Results 11 to 20 of about 249,242 (319)
On the Compressibility of Tensors [PDF]
SIAM Journal on Matrix Analysis and Applications, 2021 Tensors are often compressed by expressing them in low rank tensor formats. In this paper, we develop three methodologies that bound the compressibility of a tensor: (1) Algebraic structure, (2) Smoothness, and (3) Displacement structure. For each methodology, we derive bounds on storage costs that partially explain the abundance of compressible ...
Tianyi Shi, Alex Townsend
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“That Day Does Not Belong to Our Generation”: Komatsu Sakyō’s Affective Futurities
Literature, 2023 Commentary that observes the frequency of the appearances of images of disaster pervades much of the discourse surrounding postwar Japanese popular culture, and especially Japanese science fiction.
Baryon Tensor Posadas
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Set Stability and Set Stabilization of Boolean Control Networks Avoiding Undesirable Set
Mathematics, 2021 The traditional set stability of Boolean networks (BNs) refers to whether all the states can converge to a given state subset. Different from the existing results, the set stability investigated in this paper is whether all states in a given initial set ...
Wen Liu, Shihua Fu, Jianli Zhao
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Foundations and Trends® in Machine Learning, 2021 The presence of multidirectional correlations in emerging multidimensional data poses a challenge to traditional regression modeling methods. Traditional modeling methods based on matrix or vector, for example, not only overlook the data’s multidimensional information and lower model performance, but also add additional computations and storage ...
Jiani Liu 0002 +3 more
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Tensor surgery and tensor rank [PDF]
computational complexity, 2018 (accepted for publication in Comm. Complexity)
M. Christandl (Matthias) +1 more
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Robust Output Tracking of Boolean Control Networks over Finite Time
Mathematics, 2022 With an increase in tracking time, the operating cost of the controller will increase accordingly. Considering the biological applications of Boolean control networks (BCNs), it is necessary to study the control problem of BCNs over finite time.
Yuan Zhao +3 more
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Symmetric Tensors and Symmetric Tensor Rank [PDF]
SIAM Journal on Matrix Analysis and Applications, 2008 To appear in the SIAM Journal on Matrix Analysis and ...
Comon, Pierre +3 more
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The effect of magnetic field concentration in anisotropic metamagnetic media
Технічна інженерія, 2022 The peculiarities of magnetic field propagation in a rectangular plate made of anisotropic material by the coefficient of magnetic permeability are considered.
А.А. , M.Ya. , D.O.
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Tensor-on-Tensor Regression [PDF]
Journal of Computational and Graphical Statistics, 2018 We propose a framework for the linear prediction of a multi-way array (i.e., a tensor) from another multi-way array of arbitrary dimension, using the contracted tensor product. This framework generalizes several existing approaches, including methods to predict a scalar outcome from a tensor, a matrix from a matrix, or a tensor from a scalar.
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Varying Coefficient Tensor Models for Brain Imaging [PDF]
, 2005 We revisit a multidimensional varying-coefficient model (VCM), by allowing regressor coefficients to vary smoothly in more than one dimension, thereby extending the VCM of Hastie and Tibshirani.
Marx, Brian D. +2 more
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