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Well-rounded lattices via polynomials with real roots
(2020-01-01)
Well-rounded lattices have been a topic of recent studies with applications in wiretap channels and in cryptography. A lattice of full rank in Euclidean space is called well-rounded if its set of minimal vectors spans the ...
Corpos não-euclideanos com posto um
(Universidade Federal de PernambucoUFPEBrasilPrograma de Pos Graduacao em Matematica, 2018)
Informational content of cosine and other similarities calculated from high-dimensional Conceptual Property Norm data.
To study concepts that are coded in language, researchers often collect lists of conceptual properties produced by human subjects. From these data, diferent measures can be computed. In particular, inter-concept similarity ...
Treinamento multiobjetivo de perceptron de múltiplas camadas comrepresentação esférica de pesos
(Universidade Federal de Minas GeraisUFMG, 2017-02-17)
This work presents a novel representation of artificial neural networks(ANN) multiobjective learning in which the weights are described basedon the Euclidean norm, which is taken as a measure of model complexity. Weights ...
A homotopy along p for systems with a vector p-Laplace operator.
(2003)
We extend to the vector p−Laplace operator (ϕp(u′))′=(|u′|p−2u′)′, p>1, (|⋅| denotes the Euclidean norm in RN) a method that uses a suitable homotopy along p to evaluate at the level p=2 a Leray-Schauder degree for an ...
Singular Value Decomposition and Ligand Binding Analysis
(Hindawi Publishing Corporation, 2013-01-01)
Singular values decomposition (SVD) is one of the most important computations in linear algebra because of its vast application for data analysis. It is particularly useful for resolving problems involving least-squares ...
Superfícies com curvatura média constante na direção de um campo normal unitário em um espaço de Randers
(2010-10-05)
Consideramos uma métrica de Finsler do tipo Randers Fb = (alfa) + (beta), onde (alfa) é a métrica euclidiana e (beta) uma 1-forma com coeficientes constantes e norma b, 0 < b < 1, sobre um espaço vetorial real tridimensional ...