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Relevant bibliographies by topics / Higher-order tensor

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Academic literature on the topic 'Higher-order tensor'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Higher-order tensor"

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Monchiet, Vincent, and Guy Bonnet. "Inversion of higher order isotropic tensors with minor symmetries and solution of higher order heterogeneity problems." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467, no. 2126 (2010): 314–32. http://dx.doi.org/10.1098/rspa.2010.0149.

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In this paper, the derivation of irreducible bases for a class of isotropic 2 n th-order tensors having particular ‘minor symmetries’ is presented. The methodology used for obtaining these bases consists of extending the concept of deviatoric and spherical parts, commonly used for second-order tensors, to the case of an n th-order tensor. It is shown that these bases are useful for effecting the classical tensorial operations and especially the inversion of a 2 n th-order tensor. Finally, the formalism introduced in this study is applied for obtaining the closed-form expression of the strain f

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Hajarian, Masoud. "Solving coupled tensor equations via higher order LSQR methods." Filomat 34, no. 13 (2020): 4419–27. http://dx.doi.org/10.2298/fil2013419h.

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Tensors have a wide application in control theory, data mining, chemistry, information sciences, documents analysis and medical engineering. The material here is motivated by the development of the efficient numerical methods for solving the coupled tensor equations (A1*M X *N B1 + C1 *M Y *N D1 = E1, A2 *M X *N B2 + C2 *M Y *N D2 = E2, with Einstein product. We propose the tensor form of the LSQR methods to find the solutions X and Y of the coupled tensor equations. Finally we give some numerical examples to illustrate that our proposed methods are able to accurately and efficiently find the

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Wimalawarne, Kishan, Makoto Yamada, and Hiroshi Mamitsuka. "Scaled Coupled Norms and Coupled Higher-Order Tensor Completion." Neural Computation 32, no. 2 (2020): 447–84. http://dx.doi.org/10.1162/neco_a_01254.

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Recently, a set of tensor norms known as coupled norms has been proposed as a convex solution to coupled tensor completion. Coupled norms have been designed by combining low-rank inducing tensor norms with the matrix trace norm. Though coupled norms have shown good performances, they have two major limitations: they do not have a method to control the regularization of coupled modes and uncoupled modes, and they are not optimal for couplings among higher-order tensors. In this letter, we propose a method that scales the regularization of coupled components against uncoupled components to prope

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Huang, Zheng-Hai, and Liqun Qi. "Stationary Probability Vectors of Higher-Order Two-Dimensional Symmetric Transition Probability Tensors." Asia-Pacific Journal of Operational Research 37, no. 04 (2020): 2040019. http://dx.doi.org/10.1142/s0217595920400199.

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In this paper, we investigate stationary probability vectors of higher-order two-dimensional symmetric transition probability tensors. We show that there are two special symmetric transition probability tensors of order [Formula: see text] dimension 2, which have and only have two stationary probability vectors; and any other symmetric transition probability tensor of order [Formula: see text] dimension 2 has a unique stationary probability vector. As a byproduct, we obtain that any symmetric transition probability tensor of order [Formula: see text] dimension 2 has a unique positive stationar

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Zheng, Yu-Bang, Ting-Zhu Huang, Xi-Le Zhao, Qibin Zhao, and Tai-Xiang Jiang. "Fully-Connected Tensor Network Decomposition and Its Application to Higher-Order Tensor Completion." Proceedings of the AAAI Conference on Artificial Intelligence 35, no. 12 (2021): 11071–78. http://dx.doi.org/10.1609/aaai.v35i12.17321.

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The popular tensor train (TT) and tensor ring (TR) decompositions have achieved promising results in science and engineering. However, TT and TR decompositions only establish an operation between adjacent two factors and are highly sensitive to the permutation of tensor modes, leading to an inadequate and inflexible representation. In this paper, we propose a generalized tensor decomposition, which decomposes an Nth-order tensor into a set of Nth-order factors and establishes an operation between any two factors. Since it can be graphically interpreted as a fully-connected network, we named it

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Xue, Zhaohui, Sirui Yang, Hongyan Zhang, and Peijun Du. "Coupled Higher-Order Tensor Factorization for Hyperspectral and LiDAR Data Fusion and Classification." Remote Sensing 11, no. 17 (2019): 1959. http://dx.doi.org/10.3390/rs11171959.

