{"id":"https://openalex.org/W4403848204","doi":"https://doi.org/10.1016/j.neunet.2024.106830","title":"Node classification in the heterophilic regime via diffusion-jump GNNs","display_name":"Node classification in the heterophilic regime via diffusion-jump GNNs","publication_year":2024,"publication_date":"2024-10-28","ids":{"openalex":"https://openalex.org/W4403848204","doi":"https://doi.org/10.1016/j.neunet.2024.106830","pmid":"https://pubmed.ncbi.nlm.nih.gov/39532013"},"language":"en","primary_location":{"id":"doi:10.1016/j.neunet.2024.106830","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.neunet.2024.106830","pdf_url":null,"source":{"id":"https://openalex.org/S123019304","display_name":"Neural Networks","issn_l":"0893-6080","issn":["0893-6080","1879-2782"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Networks","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.neunet.2024.106830","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034350635","display_name":"Ahmed Begga","orcid":"https://orcid.org/0009-0000-8733-2072"},"institutions":[{"id":"https://openalex.org/I130194489","display_name":"University of Alicante","ror":"https://ror.org/05t8bcz72","country_code":"ES","type":"education","lineage":["https://openalex.org/I130194489"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Ahmed Begga","raw_affiliation_strings":["Department of Computer Science and Artificial Intelligence, Alicante, Spain. Electronic address: ahmed.begga@ua.es"],"raw_orcid":"https://orcid.org/0009-0000-8733-2072","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Artificial Intelligence, Alicante, Spain. Electronic address: ahmed.begga@ua.es","institution_ids":["https://openalex.org/I130194489"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019943145","display_name":"Francisco Escolano","orcid":"https://orcid.org/0000-0003-3238-4021"},"institutions":[{"id":"https://openalex.org/I130194489","display_name":"University of Alicante","ror":"https://ror.org/05t8bcz72","country_code":"ES","type":"education","lineage":["https://openalex.org/I130194489"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Francisco Escolano","raw_affiliation_strings":["Department of Computer Science and Artificial Intelligence, Alicante, Spain. Electronic address: sco@ua.es"],"raw_orcid":"https://orcid.org/0000-0003-3238-4021","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Artificial Intelligence, Alicante, Spain. Electronic address: sco@ua.es","institution_ids":["https://openalex.org/I130194489"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038387675","display_name":"Miguel \u00c1ngel Lozano","orcid":"https://orcid.org/0000-0002-4757-5587"},"institutions":[{"id":"https://openalex.org/I130194489","display_name":"University of Alicante","ror":"https://ror.org/05t8bcz72","country_code":"ES","type":"education","lineage":["https://openalex.org/I130194489"]},{"id":"https://openalex.org/I4210131846","display_name":"Artificial Intelligence Research Institute","ror":"https://ror.org/03c0ach84","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210131846"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Miguel \u00c1ngel Lozano","raw_affiliation_strings":["Department of Computer Science and Artificial Intelligence, Alicante, Spain"],"raw_orcid":"https://orcid.org/0000-0002-4757-5587","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Artificial Intelligence, Alicante, Spain","institution_ids":["https://openalex.org/I130194489","https://openalex.org/I4210131846"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034350635"],"corresponding_institution_ids":["https://openalex.org/I130194489"],"apc_list":{"value":3350,"currency":"USD","value_usd":3350},"apc_paid":{"value":3350,"currency":"USD","value_usd":3350},"fwci":3.1646,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.92621241,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"181","issue":null,"first_page":"106830","last_page":"106830"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12676","display_name":"Machine Learning and ELM","score":0.9991000294685364,"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/T12676","display_name":"Machine Learning and ELM","score":0.9991000294685364,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9950000047683716,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.9930999875068665,"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/jump","display_name":"Jump","score":0.6710162162780762},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5571390390396118},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48418572545051575},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.46729782223701477},{"id":"https://openalex.org/keywords/jump-diffusion","display_name":"Jump