{"id":"https://openalex.org/W4412875475","doi":"https://doi.org/10.1145/3711896.3736559","title":"Graph ODEs and Beyond: A Comprehensive Survey on Integrating Differential Equations with Graph Neural Networks","display_name":"Graph ODEs and Beyond: A Comprehensive Survey on Integrating Differential Equations with Graph Neural Networks","publication_year":2025,"publication_date":"2025-08-03","ids":{"openalex":"https://openalex.org/W4412875475","doi":"https://doi.org/10.1145/3711896.3736559","pmid":"https://pubmed.ncbi.nlm.nih.gov/40838043"},"language":"en","primary_location":{"id":"doi:10.1145/3711896.3736559","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3711896.3736559","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3711896.3736559","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 31st ACM SIGKDD Conference on Knowledge Discovery and Data Mining V.2","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3711896.3736559","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111547900","display_name":"Zewen Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zewen Liu","raw_affiliation_strings":["Emory University, Atlanta, Georgia, USA"],"raw_orcid":"https://orcid.org/0009-0001-1147-4274","affiliations":[{"raw_affiliation_string":"Emory University, Atlanta, Georgia, USA","institution_ids":["https://openalex.org/I150468666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067754530","display_name":"Xiaoda Wang","orcid":"https://orcid.org/0009-0007-8322-2037"},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaoda Wang","raw_affiliation_strings":["Emory University, Atlanta, Georgia, USA"],"raw_orcid":"https://orcid.org/0009-0007-8322-2037","affiliations":[{"raw_affiliation_string":"Emory University, Atlanta, Georgia, USA","institution_ids":["https://openalex.org/I150468666"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Bohan Wang","orcid":"https://orcid.org/0009-0006-8781-2379"},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bohan Wang","raw_affiliation_strings":["Emory University, Atlanta, Georgia, USA"],"raw_orcid":"https://orcid.org/0009-0006-8781-2379","affiliations":[{"raw_affiliation_string":"Emory University, Atlanta, Georgia, USA","institution_ids":["https://openalex.org/I150468666"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Zijie Huang","orcid":"https://orcid.org/0009-0008-1263-9270"},"institutions":[{"id":"https://openalex.org/I1311688040","display_name":"Amazon (United States)","ror":"https://ror.org/04mv4n011","country_code":"US","type":"company","lineage":["https://openalex.org/I1311688040"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zijie Huang","raw_affiliation_strings":["Amazon, Los Angeles, California, USA"],"raw_orcid":"https://orcid.org/0009-0008-1263-9270","affiliations":[{"raw_affiliation_string":"Amazon, Los Angeles, California, USA","institution_ids":["https://openalex.org/I1311688040"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006897094","display_name":"Carl Yang","orcid":"https://orcid.org/0000-0001-9145-4531"},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Carl Yang","raw_affiliation_strings":["Emory University, Atlanta, Georgia, USA"],"raw_orcid":"https://orcid.org/0000-0001-9145-4531","affiliations":[{"raw_affiliation_string":"Emory University, Atlanta, Georgia, USA","institution_ids":["https://openalex.org/I150468666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100758371","display_name":"Wei Jin","orcid":"https://orcid.org/0000-0002-5054-954X"},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wei Jin","raw_affiliation_strings":["Emory University, Atlanta, Georgia, USA"],"raw_orcid":"https://orcid.org/0000-0002-5054-954X","affiliations":[{"raw_affiliation_string":"Emory University, Atlanta, Georgia, USA","institution_ids":["https://openalex.org/I150468666"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.8461,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.97057295,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"2025","issue":null,"first_page":"6118","last_page":"6128"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.963100016117096,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.963100016117096,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11344","display_name":"Traffic Prediction and Management Techniques","score":0.9556000232696533,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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/T13650","display_name":"Computational Physics and Python Applications","score":0.9344000220298767,"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/computer-science","display_name":"Computer science","score":0.5831164121627808},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.544135332107544},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.4492161273956299},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4408129155635834},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4348447024822235},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2535809278488159},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2450929582118988},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.16186070442199707}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5831164121627808},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.544135332107544},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.4492161273956299},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4408129155635834},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4348447024822235},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2535809278488159},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2450929582118988},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.16186070442199707}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/3711896.3736559","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3711896.3736559","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3711896.3736559","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 