{"id":"https://openalex.org/W3192328406","doi":"https://doi.org/10.23919/eusipco54536.2021.9616184","title":"Homotopy Continuation for Sensor Networks Self-Calibration","display_name":"Homotopy Continuation for Sensor Networks Self-Calibration","publication_year":2021,"publication_date":"2021-08-23","ids":{"openalex":"https://openalex.org/W3192328406","doi":"https://doi.org/10.23919/eusipco54536.2021.9616184","mag":"3192328406"},"language":"en","primary_location":{"id":"doi:10.23919/eusipco54536.2021.9616184","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco54536.2021.9616184","pdf_url":null,"source":{"id":"https://openalex.org/S4363607854","display_name":"2021 29th European Signal Processing Conference (EUSIPCO)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 29th European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://eurasip.org/Proceedings/Eusipco/Eusipco2021/pdfs/0001725.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074228687","display_name":"Luca Ferranti","orcid":"https://orcid.org/0000-0001-5588-0920"},"institutions":[{"id":"https://openalex.org/I79765343","display_name":"University of Vaasa","ror":"https://ror.org/03769b225","country_code":"FI","type":"education","lineage":["https://openalex.org/I79765343"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Luca Ferranti","raw_affiliation_strings":["University of Vaasa, Vaasa, Finland"],"affiliations":[{"raw_affiliation_string":"University of Vaasa, Vaasa, Finland","institution_ids":["https://openalex.org/I79765343"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068985335","display_name":"Kalle \u00c5str\u00f6m","orcid":"https://orcid.org/0000-0002-8689-7810"},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Kalle Astrom","raw_affiliation_strings":["Lund University, Lund, Sweden"],"affiliations":[{"raw_affiliation_string":"Lund University, Lund, Sweden","institution_ids":["https://openalex.org/I187531555"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026331205","display_name":"Magnus Oskarsson","orcid":"https://orcid.org/0000-0002-1789-8094"},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Magnus Oskarsson","raw_affiliation_strings":["Lund University, Lund, Sweden"],"affiliations":[{"raw_affiliation_string":"Lund University, Lund, Sweden","institution_ids":["https://openalex.org/I187531555"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077772076","display_name":"Jani Boutellier","orcid":"https://orcid.org/0000-0001-7606-3655"},"institutions":[{"id":"https://openalex.org/I79765343","display_name":"University of Vaasa","ror":"https://ror.org/03769b225","country_code":"FI","type":"education","lineage":["https://openalex.org/I79765343"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Jani Boutellier","raw_affiliation_strings":["University of Vaasa, Vaasa, Finland"],"affiliations":[{"raw_affiliation_string":"University of Vaasa, Vaasa, Finland","institution_ids":["https://openalex.org/I79765343"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057931031","display_name":"Juho Kannala","orcid":"https://orcid.org/0000-0001-5088-4041"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Juho Kannala","raw_affiliation_strings":["Aalto University, Espoo, Finland"],"affiliations":[{"raw_affiliation_string":"Aalto University, Espoo, Finland","institution_ids":["https://openalex.org/I9927081"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5074228687"],"corresponding_institution_ids":["https://openalex.org/I79765343"],"apc_list":null,"apc_paid":null,"fwci":1.3005,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.74009451,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1725","last_page":"1729"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":0.9945999979972839,"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":0.9945999979972839,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9703999757766724,"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/T10936","display_name":"Millimeter-Wave Propagation and