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Hyperspectral and light detection and ranging (LiDAR) data fusion and classification has been an active research topic, and intensive studies have been made based on mathematical morphology. However, matrix-based concatenation of morphological features may not be so distinctive, compact, and optimal for classification. In this work, we propose a novel Coupled Higher-Order Tensor Factorization (CHOTF) model for hyperspectral and LiDAR data classification. The innovative contributions of our work are that we model different features as multiple third-order tensors, and we formulate a CHOTF model

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Stepanov, S., and I. Tsyganok. "Vanishing theorems for higher-order Killing and Codazzi." Differential Geometry of Manifolds of Figures, no. 50 (2019): 141–47. http://dx.doi.org/10.5922/0321-4796-2019-50-16.

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A Killing p-tensor (for an arbitrary natural number p ≥ 2) is a symmetric p-tensor with vanishing symmetrized covariant derivative. On the other hand, Codazzi p-tensor is a symmetric p-tensor with symmetric covariant derivative. Let M be a complete and simply connected Riemannian manifold of nonpositive (resp. non-negative) sectional curvature. In the first case we prove that an arbitrary symmetric traceless Killing p-tensor is parallel on M if its norm is a Lq -function for some q > 0. If in addition the volume of this manifold is infinite, then this tensor is equal to zero. In the second

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Morita, Satoshi, and Naoki Kawashima. "Calculation of higher-order moments by higher-order tensor renormalization group." Computer Physics Communications 236 (March 2019): 65–71. http://dx.doi.org/10.1016/j.cpc.2018.10.014.

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Xiao, B., and J. Feng. "Higher order elastic tensors of crystal structure under non-linear deformation." Journal of Micromechanics and Molecular Physics 04, no. 04 (2019): 1950007. http://dx.doi.org/10.1142/s2424913019500073.

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The higher-order elastic tensors can be used to characterize the linear and non-linear mechanical properties of crystals at ultra-high pressures. Besides the widely studied second-order elastic constants, the third- and fourth-order elastic constants are sixth and eighth tensors, respectively. The independent tensor components of them are completely determined by the symmetry of the crystal. Using the relations between elastic constants and sound velocity in solid, the independent elastic constants can be measured experimentally. The anisotropy in elasticity of crystal structures is directly d

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Surana, Karan S., and Stephen W. Long. "Ordered Rate Constitutive Theories for Non-Classical Thermofluids Based on Convected Time Derivatives of the Strain and Higher Order Rotation Rate Tensors Using Entropy Inequality." Entropy 22, no. 4 (2020): 443. http://dx.doi.org/10.3390/e22040443.

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This paper considers non-classical continuum theory for thermoviscous fluids without memory incorporating internal rotation rates resulting from the antisymmetric part of the velocity gradient tensor to derive ordered rate constitutive theories for the Cauchy stress and the Cauchy moment tensor based on entropy inequality and representation theorem. Using the generalization of the conjugate pairs in the entropy inequality, the ordered rate constitutive theory for Cauchy stress tensor considers convected time derivatives of the Green’s strain tensor (or Almansi strain tensor) of up to orders n

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Dissertations / Theses on the topic "Higher-order tensor"

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Turner, Kenneth James. "Higher-order filtering for nonlinear systems using symmetric tensors." Thesis, Queensland University of Technology, 1999.

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Nogueira, Pedro Henrique Fusco. "Modelos para partículas massivas de spin-2 via tensor simétrico." Universidade Estadual Paulista (UNESP), 2018. http://hdl.handle.net/11449/152896.

