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Aggregation equations with gradient potential as Radon measure and initial data in Besov-Morrey spaces
(Wiley-Blackwell, 2020-06-01)
In this work, we present conditions to obtain a global-in-time existence of solutions to a class of nonlinear viscous transport equations describing aggregation phenomena in biology with sufficiently small initial data in ...
An efficient algorithm for approximated self-similarity joins in metric spaces
(Elsevier, 2020)
Similarity join is a key operation in metric databases. It retrieves all pairs of elements that are similar. Solving such a problem usually requires comparing every pair of objects of the datasets, even when indexing and ...
Some dynamical properties of a classical dissipative bouncing ball model with two nonlinearities
(2013-04-15)
Some dynamical properties for a bouncing ball model are studied. We show that when dissipation is introduced the structure of the phase space is changed and attractors appear. Increasing the amount of dissipation, the edges ...
On the Navier-Stokes equations in the half-space with initial and boundary rough data in Morrey spaces
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2013)
Time-weighted Estimates In Lorentz Spaces And Self-similarity For Wave Equations With Singular Potentials
(Mathematical Sciences Publishers, 2017)
Improving the space cost of k-NN search in metric spaces by using distance estimators
(2009)
Similarity searching in metric spaces has a vast number of applications in
several fields like multimedia databases, text retrieval, computational biology, and
pattern recognition. In this context, one of the most important ...
Existence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equation
(Elsevier B.V., 2015-12-01)
This paper considers a semilinear integro-differential equation of Volterra type which interpolates semilinear heat and wave equations. Global existence of solutions is showed in spaces of Besov type based in Morrey spaces, ...
Unilateral Jaccard similarity coefficient
(CEUR-WS, 2015)
Similarity measures are essential to solve many pattern recognition problems such as classification, clustering, and retrieval problems. Various similarity measures are categorized in both syntactic and semantic relationships. ...
Um novo espaço de similaridade projetado para o aprendizado supervisionado de métricas profundas
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE CIÊNCIA DA COMPUTAÇÃOPrograma de Pós-Graduação em Ciência da ComputaçãoUFMG, 2021-03-05)
We propose a novel deep metric learning method. Differently from many works in this area, we defined a novel latent space obtained through an autoencoder. The new space, namely S-space, is divided into different regions ...
Self-Similarity of Space Filling Curves
(Universidad del ValleFacultad de IngenieríaIngeniería TelemáticaDepartamento Tecnologías De Información y Comunicaciones Tic, 2016-07-01)
We define exact self-similarity of Space Filling Curves on the plane. For that purpose, we adapt the general definition of exact self-similarity on sets, a typical property of fractals, to the specific characteristics of ...