TY - GEN
T1 - A Collaborative Neurodynamic Approach to Symmetric Nonnegative Matrix Factorization
AU - Che, Hangjun
AU - Wang, Jun
PY - 2018/12
Y1 - 2018/12
N2 - This paper presents a collaborative neurodynamic approach to symmetric nonnegative matrix factorization (SNMF). First, a formulated nonconvex optimization problem of SNMF is described. To solve this problem, a neurodynamic model based on an augmented Lagrangian function is proposed and proven to be convergent to a strict local optimal solution under the second-order sufficiency condition. Next, a group of neurodynamic models are employed to search for an optimal factorized matrix by using particle swarm algorithm to update the initial neuronal states. The efficacy of the proposed approach is substantiated on two datasets.
AB - This paper presents a collaborative neurodynamic approach to symmetric nonnegative matrix factorization (SNMF). First, a formulated nonconvex optimization problem of SNMF is described. To solve this problem, a neurodynamic model based on an augmented Lagrangian function is proposed and proven to be convergent to a strict local optimal solution under the second-order sufficiency condition. Next, a group of neurodynamic models are employed to search for an optimal factorized matrix by using particle swarm algorithm to update the initial neuronal states. The efficacy of the proposed approach is substantiated on two datasets.
KW - Augmented Lagrangian function
KW - Collaborative neurodynamic approach
KW - Symmetric nonnegative matrix factorization
UR - http://www.scopus.com/inward/record.url?scp=85059058106&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85059058106&origin=recordpage
U2 - 10.1007/978-3-030-04179-3_40
DO - 10.1007/978-3-030-04179-3_40
M3 - 32_Refereed conference paper (with ISBN/ISSN)
SN - 9783030041786
T3 - Lecture Notes in Computer Science
SP - 453
EP - 462
BT - Neural Information Processing
A2 - Cheng, Long
A2 - Leung, Andrew Chi Sing
A2 - Ozawa, Seiichi
PB - Springer Nature Switzerland AG
T2 - 25th International Conference on Neural Information Processing (ICONIP 2018)
Y2 - 13 December 2018 through 16 December 2018
ER -