{"id":"https://openalex.org/W2026717988","doi":"https://doi.org/10.1137/100792366","title":"Formal Theory of Noisy Sensor Network Localization","display_name":"Formal Theory of Noisy Sensor Network Localization","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2026717988","doi":"https://doi.org/10.1137/100792366","mag":"2026717988"},"language":"en","primary_location":{"id":"doi:10.1137/100792366","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100792366","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015736743","display_name":"Brian D. O. Anderson","orcid":"https://orcid.org/0000-0002-1493-4774"},"institutions":[{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Brian D. O. Anderson","raw_affiliation_strings":["brian.anderson@nicta.com.au and iman.shames@nicta.com.au#TAB#"],"affiliations":[{"raw_affiliation_string":"brian.anderson@nicta.com.au and iman.shames@nicta.com.au#TAB#","institution_ids":["https://openalex.org/I42894916"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010259253","display_name":"Iman Shames","orcid":"https://orcid.org/0000-0001-7308-3546"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Iman Shames","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036000787","display_name":"Guoqiang Mao","orcid":"https://orcid.org/0000-0002-3598-4949"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guoqiang Mao","raw_affiliation_strings":["guoqiang@ee.usyd.edu.au#TAB#"],"affiliations":[{"raw_affiliation_string":"guoqiang@ee.usyd.edu.au#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001551882","display_name":"Bar\u0131\u015f Fi\u0307dan","orcid":"https://orcid.org/0000-0002-5333-0201"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bari\u015f Fidan","raw_affiliation_strings":["fidan@uwaterloo.ca#TAB#"],"affiliations":[{"raw_affiliation_string":"fidan@uwaterloo.ca#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5015736743"],"corresponding_institution_ids":["https://openalex.org/I42894916"],"apc_list":null,"apc_paid":null,"fwci":4.1174,"has_fulltext":false,"cited_by_count":70,"citation_normalized_percentile":{"value":0.94015243,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"24","issue":"2","first_page":"684","last_page":"698"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.9825000166893005,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9772999882698059,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/wireless-sensor-network","display_name":"Wireless sensor network","score":0.6756007671356201},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.633245050907135},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5263339877128601},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5014398097991943},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.49393898248672485},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45936885476112366},{"id":"https://openalex.org/keywords/rigidity","display_name":"Rigidity (electromagnetism)","score":0.4553419351577759},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4424515962600708},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.41038447618484497},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3744908571243286},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.349406361579895},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26786333322525024}],"concepts":[{"id":"https://openalex.org/C24590314","wikidata":"https://www.wikidata.org/wiki/Q336038","display_name":"Wireless sensor network","level":2,"score":0.6756007671356201},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.633245050907135},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5263339877128601},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5014398097991943},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.49393898248672485},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45936885476112366},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.4553419351577759},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4424515962600708},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.41038447618484497},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3744908571243286},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.349406361579895},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26786333322525024},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/100792366","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100792366","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/59203","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/59203","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"Journal article"},{"id":"pmh:oai:opus.lib.uts.edu.au:10453/28287","is_oa":false,"landing_page_url":"http://hdl.handle.net/10453/28287","pdf_url":null,"source":{"id":"https://openalex.org/S4306401357","display_name":"UTS ePRESS (University of Technology Sydney)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114017466","host_organization_name":"University of Technology Sydney","host_organization_lineage":["https://openalex.org/I114017466"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W90692444","https://openalex.org/W621271578","https://openalex.org/W1977438424","https://openalex.org/W2006069853","https://openalex.org/W2006805041","https://openalex.org/W2011946889","https://openalex.org/W2027524385","https://openalex.org/W2028301328","https://openalex.org/W2053741158","https://openalex.org/W2073729956","https://openalex.org/W2092946865","https://openalex.org/W2110862165","https://openalex.org/W2139834426","https://openalex.org/W2148291654","https://openalex.org/W2159297420","https://openalex.org/W2161249924","https://openalex.org/W2164824354","https://openalex.org/W2798588639"],"related_works":["https://openalex.org/W2626846570","https://openalex.org/W2068558458","https://openalex.org/W4206327962","https://openalex.org/W3204534828","https://openalex.org/W2010009304","https://openalex.org/W1541799442","https://openalex.org/W2369416114","https://openalex.org/W1974121318","https://openalex.org/W2027078051","https://openalex.org/W3114990795"],"abstract_inverted_index":{"Graph":[0],"theory":[1,37],"has":[2,98],"been":[3],"used":[4],"to":[5,18,23,119,130,146],"characterize":[6],"the":[7,10,28,36,46,49,68,87,95,115,120,137,144,150,166,174,190,200,215,222,230,236,244,256],"solvability":[8],"of":[9,38,62,77,136,152,252],"sensor":[11,24,40,50,78,96,171,231,260],"network":[12,41,51,69,97,145,216],"localization":[13,42],"problem.":[14],"If":[15],"sensors":[16,108],"correspond":[17,22],"vertices":[19],"and":[20,56,114,141,165,198,207],"edges":[21,122],"pairs":[25],"between":[26],"which":[27,233],"distance":[29,159,191,257],"is":[30,43,52,58,84,139,203],"known,":[31],"a":[32,59,74,182,241,253,270,278],"significant":[33],"result":[34],"in":[35,173,177,221,239,250,262],"range-based":[39],"that":[44,83,188,224],"if":[45,189],"graph":[47,121,138,202],"underlying":[48],"generically":[53,204],"globally":[54,205],"rigid":[55,206],"there":[57,208],"suitable":[60],"set":[61,76],"anchors":[63,103],"at":[64,104,111],"known":[65,105,125],"positions,":[66],"then":[67,186],"can":[70,80,226,247,265],"be":[71,81,147,163,218,227,248,266],"localized,":[72],"i.e.,":[73],"unique":[75],"positions":[79,172,232,261],"determined":[82],"consistent":[85],"with":[86],"data.":[88],"In":[89,156],"particular,":[90,240],"for":[91,143,229],"planar":[92],"problems,":[93],"provided":[94],"three":[99,210],"or":[100,211],"more":[101,212],"noncollinear":[102,213],"points,":[106,113],"all":[107],"are":[109,123,194,209,234],"located":[110],"generic":[112,133],"intersensor":[116],"distances":[117],"corresponding":[118],"precisely":[124],"rather":[126],"than":[127],"being":[128],"subject":[129],"measurement":[131,192],"noise,":[132],"global":[134,279],"rigidity":[135],"necessary":[140],"sufficient":[142],"localizable":[148],"(in":[149],"absence":[151],"any":[153],"further":[154],"information).":[155],"practice,":[157],"however,":[158],"measurements":[160],"will":[161,217],"never":[162],"exact,":[164],"equations":[167],"whose":[168],"solutions":[169],"deliver":[170],"noiseless":[175],"case":[176,264],"general":[178],"no":[179],"longer":[180],"have":[181,277],"solution.":[183],"This":[184],"paper":[185],"argues":[187],"errors":[193,246],"not":[195],"too":[196],"great":[197],"otherwise":[199],"associated":[201],"anchors,":[214],"approximately":[219],"localizable,":[220],"sense":[223],"estimates":[225],"found":[228,249,267],"near":[235],"correct":[237],"values;":[238],"bound":[242,254],"on":[243,255],"position":[245],"terms":[251],"errors.":[258],"The":[259],"this":[263],"by":[268],"minimizing":[269],"cost":[271],"function":[272],"which,":[273],"although":[274],"nonconvex,":[275],"does":[276],"minimum.":[280]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}