Results 111 to 120 of about 6,682,316 (219)

A Framework for Coxeter Spectral Classification of Finite Posets and Their Mesh Geometries of Roots

International Journal of Mathematics and Mathematical Sciences, 2013
Following our paper [Linear Algebra Appl. 433(2010), 699–717], we present a framework and computational tools for the Coxeter spectral classification of finite posets J≡(J,⪯).
Daniel Simson, Katarzyna Zając
doaj   +1 more source

Transformation of non positive semidefinite correlation matrices

, 1993
In multivariate statistics, estimation of the covariance or correlation matrix is of crucial importance. Computational and other arguments often lead to the use of coordinate-depen dent estimators, yielding matrices that are symmetric but not positive ...
Rousseeuw, Peter J., Rousseeuw, Peter, Molenberghs, Geert   +2 more
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Jacobi–Sobolev Orthogonal Polynomials, Differential Properties and Structural Formulas

Axioms
In this paper, we extend some differential and structural results for monic Jacobi–Sobolev orthogonal polynomials, associated with a general discrete Sobolev inner product, with a Jacobi continuous part. We consider finitely many exterior mass points and
Héctor Pijeira-Cabrera, Javier Quintero-Roba, Juan Toribio-Milane   +2 more
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Learning the kernel matrix with semidefinite programming [PDF]

, 2004
Kernel-based learning algorithms work by embedding the data into a Euclidean space, and then searching for linear relations among the embedded data points.
Nello Cristianini, Bernhard Schölkopf, Peter Bartlett, Bartlett, P. L., Lanckriet, G, Laurent El Ghaoui, Lanckriet, G. R. G., Cristianini, N, Jordan, MI, Jordan, M. I., Cristianini, N., Michael I. Jordan, El Ghaoui, L, Bartlett, P, Gert R. G. Lanckriet, Gert Lanckriet, El Ghaoui, L.   +16 more
core  

Gaussian mixtures closest to a given measure via optimal transport

Comptes Rendus. Mathématique
Given a determinate (multivariate) probability measure $\mu $, we characterize Gaussian mixtures $\nu _\phi $ which minimize the Wasserstein distance $W_2(\mu ,\nu _\phi )$ to $\mu $ when the mixing probability measure $\phi $ on the parameters $(\mathbf{
Lasserre, Jean B.
doaj   +1 more source

Matrix convex functions with applications to weighted centers for semidefinite programming [PDF]

In this paper, we develop various calculus rules for general smooth matrix-valued functions and for the class of matrix convex (or concave) functions first introduced by Loewner and Kraus in 1930s.
Zhang, S., Luo, Z-Q., Brinkhuis, J.
core  

Semidefinite Programming Approaches to Hankel Matrix Approximation and Completion via Primal–Dual Interior-Point Methods

Journal of Mathematics
Data completion techniques offer numerous advantages in various fields. However, completing large datasets that must satisfy specific criteria can be challenging, necessitating the use of approximative completion methods.
Hajar A. Alshaikh, Mohammed M. Alshahrani, Suliman S. Al-Homidan   +2 more
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Lag output synchronization for multiple output coupled complex networks with positive semidefinite or positive definite output matrix

This paper investigates the lag output synchronization of a multiple output coupled complex network, in which the output matrix is positive semidefinite or positive definite. By selecting an appropriate output feedback controller and Lyapunov functional,
Zhao, LH, Zhang, Y, Wang, JL
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Rank-one solutions for homogeneous linear matrix equations over the positive semidefinite cone

, 2013
The problem of finding a rank-one solution to a system of linear matrix equations arises from many practical applications. Given a system of linear matrix equations, however, such a low-rank solution does not always exist.
Zhao, Yun-Bin, Fukushima, Masao
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Coherence Matrix Power Model for Scattering Variation Representation in Multi-Temporal PolSAR Crop Classification

IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing
The multitemporal polarimetric SAR (PolSAR) data contains the scattering change information during the growth of crops. However, the current classification methods usually directly use the addition of features extracted at single-temporal or use the ...
Qiang Yin, Li Gao, Yongsheng Zhou, Yang Li, Fan Zhang, Carlos Lopez-Martinez, Wen Hong   +6 more
doaj   +1 more source