{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/the-emerging-field-of-signal-processing-on","title":"The Emerging Field of Signal Processing on Graphs: Extending High-Dimensional Data Analysis to Networks and Other Irregular Domains","arxiv_id":"1211.0053","date":"2012-10-31","proceeding":null,"authors":["David I Shuman","Sunil K. Narang","Pascal Frossard","Antonio Ortega","Pierre Vandergheynst"],"abstract":"In applications such as social, energy, transportation, sensor, and neuronal\nnetworks, high-dimensional data naturally reside on the vertices of weighted\ngraphs. The emerging field of signal processing on graphs merges algebraic and\nspectral graph theoretic concepts with computational harmonic analysis to\nprocess such signals on graphs. In this tutorial overview, we outline the main\nchallenges of the area, discuss different ways to define graph spectral\ndomains, which are the analogues to the classical frequency domain, and\nhighlight the importance of incorporating the irregular structures of graph\ndata domains when processing signals on graphs. We then review methods to\ngeneralize fundamental operations such as filtering, translation, modulation,\ndilation, and downsampling to the graph setting, and survey the localized,\nmultiscale transforms that have been proposed to efficiently extract\ninformation from high-dimensional data on graphs. We conclude with a brief\ndiscussion of open issues and possible extensions.","url_abs":"http://arxiv.org/abs/1211.0053v2","url_pdf":"http://arxiv.org/pdf/1211.0053v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"the-emerging-field-of-signal-processing-on","repo_url":"https://github.com/epfl-lts2/pygsp","is_official":1,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"unanswered"}}],"tasks":[{"task_slug":"translation","task_name":"Translation"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":"https://syntology.ai/paper/1211.0053","atlas_url":"https://app.syntology.ai/?focus=1211.0053","mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}