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Submitted by Pedro Henrique Fusco Nogueira null (pedrofusconogueira@gmail.com) on 2018-03-04T20:59:18Z No. of bitstreams: 1 Dissertação Final.pdf: 530386 bytes, checksum: 67ed197e0d666d071b9b062d11c6ee5f (MD5)<br>Approved for entry into archive by Pamella Benevides Gonçalves null (pamella@feg.unesp.br) on 2018-03-05T19:05:49Z (GMT) No. of bitstreams: 1 nogueira_phf_me_guara.pdf: 530386 bytes, checksum: 67ed197e0d666d071b9b062d11c6ee5f (MD5)<br>Made available in DSpace on 2018-03-05T19:05:49Z (GMT). No. of bitstreams: 1 nogueira_phf_me_guara.pdf: 530386 bytes, checksum: 67ed197e0d666d071b9b

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Pinheiro, Neilha Marcia. "Rigidez da esfera no espaÃo euclidiano." Universidade Federal do CearÃ, 2013. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=11203.

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CoordenaÃÃo de AperfeiÃoamento de Pessoal de NÃvel Superior<br>Neste trabalho, provamos novos resutados de rigidez para hipersuperfÃcies quase-Einsteins no espaÃo euclidiano, baseado-se nos resultados pinching do autovalor. EntÃo, nÃs deduzimos alguns resultados anÃlogos para hipersuperfÃcies quase-umbÃlicas e uma nova caracterizaÃÃo de esferas geodÃsicas<br>In this work, we prove new rigidity results for almost-Einstein hypersurfaces of the Euclidean space, based on previous eigenvalue pinching results. Then, we deduce some comparable result for almost-umbilic hypersurfaces and new character

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Savas, Berkant. "Algorithms in data mining using matrix and tensor methods." Doctoral thesis, Linköpings universitet, Beräkningsvetenskap, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-11597.

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In many fields of science, engineering, and economics large amounts of data are stored and there is a need to analyze these data in order to extract information for various purposes. Data mining is a general concept involving different tools for performing this kind of analysis. The development of mathematical models and efficient algorithms is of key importance. In this thesis we discuss algorithms for the reduced rank regression problem and algorithms for the computation of the best multilinear rank approximation of tensors. The first two papers deal with the reduced rank regression problem,

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Ankele, Michael Peter [Verfasser]. "Higher-Order Tensors and Differential Topology in Diffusion MRI Modeling and Visualization / Michael Peter Ankele." Bonn : Universitäts- und Landesbibliothek Bonn, 2019. http://d-nb.info/1188731769/34.

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Ankele, Michael [Verfasser]. "Higher-Order Tensors and Differential Topology in Diffusion MRI Modeling and Visualization / Michael Peter Ankele." Bonn : Universitäts- und Landesbibliothek Bonn, 2019. http://d-nb.info/1188731769/34.

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Vasile, Costin. "Characterization & detection of electric Arc Detection in Low-Voltage IEC Networks." Thesis, Université Grenoble Alpes (ComUE), 2018. http://www.theses.fr/2018GREAT008.

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Contexte & Motivation:Les installations électriques des bâtiments se détériorent au fil du temps et leur gravité et leur taux de détérioration dépendent de facteurs environnementaux (chaleur, humidité, réactions chimiques corrosives et vieillies isolations) ou d'actions externes indésirables telles que la manipulation humaine erronée, qui conduit à des charges ou des câbles/réseaux endommagés.L'European Fire Academy (EFA) et de nombreuses compagnies d'assurance indiquent que 25% des incendies de bâtiments sont d'origine électrique. Ces incendies peuvent être déclenchés par des circuits sur

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Hlawitschka, Mario, and Gerik Scheuermann. "Tracking Lines in Higher Order Tensor Fields: Tracking Lines in Higher Order Tensor Fields." 2010. https://ul.qucosa.de/id/qucosa%3A32978.

