Results 71 to 80 of about 59,171 (165)
Nonlocal quantum field theory predicts a finite phase‐space resolution, so even highly squeezed quantum states cannot be localized beyond a fundamental nonlocal limit, providing a potential experimental signature of nonlocality. ABSTRACT In a previous paper we derived an uncertainty relation for nonlocal fields by showing that the physical localization
E. J. Thompson
wiley +1 more source
Z-Eigenvalue inclusion theorems for tensors [PDF]
In this paper, we establish Z-eigenvalue inclusion theorems for general tensors, which reveal some crucial differences between Z-eigenvalues and H-eigenvalues.
Guanglu Zhou (18515964) +2 more
core +2 more sources
Dehomogenization for Completely Positive Tensors
A real symmetric tensor is completely positive (CP) if it is a sum of symmetric tensor powers of nonnegative vectors. We propose a dehomogenization approach for studying CP tensors. This gives new Moment-SOS relaxations for CP tensors.
Tang, Xindong +3 more
core
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
The Fractal Characteristics of Rough‐Fractured Rock Masses Based on THM Multi‐Field Coupling
This study constructs an intelligent Thermo‐Hydro‐Mechanical (THM) multi‐field coupling model for rough fractured rock masses. The innovation of the intelligent THM model lies in the integration of deep reinforcement learning and the adaptive fractal grid method.
Xiaolin Wu +3 more
wiley +1 more source
Researcher–Entrepreneur Relationship and Performance of Innovative Startups
ABSTRACT Many innovative startups are joint ventures between researchers and entrepreneurs, who collaborate in R&D and product commercialization. Government policies such as grants, subsidies, and patent licensing fees act as Pigouvian subsidies, incentivizing R&D by bridging the gap between the social and private returns of innovation.
Yangguang Huang, Helen Hui
wiley +1 more source
26 pagesWe show that the spectral radius of nonnegative tensors can be approximated within $\varepsilon$ error in polynomial time. This implies that the maximum of a nonnegative homogeneous $d$-form in the unit ball with respect to $d$-H\"older norm can ...
Gaubert, Stéphane, Friedland, Shmuel
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ABSTRACT This study contributes to the literature on global inequality in scientific knowledge production by examining how author‐country concentration varies with journals' positions in the academic publishing hierarchy. Using a longitudinal dataset of sociology journals from the Web of Science and Journal Citation Reports covering 1997–2022, we ...
Fan Zhang +3 more
wiley +1 more source
Theory and computation of complex tensors and its applications
The book provides an introduction of very recent results about the tensors and mainly focuses on the authors' work and perspective. A systematic description about how to extend the numerical linear algebra to the numerical multi-linear algebra is also ...
Che, Maolin, Wei, Yimin
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Analysis of Eigenvalue Clustering Leads to Optimal Scaling in Numerical Radiative Transfer
ABSTRACT We consider a multidimensional polychromatic radiative transfer (RT) problem, accounting for scattering processes in a general form, that is, anisotropic (dipole) scattering with partial frequency redistribution. Given a discrete ordinates (SN$$ {S}_N $$) discretization, we report the corresponding matrix structures, depending on the model and
Pietro Benedusi +3 more
wiley +1 more source

