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Статті в журналах з теми "Rank of symmetric tensors"
Ballico, E. "Gaps in the pairs (border rank, symmetric rank) for symmetric tensors." Sarajevo Journal of Mathematics 9, no. 2 (November 2013): 169–81. http://dx.doi.org/10.5644/sjm.09.2.02.
Повний текст джерелаComon, Pierre, Gene Golub, Lek-Heng Lim, and Bernard Mourrain. "Symmetric Tensors and Symmetric Tensor Rank." SIAM Journal on Matrix Analysis and Applications 30, no. 3 (January 2008): 1254–79. http://dx.doi.org/10.1137/060661569.
Повний текст джерелаSEGAL, ARKADY Y. "POINT PARTICLE–SYMMETRIC TENSORS INTERACTION AND GENERALIZED GAUGE PRINCIPLE." International Journal of Modern Physics A 18, no. 27 (October 30, 2003): 5021–38. http://dx.doi.org/10.1142/s0217751x03015842.
Повний текст джерелаCasarotti, Alex, Alex Massarenti, and Massimiliano Mella. "On Comon’s and Strassen’s Conjectures." Mathematics 6, no. 11 (October 25, 2018): 217. http://dx.doi.org/10.3390/math6110217.
Повний текст джерелаBernardi, Alessandra, Alessandro Gimigliano, and Monica Idà. "Computing symmetric rank for symmetric tensors." Journal of Symbolic Computation 46, no. 1 (January 2011): 34–53. http://dx.doi.org/10.1016/j.jsc.2010.08.001.
Повний текст джерелаDe Paris, Alessandro. "Seeking for the Maximum Symmetric Rank." Mathematics 6, no. 11 (November 12, 2018): 247. http://dx.doi.org/10.3390/math6110247.
Повний текст джерелаObster, Dennis, and Naoki Sasakura. "Counting Tensor Rank Decompositions." Universe 7, no. 8 (August 15, 2021): 302. http://dx.doi.org/10.3390/universe7080302.
Повний текст джерелаFriedland, Shmuel. "Remarks on the Symmetric Rank of Symmetric Tensors." SIAM Journal on Matrix Analysis and Applications 37, no. 1 (January 2016): 320–37. http://dx.doi.org/10.1137/15m1022653.
Повний текст джерелаZhang, Xinzhen, Zheng-Hai Huang, and Liqun Qi. "Comon's Conjecture, Rank Decomposition, and Symmetric Rank Decomposition of Symmetric Tensors." SIAM Journal on Matrix Analysis and Applications 37, no. 4 (January 2016): 1719–28. http://dx.doi.org/10.1137/141001470.
Повний текст джерелаWen, Jie, Qin Ni, and Wenhuan Zhu. "Rank-r decomposition of symmetric tensors." Frontiers of Mathematics in China 12, no. 6 (May 5, 2017): 1339–55. http://dx.doi.org/10.1007/s11464-017-0632-5.
Повний текст джерелаДисертації з теми "Rank of symmetric tensors"
Erdtman, Elias, and Carl Jönsson. "Tensor Rank." Thesis, Linköpings universitet, Matematik och tillämpad matematik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-78449.
Повний текст джерелаmazzon, andrea. "Hilbert functions and symmetric tensors identifiability." Doctoral thesis, Università di Siena, 2021. http://hdl.handle.net/11365/1133145.
Повний текст джерелаWang, Roy Chih Chung. "Adaptive Kernel Functions and Optimization Over a Space of Rank-One Decompositions." Thesis, Université d'Ottawa / University of Ottawa, 2017. http://hdl.handle.net/10393/36975.
Повний текст джерелаHarmouch, Jouhayna. "Décomposition de petit rang, problèmes de complétion et applications : décomposition de matrices de Hankel et des tenseurs de rang faible." Thesis, Université Côte d'Azur (ComUE), 2018. http://www.theses.fr/2018AZUR4236/document.
Повний текст джерелаWe study the decomposition of a multivariate Hankel matrix as a sum of Hankel matrices of small rank in correlation with the decomposition of its symbol σ as a sum of polynomialexponential series. We present a new algorithm to compute the low rank decomposition of the Hankel operator and the decomposition of its symbol exploiting the properties of the associated Artinian Gorenstein quotient algebra . A basis of is computed from the Singular Value Decomposition of a sub-matrix of the Hankel matrix . The frequencies and the weights are deduced from the generalized eigenvectors of pencils of shifted sub-matrices of Explicit formula for the weights in terms of the eigenvectors avoid us to solve a Vandermonde system. This new method is a multivariate generalization of the so-called Pencil method for solving Pronytype decomposition problems. We analyse its numerical behaviour in the presence of noisy input moments, and describe a rescaling technique which improves the numerical quality of the reconstruction for frequencies of high amplitudes. We also present a new Newton iteration, which converges locally to the closest multivariate Hankel matrix of low rank and show its impact for correcting errors on input moments. We study the decomposition of a multi-symmetric tensor T as a sum of powers of product of linear forms in correlation with the decomposition of its dual as a weighted sum of evaluations. We use the properties of the associated Artinian Gorenstein Algebra to compute the decomposition of its dual which is defined via a formal power series τ. We use the low rank decomposition of the Hankel operator associated to the symbol τ into a sum of indecomposable operators of low rank. A basis of is chosen such that the multiplication by some variables is possible. We compute the sub-coordinates of the evaluation points and their weights using the eigen-structure of multiplication matrices. The new algorithm that we propose works for small rank. We give a theoretical generalized approach of the method in n dimensional space. We show a numerical example of the decomposition of a multi-linear tensor of rank 3 in 3 dimensional space. We show a numerical example of the decomposition of a multi-symmetric tensor of rank 3 in 3 dimensional space. We study the completion problem of the low rank Hankel matrix as a minimization problem. We use the relaxation of it as a minimization problem of the nuclear norm of Hankel matrix. We adapt the SVT algorithm to the case of Hankel matrix and we compute the linear operator which describes the constraints of the problem and its adjoint. We try to show the utility of the decomposition algorithm in some applications such that the LDA model and the ODF model
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.
