Information Theoretic Bounds for Tensor Rank Minimization over Finite Fields

2011 IEEE Global Telecommunications Conference - GLOBECOM 2011 ◽

10.1109/glocom.2011.6133547 ◽

2011 ◽

Cited By ~ 1

Author(s):

A. Emad ◽

O. Milenkovic

Keyword(s):

Finite Fields ◽

Tensor Rank ◽

Rank Minimization ◽

Information Theoretic

Download Full-text

A note on the tensor rank of the multiplication in certain finite fields

Algebraic Geometry and Its Applications ◽

10.1142/9789812793430_0017 ◽

2008 ◽

Cited By ~ 2

Author(s):

Stéphane Ballet

Keyword(s):

Finite Fields ◽

Tensor Rank

Download Full-text

Rank Minimization Over Finite Fields: Fundamental Limits and Coding-Theoretic Interpretations

IEEE Transactions on Information Theory ◽

10.1109/tit.2011.2178017 ◽

2012 ◽

Vol 58 (4) ◽

pp. 2018-2039 ◽

Cited By ~ 11

Author(s):

V. Y. F. Tan ◽

L. Balzano ◽

S. C. Draper

Keyword(s):

Finite Fields ◽

Rank Minimization ◽

Fundamental Limits

Download Full-text

Nonconvex tensor rank minimization and its applications to tensor recovery

Information Sciences ◽

10.1016/j.ins.2019.06.061 ◽

2019 ◽

Vol 503 ◽

pp. 109-128 ◽

Cited By ~ 10

Author(s):

Jize Xue ◽

Yongqiang Zhao ◽

Wenzhi Liao ◽

Jonathan Cheung-Wai Chan

Keyword(s):

Tensor Rank ◽

Rank Minimization ◽

Tensor Recovery

Download Full-text

On the tensor rank of the multiplication in the finite fields

Journal of Number Theory ◽

10.1016/j.jnt.2007.06.010 ◽

2008 ◽

Vol 128 (6) ◽

pp. 1795-1806 ◽

Cited By ~ 12

Author(s):

Stéphane Ballet

Keyword(s):

Finite Fields ◽

Tensor Rank

Download Full-text

A Fast Algorithm for Weighted Tensor Rank Minimization

2020 IEEE International Conference on Big Data and Smart Computing (BigComp) ◽

10.1109/bigcomp48618.2020.00-77 ◽

2020 ◽

Author(s):

Sanchao Ding

Keyword(s):

Fast Algorithm ◽

Tensor Rank ◽

Rank Minimization

Download Full-text

Rank minimization over finite fields

2011 IEEE International Symposium on Information Theory Proceedings ◽

10.1109/isit.2011.6033722 ◽

2011 ◽

Cited By ~ 5

Author(s):

Vincent Y. F. Tan ◽

Laura Balzano ◽

Stark C. Draper

Keyword(s):

Finite Fields ◽

Rank Minimization

Download Full-text

On some bounds for symmetric tensor rank of multiplication in finite fields

Arithmetic, Geometry, Cryptography and Coding Theory - Contemporary Mathematics ◽

10.1090/conm/686/13779 ◽

2017 ◽

pp. 93-121 ◽

Cited By ~ 1

Author(s):

Stéphane Ballet ◽

Julia Pieltant ◽

Matthieu Rambaud ◽

Jeroen Sijsling

Keyword(s):

Finite Fields ◽

Symmetric Tensor ◽

Tensor Rank ◽

Symmetric Tensor Rank

Download Full-text

Computing lower bounds on tensor rank over finite fields

Journal of Computer and System Sciences ◽

10.1016/0022-0000(82)90052-6 ◽

1982 ◽

Vol 24 (1) ◽

pp. 1-14 ◽

Cited By ~ 1

Author(s):

Sharon J. Laskowski

Keyword(s):

Finite Fields ◽

Lower Bounds ◽

Tensor Rank

Download Full-text

Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain finite fields

Designs Codes and Cryptography ◽

10.1007/s10623-018-0560-8 ◽

2018 ◽

Vol 87 (2-3) ◽

pp. 517-525 ◽

Cited By ~ 1

Author(s):

Stéphane Ballet ◽

Alexey Zykin

Keyword(s):

Finite Fields ◽

Symmetric Tensor ◽

Prime Numbers ◽

Tensor Rank ◽

Modular Curves ◽

Symmetric Tensor Rank

Download Full-text

Upright orientation of 3D shapes via tensor rank minimization

Journal of Mechanical Science and Technology ◽

10.1007/s12206-014-0604-6 ◽

2014 ◽

Vol 28 (7) ◽

pp. 2469-2477 ◽

Cited By ~ 5

Author(s):

Weiming Wang ◽

Xiuping Liu ◽

Ligang Liu

Keyword(s):

Tensor Rank ◽

Rank Minimization ◽

Upright Orientation ◽

3D Shapes

Download Full-text