On Non-Tensor Product Bivariate Fractal Interpolation Surfaces on Rectangular Grids [PDF]
Some years ago, several authors tried to construct fractal surfaces which pass through a given set of data points. They used bivariable functions on rectangular grids, but the resulting surfaces failed to be continuous.
Vasileios Drakopoulos +1 more
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Ward identities and combinatorics of rainbow tensor models
We discuss the notion of renormalization group (RG) completion of non-Gaussian Lagrangians and its treatment within the framework of Bogoliubov-Zimmermann theory in application to the matrix and tensor models. With the example of the simplest non-trivial
H. Itoyama, A. Mironov, A. Morozov
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An S-type upper bound for the largest singular value of nonnegative rectangular tensors [PDF]
An S-type upper bound for the largest singular value of a nonnegative rectangular tensor is given by breaking N = {1, 2, … n} into disjoint subsets S and its complement. It is shown that the new upper bound is smaller than that provided by Yang and Yang (
Zhao Jianxing, Sang Caili
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Bound for the largest singular value of nonnegative rectangular tensors
In this paper, we give a new bound for the largest singular value of nonnegative rectangular tensors when m = n, which is tighter than the bound provided by Yang and Yang in “Singular values of nonnegative rectangular tensors”, Front. Math.
He Jun +4 more
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Gauge equivariant convolutional neural networks for diffusion MRI [PDF]
Diffusion MRI (dMRI) is an imaging technique widely used in neuroimaging research, where the signal carries directional information of underlying neuronal fibres based on the diffusivity of water molecules.
Uzair Hussain, Ali R. Khan
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Vibration Analysis of Rectangular Kirchhoff Nano-Plate using Modified Couple Stress Theory and Navier Solution Method [PDF]
In this study, the characteristics of rectangular Kirchhoff nano-plate vibrations are investigated using a modified couple stress theory. To consider the effects of small-scale, the modified couple stress theory proposed by Young (2002) is used as it has
Behzad Bayati Chaleshtori +2 more
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The complex rupture evolution of the long and slow, tsunamigenic 2021 South Sandwich Islands earthquake [PDF]
On August 21, 2021, a large earthquake occurred in the South Sandwich subduction zone, and the associated tsunami was widely observed. To robustly analyse the detailed seismic source process of this long-source duration (over 200 s) event occurring in a ...
Ryo Yamaguchi +3 more
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Bending and Vibration Analysis of a Mindlin Rectangular Nanoplate using Modified Couple Stress Theory and Navier's Solution [PDF]
In this paper, a Mindlin rectangular nanoplate model is developed for the bending and vibration analysis of a graphene nanoplate based on a modified couple stress theory.
Majid Eskandari Shahraki +2 more
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Structured Rectangular Tensors and Rectangular Tensor Complementarity Problems [PDF]
In this paper, some properties of structured rectangular tensors are presented, and the relationship among these structured rectangular tensors is also given. It is shown that all the V-singular values of rectangular P-tensors are positive. Some necessary and/or sufficient conditions for a rectangular tensor to be a rectangular P-tensor are also ...
Qingyu Zeng, Jun He, Yanmin Liu
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Structural-Missing Tensor Completion for Robust DOA Estimation with Sensor Failure
Array sensor failure poses a serious challenge to robust direction-of-arrival (DOA) estimation in complicated environments. Although existing matrix completion methods can successfully recover the damaged signals of an impaired sensor array, they cannot ...
Bin Li +4 more
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