Повний текст джерелаSantarsiero, Pierpaola. "Identifiability of small rank tensors and related problems." Doctoral thesis, Università degli studi di Trento, 2022. https://hdl.handle.net/11572/335243.
Повний текст джерелаTurner, Kenneth James. "Higher-order filtering for nonlinear systems using symmetric tensors." Thesis, Queensland University of Technology, 1999.
Знайти повний текст джерелаHjelm, Andersson Hampus. "Classification of second order symmetric tensors in the Lorentz metric." Thesis, Linköpings universitet, Matematiska institutionen, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-57197.
Повний текст джерелаRovi, Ana. "Analysis of 2 x 2 x 2 Tensors." Thesis, Linköping University, Department of Mathematics, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-56762.
Повний текст джерелаThe question about how to determine the rank of a tensor has been widely studied in the literature. However the analytical methods to compute the decomposition of tensors have not been so much developed even for low-rank tensors.
In this report we present analytical methods for finding real and complex PARAFAC decompositions of 2 x 2 x 2 tensors before computing the actual rank of the tensor.
These methods are also implemented in MATLAB.
We also consider the question of how best lower-rank approximation gives rise to problems of degeneracy, and give some analytical explanations for these issues.
譚天佑 and Tin-yau Tam. "A study of induced operators on symmetry classes of tensors." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1986. http://hub.hku.hk/bib/B31230738.
Повний текст джерелаКниги з теми "Rank of symmetric tensors"
Baerheim, Reidar. Coordinate free representation of the hierarchically symmetric tensor of rank 4 in determination of symmetry. [Utrecht: Faculteit Aardwetenschappen, Universiteit Utrecht], 1998.
Знайти повний текст джерелаGarcia, Miguel Angel Garrido. Characterization of the Fluctuations in a Symmetric Ensemble of Rank-Based Interacting Particles. [New York, N.Y.?]: [publisher not identified], 2021.
Знайти повний текст джерелаWerner, Müller. L²-index of elliptic operators on manifolds with cusps of rank one. Berlin: Akademie der Wissenschaften der DDR, Karl-Weierstrass-Institut für Mathematik, 1985.
Знайти повний текст джерелаTerras, Audrey. Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and Generalizations. New York, NY: Springer New York, 2016. http://dx.doi.org/10.1007/978-1-4939-3408-9.
Повний текст джерелаCai, Jianqing. Statistical inference of the eigenspace components of a symmetric random deformation tensor. Munchen: Verlag der Bayerischen Akademie der Wissenschaften in Kommission beim Verlags C.H. Beck, 2004.
Знайти повний текст джерелаTerras, Audrey. Harmonic Analysis on Symmetric Spaces--Higher Rank Spaces, Positive Definite Matrix Space and Generalizations. Springer London, Limited, 2016.
Знайти повний текст джерелаHarmonic Analysis on Symmetric Spaces--Higher Rank Spaces, Positive Definite Matrix Space and Generalizations. Springer New York, 2016.
Знайти повний текст джерелаTerras, Audrey. Harmonic Analysis on Symmetric Spaces―Higher Rank Spaces, Positive Definite Matrix Space and Generalizations. Springer, 2018.
Знайти повний текст джерелаBuchler, Justin. Voter Preferences over Bundles of Roll Call Votes. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780190865580.003.0002.
Повний текст джерелаLukas, Andre. The Oxford Linear Algebra for Scientists. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780198844914.001.0001.
Повний текст джерелаЧастини книг з теми "Rank of symmetric tensors"
Hess, Siegfried. "Symmetric Second Rank Tensors." In Tensors for Physics, 55–74. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12787-3_5.
Повний текст джерелаMalgrange, Cécile, Christian Ricolleau, and Michel Schlenker. "Second-rank tensors." In Symmetry and Physical Properties of Crystals, 205–23. Dordrecht: Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-017-8993-6_10.
Повний текст джерелаHess, Siegfried. "Symmetry of Second Rank Tensors, Cross Product." In Tensors for Physics, 33–46. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12787-3_3.
