Low-rank matrix approximations over canonical subspaces
Journal of Numerical Analysis and Approximation Theory, 2020 In this paper we derive closed form expressions for the nearest rank-\(k\) matrix on canonical subspaces. We start by studying three kinds of subspaces. Let \(X\) and \(Y\) be a pair of given matrices. The first subspace contains all the \(m\times
Achiya Dax
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Progressively shifting patterns of co-modulation among premotor cortex neurons carry dynamically similar signals during action execution and observation [PDF]
eLifeNeurons in macaque premotor cortex show firing rate modulation whether the subject performs an action or observes another individual performing a similar action.
Zhonghao Zhao, Marc H Schieber
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Solution of the reconstruction-of-the-measure problem for canonical invariant subspaces [PDF]
Annali Di Matematica Pura Ed Applicata, 2021 We study the Reconstruction-of-the-Measure Problem (ROMP) for commuting 2-variable weighted shifts $W_{(α,β)}$, when the initial data are given as the Berger measure of the restriction of $W_{(α,β)}$ to a canonical invariant subspace, together with the marginal measures for the 0-th row and 0-th column in the weight diagram for $W_{(α,β)}$.
Raúl Curto +2 more
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Perturbation analysis of the canonical subspaces
Linear Algebra and Its Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Musheng Wei
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Canonical analysis relative to a closed subspace
Linear Algebra and Its Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dauxois, J, Nkiet, G.M, Romain, Y
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Canonical analysis of two euclidean subspaces and its applications
Linear Algebra and Its Applications, 1997 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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Mapping the structure of neural states associated with conscious experience [PDF]
Frontiers in Human NeuroscienceA central challenge in consciousness research concerns the relationship between neural activity and conscious experience. While decades of work have identified numerous neural correlates of consciousness, these findings increasingly indicate that ...
Francis G. Smith
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The distance between feature subspaces of kernel canonical correlation analysis
Mathematical and Computer Modelling, 2013 Abstract Kernel canonical correlation analysis (CCA) is a nonlinear extension of CCA. It is widely used in information retrieval. However, relatively little research concerning the convergence rate and the distance between two feature spaces has been done so far.
Jia Cai
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Shift invariant subspaces, factorization, and interpolation for matrices. I. the canonical case
Linear Algebra and Its Applications, 1986 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joseph Ball
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Canonical models for invariant subspaces [PDF]
Pacific Journal of Mathematics, 1980 exaly +4 more sources