Results 51 to 60 of about 294,893 (309)
On the Dovbysh-Sudakov representation result [PDF]
, 2009 We present a detailed proof of the Dovbysh-Sudakov representation for symmetric positive definite weakly exchangeable infinite random arrays, called Gram-de Finetti matrices, which is based on the representation result of Aldous and Hoover for arbitrary (
Panchenko, Dmitry
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Emotion Recognition by Body Movement Representation on the Manifold of Symmetric Positive Definite Matrices [PDF]
International Conference on Image Analysis and Processing, 2017 Emotion recognition is attracting great interest for its potential application in a multitude of real-life situations. Much of the Computer Vision research in this field has focused on relating emotions to facial expressions, with investigations rarely ...
M. Daoudi +4 more
semanticscholar +1 more source
On the cardinality of complex matrix scalings
Special Matrices, 2016 We disprove a conjecture made by Rajesh Pereira and Joanna Boneng regarding the upper bound on the number of doubly quasi-stochastic scalings of an n × n positive definite matrix.
Hutchinson George
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A sparse decomposition of low rank symmetric positive semi-definite matrices [PDF]
, 2016 Suppose that $A \in \mathbb{R}^{N \times N}$ is symmetric positive semidefinite with rank $K \le N$. Our goal is to decompose $A$ into $K$ rank-one matrices $\sum_{k=1}^K g_k g_k^T$ where the modes $\{g_{k}\}_{k=1}^K$ are required to be as sparse as ...
Hou, Thomas Y. +2 more
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The Preconditioned SOR Iterative Method for Positive Definite Matrices
Journal of Applied Mathematics, 2013 We present several iterations for preconditioners introduced by Tarazaga and Cuellar (2009), and study the convergence of the method for solving a linear system whose coefficient matrix is positive definite matrices, and we also find that they complete ...
Yu-Qin Bai, Yan-Ping Xiao, Wei-Yuan Ma
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Some trace inequalities for matrix means
Journal of Inequalities and Applications, 2016 In this short note, we present some trace inequalities for matrix means. Our results are generalizations of the ones shown by Bhatia, Lim, and Yamazaki.
Limin Zou, Yang Peng
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Determinantal inequalities of Hua-Marcus-Zhang type for quaternion matrices
Open Mathematics, 2021 In this paper, the authors extend determinantal inequalities of the Hua-Marcus-Zhang type for positive definite matrices to the corresponding ones for quaternion matrices.
Hong Yan, Qi Feng
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Intrinsic Wavelet Regression for Curves of Hermitian Positive Definite Matrices [PDF]
Journal of the American Statistical Association, 2017 Intrinsic wavelet transforms and wavelet estimation methods are introduced for curves in the non-Euclidean space of Hermitian positive definite matrices, with in mind the application to Fourier spectral estimation of multivariate stationary time series ...
Joris Chau, R. von Sachs
semanticscholar +1 more source
Entropy, 2014 Information geometry studies the dually flat structure of a manifold, highlighted by the generalized Pythagorean theorem. The present paper studies a class of Bregman divergences called the (ρ,τ)-divergence.
Shun-ichi Amari
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Measuring Sphericity in Positive Semi-Definite Matrices
AxiomsThe measure of sphericity for positive semi-definite matrices plays a crucial role in understanding their geometric properties, especially in high-dimensional settings.
Dário Ferreira, Sandra S. Ferreira
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