SIGNAL PROCESSING ON GRAPHS: ESTIMATING THE STRUCTURE OF A GRAPH

被引:0
作者
Mei, Jonathan [1 ]
Moura, Jose M. F. [1 ]
机构
[1] Carnegie Mellon Univ, Dept Elect & Comp Engn, Pittsburgh, PA 15213 USA
来源
2015 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING (ICASSP) | 2015年
基金
美国国家科学基金会;
关键词
Graph Signal Processing; Graph Structure; Adjacency Matrix; Network; Time Series; COVARIANCE ESTIMATION; MODELS;
D O I
暂无
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
This paper presents a computationally tractable algorithm for estimating the graph structure of graph signals is presented. The algorithm is demonstrated on simulated and real network time series datasets, and the performance of the new method is compared to that of related methods for estimating graph structure. The adjacency matrices estimated using the new method are shown to be close to the true graph in the simulated data and consistent with prior physical knowledge in the real dataset.
引用
收藏
页码:5495 / 5499
页数:5
相关论文
共 9 条
[1]   Learning graphical models for stationary time series [J].
Bach, FR ;
Jordan, MI .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2004, 52 (08) :2189-2199
[2]   Causal Network Inference Via Group Sparse Regularization [J].
Bolstad, Andrew ;
Van Veen, Barry D. ;
Nowak, Robert .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2011, 59 (06) :2628-2641
[3]   Gradient Projection for Sparse Reconstruction: Application to Compressed Sensing and Other Inverse Problems [J].
Figueiredo, Mario A. T. ;
Nowak, Robert D. ;
Wright, Stephen J. .
IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING, 2007, 1 (04) :586-597
[4]   Sparse inverse covariance estimation with the graphical lasso [J].
Friedman, Jerome ;
Hastie, Trevor ;
Tibshirani, Robert .
BIOSTATISTICS, 2008, 9 (03) :432-441
[5]   High-dimensional covariance estimation by minimizing l1-penalized log-determinant divergence [J].
Ravikumar, Pradeep ;
Wainwright, Martin J. ;
Raskutti, Garvesh ;
Yu, Bin .
ELECTRONIC JOURNAL OF STATISTICS, 2011, 5 :935-980
[6]   Discrete Signal Processing on Graphs: Frequency Analysis [J].
Sandryhaila, Aliaksei ;
Moura, Jose M. F. .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2014, 62 (12) :3042-3054
[7]   Discrete Signal Processing on Graphs [J].
Sandryhaila, Aliaksei ;
Moura, Jose M. F. .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2013, 61 (07) :1644-1656
[8]   The Emerging Field of Signal Processing on Graphs [J].
Shuman, David I. ;
Narang, Sunil K. ;
Frossard, Pascal ;
Ortega, Antonio ;
Vandergheynst, Pierre .
IEEE SIGNAL PROCESSING MAGAZINE, 2013, 30 (03) :83-98
[9]  
Songsiri J, 2010, J MACH LEARN RES, V11, P2671