Modeling","score":0.9592999815940857,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.822509765625},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.6727286577224731},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6162116527557373},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5828555822372437},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5819999575614929},{"id":"https://openalex.org/keywords/calibration","display_name":"Calibration","score":0.5474952459335327},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5115407705307007},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.49799180030822754},{"id":"https://openalex.org/keywords/continuation","display_name":"Continuation","score":0.4845234751701355},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46168628334999084},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4379871189594269},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.43360036611557007},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3625785708427429},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35473865270614624},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32559552788734436},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10794341564178467},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08096668124198914}],"concepts":[{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.822509765625},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.6727286577224731},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6162116527557373},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5828555822372437},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5819999575614929},{"id":"https://openalex.org/C165838908","wikidata":"https://www.wikidata.org/wiki/Q736777","display_name":"Calibration","level":2,"score":0.5474952459335327},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5115407705307007},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.49799180030822754},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.4845234751701355},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46168628334999084},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4379871189594269},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.43360036611557007},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3625785708427429},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35473865270614624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32559552788734436},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10794341564178467},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08096668124198914},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.23919/eusipco54536.2021.9616184","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco54536.2021.9616184","pdf_url":null,"source":{"id":"https://openalex.org/S4363607854","display_name":"2021 29th European Signal Processing Conference (EUSIPCO)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 29th European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"},{"id":"pmh:oai:aaltodoc.aalto.fi:123456789/112520","is_oa":true,"landing_page_url":"https://research.aalto.fi/en/publications/276e33d1-0a0c-4943-b87d-d8afe4486394","pdf_url":"https://eurasip.org/Proceedings/Eusipco/Eusipco2021/pdfs/0001725.pdf","source":{"id":"https://openalex.org/S4306401662","display_name":"Aaltodoc (Aalto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9927081","host_organization_name":"Aalto University","host_organization_lineage":["https://openalex.org/I9927081"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},{"id":"pmh:oai:lup.lub.lu.se:80074729-1c3d-46dd-88aa-174cf2dffa71","is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/80074729-1c3d-46dd-88aa-174cf2dffa71","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 2219-5491","raw_type":"text"},{"id":"pmh:oai:osuva.uwasa.fi:10024/13416","is_oa":false,"landing_page_url":"https://osuva.uwasa.fi/handle/10024/13416","pdf_url":null,"source":{"id":"https://openalex.org/S4306400974","display_name":"Osuva (University of Vaasa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79765343","host_organization_name":"University of Vaasa","host_organization_lineage":["https://openalex.org/I79765343"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:aaltodoc.aalto.fi:123456789/112520","is_oa":true,"landing_page_url":"https://research.aalto.fi/en/publications/276e33d1-0a0c-4943-b87d-d8afe4486394","pdf_url":"https://eurasip.org/Proceedings/Eusipco/Eusipco2021/pdfs/0001725.pdf","source":{"id":"https://openalex.org/S4306401662","display_name":"Aaltodoc (Aalto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9927081","host_organization_name":"Aalto University","host_organization_lineage":["https://openalex.org/I9927081"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},"sustainable_development_goals":[{"score":0.5,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[{"id":"https://openalex.org/G6601413276","display_name":null,"funder_award_id":"327912","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"}],"funders":[{"id":"https://openalex.org/F4320321108","display_name":"Academy of Finland","ror":"https://ror.org/05k73zm37"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3192328406.pdf","grobid_xml":"https://content.openalex.org/works/W3192328406.