Principal Patterns on Graphs: Discovering Coherent Structures in Datasets
Authors: Kirell Benzi, Benjamin Ricaud, Pierre Vandergheynst
AI-generated Key Points
- Graphs are ubiquitous in various fields of research
- New areas have emerged to analyze graphs and data associated with their vertices
- The authors propose a fast, robust and scalable framework for retrieving and analyzing recurring patterns of activity on graphs
- Their method relies on a novel type of multilayer graph that encodes the propagation or spreading of events between successive time steps
- This approach is particularly useful for studying dynamical processes
- The authors demonstrate the versatility of their method by applying it to three real-world examples: rumors spreading on a social network, congestion patterns of pedestrians in a train station, and patterns of audio playlists used in a recommender system
- Relevant information previously hidden in the data is efficiently extracted, emphasizing the scalability of their method
- The framework can handle large datasets with millions of nodes using a parallel implementation that scales linearly with dataset size
- The approach can easily run on a single commodity server and extract valuable insights from large datasets quickly and accurately.
Abstract: Graphs are now ubiquitous in almost every field of research. Recently, new research areas devoted to the analysis of graphs and data associated to their vertices have emerged. Focusing on dynamical processes, we propose a fast, robust and scalable framework for retrieving and analyzing recurring patterns of activity on graphs. Our method relies on a novel type of multilayer graph that encodes the spreading or propagation of events between successive time steps. We demonstrate the versatility of our method by applying it on three different real-world examples. Firstly, we study how rumor spreads on a social network. Secondly, we reveal congestion patterns of pedestrians in a train station. Finally, we show how patterns of audio playlists can be used in a recommender system. In each example, relevant information previously hidden in the data is extracted in a very efficient manner, emphasizing the scalability of our method. With a parallel implementation scaling linearly with the size of the dataset, our framework easily handles millions of nodes on a single commodity server.
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