Sorry, you need to enable JavaScript to visit this website.

Probability; tensors

GlobalSIP 2018 Keynote: Tensors and Probability: An Intriguing Union (N. Sidiropoulos, N. Kargas, X. Fu)


We reveal an interesting link between tensors and multivariate statistics. The rank of a multivariate probability tensor can be interpreted as a nonlinear measure of statistical dependence of the associated random variables. Rank equals one when the random variables are independent, and complete statistical dependence corresponds to full rank; but we show that rank as low as two can already model strong statistical dependence.

Paper Details

Authors:
N.D. Sidiropoulos, N. Kargas, X. Fu
Submitted On:
24 December 2018 - 8:25pm
Short Link:
Type:
Event:
Presenter's Name:
Paper Code:
Document Year:
Cite

Document Files

GlobalSIP 2018 Keynote: Tensors and Probability: An Intriguing Union (N. Sidiropoulos, N. Kargas, X. Fu)

(21 downloads)

Subscribe

[1] N.D. Sidiropoulos, N. Kargas, X. Fu, "GlobalSIP 2018 Keynote: Tensors and Probability: An Intriguing Union (N. Sidiropoulos, N. Kargas, X. Fu)", IEEE SigPort, 2018. [Online]. Available: http://sigport.org/3842. Accessed: Jan. 16, 2019.
@article{3842-18,
url = {http://sigport.org/3842},
author = {N.D. Sidiropoulos; N. Kargas; X. Fu },
publisher = {IEEE SigPort},
title = {GlobalSIP 2018 Keynote: Tensors and Probability: An Intriguing Union (N. Sidiropoulos, N. Kargas, X. Fu)},
year = {2018} }
TY - EJOUR
T1 - GlobalSIP 2018 Keynote: Tensors and Probability: An Intriguing Union (N. Sidiropoulos, N. Kargas, X. Fu)
AU - N.D. Sidiropoulos; N. Kargas; X. Fu
PY - 2018
PB - IEEE SigPort
UR - http://sigport.org/3842
ER -
N.D. Sidiropoulos, N. Kargas, X. Fu. (2018). GlobalSIP 2018 Keynote: Tensors and Probability: An Intriguing Union (N. Sidiropoulos, N. Kargas, X. Fu). IEEE SigPort. http://sigport.org/3842
N.D. Sidiropoulos, N. Kargas, X. Fu, 2018. GlobalSIP 2018 Keynote: Tensors and Probability: An Intriguing Union (N. Sidiropoulos, N. Kargas, X. Fu). Available at: http://sigport.org/3842.
N.D. Sidiropoulos, N. Kargas, X. Fu. (2018). "GlobalSIP 2018 Keynote: Tensors and Probability: An Intriguing Union (N. Sidiropoulos, N. Kargas, X. Fu)." Web.
1. N.D. Sidiropoulos, N. Kargas, X. Fu. GlobalSIP 2018 Keynote: Tensors and Probability: An Intriguing Union (N. Sidiropoulos, N. Kargas, X. Fu) [Internet]. IEEE SigPort; 2018. Available from : http://sigport.org/3842