Results 31 to 40 of about 1,406,601 (220)
Symmetry orbits and their data-analytic properties
Revista de Matemática: Teoría y Aplicaciones, 2013 The concept of data indexed by finite symmetry orbits is reviewed within the data-analytic framework of symmetry studies. Data decompositions are discussed in terms of canonical projections and Plancherel’s formulas, and interpreted in terms of orbit ...
Marlos A.G. Viana
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ETRI Journal, 2023 In this study, the problem of blind signal separation for coprime planar arrays is investigated. For coprime planar arrays comprising two uniform rectangular subarrays, we link the signal separation to the tensor-based model called coupled canonical ...
Zhongyuan Que +2 more
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Regular neighbourhoods and canonical decompositions for groups [PDF]
Astérisque, 2002 We find canonical decompositions for finitely presented groups which essentially specialise to the classical JSJ-decomposition when restricted to the fundamental groups of Haken manifolds. The decompositions that we obtain are invariant under automorphisms of the group.
Scott, Peter, Swarup, Gadde A.
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Covid-19 pandemic data analysis using tensor methods [PDF]
Computational Algorithms and Numerical DimensionsIn this paper, we use tensor models to analyze the Covid-19 pandemic data. First, we use tensor models, canonical polyadic, and higher-order Tucker decompositions to extract patterns over multiple modes. Second, we implement a tensor completion algorithm
Dipak Dulal +2 more
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New gravitational solutions via a Riemann-Hilbert approach
Journal of High Energy Physics, 2018 We consider the Riemann-Hilbert factorization approach to solving the field equations of dimensionally reduced gravity theories. First we prove that functions belonging to a certain class possess a canonical factorization due to properties of the ...
G. L. Cardoso, J. C. Serra
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Frontiers in Neuroscience, 2023 The analysis of functional near-infrared spectroscopy (fNIRS) signals has not kept pace with the increased use of fNIRS in the behavioral and brain sciences.
Jasmine Y. Chan +4 more
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Canonical decompositions of n-qubit quantum computations and concurrence [PDF]
, 2003 The two-qubit canonical decomposition SU(4)=[SU(2)⊗SU(2)]Δ[SU(2)⊗SU(2)] writes any two-qubit unitary operator as a composition of a local unitary, a relative phasing of Bell states, and a second local unitary. Using Lie theory, we generalize this to an n-
S. Bullock, G. Brennen
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Journal of Statistical Software, 2018 rTensor is an R package designed to provide a common set of operations and decompositions for multidimensional arrays (tensors). We provide an S4 class that wraps around the base 'array' class and overloads familiar operations to users of 'array', and we
James Li, Jacob Bien, Martin T. Wells
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Canonical Polyadic Decomposition based on joint eigenvalue decomposition [PDF]
Chemometrics and Intelligent Laboratory Systems, 2014 A direct algorithm based on Joint EigenValue Decomposition (JEVD) has been proposed to compute the Canonical Polyadic Decomposition (CPD) of multi-way arrays (tensors). The iterative part of our method is thus limited to the JEVD computation. At this occasion we also propose an original JEVD technique.
Luciani, Xavier, Albera, Laurent
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Accelerated Canonical Polyadic Decomposition Using Mode Reduction [PDF]
IEEE Transactions on Neural Networks and Learning Systems, 2013 Canonical Polyadic (or CANDECOMP/PARAFAC, CP) decompositions (CPD) are widely applied to analyze high order tensors. Existing CPD methods use alternating least square (ALS) iterations and hence need to unfold tensors to each of the $N$ modes frequently, which is one major bottleneck of efficiency for large-scale data and especially when $N$ is large ...
Zhou, Guoxu +2 more
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