Prostatism 发表于 2025-3-26 21:01:25
https://doi.org/10.1007/978-3-642-30232-9Audio Signal Processing; Covariance matrix; Differential geometry of structured matrix; Fixed-Point SVDBIAS 发表于 2025-3-27 02:30:05
978-3-642-44847-8Springer-Verlag Berlin Heidelberg 2013Tortuous 发表于 2025-3-27 07:00:08
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Supremum/Infimum and Nonlinear Averaging of Positive Definite Symmetric Matriceshe supremum and infimum associated to the Löwner ellipsoids are computed as the asymptotic cases of nonlinear averaging using the original notion of counter-harmonic mean for PDS matrices. Properties of the three introduced approaches are explored in detail, including also some numerical examples.改变立场 发表于 2025-3-28 03:48:26
Exponential Barycenters of the Canonical Cartan Connection and Invariant Means on Lie Groupse group provides group geodesics which are completely consistent with the composition and inversion. With such a non-metric structure, the mean cannot be defined by minimizing the variance as in Riemannian Manifolds. However, the characterization of the mean as an exponential barycenter gives us an管理员 发表于 2025-3-28 09:46:43
Information Geometry of Covariance Matrix: Cartan-Siegel Homogeneous Bounded Domains, Mostow/Bergerused as natural space to compute “.-.” (. for “mean”, . for “median”) of covariance matrices via Karcher flow derived from Weiszfeld algorithm extension on Cartan-Hadamard manifold. This new mathematical framework will allow development of Ordered Statistic (OS) concept for Hermitian Positive Defin织布机 发表于 2025-3-28 13:27:19
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