Повний текст джерелаHarmouch, Jouhayna, Bernard Mourrain, and Houssam Khalil. "Decomposition of Low Rank Multi-symmetric Tensor." In Mathematical Aspects of Computer and Information Sciences, 51–66. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-72453-9_4.
Повний текст джерелаLiu, Haixia, Lizhang Miao, and Yang Wang. "Synchronized Recovery Method for Multi-Rank Symmetric Tensor Decomposition." In Mathematics and Visualization, 241–51. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91274-5_11.
Повний текст джерелаKaimakamis, George, and Konstantina Panagiotidou. "The *-Ricci Tensor of Real Hypersurfaces in Symmetric Spaces of Rank One or Two." In Springer Proceedings in Mathematics & Statistics, 199–210. Tokyo: Springer Japan, 2014. http://dx.doi.org/10.1007/978-4-431-55215-4_18.
Повний текст джерелаBallet, Stéphane, Jean Chaumine, and Julia Pieltant. "Shimura Modular Curves and Asymptotic Symmetric Tensor Rank of Multiplication in any Finite Field." In Algebraic Informatics, 160–72. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-40663-8_16.
Повний текст джерелаBocci, Cristiano, and Luca Chiantini. "Symmetric Tensors." In UNITEXT, 105–16. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-24624-2_7.
Повний текст джерелаTinder, Richard F. "Third- and Fourth-Rank Tensor Properties—Symmetry Considerations." In Tensor Properties of Solids, 95–122. Cham: Springer International Publishing, 2007. http://dx.doi.org/10.1007/978-3-031-79306-6_6.
Повний текст джерелаHess, Siegfried. "Summary: Decomposition of Second Rank Tensors." In Tensors for Physics, 75. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12787-3_6.
Повний текст джерелаТези доповідей конференцій з теми "Rank of symmetric tensors"
Merino-Caviedes, Susana, and Marcos Martin-Fernandez. "A general interpolation method for symmetric second-rank tensors in two dimensions." In 2008 5th IEEE International Symposium on Biomedical Imaging (ISBI 2008). IEEE, 2008. http://dx.doi.org/10.1109/isbi.2008.4541150.
Повний текст джерелаGaith, Mohamed, and Cevdet Akgoz. "On the Properties of Anisotropic Piezoelectric and Fiber Reinforced Composite Materials." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-14075.
Повний текст джерелаMarmin, Arthur, Marc Castella, and Jean-Christophe Pesquet. "Detecting the Rank of a Symmetric Tensor." In 2019 27th European Signal Processing Conference (EUSIPCO). IEEE, 2019. http://dx.doi.org/10.23919/eusipco.2019.8902781.
Повний текст джерелаKyrgyzov, Olexiy, and Deniz Erdogmus. "Geometric structure of sum-of-rank-1 decompositions for n-dimensional order-p symmetric tensors." In 2008 IEEE International Symposium on Circuits and Systems - ISCAS 2008. IEEE, 2008. http://dx.doi.org/10.1109/iscas.2008.4541674.
Повний текст джерелаBarbier, Jean, Clement Luneau, and Nicolas Macris. "Mutual Information for Low-Rank Even-Order Symmetric Tensor Factorization." In 2019 IEEE Information Theory Workshop (ITW). IEEE, 2019. http://dx.doi.org/10.1109/itw44776.2019.8989408.
Повний текст джерелаChen, Bin, and John Moreland. "Human Brain Diffusion Tensor Imaging Visualization With Virtual Reality." In ASME 2010 World Conference on Innovative Virtual Reality. ASMEDC, 2010. http://dx.doi.org/10.1115/winvr2010-3761.
Повний текст джерелаWilson, Daniel W., Elias N. Glytsis, Nile F. Hartman, and Thomas K. Gaylord. "Bulk photovoltaic tensor and polarization conversion in LiNbO3." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1990. http://dx.doi.org/10.1364/oam.1990.tud8.
Повний текст джерелаKiraly, Franz J., and Andreas Ziehe. "Approximate rank-detecting factorization of low-rank tensors." In ICASSP 2013 - 2013 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2013. http://dx.doi.org/10.1109/icassp.2013.6638397.
Повний текст джерелаWang, Xiaofei, and Carmeliza Navasca. "Adaptive Low Rank Approximation for Tensors." In 2015 IEEE International Conference on Computer Vision Workshop (ICCVW). IEEE, 2015. http://dx.doi.org/10.1109/iccvw.2015.124.
Повний текст джерелаRajbhandari, Samyam, Akshay Nikam, Pai-Wei Lai, Kevin Stock, Sriram Krishnamoorthy, and P. Sadayappan. "CAST: Contraction Algorithm for Symmetric Tensors." In 2014 43nd International Conference on Parallel Processing (ICPP). IEEE, 2014. http://dx.doi.org/10.1109/icpp.2014.35.
Повний текст джерелаЗвіти організацій з теми "Rank of symmetric tensors"
Khalfan, H., R. H. Byrd, and R. B. Schnabel. A Theoretical and Experimental Study of the Symmetric Rank One Update. Fort Belvoir, VA: Defense Technical Information Center, December 1990. http://dx.doi.org/10.21236/ada233965.
Повний текст джерела