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* [[block term decomposition]]<ref>{{Cite journal |last=De Lathauwer|first=Lieven |title=Decompositions of a Higher-Order Tensor in Block Terms—Part II: Definitions and Uniqueness |url=http://epubs.siam.org/doi/10.1137/070690729 |journal=SIAM Journal on Matrix Analysis and Applications |year=2008 |volume=30 |issue=3 |pages=1033–1066 |language=en |doi=10.1137/070690729}}</ref><ref>{{citation|first1=M.A.O.|last1=Vasilescu|first2=E.|last2=Kim|first3=X.S.|last3=Zeng|title=CausalX: Causal e ''Xplanations'' and Block Multilinear Factor Analysis|work=Conference Proc. of the 2020 25th International Conference on Pattern Recognition (ICPR 2020)|year=2021 |pages=10736–10743 |doi=10.1109/ICPR48806.2021.9412780 |arxiv=2102.12853 |isbn=978-1-7281-8808-9 |s2cid=232046205 }}</ref><ref name="Vasilescu2019" /><ref>{{cite journal |last1=Gujral |first1=Ekta |last2=Pasricha |first2=Ravdeep |last3=Papalexakis |first3=Evangelos |date=2020-04-20 |title=Beyond Rank-1: Discovering Rich Community Structure in Multi-Aspect Graphs |url=https://dl.acm.org/doi/10.1145/3366423.3380129 |journal=Proceedings of the Web Conference 2020 |language=en |___location=Taipei Taiwan |publisher=ACM |pages=452–462 |doi=10.1145/3366423.3380129 |isbn=978-1-4503-7023-3|s2cid=212745714 }}</ref>
==Preliminary Definitions and Notation==
This section introduces basic notations and operations that are widely used in the field
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