Graph signal processing for machine learning: A review and new perspectives
It tackles the problem of handling complex graph data for machine learning researchers and practitioners, but it is a review and perspective paper, so it is incremental in nature.
This paper reviews how graph signal processing (GSP) concepts and tools, such as graph filters and transforms, address the challenge of representing and processing large-scale structured data in machine learning, focusing on exploiting data structure, improving efficiency, and enhancing interpretability, while providing new perspectives for future interdisciplinary development.
The effective representation, processing, analysis, and visualization of large-scale structured data, especially those related to complex domains such as networks and graphs, are one of the key questions in modern machine learning. Graph signal processing (GSP), a vibrant branch of signal processing models and algorithms that aims at handling data supported on graphs, opens new paths of research to address this challenge. In this article, we review a few important contributions made by GSP concepts and tools, such as graph filters and transforms, to the development of novel machine learning algorithms. In particular, our discussion focuses on the following three aspects: exploiting data structure and relational priors, improving data and computational efficiency, and enhancing model interpretability. Furthermore, we provide new perspectives on future development of GSP techniques that may serve as a bridge between applied mathematics and signal processing on one side, and machine learning and network science on the other. Cross-fertilization across these different disciplines may help unlock the numerous challenges of complex data analysis in the modern age.