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On the rank and the approximation of symmetric tensors
(Elsevier Science Inc., 2021-11)
In this work we study different notions of ranks and approximation of tensors. We consider the tensor rank, the nuclear rank and we introduce the notion of symmetric decomposable rank, a notion of rank defined only on ...
Um estudo sobre tensores de segunda ordem
(Universidade Estadual Paulista (Unesp), 2018-12-18)
O objetivo dessa dissertação é apresentar algumas observações sobre os tensores de segunda ordem, da forma como são vistos nas engenharias, usando conceitos de Álgebra Linear. Trata-se de um estudo introdutório, que pretende ...
The symmetric tensor product of a direct sum of locally convex spaces
(Polish Acad Sciences Inst MathematicsWarsawPolónia, 1998)
Natural symmetric tensor norms
(Elsevier Inc, 2012-03)
In the spirit of the work of Grothendieck, we introduce and study natural symmetric n-fold tensor norms. These are norms obtained from the projective norm by some natural operations. We prove that there are exactly six ...
Tensores naturales sobre variedades y fibracionesNatural tensor fields on manifolds and fibrations
(Facultad de Ciencias Exactas y Naturales. Universidad de Buenos Aires, 2009)
On the robustness of EEG tensor completion methods
(Springer Verlag Berlín, 2021-04)
During the acquisition of electroencephalographic (EEG) signals, data may be missing or corrupted by noise and artifacts. To reconstruct the incomplete data, EEG signals are firstly converted into a three-order tensor ...