{"corpus_id":15429996,"paper_sha":"c7b572ca4b537d709287e1f4943ed7912a770c0d","doi":"10.1109/TSP.2008.917383","arxiv_id":null,"pmid":null,"pmcid":null,"mag_id":2118776392,"dblp_id":"journals/tsp/LopesS08","acl_id":null,"title":"Diffusion Least-Mean Squares Over Adaptive Networks: Formulation and Performance Analysis","year":2008,"publication_date":"2008-07-01","venue":"IEEE Transactions on Signal Processing","journal":{"name":"IEEE Transactions on Signal Processing","pages":"3122-3136","volume":"56"},"journal_issn":null,"journal_title":null,"publication_types":["JournalArticle"],"pubmed_pub_types":null,"s2_fields_of_study":["Mathematics","Computer Science","Engineering"],"reference_count":30,"citation_count":1095,"influential_citation_count":125,"is_open_access":false,"arxiv_categories":null,"arxiv_license":null,"arxiv_journal_ref":null,"mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":null,"s2_open_access_landing_url":null,"s2_open_access_license":null,"s2_open_access_status":null,"pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"We formulate and study distributed estimation algorithms based on diffusion protocols to implement cooperation among individual adaptive nodes. The individual nodes are equipped with local learning abilities. They derive local estimates for the parameter of interest and share information with their neighbors only, giving rise to peer-to-peer protocols. The resulting algorithm is distributed, cooperative and able to respond in real time to changes in the environment. It improves performance in terms of transient and steady-state mean-square error, as compared with traditional noncooperative schemes. Closed-form expressions that describe the network performance in terms of mean-square error quantities are derived, presenting a very good match with simulations.","claims":[{"public_id":"cl_33cf55cdc7d47d9697c4ed6ccb3f0fbd","status":"active","text":"Closed-form expressions for network performance in terms of mean-square error quantities closely match simulations.","confidence":0.95,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_33cf55cdc7d47d9697c4ed6ccb3f0fbd"},{"public_id":"cl_ea217bd738a9ecb7694d91ed9867045b","status":"active","text":"Diffusion protocols yield a distributed, cooperative peer-to-peer estimation scheme in which nodes share information only with their neighbors.","confidence":0.97,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous 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