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While tensors occur in many areas of science and engineering, little has been done to visualize tensors with order higher than two. Tensors of higher orders can be used for example to describe complex diffusion patterns in magnetic resonance imaging (MRI). Recently, we presented a method for tracking lines in higher order tensor fields that is a generalization of methods known from first order tensor fields (vector fields) and symmetric second order tensor fields. Here, this method is applied to magnetic resonance imaging where tensor fields are used to describe diffusion patterns for example

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Hlawitschka, Mario, Gerik Scheuermann, Alfred Anwander, Thomas Knösche, Marc Tittgemeyer, and Bernd Hamann. "Tensor Lines in Tensor Fields of Arbitrary Order: Tracking Lines in Higher Order Tensor Fields." 2007. https://ul.qucosa.de/id/qucosa%3A32979.

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This paper presents a method to reduce time complexity of the computation of higher–order tensor lines. The method can be applied to higher–order tensors and the spherical harmonics representation, both widely used in medical imaging. It is based on a gradient descend technique and integrates well into fiber tracking algorithms. Furthermore, the method improves the angular resolution in contrast to discrete sampling methods which is especially important to tractography, since there, small errors accumulate fast and make the result unusable. Our implementation does not interpolate derived direc

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Hlawitschka, Mario, and Gerik Scheuermann. "HOT–Lines: Tracking Lines in Higher Order Tensor Fields." 2005. https://ul.qucosa.de/id/qucosa%3A32976.

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Tensors occur in many areas of science and engineering. Especially, they are used to describe charge, mass and energy transport (i.e. electrical conductivity tensor, diffusion tensor, thermal conduction tensor resp.) If the locale transport pattern is complicated, usual second order tensor representation is not sufficient. So far, there are no appropriate visualization methods for this case. We point out similarities of symmetric higher order tensors and spherical harmonics. A spherical harmonic representation is used to improve tensor glyphs. This paper unites the definition of streamlines a

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Books on the topic "Higher-order tensor"

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Jackson, Richard Henry Frymuth. Tensor structures and higher-order sensitivity analysis in factorable programming with applications. U.S. Dept. of Commerce, National Bureau of Standards, 1985.

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Westin, Carl-Fredrik, Anna Vilanova, and Bernhard Burgeth, eds. Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-54301-2.

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Mori, Susumu, and J.-Donald Tournier. Introduction to Diffusion Tensor Imaging: And Higher Order Models. Elsevier Science & Technology Books, 2013.

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Mori, Susumu, and J.-Donald Tournier. Introduction to Diffusion Tensor Imaging: And Higher Order Models. Elsevier Science & Technology Books, 2013.

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5

Briggs, Carey. Higher-Order Lovelock Tensors and the Coefficients of Higher-Order Lovelock Lagrangians and Exterior Differential Forms Including Higher-Order Chern Forms and Their Coefficients Expressed in Terms of Pontrjagin's Characteristic Tensors of the Second Kind. Lulu Press, Inc., 2020.

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Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data. Springer, 2014.

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Vilanova, Anna, Carl-Fredrik Westin, and Bernhard Burgeth. Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data. Springer, 2016.

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Schultz, Thomas, and Ingrid Hotz. Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data. Springer International Publishing AG, 2015.

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Vilanova, Anna, Carl-Fredrik Westin, and Bernhard Burgeth. Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data. Springer London, Limited, 2014.

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Isett, Philip. Notation. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174822.003.0004.

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This chapter explains the notation for the basic construction of the correction. It employs the Einstein summation convention, according to which there is an implied summation when a pair of indices is repeated, and the conventions of abstract index notation, so that upper indices and lower indices distinguish contravariant and covariant tensors. It also presents the notation concerning multi-indices which will later prove helpful for expressing higher order derivatives of a composition. In this notation, a K-tuple of multi-indices is said to form an ordered K-partition of a multi-index if the

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Book chapters on the topic "Higher-order tensor"

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Qi, Liqun, Haibin Chen, and Yannan Chen. "Higher Order Diffusion Tensor Imaging." In Advances in Mechanics and Mathematics. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-8058-6_6.

