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Difference Subspace and Its Generalization for Subspace-Based Methods
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2015Subspace-based methods are known to provide a practical solution for image set-based object recognition. Based on the insight that local shape differences between objects offer a sensitive cue for recognition, this paper addresses the problem of extracting a subspace representing the difference components between class subspaces generated from each set
Kazuhiro Fukui
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Nonstationary Consistency of Subspace Methods
IEEE Transactions on Automatic Control, 2007In this paper, we study ldquononstationary consistencyrdquo of subspace methods for eigenstructure identification, i.e., the ability of subspace algorithms to converge to the true eigenstructure despite nonstationarities in the excitation and measurement noises. Note that such nonstationarities may result in having time-varying zeros for the underlying
A Benveniste, Laurent Mevel
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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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Realization of stable models with subspace methods
Automatica, 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 ...
J M Maciejowski
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A framework for subspace identification methods
Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148), 2001Similarities and differences among various subspace identification methods (MOESP, N4SID and CVA) are examined by putting them in a general regression framework. Subspace identification methods consist of three steps: estimating the predictable subspace for multiple future steps, then extracting state variables from this subspace and finally fitting ...
Ruijie Shi, John F. MacGregor
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Subspace methods for robot vision
IEEE Transactions on Robotics and Automation, 1996In contrast to the traditional approach, visual recognition is formulated as one of matching appearance rather than shape. For any given robot vision task, all possible appearance variations define its visual workspace. A set of images is obtained by coarsely sampling the workspace.
Shree K. Nayar +2 more
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Boosting random subspace method
Neural Networks, 2008In this paper we propose a boosting approach to random subspace method (RSM) to achieve an improved performance and avoid some of the major drawbacks of RSM. RSM is a successful method for classification. However, the random selection of inputs, its source of success, can also be a major problem.
Nicolás García-Pedrajas +1 more
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Subspace methods for computational relighting
SPIE Proceedings, 2013We propose a vector space approach for relighting a Lambertian convex object with distant light source, whose crucial task is the decomposition of the reflectance function into albedos (or reflection coefficients) and lightings based on a set of images of the same object and its 3-D model.
Ha Q. Nguyen 0001 +2 more
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The subspace method in Hilbert space
Systems and Computers in Japan, 2001AbstractThe subspace method has usually been applied to a multidimensional space (i.e., feature space) which uses features as its basis. A subspace method can also be applied to a functional space, since the subspace can be defined by an arbitrary linear space. This paper proposes the mapping of a feature space onto the Hilbert subspace so that pattern
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On Moment Methods in Krylov Subspaces
Doklady Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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