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Tensor rank decomposition

In multilinear algebra, the tensor rank decomposition or rank-R decomposition is the decomposition of a tensor as a sum of R rank-1 tensors, where R is minimal. Computing this decomposition is an open problem.[clarification needed]

Applications, Calculating the CPD & Tensor rank

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Overview

Tensor rank

Properties

Calculating the CPD

Applications

Advanced semantic analysis

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Tensor rank decomposition

Nodes49
Edges48
Triples6
Avg. degree1.96
Density0.040816
Components1

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Tensor rank decomposition

Top relations

related to Identifiability · 4
Tensor rank decomposition → An, For, It, Observe

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Important terminology

displaystyle rank tensor tensors decomposition generic otimes mathcal set times cdots space known rank-1 ldots sum problem case may called

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
topic modelinginstance ofIn applications0.80text
this can be interpreted as the co-occurrence of words in a documentinstance ofIn applications0.80text
Tensor rank decompositionrelated to IdentifiabilityIt0.60section
Tensor rank decompositionrelated to IdentifiabilityFor0.60section
Tensor rank decompositionrelated to IdentifiabilityAn0.60section
Tensor rank decompositionrelated to IdentifiabilityObserve0.60section

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    Min side: 3
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