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Schultz, Thomas, Joachim Weickert, and Hans-Peter Seidel. "A Higher-Order Structure Tensor." In Mathematics and Visualization. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-88378-4_13.

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Sahraee, Shahab, and Peter Wriggers. "Algebra of Higher-Order Tensors." In Tensor Calculus and Differential Geometry for Engineers. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-33953-0_3.

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Bassoy, Cem, and Volker Schatz. "Fast Higher-Order Functions for Tensor Calculus with Tensors and Subtensors." In Lecture Notes in Computer Science. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-93698-7_49.

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Schultz, Thomas. "Towards Resolving Fiber Crossings with Higher Order Tensor Inpainting." In Mathematics and Visualization. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27343-8_13.

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Zhang, Yue, Jonathan Palacios, and Eugene Zhang. "Topology of 3D Linear Symmetric Tensor Fields." In Visualization and Processing of Higher Order Descriptors for Multi-Valued Data. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15090-1_4.

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van de Gronde, Jasper J., Mikola Lysenko, and Jos B. T. M. Roerdink. "Path-Based Mathematical Morphology on Tensor Fields." In Visualization and Processing of Higher Order Descriptors for Multi-Valued Data. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15090-1_6.

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Babichev, Eugeny, Christos Charmousis, and Nicolas Lecoeur. "Exact Black Hole Solutions in Higher Order Scalar Tensor Theories." In Compact Objects in the Universe. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-55098-0_1.

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Dohrmann, Clark R. "Spectral Equivalence Properties of Higher-Order Tensor Product Finite Elements." In Domain Decomposition Methods in Science and Engineering XXVI. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-95025-5_21.

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Schöneich, Marc, Andrea Kratz, Valentin Zobel, Gerik Scheuermann, Markus Stommel, and Ingrid Hotz. "Tensor Lines in Engineering: Success, Failure, and Open Questions." In Visualization and Processing of Higher Order Descriptors for Multi-Valued Data. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15090-1_17.

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Conference papers on the topic "Higher-order tensor"

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Kato, Tetsu, Aiko Furukawa, and Tomohiro Takeichi. "Proposal and numerical verification of tension estimation method for Nielsen–Lohse bridge cables based on mode shape measurements from low to high orders." In IABSE Symposium, Tokyo 2025: Environmentally Friendly Technologies and Structures: Focusing on Sustainable Approaches. International Association for Bridge and Structural Engineering (IABSE), 2025. https://doi.org/10.2749/tokyo.2025.2040.

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<p>The Nielsen–Lohse bridge relies on cable tension to support loads, highlighting the importance of accurately estimating cable tension for effective maintenance. In Japan, the higher-order vibration method is widely used as a method for estimating cable tension. However, because the higher-order vibration method is only applicable to a single cable, all intersection clamps must be removed to use this method for a Nielsen–Lohse bridge, where multiple cables are clamped with each other. Because removing and reinstalling the intersection clamps takes time and effort, this study focused on

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Sanguansat, Parinya. "Higher-order random projection for tensor object recognition." In 2010 10th International Symposium on Communications and Information Technologies (ISCIT). IEEE, 2010. http://dx.doi.org/10.1109/iscit.2010.5665064.

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Leplat, Valentin, Anh-Huy Phan, and Andersen Ang. "Inexact higher-order proximal algorithms for tensor factorization." In 2023 IEEE Statistical Signal Processing Workshop (SSP). IEEE, 2023. http://dx.doi.org/10.1109/ssp53291.2023.10208064.

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Hewer, Alexander, Joachim Weickert, Henning Seibert, Tobias Scheffer, and Stefan Diebels. "Lagrangian Strain Tensor Computation with Higher Order Variational Models." In British Machine Vision Conference 2013. British Machine Vision Association, 2013. http://dx.doi.org/10.5244/c.27.129.

