Title
SEMIBLIND SUBGRAPH RECONSTRUCTION IN GAUSSIAN GRAPHICAL MODELS
Abstract
Consider a social network where only a few nodes (agents) have meaningful interactions in the sense that the conditional dependency graph over node attribute variables (behaviors) is sparse. A company that can only observe the interactions between its own customers will generally not be able to accurately estimate its customers' dependency subgraph: it is blinded to any external interactions of its customers and this blindness creates false edges in its subgraph. In this paper we address the semiblind scenario where the company has access to a noisy summary of the complementary subgraph connecting external agents, e.g., provided by a consolidator. The proposed framework applies to other applications as well, including field estimation from a network of awake and sleeping sensors and privacy-constrained information sharing over social subnetworks. We propose a penalized likelihood approach in the context of a graph signal obeying a Gaussian graphical models (GGM). We use a convex-concave iterative optimization algorithm to maximize the penalized likelihood. The effectiveness of our approach is demonstrated through numerical experiments and comparison with state-of-the-art GGM and latent-variable (LV-GGM) methods.
Year
DOI
Venue
2017
10.1109/globalsip.2017.8309035
IEEE Global Conference on Signal and Information Processing
Keywords
DocType
Volume
Network topology inference,Gaussian graphical model,data privacy,convex-concave procedure,alternating direction methods of multipliers
Conference
abs/1711.05391
ISSN
Citations 
PageRank 
2376-4066
0
0.34
References 
Authors
6
3
Name
Order
Citations
PageRank
Tianpei Xie100.68
Sijia Liu218142.37
Alfred O. Hero III32600301.12