{"id":"https://openalex.org/W2136333295","doi":"https://doi.org/10.1109/tsp.2011.2161302","title":"On the Maximum Likelihood Approach for Source and Network Localization","display_name":"On the Maximum Likelihood Approach for Source and Network Localization","publication_year":2011,"publication_date":"2011-07-11","ids":{"openalex":"https://openalex.org/W2136333295","doi":"https://doi.org/10.1109/tsp.2011.2161302","mag":"2136333295"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2011.2161302","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.2161302","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","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/A5047769213","display_name":"Giuseppe Destino","orcid":"https://orcid.org/0000-0002-7463-0115"},"institutions":[{"id":"https://openalex.org/I98381234","display_name":"University of Oulu","ror":"https://ror.org/03yj89h83","country_code":"FI","type":"education","lineage":["https://openalex.org/I98381234"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Giuseppe Destino","raw_affiliation_strings":["Centre of Wireless Communications, University of Oulu, Oulu, Finland","Centre for Wireless Communication, University of Oulu, Oulu, Finland"],"affiliations":[{"raw_affiliation_string":"Centre of Wireless Communications, University of Oulu, Oulu, Finland","institution_ids":["https://openalex.org/I98381234"]},{"raw_affiliation_string":"Centre for Wireless Communication, University of Oulu, Oulu, Finland","institution_ids":["https://openalex.org/I98381234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042210188","display_name":"Giuseppe Thadeu Freitas de Abreu","orcid":"https://orcid.org/0000-0002-5018-8174"},"institutions":[{"id":"https://openalex.org/I98381234","display_name":"University of Oulu","ror":"https://ror.org/03yj89h83","country_code":"FI","type":"education","lineage":["https://openalex.org/I98381234"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Giuseppe Abreu","raw_affiliation_strings":["Centre of Wireless Communications, University of Oulu, Oulu, Finland","Centre for Wireless Communication, University of Oulu, Oulu, Finland"],"affiliations":[{"raw_affiliation_string":"Centre of Wireless Communications, University of Oulu, Oulu, Finland","institution_ids":["https://openalex.org/I98381234"]},{"raw_affiliation_string":"Centre for Wireless Communication, University of Oulu, Oulu, Finland","institution_ids":["https://openalex.org/I98381234"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047769213"],"corresponding_institution_ids":["https://openalex.org/I98381234"],"apc_list":null,"apc_paid":null,"fwci":4.2394,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.94578341,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"59","issue":"10","first_page":"4954","last_page":"4970"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":1.0,"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":1.0,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6910489797592163},{"id":"https://openalex.org/keywords/cram\u00e9r\u2013rao-bound","display_name":"Cram\u00e9r\u2013Rao bound","score":0.5900875926017761},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5733410716056824},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48949134349823},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.4869297742843628},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.4639657735824585},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4625280499458313},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.452340304851532},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4455545246601105},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.428798109292984},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4285818338394165},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.41927939653396606},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.2975732088088989},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24501675367355347},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13501286506652832},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.10291564464569092},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.10264742374420166},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08152616024017334}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6910489797592163},{"id":"https://openalex.org/C4978587","wikidata":"https://www.wikidata.org/wiki/Q1138810","display_name":"Cram\u00e9r\u2013Rao bound","level":3,"score":0.5900875926017761},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5733410716056824},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48949134349823},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.4869297742843628},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.4639657735824585},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4625280499458313},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.452340304851532},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4455545246601105},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.428798109292984},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4285818338394165},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41927939653396606},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.2975732088088989},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24501675367355347},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13501286506652832},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.10291564464569092},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.10264742374420166},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08152616024017334},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2011.2161302","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.2161302","