{"id":"https://openalex.org/W2127875206","doi":"https://doi.org/10.1109/iros.2007.4399072","title":"Decentralised data fusion with exponentials of polynomials","display_name":"Decentralised data fusion with exponentials of polynomials","publication_year":2007,"publication_date":"2007-10-01","ids":{"openalex":"https://openalex.org/W2127875206","doi":"https://doi.org/10.1109/iros.2007.4399072","mag":"2127875206"},"language":"en","primary_location":{"id":"doi:10.1109/iros.2007.4399072","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iros.2007.4399072","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE/RSJ International Conference on Intelligent Robots and Systems","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/A5083693720","display_name":"Bradley Tonkes","orcid":null},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Bradley Tonkes","raw_affiliation_strings":["ARC Centre for Autonomous Systems and the School of Computer Science and Engineering, University of New South Wales, NSW, Australia","University of New South Wales , Kensington"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ARC Centre for Autonomous Systems and the School of Computer Science and Engineering, University of New South Wales, NSW, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"University of New South Wales , Kensington","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033143541","display_name":"Alan Blair","orcid":"https://orcid.org/0000-0002-1039-4766"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Alan D. Blair","raw_affiliation_strings":["ARC Centre for Autonomous Systems and the School of Computer Science and Engineering, University of New South Wales, NSW, Australia","University of New South Wales , Kensington"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ARC Centre for Autonomous Systems and the School of Computer Science and Engineering, University of New South Wales, NSW, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"University of New South Wales , Kensington","institution_ids":["https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I31746571"],"apc_list":null,"apc_paid":null,"fwci":0.2226,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.48903408,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"140","issue":null,"first_page":"3727","last_page":"3732"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9998000264167786,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9937999844551086,"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":0.9891999959945679,"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/transformation","display_name":"Transformation (genetics)","score":0.5322567820549011},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5311644673347473},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5075975656509399},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.49058642983436584},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48461732268333435},{"id":"https://openalex.org/keywords/sensor-fusion","display_name":"Sensor fusion","score":0.48260223865509033},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4745940864086151},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.455422580242157},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.450989305973053},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.43565812706947327},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43114349246025085},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.4190003275871277},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41600751876831055},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.4143106937408447},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38786715269088745},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36112624406814575},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3502013087272644},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23125818371772766},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2264116108417511},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15856128931045532},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13795346021652222},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10018187761306763}],"concepts":[{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5322567820549011},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5311644673347473},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5075975656509399},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.49058642983436584},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48461732268333435},{"id":"https://openalex.org/C33954974","wikidata":"https://www.wikidata.org/wiki/Q486494","display_name":"Sensor fusion","level":2,"score":0.48260223865509033},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4745940864086151},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.455422580242157},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.450989305973053},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.43565812706947327},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43114349246025085},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4190003275871277},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41600751876831055},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.4143106937408447},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38786715269088745},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36112624406814575},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3502013087272644},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23125818371772766},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2264116108417511},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15856128931045532},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13795346021652222},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10018187761306763},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/iros.2007.4399072","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iros.2007.4399072","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE/RSJ International Conference on Intelligent Robots and Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.412.2094","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.412.2094","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cse.unsw.edu.au/~blair/pubs/2007TonkesBlairIROS.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W84169795","https://openalex.org/W1537690864","https://openalex.org/W1573082642","https://openalex.org/W2030935194","https://openalex.org/W2053668828","https://openalex.org/W2098613108","https://openalex.org/W2104643901","https://openalex.org/W2111968318","https://openalex.org/W2118020555","https://openalex.org/W2129078811","https://openalex.org/W2138309709","https://openalex.org/W2148228392","https://openalex.org/W2148234182","https://openalex.org/W2173782939","https://openalex.org/W2541763035","https://openalex.org/W6603387165","https://openalex.org/W6674763107"],"related_works":["https://openalex.org/W3093936885","https://openalex.org/W2994146737","https://openalex.org/W295308437","https://openalex.org/W4300066510","https://openalex.org/W4213259725","https://openalex.org/W2056958800","https://openalex.org/W4311388919","https://openalex.org/W1964490787","https://openalex.org/W2060696366","https://openalex.org/W2154788797"],"abstract_inverted_index":{"We":[0],"demonstrate":[1,44],"applicability":[2],"of":[3,7,12,41,66],"a":[4,70],"general":[5],"class":[6,40],"multivariate":[8],"probability":[9],"density":[10],"functions":[11],"the":[13,34,45,64],"form":[14],"e-P(x),":[15],"where":[16],"P(x)":[17],"is":[18],"an":[19,31],"elliptic":[20],"polynomial,":[21],"to":[22,33,76],"decentralised":[23,71],"data":[24],"fusion":[25],"tasks.":[26],"In":[27],"particular,":[28],"we":[29],"derive":[30],"extension":[32],"covariance":[35],"Intersect":[36],"algorithm":[37],"for":[38,55],"this":[39],"distributions":[42],"and":[43,51],"necessary":[46],"operations":[47,68],"-":[48,54],"diffusion,":[49],"multiplication":[50],"linear":[52],"transformation":[53],"Bayesian":[56],"operations.":[57],"A":[58],"simulated":[59],"target":[60],"tracking":[61],"application":[62],"demonstrates":[63],"use":[65],"these":[67],"in":[69],"scenario,":[72],"employing":[73],"range-only":[74],"sensing":[75],"show":[77],"their":[78],"generality":[79],"beyond":[80],"Gaussian":[81],"representations.":[82]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}