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Spectral Variants of Krylov Subspace Methods
Numerical Algorithms, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brígida Molina, Marcos Raydan
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On Consistency of Subspace Methods for System Identification
Automatica, 1998The authors consider consistency of subspace methods for system identification. They give conditions ensuring consistency of the subspace methods used in subspace identification methods. For systems without noise, a persistence of excitation condition on the input signal can ensure the consistency. Moreover, the authors give a system for which subspace
Magnus Jansson, Bo Wahlberg
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From Subspace to Submanifold Methods
Procedings of the British Machine Vision Conference 2004, 2004Twenty years ago it was not obvious that subspace approximations would be such a successful representation for faces and other phenomena whose measurement-space manifolds exhibit clear nonlinearities. Now PCA is ubiquitous in computer vision and, although its globally linear view of the data manifold can be a liability as systems scale up, it is not ...
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Admissible subspaces and the subspace iteration method
BIT Numerical MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Realization of Stable Models with Subspace Methods
IFAC Proceedings Volumes, 1996The paper deals with estimating the dynamics of stable linear state-space systems by stable approximants of the models computed from the least-squares approach. Either asymptotic or marginal stability is taken into account for the approximate model. In the first stage, the shift invariance approach is used where the system matrix is recovered from the ...
N. L. C. Chui, Jan M. Maciejowski
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Projection Methods in Krylov Subspaces
Journal of Mathematical Sciences, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An enhanced subspace method for face recognition
Pattern Recognition Letters, 2006In this paper we introduce a new face recognition approach based on the representation of each individual by several lower dimensional subspaces obtained by an unsupervised clustering of different poses: this provides a higher robustness to face variations than traditional subspace approaches. A set of subspaces is created for each individual, starting
Annalisa Franco +3 more
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Consistency and relative efficiency of subspace methods
Automatica, 1994Some identification procedures for linear stochastic systems are analyzed and compared. The systems are assumed to be stable. Strictly, minimum phase and having a known order. The first algorithm was proposed by Akaike (1976), the second one was presented by Larimore (1983).
Deistler, Manfred +2 more
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Error-Minimizing Krylov Subspace Methods
SIAM Journal on Scientific Computing, 1994This paper first introduces generalized conjugate gradient methods which specialize to error minimizing procedures as well as to residual minimizing methods. General minimum error methods are then introduced, and the two method classes are compared.
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A Brief History of the Subspace Methods
2011I hope to start from one question. "Is the eigenface[1] a subspace method?" Answer is weakly YES and strongly NO. In wide meaning in Subspace method of pattern recognition is that uses subspace. In this meaning the answer is YES. However in narrow meaning the term "Subspace method" means pattern recognition techniques that represent class featuring ...
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