Title
Structured nonnegative matrix factorization for traffic flow estimation of large cloud networks
Abstract
Network traffic matrix estimation is an ill-posed linear inverse problem: it requires to estimate the unobservable origin destination traffic flows, X, given the observable link traffic flows, Y, and a binary routing matrix, A, which are such that Y=AX. This is a challenging but vital problem as accurate estimation of OD flows is required for several network management tasks. In this paper, we propose a novel model for the network traffic matrix estimation problem which maps high-dimension OD flows to low-dimension latent flows with the following three constraints: (1) nonnegativity constraint on the estimated OD flows, (2) autoregression constraint that enables the proposed model to effectively capture temporal patterns of the OD flows, and (3) orthogonality constraint that ensures the mapping between low-dimensional latent flows and the corresponding link flows to be distance preserving. The parameters of the proposed model are estimated with a training algorithm based on Nesterov accelerated gradient and generally shows fast convergence. We validate the proposed traffic flow estimation model on two real backbone IP network datasets, namely Internet2 and GÉANT. Empirical results show that the proposed model outperforms the state-of-the-art models not only in terms of tracking the individual OD flows but also in terms of standard performance metrics. The proposed model is also found to be highly scalable compared to the existing state-of-the-art approaches.
Year
DOI
Venue
2021
10.1016/j.comnet.2021.108564
Computer Networks
Keywords
DocType
Volume
Network traffic matrix estimation,Nonnegative matrix factorization,Nesterov accelerated gradient,Autoregressive model,Graph embedding,Distance preserving transformation
Journal
201
ISSN
Citations 
PageRank 
1389-1286
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Syed Muhammad Atif100.34
Nicolas Gillis250339.77
Sameer Qazi3164.73
Imran Naseem414213.51