Title
DYNAMIC GRAPH LEARNING BASED ON GRAPH LAPLACIAN
Abstract
The purpose of this paper is to infer a global (collective) model of time-varying responses of a set of nodes as a dynamic graph, where the individual time series are respectively observed at each of the nodes. The motivation of this work lies in the search for a connectome model which properly captures brain functionality upon observing activities in different regions of the brain and possibly of individual neurons. We formulate the problem as a quadratic objective functional of observed node signals over short time intervals, subjected to the proper regularization reflecting the graph smoothness and other dynamics involving the underlying graph's Laplacian, as well as the time evolution smoothness of the underlying graph. The resulting joint optimization is solved by a continuous relaxation and an introduced novel gradient-projection scheme. We apply our algorithm to a real-world dataset comprising recorded activities of individual brain cells. The resulting model is shown to not only be viable but also efficiently computable.
Year
DOI
Venue
2021
10.1109/ICASSP39728.2021.9413744
2021 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP 2021)
Keywords
DocType
Citations 
Dynamic Graph Learning, Graph Signal Processing, Sparse Signal, Convex Optimization
Conference
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Jiang Bo100.34
Ashkan Panahi29313.97
Hamid Krim352059.69
Yiyi Yu401.35
Spencer Smith5165.05