Fall Detection of Elderly People Using the Manifold of Positive Semidefinite Matrices [PDF]
Journal of 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.
Abdessamad Youssfi Alaoui +5 more
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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.
Levon Chakhmakhchyan +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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Affine processes on positive semidefinite matrices [PDF]
, 2011 This article provides the mathematical foundation for stochastically continuous affine processes on the cone of positive semidefinite symmetric matrices.
Christa Cuchiero +3 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 cn approximation algorithm for the permanent of positive semidefinite matrices where c = e+1 ⋍ 4:84. We write a natural convex relaxation and show that its optimum solution gives a cn approximation of the ...
Nima Anari +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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SIAM Journal on Matrix Analysis and Applications, 2020 This paper explores the well-known identification of the manifold of rank $p$ positive-semidefinite matrices of size $n$ with the quotient of the set of full-rank $n$-by-$p$ matrices by the orthogo...
Estelle Massart, Pierre-Antoine Absil
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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.
Choudhury Projesh Nath, Sivakumar K.C.
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