{"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/estimating-network-edge-probabilities-by","title":"Estimating network edge probabilities by neighborhood smoothing","arxiv_id":"1509.08588","date":"2015-09-29","proceeding":null,"authors":["Yuan Zhang","Elizaveta Levina","Ji Zhu"],"abstract":"The estimation of probabilities of network edges from the observed adjacency\nmatrix has important applications to predicting missing links and network\ndenoising. It has usually been addressed by estimating the graphon, a function\nthat determines the matrix of edge probabilities, but this is ill-defined\nwithout strong assumptions on the network structure. Here we propose a novel\ncomputationally efficient method, based on neighborhood smoothing to estimate\nthe expectation of the adjacency matrix directly, without making the structural\nassumptions that graphon estimation requires. The neighborhood smoothing method\nrequires little tuning, has a competitive mean-squared error rate, and\noutperforms many benchmark methods on link prediction in simulated and real\nnetworks.","url_abs":"http://arxiv.org/abs/1509.08588v3","url_pdf":"http://arxiv.org/pdf/1509.08588v3.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":"estimating-network-edge-probabilities-by","repo_url":"https://github.com/y-zhang-hf/NeighborhoodSmoothing","is_official":1,"mentioned_in_paper":0,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[{"task_slug":"denoising","task_name":"Denoising"},{"task_slug":"graphon-estimation","task_name":"Graphon Estimation"},{"task_slug":"link-prediction","task_name":"Link Prediction"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}