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ICML
2006
IEEE
15 years 10 months ago
R1-PCA: rotational invariant L1-norm principal component analysis for robust subspace factorization
Principal component analysis (PCA) minimizes the sum of squared errors (L2-norm) and is sensitive to the presence of outliers. We propose a rotational invariant L1-norm PCA (R1-PC...
Chris H. Q. Ding, Ding Zhou, Xiaofeng He, Hongyuan...
ICPR
2004
IEEE
15 years 10 months ago
Recognition of Expression Variant Faces Using Weighted Subspaces
In the past decade or so, subspace methods have been largely used in face recognition ? generally with quite success. Subspace approaches, however, generally assume the training d...
Aleix M. Martínez, Yongbin Zhang
TNN
1998
111views more  TNN 1998»
14 years 9 months ago
Asymptotic distributions associated to Oja's learning equation for neural networks
— In this paper, we perform a complete asymptotic performance analysis of the stochastic approximation algorithm (denoted subspace network learning algorithm) derived from Oja’...
Jean Pierre Delmas, Jean-Francois Cardos
SIAMSC
2010
160views more  SIAMSC 2010»
14 years 7 months ago
Shift-Invert Arnoldi Approximation to the Toeplitz Matrix Exponential
The shift-invert Arnoldi method is employed to generate an orthonormal basis from the Krylov subspace corresponding to a real Toeplitz matrix and an initial vector. The vectors and...
Spike T. Lee, Hong-Kui Pang, Hai-Wei Sun
STOC
2006
ACM
83views Algorithms» more  STOC 2006»
15 years 9 months ago
A randomized polynomial-time simplex algorithm for linear programming
We present the first randomized polynomial-time simplex algorithm for linear programming. Like the other known polynomial-time algorithms for linear programming, its running time ...
Jonathan A. Kelner, Daniel A. Spielman