Results 21 to 30 of about 530,971 (262)
A Novel Block-based Watermarking Scheme Using the SVD Transform
Algorithms, 2009 In this paper, a block-based watermarking scheme based on the Singular Value Decomposition (SVD) is proposed. Our watermark, a pseudo-random Gaussian sequence, is embedded by modifying the angles formed by the right singular vectors of each block of the ...
Alessandro Basso +4 more
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Independent representations of ipsilateral and contralateral limbs in primary motor cortex
eLife, 2019 Several lines of research demonstrate that primary motor cortex (M1) is principally involved in controlling the contralateral side of the body. However, M1 activity has been correlated with both contralateral and ipsilateral limb movements.
Ethan A Heming +4 more
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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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Orthogonality Sampling Method for the Electromagnetic Inverse Scattering Problem [PDF]
SIAM Journal on Scientific Computing, 2019 This paper is concerned with the electromagnetic inverse scattering problem that aims to determine the location and shape of anisotropic scatterers from far field data (at a fixed frequency).
I. Harris, Dinh-Liem Nguyen
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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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Negative $q$-Stirling numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The notion of the negative $q$-binomial was recently introduced by Fu, Reiner, Stanton and Thiem. Mirroring the negative $q$-binomial, we show the classical $q$ -Stirling numbers of the second kind can be expressed as a pair of statistics on a subset of ...
Yue Cai, Margaret Readdy
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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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An exact penalty approach for optimization with nonnegative orthogonality constraints [PDF]
Mathematical programming, 2019 Optimization with nonnegative orthogonality constraints has wide applications in machine learning and data sciences. It is NP-hard due to some combinatorial properties of the constraints.
B. Jiang +3 more
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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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Accelerated Optimization with Orthogonality Constraints [PDF]
Journal of Computational Mathematics, 2019 We develop a generalization of Nesterov's accelerated gradient descent method which is designed to deal with orthogonality constraints. To demonstrate the effectiveness of our method, we perform numerical experiments which demonstrate that the number of ...
Jonathan W. Siegel
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