Results 111 to 120 of about 71,699 (272)
Markov Determinantal Point Process for Dynamic Random Sets
Journal of Time Series Analysis, EarlyView.ABSTRACT The Law of Determinantal Point Process (LDPP) is a flexible parametric family of distributions over random sets defined on a finite state space, or equivalently over multivariate binary variables. The aim of this paper is to introduce Markov processes of random sets within the LDPP framework. We show that, when the pairwise distribution of two
Christian Gouriéroux, Yang Lu
wiley +1 more source
Log-Determinant Divergences Revisited: Alpha-Beta and Gamma Log-Det Divergences
Entropy, 2015 This work reviews and extends a family of log-determinant (log-det) divergences for symmetric positive definite (SPD) matrices and discusses their fundamental properties.
Andrzej Cichocki +2 more
doaj +1 more source
The random graph process is globally synchronizing
Bulletin of the London Mathematical Society, EarlyView.Abstract The homogeneous Kuramoto model on a graph G=(V,E)$G = (V,E)$ is a network of |V|$|V|$ identical oscillators, one at each vertex, where every oscillator is coupled bidirectionally (with unit strength) to its neighbors in the graph. A graph G$G$ is said to be globally synchronizing if, for almost every initial condition, the homogeneous Kuramoto
Vishesh Jain +2 more
wiley +1 more source
ON THE SET-SEMIDEFINITE REPRESENTATION OF NONCONVEX QUADRATIC PROGRAMS WITH CONE CONSTRAINTS
Croatian Operational Research Review, 2010 The well-known result stating that any non-convex quadratic problem over the non-negative orthant with some additional linear and binary constraints can be rewritten as linear problem over the cone of completely positive matrices (Burer, 2009) is ...
Gabriele Eichfelder, Janez Povh
doaj
A Geometric Mean of Parameterized Arithmetic and Harmonic Means of Convex Functions
Abstract and Applied Analysis, 2012 The notion of the geometric mean of two positive reals is extended by Ando (1978) to the case of positive semidefinite matrices A and B. Moreover, an interesting generalization of the geometric mean A # B of A and B to convex functions was introduced by ...
Sangho Kum, Yongdo Lim
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Refinements of two determinantal inequalities for positive semidefinite matrices [PDF]
, 2022 Hong Yan, Feng Qi
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Plank theorems and their applications: A survey
Bulletin of the London Mathematical Society, EarlyView.Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley +1 more source
Magnetic Resonance in Medicine, Volume 95, Issue 2, Page 1255-1265, February 2026.Abstract Purpose (a) To design a methodology for drawing random samples of any Ensemble Average Propagator (EAP) (b) to modify the KomaMRI simulator to accommodate them as realistic spin movements to simulate diffusion MRI (dMRI) and (c) to compare these simulations with those based on the Diffusion Tensor (DT) model.
Justino R. Rodríguez‐Galván +7 more
wiley +1 more source
REFINEMENTS OF SINGULAR VALUE INEQUALITIES FOR POSITIVE SEMIDEFINITE MATRICES
, 2023 Rong Ma, Feng Zhang
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, 2013 We present a homogeneous space geometry for the manifold of symmetric positive semidefinite matrices of fixed rank. The total space is the general linear group endowed with its natural rightinvariant metric, and the metric on the homogeneous space is ...
Bart Vandereycken +2 more
semanticscholar +1 more source