that under some suitable assumptions, it is possible to recover both the lowrank and the ..."
Abstract

Cited by 569 (26 self)
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rank and the sparse components exactly by solving a very convenient convex program called Principal Component Pursuit; among all feasible decompositions, simply minimize a weighted combination of the nuclear norm and of the 1 norm. This suggests the possibility of a principled approach to robust principal component
THE PRINCIPAL PROBLEM CONCERNING THESE PASSAGES
"... The task of this study is to present an exegesis of Ephesians 1:4,5,11, Romans 8:2830, 2 Thessalonians 2:13, Acts 2:23, and Acts 13:48—passages that frequently occur in discussions about the biblical doctrines of predestination, foreordination, and election. ..."
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The task of this study is to present an exegesis of Ephesians 1:4,5,11, Romans 8:2830, 2 Thessalonians 2:13, Acts 2:23, and Acts 13:48—passages that frequently occur in discussions about the biblical doctrines of predestination, foreordination, and election.
Nonlinear component analysis as a kernel eigenvalue problem

, 1996
"... We describe a new method for performing a nonlinear form of Principal Component Analysis. By the use of integral operator kernel functions, we can efficiently compute principal components in highdimensional feature spaces, related to input space by some nonlinear map; for instance the space of all ..."
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Cited by 1573 (83 self)
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We describe a new method for performing a nonlinear form of Principal Component Analysis. By the use of integral operator kernel functions, we can efficiently compute principal components in highdimensional feature spaces, related to input space by some nonlinear map; for instance the space of all
An iterative method for the solution of the eigenvalue problem of linear differential and integral
, 1950
"... The present investigation designs a systematic method for finding the latent roots and the principal axes of a matrix, without reducing the order of the matrix. It is characterized by a wide field of applicability and great accuracy, since the accumulation of rounding errors is avoided, through the ..."
Abstract

Cited by 537 (0 self)
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The present investigation designs a systematic method for finding the latent roots and the principal axes of a matrix, without reducing the order of the matrix. It is characterized by a wide field of applicability and great accuracy, since the accumulation of rounding errors is avoided, through
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 907 (36 self)
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. Two principal problems of matrix perturbation theory are the following. Given a matrix E, pr...
Survey on Independent Component Analysis
 NEURAL COMPUTING SURVEYS
, 1999
"... A common problem encountered in such disciplines as statistics, data analysis, signal processing, and neural network research, is nding a suitable representation of multivariate data. For computational and conceptual simplicity, such a representation is often sought as a linear transformation of the ..."
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Cited by 2309 (104 self)
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A common problem encountered in such disciplines as statistics, data analysis, signal processing, and neural network research, is nding a suitable representation of multivariate data. For computational and conceptual simplicity, such a representation is often sought as a linear transformation
Making; Elementary Education; *Principals; *Problem
"... While researchers can describe how some effective principals perform in some situations, little is known about what shapes their practice and what meaning they find in such practice. This report is part of a larger series exploring principals' problemsolving stratLgies and thought processes. T ..."
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While researchers can describe how some effective principals perform in some situations, little is known about what shapes their practice and what meaning they find in such practice. This report is part of a larger series exploring principals' problemsolving stratLgies and thought processes
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