Estimation of Locally Stationary Graph Processes from Incomplete Realizations

Date

2022-01-01

Author

Canbolat, Abdullah
Vural, Elif

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Stationarity is a well-studied concept in signal processing and the concept of stationary random processes has been extended to graph domains in several recent works. Meanwhile, in many scenarios a globally stationary process model may fail to accurately represent the correlation patterns of the data on the whole graph, e.g. when data is acquired on big graphs or when the behavior of the process varies significantly throughout the graph. In this work, we first propose a locally stationary graph process model, where the overall graph process is expressed through a combination of several local models. We then propose an algorithm that learns a locally stationary graph process model from partially observed realizations of the process. Experimental results show that the proposed locally stationary process model can provide significant gain in signal estimation performance compared to globally stationary models, even in cases where the process is highly stationary.

Subject Keywords

Graph processes, locally stationary processes, node-varying graph filter, non-stationary processes, vertex-frequency spectrum

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85142769073&origin=inward
https://hdl.handle.net/11511/101389

DOI

https://doi.org/10.1109/mlsp55214.2022.9943484

Conference Name

32nd IEEE International Workshop on Machine Learning for Signal Processing, MLSP 2022

Collections

Department of Electrical and Electronics Engineering, Conference / Seminar

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Citation Formats

A. Canbolat and E. Vural, “Estimation of Locally Stationary Graph Processes from Incomplete Realizations,” Xian, Çin, 2022, vol. 2022-August, Accessed: 00, 2023. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85142769073&origin=inward.