{"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/sampling-and-reconstruction-of-signals-on","title":"Sampling and Reconstruction of Signals on Product Graphs","arxiv_id":"1807.00145","date":"2018-06-30","proceeding":null,"authors":["Guillermo Ortiz-Jiménez","Mario Coutino","Sundeep Prabhakar Chepuri","Geert Leus"],"abstract":"In this paper, we consider the problem of subsampling and reconstruction of\nsignals that reside on the vertices of a product graph, such as sensor network\ntime series, genomic signals, or product ratings in a social network.\nSpecifically, we leverage the product structure of the underlying domain and\nsample nodes from the graph factors. The proposed scheme is particularly useful\nfor processing signals on large-scale product graphs. The sampling sets are\ndesigned using a low-complexity greedy algorithm and can be proven to be\nnear-optimal. To illustrate the developed theory, numerical experiments based\non real datasets are provided for sampling 3D dynamic point clouds and for\nactive learning in recommender systems.","url_abs":"http://arxiv.org/abs/1807.00145v1","url_pdf":"http://arxiv.org/pdf/1807.00145v1.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":"sampling-and-reconstruction-of-signals-on","repo_url":"https://gitlab.com/gortizji/product_graphs","is_official":1,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null},{"paper_slug":"sampling-and-reconstruction-of-signals-on","repo_url":"https://github.com/gortizji/product_graphs","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[{"task_slug":"active-learning","task_name":"Active Learning"},{"task_slug":"recommendation-systems","task_name":"Recommendation Systems"},{"task_slug":"time-series-1","task_name":"Time Series"},{"task_slug":"time-series","task_name":"Time Series Analysis"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}