{"id":"https://openalex.org/W2021045725","doi":"https://doi.org/10.1109/acssc.2012.6488995","title":"Sensor localization with algebraic confidence","display_name":"Sensor localization with algebraic confidence","publication_year":2012,"publication_date":"2012-11-01","ids":{"openalex":"https://openalex.org/W2021045725","doi":"https://doi.org/10.1109/acssc.2012.6488995","mag":"2021045725"},"language":"en","primary_location":{"id":"doi:10.1109/acssc.2012.6488995","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2012.6488995","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 Conference Record of the Forty Sixth Asilomar Conference on Signals, Systems and Computers (ASILOMAR)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5002165448","display_name":"Jani Saloranta","orcid":"https://orcid.org/0000-0002-0553-6010"},"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":"Jani Saloranta","raw_affiliation_strings":["Centre for Wireless Communications, P.O.Box 4500, FI-90014 University of Oulu, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Wireless Communications, P.O.Box 4500, FI-90014 University of Oulu, Finland","institution_ids":["https://openalex.org/I98381234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009600398","display_name":"Stefano Severi","orcid":"https://orcid.org/0000-0003-4306-8294"},"institutions":[{"id":"https://openalex.org/I193619901","display_name":"Constructor University","ror":"https://ror.org/02yrs2n53","country_code":"DE","type":"education","lineage":["https://openalex.org/I193619901"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stefano Severi","raw_affiliation_strings":["School of Engineering & Science, Jacobs University Bremen, Campus Ring 1, 28759, Germany","School of Engineering and Science, Jacobs University Bremen, Campus Ring 1, 28759, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering & Science, Jacobs University Bremen, Campus Ring 1, 28759, Germany","institution_ids":["https://openalex.org/I193619901"]},{"raw_affiliation_string":"School of Engineering and Science, Jacobs University Bremen, Campus Ring 1, 28759, Germany#TAB#","institution_ids":["https://openalex.org/I193619901"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062896385","display_name":"Davide Macagnano","orcid":null},"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":"Davide Macagnano","raw_affiliation_strings":["Centre for Wireless Communications, P.O.Box 4500, FI-90014 University of Oulu, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Wireless Communications, P.O.Box 4500, FI-90014 University of 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/I193619901","display_name":"Constructor University","ror":"https://ror.org/02yrs2n53","country_code":"DE","type":"education","lineage":["https://openalex.org/I193619901"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Giuseppe Abreu","raw_affiliation_strings":["School of Engineering & Science, Jacobs University Bremen, Campus Ring 1, 28759, Germany","School of Engineering and Science, Jacobs University Bremen, Campus Ring 1, 28759, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering & Science, Jacobs University Bremen, Campus Ring 1, 28759, Germany","institution_ids":["https://openalex.org/I193619901"]},{"raw_affiliation_string":"School of Engineering and Science, Jacobs University Bremen, Campus Ring 1, 28759, Germany#TAB#","institution_ids":["https://openalex.org/I193619901"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"227","last_page":"231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":0.9998999834060669,"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":0.9998999834060669,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9929999709129333,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5759243965148926},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5571001768112183},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5564311146736145},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.550368070602417},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.516407310962677},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4723312258720398},{"id":"https://openalex.org/keywords/majorization","display_name":"Majorization","score":0.4678170382976532},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4567109942436218},{"id":"https://openalex.org/keywords/confidence-interval","display_name":"Confidence interval","score":0.4439620077610016},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4270434081554413},{"id":"https://openalex.org/keywords/fisher-information","display_name":"Fisher information","score":0.418061763048172},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41751405596733093},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3422357141971588},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24936726689338684},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.24169471859931946},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19355881214141846},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.12220683693885803}],"concepts":[{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5759243965148926},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5571001768112183},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5564311146736145},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.550368070602417},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.516407310962677},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4723312258720398},{"id":"https://openalex.org/C2777818330","wikidata":"https://www.wikidata.org/wiki/Q1994695","display_name":"Majorization","level":2,"score":0.4678170382976532},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4567109942436218},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.4439620077610016},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4270434081554413},{"id":"https://openalex.org/C29406490","wikidata":"https://www.wikidata.org/wiki/Q1420659","display_name":"Fisher information","level":2,"score":0.418061763048172},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41751405596733093},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3422357141971588},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24936726689338684},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24169471859931946},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19355881214141846},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.12220683693885803},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acssc.2012.6488995","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2012.6488995","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 Conference Record of the Forty Sixth Asilomar Conference on Signals, Systems and Computers (ASILOMAR)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W250076511","https://openalex.org/W1521294204","https://openalex.org/W1572498458","https://openalex.org/W1965673575","https://openalex.org/W1983874789","https://openalex.org/W1988543519","https://openalex.org/W1993436046","https://openalex.org/W2012197287","https://openalex.org/W2060857427","https://openalex.org/W2091790958","https://openalex.org/W2104264645","https://openalex.org/W2107376953","https://openalex.org/W2124178852","https://openalex.org/W2136333295","https://openalex.org/W2139090801","https://openalex.org/W2163513242"],"related_works":["https://openalex.org/W371413493","https://openalex.org/W1988514170","https://openalex.org/W4320039931","https://openalex.org/W4313303878","https://openalex.org/W4214702501","https://openalex.org/W2050374035","https://openalex.org/W2524413221","https://openalex.org/W4246164825","https://openalex.org/W1932856329","https://openalex.org/W1981103822"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,91],"introduce":[4],"the":[5,12,33,51,58,67,73,79,83,88,93,98,109,126],"concept":[6],"of":[7,14,25,53,60,115,132,139],"algebraic":[8,19,42],"confidence,":[9],"defined":[10],"as":[11,134,136],"measure":[13],"belief":[15],"provided":[16],"by":[17,31,63,113],"an":[18,41],"algorithm":[20,38,103,121,128],"without":[21,48],"a":[22],"priori":[23],"information":[24],"ranging":[26],"statistics.":[27],"This":[28],"is":[29,122],"obtained":[30],"employing":[32],"Circular-based":[34,99],"Interval":[35,100],"SMACOF":[36,101],"(CIS)":[37,102],"which":[39],"outputs":[40],"confidence":[43,62,85],"level":[44],"on":[45,50],"targets'":[46],"estimates,":[47],"relying":[49],"propagation":[52],"location":[54],"distributions.":[55],"We":[56],"illustrate":[57],"validity":[59],"our":[61],"comparing":[64],"it":[65],"to":[66,107,124],"Fisher":[68],"error":[69],"ellipses":[70],"derived":[71],"from":[72],"Cram\u00e9r-Rao":[74],"lower":[75],"bound":[76],"(CRLB),":[77],"corroborating":[78],"concept.":[80],"To":[81],"exploit":[82],"proposed":[84],"measures":[86],"during":[87],"optimization":[89,111],"process,":[90],"modify":[92],"cost":[94],"function":[95],"used":[96],"in":[97,130,137],"and":[104],"describe":[105],"how":[106],"solve":[108],"corresponding":[110],"problem":[112],"means":[114],"majorization":[116],"techniques.":[117],"The":[118],"resulting":[119],"CIS+":[120],"shown":[123],"outperform":[125],"CIS":[127],"both":[129],"terms":[131,138],"accuracy":[133],"well":[135],"computational":[140],"complexity.":[141]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}