Tensor decomposition: Difference between revisions

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Revision as of 12:57, 17 August 2025

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The main tensor decompositions are:

* [[Tensor rank decomposition]];<ref>{{Cite book |last=Papalexakis |first=Evangelos E. |chapter=Automatic Unsupervised Tensor Mining with Quality Assessment |date=2016-06-30 |title=Proceedings of the 2016 SIAM International Conference on Data Mining |chapter-url=https://epubs.siam.org/doi/10.1137/1.9781611974348.80 |language=en |publisher=Society for Industrial and Applied Mathematics |pages=711–719 |doi=10.1137/1.9781611974348.80 |arxiv=1503.03355 |isbn=978-1-61197-434-8|s2cid=10147789 }}</ref>

* [[Higher-order singular value decomposition]];<ref >{{Cite book
|first1 = M.A.O.
|last1 = Vasilescu

|first2 = D.|last2=Terzopoulos

|last2 = Terzopoulos

|url = http://www.cs.toronto.edu/~maov/tensorfaces/Springer%20ECCV%202002_files/eccv02proceeding_23500447.pdf

|title=Multilinear Analysis of Image Ensembles: TensorFaces

|title = Multilinear Analysis of Image Ensembles: TensorFaces
|series = Lecture Notes in Computer Science; (Presented at Proc. 7th European Conference on Computer Vision (ECCV'02), Copenhagen, Denmark)

|publisher = Springer, Berlin, Heidelberg

|volume = 2350

|doi = 10.1007/3-540-47969-4_30

|isbn = 978-3-540-43745-1

|year = 2002

|archive-date = 2022-12-29

}}</ref>

|access-date = 2023-03-19

|archive-url = https://web.archive.org/web/20221229090931/http://www.cs.toronto.edu/~maov/tensorfaces/Springer%20ECCV%202002_files/eccv02proceeding_23500447.pdf

|url-status = dead

}}</ref>

* [[Tucker decomposition]];

* [[matrix product state]]s, and operators or tensor trains;