Results 111 to 120 of about 23,770 (308)
General Tensor Decomposition, Moment Matrices and Applications
, 2013 SubmittedInternational audienceThe tensor decomposition addressed in this paper may be seen as a generalisation of Singular Value Decomposition of matrices. We consider general multilinear and multihomogeneous tensors.
Mourrain, Bernard +6 more
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Advanced Materials, EarlyView.Ultrathin lithium metal anodes (≤15 µm) offer a promising route to high‐energy‐density batteries due to their high capacity and low potential. This review presents design principles for ultrathin Li, evaluates fabrication strategies, and discusses challenges in liquid and solid‐state cells.
Cheng Wang +9 more
wiley +1 more source
Extracting Meaningful EEG Features Using Constrained Tensor Decomposition
, 2019 Electroencephalography (EEG) is a powerful technique for the study of human brain and cognitive neuroscience. Nowadays, more and more EEG data are organized in high-dimension form, which is called tensor. Tensor decomposition is just the suitable tool to
Wang, Deqing
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Toward Jordan decompositions for tensors
Journal of Computational ScienceWe expand on an idea of Vinberg to take a tensor space and the natural Lie algebra that acts on it and embed their direct sum into an auxiliary algebra. Viewed as endomorphisms of this algebra, we associate adjoint operators to tensors. We show that the group actions on the tensor space and on the adjoint operators are consistent, which means that the ...
Frédéric Holweck, Luke Oeding
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, 2014 We consider representations of tensors as sums of decomposable tensors or, equivalently, decomposition of multilinear forms into one--forms. In this short note we show that there exists a particular finite strongly orthogonal decomposition which is essentially unique and yields all critical points of the multilinear form on the torus.
Peña, Juan Manuel, Sauer, Tomas
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Advanced Materials, EarlyView.Inspired by the octopus and the golden wheel spider, soft robots with liquid crystal elastomer arc fibers as appendages are fabricated to transcend surface constraints through an elevated center of mass and minimal contact footprints. By leveraging curvature‐encoded deformation‐recovery cycles, these robots exhibit contractile, torsional, and flexural ...
Jong Bin Kim +5 more
wiley +1 more source
IEEE Journal of Selected Topics in Applied Earth Observations and Remote SensingThe structure information of hyperspectral image (HSI) is well-characterized by tensors, surpassing the capabilities of traditional compressive sensing reconstruction models based on vectors and matrices.
Xinwei Wan +4 more
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An Alternating Bayesian Approach to PARAFAC Decomposition of Tensors
IEEE Access, 2018 The PARAllel FACtor (PARAFAC) decomposition is known as one of the most commonly used tools in tensor signal/data processing. Unfortunately, its classical algorithms barely take the potential statistical and/or deterministic prior information of the ...
Ming Shi, Dan Li, Jian Qiu Zhang
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Multi-Variable Tensor Decomposition Analytics
, 2023 Time evolving meteorological variables of daily observations from multiple sources can be represented as simple 3-node tensors. Powerful analytic tools such as canonical polyadic (cp) tensor decomposition are available to factor streaming tensors into ...
Yang, Zhifeng +4 more
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A Survey of Interlayer Interaction Models for Graphene and Other 2D Materials
Advanced Materials Interfaces, EarlyView.Van der Waals interactions arising from electronic polarization at atomically close interfaces generate corrugated interlayer energy landscapes that govern normal and tangential tractions. This review presents an overview of quantum, atomistic, analytical, and continuum modeling approaches, highlighting their roles across length scales in capturing ...
Gourav Yadav +2 more
wiley +1 more source