Results 1 to 10 of about 3,114 (45)
Tensor Decompositions for Signal Processing Applications From Two-way to Multiway Component Analysis [PDF]
, 2014 The widespread use of multi-sensor technology and the emergence of big datasets has highlighted the limitations of standard flat-view matrix models and the necessity to move towards more versatile data analysis tools. We show that higher-order tensors (i.
Caiafa, C. +6 more
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A literature survey of low-rank tensor approximation techniques [PDF]
, 2013 During the last years, low-rank tensor approximation has been established as a new tool in scientific computing to address large-scale linear and multilinear algebra problems, which would be intractable by classical techniques.
Grasedyck, Lars +2 more
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On the Strong Homotopy Associative Algebra of a Foliation
, 2014 An involutive distribution $C$ on a smooth manifold $M$ is a Lie-algebroid acting on sections of the normal bundle $TM/C$. It is known that the Chevalley-Eilenberg complex associated to this representation of $C$ possesses the structure $\mathbb{X}$ of a
Vitagliano, Luca
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Representations of Homotopy Lie-Rinehart Algebras
, 2014 I propose a definition of left/right connection along a strong homotopy Lie-Rinehart algebra. This allows me to generalize simultaneously representations up to homotopy of Lie algebroids and actions of strong homotopy Lie algebras on graded manifolds.
Vitagliano, Luca
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Whitney algebras and Grassmann's regressive products
, 2010 Geometric products on tensor powers $\Lambda(V)^{\otimes m}$ of an exterior algebra and on Whitney algebras \cite{crasch} provide a rigorous version of Grassmann's {\it regressive products} of 1844 \cite{gra1}.
Brini, Andrea, Regonati, Francesco
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Currents on Grassmann algebras
, 1993 We define currents on a Grassmann algebra $Gr(N)$ with $N$ generators as distributions on its exterior algebra (using the symmetric wedge product). We interpret the currents in terms of ${\Z}_2$-graded Hochschild cohomology and closed currents in terms ...
Berezin +10 more
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On the Strong Homotopy Lie-Rinehart Algebra of a Foliation
, 2013 It is well known that a foliation F of a smooth manifold M gives rise to a rich cohomological theory, its characteristic (i.e., leafwise) cohomology.
Bocharov A. V. +3 more
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Differential Calculus on Graphon Space [PDF]
, 2015 Recently, the theory of dense graph limits has received attention from multiple disciplines including graph theory, computer science, statistical physics, probability, statistics, and group theory.
Diao, Peter +3 more
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Multilinear Time Invariant System Theory
, 2019 In biological and engineering systems, structure, function and dynamics are highly coupled. Such interactions can be naturally and compactly captured via tensor based state space dynamic representations.
Bloch, Anthony +3 more
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Schur and operator multipliers
, 2009 Schur multipliers were introduced by Schur in the early 20th century and have since then found a considerable number of applications in Analysis and enjoyed an intensive development.
Todorov, I. G., Turowska, L.
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