The typical rank of tall three-way arrays

By J. F. Berge. 2000

51 citations recorded by the source corpus.

Subfields: Computational Mathematics, Computer Networks and Communications, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/79ee008657541f8a263c1a49635d193642aeaf75

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mathematics

1. Pierre Comon
2. Lieven De Lathauwer
3. Giorgio Ottaviani
4. Boris N. Khoromskij
5. Tamara G. Kolda
6. Alwin Stegeman
7. Lek-Heng Lim
8. Bruce Reznick

In Computer Networks and Communications

1. Pierre Comon
2. Giorgio Ottaviani
3. Lieven De Lathauwer
4. Derya Soydaner

In Electrical and Electronic Engineering

1. Pierre Comon
2. Giorgio Ottaviani
3. Lieven De Lathauwer

Citations in the corpus

• On the typical rank of real binary forms (2009, background): “ not yet received any response either for non symmetric tensors, or for decompositions in the real eld. ten Berge showed that real third order generic tensors can assume two typical ranks, r and r+ 1 [18]. But he could not nd generic tensors assuming more than two typical ranks. Regarding general co”
• Decompositions of a Higher-Order Tensor in Block Terms - Part II: Definitions and Uniqueness (2008, background): “In the context of PARAFAC, generic and typical rank have been studied in [55, 56, 57, 58].”
• Tensor Decompositions and Applications (2009, unknown): “The CP decomposition in (3.4)”
• Symmetric Tensors and Symmetric Tensor Rank (2008, unknown): “Our technique is different from the reduction to simplicity proposed by ten Berge et al. [55, 58], but also relies on the calculation of dimensionality.”