diffusion","score":0.4252725839614868},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.40202295780181885},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.36074304580688477},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.34167325496673584},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3253564238548279},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17096775770187378},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.10075309872627258}],"concepts":[{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.6710162162780762},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5571390390396118},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48418572545051575},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.46729782223701477},{"id":"https://openalex.org/C2779664328","wikidata":"https://www.wikidata.org/wiki/Q6311158","display_name":"Jump diffusion","level":3,"score":0.4252725839614868},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.40202295780181885},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.36074304580688477},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.34167325496673584},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3253564238548279},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17096775770187378},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.10075309872627258},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004058","descriptor_name":"Diffusion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004058","descriptor_name":"Diffusion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004058","descriptor_name":"Diffusion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":3,"locations":[{"id":"doi:10.1016/j.neunet.2024.106830","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.neunet.2024.106830","pdf_url":null,"source":{"id":"https://openalex.org/S123019304","display_name":"Neural Networks","issn_l":"0893-6080","issn":["0893-6080","1879-2782"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Networks","raw_type":"journal-article"},{"id":"pmid:39532013","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39532013","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 networks : the official journal of the International Neural Network Society","raw_type":null},{"id":"pmh:oai:rua.ua.es:10045/148644","is_oa":true,"landing_page_url":"http://hdl.handle.net/10045/148644","pdf_url":null,"source":{"id":"https://openalex.org/S4306400416","display_name":"Repositorio Institucional de la Universidad de Alicante (Universidad de Alicante)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130194489","host_organization_name":"University of Alicante","host_organization_lineage":["https://openalex.org/I130194489"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1016/j.neunet.2024.106830","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.neunet.2024.106830","pdf_url":null,"source":{"id":"https://openalex.org/S123019304","display_name":"Neural Networks","issn_l":"0893-6080","issn":["0893-6080","1879-2782"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Networks","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3535368182","display_name":null,"funder_award_id":"PID2022-142516OB-I00","funder_id":"https://openalex.org/F4320310935","funder_display_name":"University of York"}],"funders":[{"id":"https://openalex.org/F4320310935","display_name":"University of York","ror":"https://ror.org/04m01e293"},{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W200434350","https://openalex.org/W1512522810","https://openalex.org/W1977806565","https://openalex.org/W2025335914","https://openalex.org/W2045512849","https://openalex.org/W2078801520","https://openalex.org/W2092144432","https://openalex.org/W2098089028","https://openalex.org/W2117684310","https://openalex.org/W2125637308","https://openalex.org/W2130354913","https://openalex.org/W2130470622","https://openalex.org/W2132914434","https://openalex.org/W2150256170","https://openalex.org/W2153959628","https://openalex.org/W2158281641","https://openalex.org/W2519887557","https://openalex.org/W2531563875","https://openalex.org/W2612690371","https://openalex.org/W2616870192","https://openalex.org/W2804057010","https://openalex.org/W2911880109","https://openalex.org/W2913251325","https://openalex.org/W2913668833","https://openalex.org/W2918342466","https://openalex.org/W2975868979","https://openalex.org/W3005644236","https://openalex.org/W3019011053","https://openalex.org/W3034492151","https://openalex.org/W3090016979","https://openalex.org/W3093814892","https://openalex.org/W3100078588","https://openalex.org/W3133744637","https://openalex.org/W3135100263","https://openalex.org/W3162380333","https://openalex.org/W3210034512","https://openalex.org/W3215707055","https://openalex.org/W4212774754","https://openalex.org/W4281698553","https://openalex.org/W4283020824","https://openalex.org/W4288101963","https://openalex.org/W4295312788","https://openalex.org/W4296551136","https://openalex.org/W4297733535","https://openalex.org/W4306705227","https://openalex.org/W4313706748","https://openalex.org/W4319323389","https://openalex.org/W4319453689","https://openalex.org/W4379473885","https://openalex.org/W4390144692","https://openalex.org/W4394647650","https://openalex.org/W6643390548","https://openalex.org/W6675024448","https://openalex.org/W6675685020","https://openalex.org/W6738964360","https://openalex.org/W6752746080","https://openalex.org/W6757634740","https://openalex.org/W6761659004","https://openalex.org/W6784484382","https://openalex.org/W6786169801","https://openalex.org/W6791149046","https://openalex.org/W6802872360","https://openalex.org/W6810236445"],"related_works":["https://openalex.org/W2648988829","https://openalex.org/W2507439616","https://openalex.org/W2998311464","https://openalex.org/W3124741583","https://openalex.org/W362430865","https://openalex.org/W2954755983","https://openalex.org/W2362743624","https://openalex.org/W3121278253","https://openalex.org/W3192755727","https://openalex.org/W2390566486"],"abstract_inverted_index":{"In":[0,38,56],"the":[1,11,15,20,66,69,72,78,105,134,138,143,156,160,178,182,223,246,251,260,263,284,304],"ideal":[2],"(homophilic)":[3],"regime":[4],"of":[5,19,31,54,65,71,80,115,145,177,248,250,273,286,302,316],"vanilla":[6],"GNNs,":[7],"nodes":[8,21,44,264],"belonging":[9],"to":[10,109,189,209,270,311],"same":[12,16],"community":[13],"have":[14,45,169],"label:":[17],"most":[18],"are":[22,127,219],"harmonic":[23],"(their":[24],"unknown":[25],"labels":[26],"result":[27,281],"from":[28,164,282],"averaging":[29],"those":[30],"their":[32],"neighbors":[33],"given":[34],"some":[35],"labeled":[36],"nodes).":[37],"other":[39],"words,":[40],"heterophily":[41,101,242],"(when":[42],"neighboring":[43],"different":[46],"labels)":[47],"can":[48],"be":[49],"seen":[50],"as":[51,118,245],"a":[52,92,130,170,193,201,313],"\u201closs":[53],"harmonicity\u201d.":[55],"this":[57,146],"paper,":[58],"we":[59,153,173,218,306],"define":[60,241],"\u201cstructural":[61,161],"heterophily\u201d":[62],"in":[63,107,129,227,233,243,309],"terms":[64],"ratio":[67],"between":[68,192,262],"harmonicity":[70,79,249],"network":[73,106],"(Laplacian":[74],"Dirichlet":[75,194],"energy)":[76],"and":[77,159,200,229],"its":[81],"homophilic":[82,228],"version":[83],"(the":[84],"so-called":[85],"\u201cground\u201d":[86],"energy).":[87],"This":[88,187],"new":[89],"measure":[90],"inspires":[91],"novel":[93],"GNN":[94],"model":[95],"(Diffusion-Jump":[96],"GNN)":[97],"that":[98,152,206,217],"bypasses":[99],"structural":[100,131],"by":[102],"\u201cjumping\u201d":[103],"through":[104],"order":[108,310],"relate":[110],"distant":[111],"homologs.":[112],"However,":[113],"instead":[114,272],"using":[116],"hops":[117],"standard":[119],"High-Order":[120,257],"(HO)":[121],"GNNs":[122,255,258],"(MixHop)":[123],"do,":[124],"our":[125,213],"jumps":[126],"rooted":[128],"well-known":[132],"metric:":[133],"diffusion":[135,157,167,267,287,317],"distance.":[136],"Computing":[137],"\u201cdiffusion":[139],"matrix\u201d":[140],"(DM)":[141],"is":[142,151,185,294],"core":[144],"method.":[147],"Our":[148],"main":[149],"contribution":[150],"learn":[154,174,307],"both":[155,226],"distances":[158,168,261,268,288],"filters\u201d":[162],"derived":[163],"them.":[165],"Since":[166],"spectral":[171,314],"interpretation,":[172],"orthogonal":[175],"approximations":[176],"Laplacian":[179],"eigenvectors":[180],"while":[181],"prediction":[183,202],"loss":[184,203,247],"minimized.":[186],"leads":[188],"an":[190],"interplay":[191],"loss,":[195],"which":[196,204],"captures":[197],"low-frequency":[198],"content,":[199],"refines":[205],"content":[207],"leading":[208],"empirical":[210],"eigenfunctions.":[211],"Finally,":[212],"experimental":[214],"results":[215],"show":[216],"very":[220],"competitive":[221],"with":[222],"State-Of-the-Art":[224],"(SOTA)":[225],"heterophilic":[230],"datasets,":[231],"even":[232],"large":[234],"graphs.":[235],"\u2022":[236,253,275,297],"Structural":[237,277],"Heterophily":[238],".":[239,256,279,300],"We":[240],"graphs":[244],"labeling.":[252],"Diffusion-Jump":[254],"where":[259],"rely":[265],"on":[266],"(leading":[269],"\u201cjumps\u201d)":[271],"hops.":[274],"Learnable":[276],"Filters":[278],"Jumps":[280],"slicing":[283,293],"matrix":[285,290],"(diffusion":[289],"DM).":[291],"Such":[292],"fully":[295],"learnable.":[296],"Empirical":[298],"Eigenfunctions":[299],"Instead":[301],"computing":[303],"eigenvectors,":[305],"them":[308],"provide":[312],"approximation":[315],"distances.":[318]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}