Fall Detection of Elderly People Using the Manifold of Positive Semidefinite Matrices. [PDF]
J Imaging, 2021 Falls are one of the most critical health care risks for elderly people, being, in some adverse circumstances, an indirect cause of death. Furthermore, demographic forecasts for the future show a growing elderly population worldwide.
Youssfi Alaoui A +5 more
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Affine processes on positive semidefinite matrices [PDF]
SSRN Electronic Journal, 2011 This article provides the mathematical foundation for stochastically continuous affine processes on the cone of positive semidefinite symmetric matrices.
Cuchiero, Christa +3 more
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Trace inequalities for positive semidefinite matrices
Discussiones Mathematicae - General Algebra and Applications, 2017 Certain trace inequalities for positive definite matrices are generalized for positive semidefinite matrices using the notion of the group generalized inverse.
Projesh Nath Choudhury, K. Sivakumar
semanticscholar +3 more sources
A quantum-inspired algorithm for estimating the permanent of positive semidefinite matrices [PDF]
, 2017 We construct a quantum-inspired classical algorithm for computing the permanent of Hermitian positive semidefinite matrices, by exploiting a connection between these mathematical structures and the boson sampling model.
Cerf, N. J. +2 more
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Sparse Sums of Positive Semidefinite Matrices [PDF]
ACM Transactions on Algorithms, 2015 Many fast graph algorithms begin by preprocessing the graph to improve its sparsity. A common form of this is spectral sparsification, which involves removing and reweighting the edges of the graph while approximately preserving its spectral properties. This task has a more general linear algebraic formulation in terms of approximating sums of rank-one
Marcel K. De Carli Silva +2 more
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Generalized numerical radius inequalities involving positive semidefinite block matrices [PDF]
Journal of Mathematical Inequalities, 2023 . In this paper, we are interested in generalized numerical radius inequalities for the off-diagonal part of a positive semide fi nite block matrix.
Baha'a Al Naddaf +2 more
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Maximizing products of linear forms, and the permanent of positive semidefinite matrices [PDF]
Mathematical programming, 2021 We study the convex relaxation of a polynomial optimization problem, maximizing a product of linear forms over the complex sphere. We show that this convex program is also a relaxation of the permanent of Hermitian positive semidefinite (HPSD) matrices ...
Chenyang Yuan, Pablo A. Parrilo
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Singular Value and Matrix Norm Inequalities between Positive Semidefinite Matrices and Their Blocks [PDF]
Journal of MathematicsIn this paper, we obtain some inequalities involving positive semidefinite 2×2 block matrices and their blocks.
Feng Zhang +3 more
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Simply Exponential Approximation of the Permanent of Positive Semidefinite Matrices [PDF]
IEEE Annual Symposium on Foundations of Computer Science, 2017 We design a deterministic polynomial time $c^n$ approximation algorithm for the permanent of positive semidefinite matrices where $c=e^{\gamma+1}\simeq 4.84$.
Anari, Nima +3 more
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Monte Carlo estimators for the Schatten p-norm of symmetric positive semidefinite matrices [PDF]
Electronic Transactions on Numerical Analysis, 2021 We present numerical methods for computing the Schatten $p$-norm of positive semi-definite matrices. Our motivation stems from uncertainty quantification and optimal experimental design for inverse problems, where the Schatten $p$-norm defines a design ...
Ethan Dudley +2 more
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