Results 31 to 40 of about 651,065 (329)
Parallelizable Algorithms for Optimization Problems with Orthogonality Constraints [PDF]
SIAM Journal on Scientific Computing, 2018 To construct a parallel approach for solving optimization problems with orthogonality constraints is usually regarded as an extremely difficult mission, due to the low scalability of the orthonormalization procedure.
Bin Gao, Xin Liu, Ya-Xiang Yuan
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A New Approximate Birkhoff Orthogonality Type
European Journal of Mathematical Analysis, 2022 In this note, we introduce a new approximate Birkhoff orthogonality type and give a characterization for inner product spaces using the approximate orthogonality.
Chuanjiang Zhou, Qi Liu, Yongjin Li
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Quench Dynamics and Orthogonality Catastrophe of Bose Polarons. [PDF]
Physical Review Letters, 2018 We monitor the correlated quench induced dynamical dressing of a spinor impurity repulsively interacting with a Bose-Einstein condensate. Inspecting the temporal evolution of the structure factor, three distinct dynamical regions arise upon increasing ...
S. Mistakidis +4 more
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Deciding Orthogonality in Construction-A Lattices [PDF]
, 2015 Lattices are discrete mathematical objects with widespread applications to integer programs as well as modern cryptography. A fundamental problem in both domains is the Closest Vector Problem (popularly known as CVP).
Chandrasekaran, Karthekeyan +2 more
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Geometric Measure of Indistinguishability for Groups of Identical Particles [PDF]
, 2007 The concept of p-orthogonality (1=< p =< n) between n-particle states is introduced. It generalizes common orthogonality, which is equivalent to n-orthogonality, and strong orthogonality between fermionic states, which is equivalent to 1-orthogonality ...
A. J. Coleman +15 more
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Species Orthogonalization [PDF]
Journal of Theoretical Biology, 2001 We discuss general formation of complementary behaviors, functions and forms in biological species competing for resources. We call orthogonalization the related processes on macro and micro-level of a self-organized formation of correlations in the species properties.
openaire +3 more sources
An orthogonality relation for $\mathrm {GL}(4, \mathbb R) $ (with an appendix by Bingrong Huang)
Forum of Mathematics, Sigma, 2021 Orthogonality is a fundamental theme in representation theory and Fourier analysis. An orthogonality relation for characters of finite abelian groups (now recognized as an orthogonality relation on $\mathrm {GL}(1)$) was used by Dirichlet to prove ...
Dorian Goldfeld +2 more
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Orthogonality catastrophe and Kondo effect in graphene [PDF]
, 2007 Anderson's orthogonality catastrophe in graphene, at energies close to the Dirac point, is analyzed. It is shown that, in clean systems, the orthogonality catastrophe is suppressed, due to the vanishing density of states at the Dirac point.
Francisco Guinea +4 more
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Orthogonal Features Extraction Method and Its Application in Convolution Neural Network
Shanghai Jiaotong Daxue xuebao, 2021 In view of feature redundancy in the convolutional neural network, the concept of orthogonal vectors is introduced into features. Then, a method for orthogonal features extraction of convolutional neural network is proposed from the perspective of ...
LI Chen, LI Jianxun
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Linear orthogonality preservers of Hilbert bundles [PDF]
, 2010 Due to the corresponding fact concerning Hilbert spaces, it is natural to ask if the linearity and the orthogonality structure of a Hilbert $C^*$-module determine its $C^*$-algebra-valued inner product.
Leung, Chi-Wai +2 more
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