Results 41 to 50 of about 1,406,601 (220)
Coupled Canonical Polyadic Decompositions and Multiple Shift Invariance in Array Processing
IEEE Transactions on Signal Processing, 2018 The canonical polyadic decomposition (CPD) plays an important role for signal separation in array processing. The CPD model requires arrays composed of several displaced but identical subarrays. Consequently, it is less appropriate for more complex array
Mikael Sørensen +2 more
semanticscholar +1 more source
Cluster algebras and the subalgebra constructibility of the seven-particle remainder function
Journal of High Energy Physics, 2019 We review various aspects of cluster algebras and the ways in which they appear in the study of loop-level amplitudes in planar N = 4 $$ \mathcal{N}=4 $$ supersymmetric Yang-Mills theory.
John Golden, Andrew J. McLeod
doaj +1 more source
Randomized Alternating Least Squares for Canonical Tensor Decompositions: Application to A PDE With Random Data [PDF]
SIAM Journal on Scientific Computing, 2015 This paper introduces a randomized variation of the alternating least squares (ALS) algorithm for rank reduction of canonical tensor formats. The aim is to address the potential numerical ill-conditioning of least squares matrices at each ALS iteration ...
Matthew J. Reynolds +2 more
semanticscholar +1 more source
Physical Review Research, 2022 We present several inequalities related to the Robertson-Schrödinger uncertainty relation. In all these inequalities, we consider a decomposition of the density matrix into a mixture of states, and use the fact that the Robertson-Schrödinger uncertainty ...
Géza Tóth, Florian Fröwis
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Canonical graph decompositions via coverings
, 2022 To appear in TAMS. This is the final journal version of this paper.
Diestel, Reinhard +3 more
openaire +2 more sources
Современные информационные технологии и IT-образованиеCanonical expansion (CE) of stochastic processes (StP) are widely used in applied mathematics, informatics and control. Based on wavelet computing technologies, the authors developed the theory of wavelet canonical decompositions (WCDE), as well as the ...
Igor Sinitsyn +3 more
doaj +1 more source
New Journal of Physics, 2019 In this paper, we provide a consistent framework to address the notorious difficult decomposition of the single-photon total angular momentum (TAM) into a spin (SAM) and an orbital (OAM) component.
M Motta, G Guarnieri, L Lanz, B Hiesmayr
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On the Structure of SO(3): Trace and Canonical Decompositions
MathematicsThis paper is devoted to some selected topics of the theory of special orthogonal group SO(3). First, we discuss the trace of orthogonal matrices and its relation to the characteristic polynomial; on this basis, the partition of SO(3) formed by ...
Demeter Krupka, Ján Brajerčík
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Privacy-preserving machine learning with tensor networks [PDF]
QuantumTensor networks, widely used for providing efficient representations of low-energy states of local quantum many-body systems, have been recently proposed as machine learning architectures which could present advantages with respect to traditional ones ...
Alejandro Pozas-Kerstjens +6 more
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Upper bounds on absorption and scattering
New Journal of Physics, 2020 A general framework for determining fundamental bounds in nanophotonics is introduced in this paper. The theory is based on convex optimization of dual problems constructed from operators generated by electromagnetic integral equations.
Mats Gustafsson +3 more
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