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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3D Object Recognition Based on Canonical Angles between Shape Subspaces
Lecture Notes in Computer Science, 2011We propose a method to measure similarity of shape for 3D objects using 3-dimensional shape subspaces produced by the factorization method. We establish an index of shape similarity by measuring the geometrical relation between two shape subspaces using canonical angles. The proposed similarity measure is invariant to camera rotation and object motion,
Kazuhiro Fukui, Fukui Kazuhiro
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Sharp Kernels and Canonical Subspaces (Revised)
American Journal of Mathematics, 1988The author studies certain invariant subspaces under the m-tuple of multiplication by the coordinate functions on an analytic functional Hilbert space over a bounded domain of C m, \(m>I\).
Agrawal, Om P., Salinas, Norberto
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Rotated canonical analysis onto a reference subspace
Computational Statistics & Data Analysis, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BALBI, SIMONA, ESPOSITO VINZI, VINCENZO
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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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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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