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Higher-order Nonnegative CANDECOMP/PARAFAC Tensor Decomposition Using Proximal Algorithm

Abstract: 

Tensor decomposition is a powerful tool for analyzing multiway data. Nowadays, with the fast development of multisensor technology, more and more data appear in higher-order (order >= 4) and nonnegative form. However, the decomposition of higher-order nonnegative tensor suffers from poor convergence and low speed. In this study, we propose a new nonnegative CANDECOM/PARAFAC (NCP) model using proximal algorithm. The block principal pivoting method in alternating nonnegative least squares (ANLS) framework is employed to minimize the objective function. Our method can guarantee the convergence and accelerate the computation. The results of experiments on both synthetic and real data demonstrate the efficiency and superiority of our method.

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Paper Details

Authors:
Deqing Wang, Fengyu Cong, Tapani Ristaniemi
Submitted On:
10 May 2019 - 5:09pm
Short Link:
Type:
Poster
Event:
Document Year:
2019
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Document Files

Wang_et_al_Poster_NCP_ICASSP2019.pdf

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[1] Deqing Wang, Fengyu Cong, Tapani Ristaniemi, "Higher-order Nonnegative CANDECOMP/PARAFAC Tensor Decomposition Using Proximal Algorithm", IEEE SigPort, 2019. [Online]. Available: http://sigport.org/4408. Accessed: May. 23, 2019.
@article{4408-19,
url = {http://sigport.org/4408},
author = {Deqing Wang; Fengyu Cong; Tapani Ristaniemi },
publisher = {IEEE SigPort},
title = {Higher-order Nonnegative CANDECOMP/PARAFAC Tensor Decomposition Using Proximal Algorithm},
year = {2019} }
TY - EJOUR
T1 - Higher-order Nonnegative CANDECOMP/PARAFAC Tensor Decomposition Using Proximal Algorithm
AU - Deqing Wang; Fengyu Cong; Tapani Ristaniemi
PY - 2019
PB - IEEE SigPort
UR - http://sigport.org/4408
ER -
Deqing Wang, Fengyu Cong, Tapani Ristaniemi. (2019). Higher-order Nonnegative CANDECOMP/PARAFAC Tensor Decomposition Using Proximal Algorithm. IEEE SigPort. http://sigport.org/4408
Deqing Wang, Fengyu Cong, Tapani Ristaniemi, 2019. Higher-order Nonnegative CANDECOMP/PARAFAC Tensor Decomposition Using Proximal Algorithm. Available at: http://sigport.org/4408.
Deqing Wang, Fengyu Cong, Tapani Ristaniemi. (2019). "Higher-order Nonnegative CANDECOMP/PARAFAC Tensor Decomposition Using Proximal Algorithm." Web.
1. Deqing Wang, Fengyu Cong, Tapani Ristaniemi. Higher-order Nonnegative CANDECOMP/PARAFAC Tensor Decomposition Using Proximal Algorithm [Internet]. IEEE SigPort; 2019. Available from : http://sigport.org/4408