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":76,"referenced_works":["https://openalex.org/W187697284","https://openalex.org/W250076511","https://openalex.org/W604181985","https://openalex.org/W637208921","https://openalex.org/W1514025487","https://openalex.org/W1531532259","https://openalex.org/W1552566502","https://openalex.org/W1597720781","https://openalex.org/W1602370902","https://openalex.org/W1965392255","https://openalex.org/W1981745143","https://openalex.org/W1981950143","https://openalex.org/W1983874789","https://openalex.org/W1988543519","https://openalex.org/W1999867771","https://openalex.org/W2012197287","https://openalex.org/W2012462772","https://openalex.org/W2028945613","https://openalex.org/W2038166203","https://openalex.org/W2038946940","https://openalex.org/W2049444669","https://openalex.org/W2053130483","https://openalex.org/W2069583850","https://openalex.org/W2075893026","https://openalex.org/W2077139171","https://openalex.org/W2093919938","https://openalex.org/W2094775216","https://openalex.org/W2095172966","https://openalex.org/W2099055931","https://openalex.org/W2101658087","https://openalex.org/W2104264645","https://openalex.org/W2104715941","https://openalex.org/W2107376953","https://openalex.org/W2109739017","https://openalex.org/W2119047603","https://openalex.org/W2119780913","https://openalex.org/W2124178852","https://openalex.org/W2127002206","https://openalex.org/W2130184389","https://openalex.org/W2132639726","https://openalex.org/W2133085864","https://openalex.org/W2133353795","https://openalex.org/W2134984042","https://openalex.org/W2136106173","https://openalex.org/W2137009703","https://openalex.org/W2139090801","https://openalex.org/W2146281661","https://openalex.org/W2147951661","https://openalex.org/W2150388519","https://openalex.org/W2151343895","https://openalex.org/W2151483700","https://openalex.org/W2154020241","https://openalex.org/W2155696966","https://openalex.org/W2156668452","https://openalex.org/W2161859912","https://openalex.org/W2162174474","https://openalex.org/W2163513242","https://openalex.org/W2165830528","https://openalex.org/W2168002549","https://openalex.org/W2170215665","https://openalex.org/W2286953052","https://openalex.org/W2296319761","https://openalex.org/W2798333393","https://openalex.org/W2989042483","https://openalex.org/W3008609509","https://openalex.org/W3138835833","https://openalex.org/W4237453163","https://openalex.org/W4239940917","https://openalex.org/W4245808720","https://openalex.org/W4250589301","https://openalex.org/W4252316495","https://openalex.org/W4300223101","https://openalex.org/W4301014524","https://openalex.org/W6633824118","https://openalex.org/W6657926101","https://openalex.org/W6680507795"],"related_works":["https://openalex.org/W2164801693","https://openalex.org/W2120266201","https://openalex.org/W2585557503","https://openalex.org/W2389491004","https://openalex.org/W2384282517","https://openalex.org/W1976418043","https://openalex.org/W4285066106","https://openalex.org/W2103817491","https://openalex.org/W2631365318","https://openalex.org/W2952841129"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,11,14,18,39,43,46,51,55,58,68,83,93,109,118,122,126,149,170,178,187,191,209,227],"source":[3,34,141],"and":[4,17,35,45,53,125,142,169,199],"network":[5,36,143],"localization":[6,37,84,123,144,202],"problems,":[7],"seeking":[8],"to":[9,132,140,154,177,196,218,224],"strengthen":[10],"relationship":[12],"between":[13],"Weighted-Least-Square":[15],"(WLS)":[16],"Maximum-Likelihood":[19],"(ML)":[20],"solutions":[21,188],"of":[22,57,70,89,92,104,121,148,156,208,226],"these":[23],"problems.":[24,145],"To":[25],"this":[26],"end,":[27],"we":[28],"design":[29],"an":[30],"optimization":[31],"algorithm":[32,81,193],"for":[33,232],"under":[38],"principle":[40],"that:":[41],"a)":[42],"WLS":[44,94,113],"ML":[47,119],"objectives":[48],"should":[49],"be":[50],"same;":[52],"b)":[54],"solution":[56],"ML-WLS":[59],"objective":[60,114],"does":[61],"not":[62],"depend":[63],"on":[64],"any":[65],"information":[66],"besides":[67],"set":[69],"given":[71],"distance":[72],"measurements":[73],"(observations).":[74],"The":[75,146,183,213],"proposed":[76],"Range-Global":[77],"Distance":[78],"Continuation":[79],"(R-GDC)":[80],"solves":[82],"problems":[85],"via":[86],"iterative":[87],"minimizations":[88],"smoothed":[90],"variations":[91],"objective,":[95],"each":[96],"obtained":[97,189],"by":[98],"convolution":[99],"with":[100,190],"a":[101,201,220],"Gaussian":[102],"kernel":[103],"progressively":[105],"smaller":[106],"variances.":[107],"Since":[108],"last":[110],"(not":[111],"smoothed)":[112],"derives":[115],"directly":[116],"from":[117],"formulation":[120],"problem,":[124],"R-GDC":[127,150,192,214],"requires":[128],"no":[129],"initial":[130,197],"estimate":[131],"minimize":[133],"it,":[134],"final":[135],"result":[136],"is":[137,152,194,215,230],"maximum-likelihood":[138],"approach":[139],"performance":[147],"method":[151],"compared":[153],"that":[155,186,204,207,225],"state-of-the-art":[157],"techniques":[158],"such":[159],"as":[160,174,176],"semidefinite":[161],"programming":[162],"(SDP),":[163],"nonlinear":[164],"Newton":[165],"least":[166],"squares":[167],"(NLS),":[168],"Stress-of-a-MAjorizing-Complex-Objective-Function":[171],"(SMACOF)":[172],"algorithms,":[173],"well":[175],"Cram\u00e9r-Rao":[179],"Lower":[180],"Bound":[181],"(CRLB).":[182],"comparison":[184],"reveals":[185],"insensitive":[195],"estimates":[198],"provides":[200],"error":[203],"closely":[205],"approaches":[206],"corresponding":[210],"fundamental":[211],"bounds.":[212],"also":[216],"found":[217],"achieve":[219],"complexity":[221],"order":[222],"comparable":[223],"SMACOF,":[228],"which":[229],"known":[231],"its":[233],"efficiency.":[234]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