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Benson, Austin R., David F. Gleich, and Jure Leskovec. "Tensor Spectral Clustering for Partitioning Higher-order Network Structures." In Proceedings of the 2015 SIAM International Conference on Data Mining. Society for Industrial and Applied Mathematics, 2015. http://dx.doi.org/10.1137/1.9781611974010.14.

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Patabandi, Tharindu R., Anand Venkat, Abhishek Kulkarni, Pushkar Ratnalikar, Mary Hall, and Justin Gottschlich. "Predictive data locality optimization for higher-order tensor computations." In PLDI '21: 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation. ACM, 2021. http://dx.doi.org/10.1145/3460945.3464955.

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Blouin, Alain, Pierre Galarneau, and Marguerite Marie Denariez-Roberge. "Tensor components of higher-order susceptibilities in a saturable absorber." In OSA Annual Meeting. Optica Publishing Group, 1990. http://dx.doi.org/10.1364/oam.1990.thy5.

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Higher-order nonlinearities may affect the performance of optical devices based on the third-order nonlinearity and may also be important in the characterization of nonlinear materials. A geometry of n-wave mixing to selectively probe each order of the nonlinearity was first proposed by Raj et al.,1 and its behavior was analyzed by us.2 We propose a theoretical model based on a holographic approach for all orders of the nonlinearities in a saturable absorber in stationary and transient regimes. Results of the theoretical calculation for the tensor components of the susceptibilities will be pre

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Chachlakis, Dimitris G., Ashley Prater-Bennette, and Panos P. Markopoulos. "L1-Norm Higher-Order Orthogonal Iterations for Robust Tensor Analysis." In ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2020. http://dx.doi.org/10.1109/icassp40776.2020.9053701.

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Zhang, Ming-jian, and Jun Peng. "Blind Source Separation Using Canonical Decomposition of Higher Order Tensor." In 2016 International Conference on Electrical Engineering and Automation (EEA2016). WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813220362_0106.

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Wang, Ren, Meng Wang, and Jinjun Xiong. "Quantized Higher-Order Tensor Recovery by Exploring Low-Dimensional Structures." In 2020 54th Asilomar Conference on Signals, Systems, and Computers. IEEE, 2020. http://dx.doi.org/10.1109/ieeeconf51394.2020.9443481.

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Reports on the topic "Higher-order tensor"

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Mohammadi, Shahin, David F. Gleich, Tamara G. Kolda, and Ananth Grama. Triangular Alignment (TAME). A Tensor-based Approach for Higher-order Network Alignment. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1226005.

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Dohrmann, Clark. Spectral Equivalence Properties of Higher-Order Tensor Product Finite Elements and Applications to Preconditioning. Office of Scientific and Technical Information (OSTI), 2021. http://dx.doi.org/10.2172/1761047.

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Monetary Policy Report - October 2022. Banco de la República Colombia, 2022. http://dx.doi.org/10.32468/inf-pol-mont-eng.tr4-2022.

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1.1 Macroeconomic summary In September, headline inflation (11.4% annually) and the average of core inflation indicators (8.6% annually) continued on a rising trend, and higher increases than expected were recorded. Forecasts increased again, and inflation expectations remained above 3%. Inflationary surprises in the third quarter were significant and widespread, and they are the result of several shocks. On the one hand, international cost and price shocks, which have mainly affected goods and foods, continue to exert upwards pressure on national inflation. In addition to these external suppl

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Negotiating Family and Personal Aspirations: Four Young Cambodian Women Reflecting on Choosing a Major. Cambodia Development Resource Institute, 2024. https://doi.org/10.64202/wp.146.202408.

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Despite recent declines in university enrolment due to the COVID-19 pandemic and other factors, the number of university students has continued to grow in Cambodia. In fact, in its recent Education 2030 Roadmap, the Ministry of Education, Youth and Sport (MoEYS) estimates that there will be twice as many students enrolled in higher education in 2030 as there were in 2018 (MoEYS 2019a, 36). The field students choose as their major when they enrol in higher education orients their pathway into future career opportunities and impacts the country’s educated workforce. The Royal Government of Cambo

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