A variational characterization of canonical angles between subspaces
Journal of Geometry, 2003The min-max characterization is given for canonical (or principal) angles between two subspaces of an \(n\)-dimensional unitary space using recursively constructed pairs of vectors from inner products.
Vladimir Rakocevic, Harald K Wimmer
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Canonical analysis of two euclidean subspaces and its applications
The authors develop a canonical analysis both without constraints and under constraints for subspaces of Euclidean space. They essentially use operators; this functional approach is in particular justified, since canonical analysis of subspaces attains its full interest only when definitions and results are extended to the infinite dimensional case ...
Dauxois, J., Nkiet, G.M.
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Cyclic Subspaces, Duality and the Jordan Canonical Form
Springer Undergraduate Mathematics Series, 2015In this chapter we use the duality theory to analyze the properties of an endomorphism f on a finite dimensional vector space \(\mathcal V\) in detail. We are particularly interested in the algebraic and geometric multiplicities of the eigenvalues of f and the characterization of the corresponding eigenspaces.
Volker Mehrmann
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Antenna selection for Interference Alignment based on subspace Canonical Correlation
2012 International Symposium on Communications and Information Technologies (ISCIT), 2012The main objective of this contribution is to develop a novel antenna selection algorithm for Interference Alignment (IA) in multi-user communication systems. Successive IA requires high degree of independency among the channels, which could hardly exist in real-world environments.
Mohammed El-Absi +2 more
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Exploring Shared Subspace and Joint Sparsity for Canonical Correlation Analysis
Proceedings of the 23rd ACM International Conference on Conference on Information and Knowledge Management, 2014Canonical correlation analysis (CCA) has been extensively employed in various real-world applications of multi-label annotation. However, two major challenges are raised by the classical CCA. First, CCA frequently fails to remove noisy and irrelevant features.
Liang Tao +3 more
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A canonical subspace of modular forms of half-integral weight
Mathematische Annalen, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gun, Sanoli +2 more
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THE CANONICAL LATTICE ISOMORPHISM BETWEEN TOPOLOGIES COMPATIBLE WITH A VECTOR SPACE AND SUBSPACES
Tsukuba Journal of Mathematics, 2023Let \((K,\nu)\) be a non-discrete valued field whose metric completion is a locally compact space, \(X\) be a finite-dimensional vector space over \(K\), let \((\tau_K(X),\subset)\) be the lattice of all compatible topologies on \(X\) and \((\sigma_K(X),\supset)\) be the lattice of all \(K\)-subspaces of \(X\).
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A canonical representation for distributions of adaptive matched subspace detectors
Conference Record of the Thirty-First Asilomar Conference on Signals, Systems and Computers (Cat. No.97CB36136), 2002We present a unified derivation of the distributions for adaptive versions of matched subspace detectors (MSDs) derived by Scharf (see Statistical Signal Processing, Addison-Wesley, and IEEE Trans. Signal Processing, 1996). These include: (1) the matched filter detector, (2) the gain invariant (CFAR) matched filter detector (3) the phase invariant ...
S. Kraut, L.T. McWhorter, L.L. Scharf
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Channel estimation in unknown noise: application of canonical correlation decomposition in subspaces
Proceedings of the Eighth International Symposium on Signal Processing and Its Applications, 2005., 2006The popular subspace algorithm proposed by Mouline et al. performs well when the channel output is corrupted by white noise. However, when the channel noise is correlated as is often encountered in practice, the standard subspace method degrades in performance.
Xiaojuan He, Kon Max Wong
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Automatic image tagging as a random walk with priors on the canonical correlation subspace
Proceedings of the 1st ACM international conference on Multimedia information retrieval, 2008In this paper, we present a graph-based scheme founded on the GCap method of Pan et al. [12] to perform automatic image annotation. Our approach, namely enhanced GCap (EGCap), takes advantage of the canonical correlation analysis technique (CCA) to shorten the semantic gap in the image space and define a new metric in the text space to correlate ...
Timothée Bailloeul +2 more
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