{"id":"https://openalex.org/W2162203316","doi":"https://doi.org/10.1162/089976698300017188","title":"An Energy Function and Continuous Edit Process for Graph Matching","display_name":"An Energy Function and Continuous Edit Process for Graph Matching","publication_year":1998,"publication_date":"1998-10-01","ids":{"openalex":"https://openalex.org/W2162203316","doi":"https://doi.org/10.1162/089976698300017188","mag":"2162203316","pmid":"https://pubmed.ncbi.nlm.nih.gov/9744902"},"language":"en","primary_location":{"id":"doi:10.1162/089976698300017188","is_oa":false,"landing_page_url":"https://doi.org/10.1162/089976698300017188","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5081198426","display_name":"Andrew Finch","orcid":"https://orcid.org/0000-0002-7067-7098"},"institutions":[{"id":"https://openalex.org/I52099693","display_name":"University of York","ror":"https://ror.org/04m01e293","country_code":"GB","type":"education","lineage":["https://openalex.org/I52099693"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Andrew M. Finch","raw_affiliation_strings":["Department of Computer Science, University of York, York, Y01 5DD, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of York, York, Y01 5DD, U.K","institution_ids":["https://openalex.org/I52099693"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032741413","display_name":"Richard C. Wilson","orcid":"https://orcid.org/0000-0001-7265-3033"},"institutions":[{"id":"https://openalex.org/I52099693","display_name":"University of York","ror":"https://ror.org/04m01e293","country_code":"GB","type":"education","lineage":["https://openalex.org/I52099693"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Richard C. Wilson","raw_affiliation_strings":["Department of Computer Science, University of York, York, Y01 5DD, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of York, York, Y01 5DD, U.K","institution_ids":["https://openalex.org/I52099693"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074364400","display_name":"Edwin R. Hancock","orcid":"https://orcid.org/0000-0003-4496-2028"},"institutions":[{"id":"https://openalex.org/I52099693","display_name":"University of York","ror":"https://ror.org/04m01e293","country_code":"GB","type":"education","lineage":["https://openalex.org/I52099693"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Edwin R. Hancock","raw_affiliation_strings":["Department of Computer Science, University of York, York, Y01 5DD, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of York, York, Y01 5DD, U.K","institution_ids":["https://openalex.org/I52099693"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5081198426"],"corresponding_institution_ids":["https://openalex.org/I52099693"],"apc_list":null,"apc_paid":null,"fwci":2.9764,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.91936913,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"10","issue":"7","first_page":"1873","last_page":"1894"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12292","display_name":"Graph Theory and Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9975000023841858,"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":0.5566307306289673},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.5188739895820618},{"id":"https://openalex.org/keywords/ansatz","display_name":"Ansatz","score":0.5111294388771057},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48629817366600037},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48000067472457886},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.45520806312561035},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.43315589427948},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.426937460899353},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38200613856315613},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3219640254974365},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09698164463043213}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5566307306289673},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.5188739895820618},{"id":"https://openalex.org/C130979935","wikidata":"https://www.wikidata.org/wiki/Q568954","display_name":"Ansatz","level":2,"score":0.5111294388771057},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48629817366600037},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48000067472457886},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.45520806312561035},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.43315589427948},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.426937460899353},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38200613856315613},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3219640254974365},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09698164463043213},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1162/089976698300017188","is_oa":false,"landing_page_url":"https://doi.org/10.1162/089976698300017188","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},{"id":"pmid:9744902","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/9744902","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural computation","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.9100000262260437,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1971105294","https://openalex.org/W1971126052","https://openalex.org/W1974318365","https://openalex.org/W1982399963","https://openalex.org/W1982647060","https://openalex.org/W1985850469","https://openalex.org/W2003115247","https://openalex.org/W2010541316","https://openalex.org/W2014910581","https://openalex.org/W2020999234","https://openalex.org/W2024060531","https://openalex.org/W2026799324","https://openalex.org/W2035143052","https://openalex.org/W2061614302","https://openalex.org/W2074393239","https://openalex.org/W2077990749","https://openalex.org/W2098109165","https://openalex.org/W2100923606","https://openalex.org/W2104163628","https://openalex.org/W2114209912","https://openalex.org/W2121166176","https://openalex.org/W2128566668","https://openalex.org/W2133277031","https://openalex.org/W2136087206","https://openalex.org/W2140766383","https://openalex.org/W2148141929","https://openalex.org/W2156026918","https://openalex.org/W2159537329","https://openalex.org/W2159995877","https://openalex.org/W2165835775","https://openalex.org/W2170612190","https://openalex.org/W2170859376","https://openalex.org/W2913192828","https://openalex.org/W2914338616","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2943247777","https://openalex.org/W2740543340","https://openalex.org/W2371167013","https://openalex.org/W1582340598","https://openalex.org/W1541021634","https://openalex.org/W2779867339","https://openalex.org/W2794545997","https://openalex.org/W2584980534","https://openalex.org/W2182731056","https://openalex.org/W66917582"],"abstract_inverted_index":{"The":[0,18,78,142,166],"contributions":[1],"of":[2,34,37,61,74,111,127,135,153],"this":[3],"article":[4],"are":[5,96],"twofold.":[6],"First,":[7],"we":[8,103,116],"develop":[9],"a":[10,22,32,71,118,147],"new":[11,66],"nonquadratic":[12,100],"energy":[13,67,101,113],"function":[14,60,68],"for":[15,98],"graph":[16,42,75,128,138,156],"matching.":[17],"starting":[19],"point":[20],"is":[21,69,81,144,168,172],"recently":[23],"reported":[24],"mixture":[25,53],"model":[26,54],"that":[27],"gauges":[28],"relational":[29],"consistency":[30],"using":[31],"series":[33],"exponential":[35],"functions":[36],"the":[38,46,52,57,91,105,109,122,132,136,151,154],"Hamming":[39,76],"distances":[40],"between":[41],"neighborhoods.":[43],"We":[44],"compute":[45],"effective":[47],"neighborhood":[48],"potentials":[49],"associated":[50],"with":[51],"by":[55,85,130,149],"identifying":[56],"single":[58],"probability":[59],"zero":[62],"Kullback":[63],"divergence.":[64],"This":[65],"simply":[70],"weighted":[72],"sum":[73],"distances.":[77],"second":[79],"contribution":[80],"to":[82,108,139,145,162,174],"locate":[83],"matches":[84],"graduated":[86,124],"assignment.":[87],"Rather":[88],"than":[89],"solving":[90],"mean-field":[92],"saddle-point":[93],"equations,":[94],"which":[95,150],"intractable":[97],"our":[99,112],"function,":[102],"apply":[104],"soft-assign":[106],"ansatz":[107],"derivatives":[110],"function.":[114],"Here":[115],"introduce":[117],"novel":[119],"departure":[120],"from":[121],"standard":[123],"assignment":[125],"formulation":[126],"matching":[129],"allowing":[131],"connection":[133],"strengths":[134],"data":[137,155],"update":[140],"themselves.":[141],"aim":[143],"provide":[146],"means":[148],"structure":[152],"can":[157],"be":[158],"updated":[159],"so":[160],"as":[161],"rectify":[163],"structural":[164],"errors.":[165],"method":[167],"evaluated":[169],"experimentally":[170],"and":[171],"shown":[173],"outperform":[175],"its":[176],"quadratic":[177],"counterpart.":[178]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-02-24T19:35:01.260952","created_date":"2016-06-24T00:00:00"}