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W1483218536","https://openalex.org/W1579732497","https://openalex.org/W1608655332","https://openalex.org/W1682364964","https://openalex.org/W1728679934","https://openalex.org/W1740452793","https://openalex.org/W1970495007","https://openalex.org/W1985215368","https://openalex.org/W1989923040","https://openalex.org/W1998895174","https://openalex.org/W2077461965","https://openalex.org/W2097558167","https://openalex.org/W2104689338","https://openalex.org/W2114539221","https://openalex.org/W2120273661","https://openalex.org/W2124722093","https://openalex.org/W2130326036","https://openalex.org/W2132476962","https://openalex.org/W2140147750","https://openalex.org/W2161103423","https://openalex.org/W2168793017","https://openalex.org/W2171271990","https://openalex.org/W2171534739","https://openalex.org/W2239696912","https://openalex.org/W2417298730","https://openalex.org/W2553901060","https://openalex.org/W2559886345","https://openalex.org/W2737777105","https://openalex.org/W2806263336","https://openalex.org/W2939723722","https://openalex.org/W3011513680","https://openalex.org/W3015744224","https://openalex.org/W3027407917","https://openalex.org/W3034708066","https://openalex.org/W3163660646","https://openalex.org/W4238102028","https://openalex.org/W4292096448","https://openalex.org/W6637306354","https://openalex.org/W6637790499","https://openalex.org/W6684842208","https://openalex.org/W6689930645","https://openalex.org/W6752786118"],"related_works":["https://openalex.org/W3204184292","https://openalex.org/W3176564347","https://openalex.org/W2355833770","https://openalex.org/W1985458517","https://openalex.org/W3031039437","https://openalex.org/W183202219","https://openalex.org/W3095877357","https://openalex.org/W2072565696","https://openalex.org/W2050451745","https://openalex.org/W2378903222"],"abstract_inverted_index":{"Given":[0],"a":[1,25,115,119,142],"sensor":[2,191],"network,":[3],"TDOA":[4,112],"self-calibration":[5],"aims":[6],"at":[7],"simultaneously":[8],"estimating":[9],"the":[10,32,38,41,124,129,185],"positions":[11],"of":[12,27,35,40,126,128,187],"receivers":[13],"and":[14,16,37,61,78,174],"transmitters,":[15],"transmitters":[17],"time":[18],"offsets.":[19],"This":[20],"can":[21,64,153],"be":[22,154],"formulated":[23],"as":[24],"system":[26],"polynomial":[28],"equations.":[29],"Due":[30],"to":[31,59,66,104,156,197],"elevated":[33],"number":[34,125],"unknowns":[36],"nonlinearity":[39],"problem,":[42],"obtaining":[43],"an":[44],"accurate":[45,159],"solution":[46],"efficiently":[47],"is":[48,135],"nontrivial.":[49],"Previous":[50],"work":[51,93],"has":[52,72],"shown":[53],"that":[54],"iterative":[55],"algorithms":[56],"are":[57,169],"sensitive":[58],"initialization":[60],"little":[62],"noise":[63],"lead":[65],"failure":[67],"in":[68,110,161],"convergence.":[69],"Hence,":[70],"research":[71],"focused":[73],"on":[74],"algebraic":[75,80],"techniques.":[76],"Stable":[77],"efficient":[79],"solvers":[81,168],"have":[82],"been":[83],"proposed":[84],"for":[85,94,190],"some":[86],"network":[87,192],"configurations,":[88],"but":[89],"they":[90],"do":[91],"not":[92],"smaller":[95],"networks.":[96],"In":[97],"this":[98,134],"paper,":[99],"we":[100,122,146,183],"use":[101],"homotopy":[102,188],"continuation":[103,189],"solve":[105],"four":[106],"previously":[107,162],"unsolved":[108],"configurations":[109],"2D":[111],"self-calibration,":[113],"including":[114],"minimal":[116,131],"one.":[117],"As":[118,141],"theoretical":[120],"contribution,":[121,145],"investigate":[123],"solutions":[127,160],"new":[130,149,198],"configuration,":[132],"showing":[133],"much":[136],"lower":[137],"than":[138],"previous":[139],"estimates.":[140],"more":[143],"practical":[144],"also":[147],"present":[148],"subminimal":[150],"solvers,":[151],"which":[152],"used":[155],"achieve":[157],"unique":[158],"unsolvable":[163],"configurations.":[164],"We":[165],"demonstrate":[166,184],"our":[167],"stable":[170],"both":[171],"with":[172],"clean":[173],"noisy":[175],"data,":[176],"even":[177],"without":[178],"nonlinear":[179],"refinement":[180],"afterwards.":[181],"Moreover,":[182],"suitability":[186],"calibration":[193],"problems,":[194],"opening":[195],"prospects":[196],"applications.":[199]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}