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» Eigenvectors and Reconstruction
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COMBINATORICS
2007
85views more  COMBINATORICS 2007»
13 years 10 months ago
Eigenvectors and Reconstruction
In this paper, we study the simple eigenvectors of two hypomorphic matrices using linear algebra. We also give new proofs of results of Godsil and McKay.
Hongyu He
NPL
2006
100views more  NPL 2006»
13 years 10 months ago
Constrained Projection Approximation Algorithms for Principal Component Analysis
Abstract. In this paper we introduce a new error measure, integrated reconstruction error (IRE) and show that the minimization of IRE leads to principal eigenvectors (without rotat...
Seungjin Choi, Jong-Hoon Ahn, Andrzej Cichocki
EWMF
2005
Springer
14 years 4 months ago
Discovering a Term Taxonomy from Term Similarities Using Principal Component Analysis
Abstract. We show that eigenvector decomposition can be used to extract a term taxonomy from a given collection of text documents. So far, methods based on eigenvector decompositio...
Holger Bast, Georges Dupret, Debapriyo Majumdar, B...
MOC
2010
13 years 5 months ago
Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements
In this paper, we propose an original optimization approach for reconstructing interface changes of a conductivity inclusion from measurements of eigenvalues and eigenvectors asso...
Habib Ammari, Elena Beretta, Elisa Francini, Hyeon...