31st ACM SIGKDD Conference on Knowledge Discovery and Data Mining V.2","raw_type":"proceedings-article"},{"id":"pmid:40838043","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40838043","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":"KDD : proceedings. International Conference on Knowledge Discovery & Data Mining","raw_type":null},{"id":"pmh:oai:europepmc.org:11388784","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/12363673","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"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":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:12363673","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12363673/","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"KDD","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1145/3711896.3736559","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3711896.3736559","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3711896.3736559","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 31st ACM SIGKDD Conference on Knowledge Discovery and Data Mining V.2","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3976953568","display_name":null,"funder_award_id":"K25DK135913","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G4799811874","display_name":null,"funder_award_id":"2319449","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337355","display_name":"National Institute of Allergy and Infectious Diseases","ror":"https://ror.org/043z4tv69"},{"id":"https://openalex.org/F4320337357","display_name":"National Institute of Diabetes and Digestive and Kidney Diseases","ror":"https://ror.org/00adh9b73"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4412875475.pdf","grobid_xml":"https://content.openalex.org/works/W4412875475.grobid-xml"},"referenced_works_count":93,"referenced_works":["https://openalex.org/W1587799944","https://openalex.org/W1595004151","https://openalex.org/W1968086990","https://openalex.org/W2061423359","https://openalex.org/W2064620942","https://openalex.org/W2065960630","https://openalex.org/W2194775991","https://openalex.org/W2604738573","https://openalex.org/W2741951152","https://openalex.org/W2747329762","https://openalex.org/W2766357476","https://openalex.org/W2803629276","https://openalex.org/W2808746463","https://openalex.org/W2892880750","https://openalex.org/W2966501701","https://openalex.org/W2975784920","https://openalex.org/W2990138404","https://openalex.org/W3008759432","https://openalex.org/W3015865829","https://openalex.org/W3022165290","https://openalex.org/W3027429260","https://openalex.org/W3035431334","https://openalex.org/W3037727996","https://openalex.org/W3098168339","https://openalex.org/W3125676075","https://openalex.org/W3139820106","https://openalex.org/W3162402566","https://openalex.org/W3170140111","https://openalex.org/W3170848208","https://openalex.org/W3179255212","https://openalex.org/W3204466930","https://openalex.org/W3208747044","https://openalex.org/W3211666987","https://openalex.org/W3215817997","https://openalex.org/W4221141439","https://openalex.org/W4221161486","https://openalex.org/W4225090121","https://openalex.org/W4225157025","https://openalex.org/W4226481906","https://openalex.org/W4283700788","https://openalex.org/W4283800658","https://openalex.org/W4290876516","https://openalex.org/W4296414251","https://openalex.org/W4309302775","https://openalex.org/W4310895557","https://openalex.org/W4321770487","https://openalex.org/W4327857443","https://openalex.org/W4360982173","https://openalex.org/W4366429305","https://openalex.org/W4367628371","https://openalex.org/W4377086541","https://openalex.org/W4377865108","https://openalex.org/W4378942322","https://openalex.org/W4382239767","https://openalex.org/W4385484590","https://openalex.org/W4385565129","https://openalex.org/W4387561063","https://openalex.org/W4388478755","https://openalex.org/W4388627292","https://openalex.org/W4388748075","https://openalex.org/W4388787344","https://openalex.org/W4388915548","https://openalex.org/W4390534655","https://openalex.org/W4391157420","https://openalex.org/W4391325406","https://openalex.org/W4391528747","https://openalex.org/W4392251542","https://openalex.org/W4392563029","https://openalex.org/W4393156961","https://openalex.org/W4394625717","https://openalex.org/W4395450059","https://openalex.org/W4395469839","https://openalex.org/W4396735935","https://openalex.org/W4396757566","https://openalex.org/W4398181022","https://openalex.org/W4400037855","https://openalex.org/W4400447734","https://openalex.org/W4400594265","https://openalex.org/W4401396180","https://openalex.org/W4401694058","https://openalex.org/W4401863416","https://openalex.org/W4401863516","https://openalex.org/W4404069928","https://openalex.org/W6675061135","https://openalex.org/W6760001035","https://openalex.org/W6770064641","https://openalex.org/W6792561133","https://openalex.org/W6796097400","https://openalex.org/W6796489620","https://openalex.org/W6802433612","https://openalex.org/W6810640740","https://openalex.org/W6846602361","https://openalex.org/W7057189262"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2371448224","https://openalex.org/W3134495997","https://openalex.org/W2363680170","https://openalex.org/W2376428685","https://openalex.org/W4256082577","https://openalex.org/W625783435","https://openalex.org/W2048742619"],"abstract_inverted_index":{"Graph":[0],"Neural":[1],"Networks":[2],"(GNNs)":[3],"and":[4,47,72,92,103,115,123],"differential":[5,35],"equations":[6,36],"(DEs)":[7],"are":[8],"two":[9],"rapidly":[10],"advancing":[11],"areas":[12],"of":[13,51,63,83,90],"research":[14,86,126],"that":[15,59],"have":[16,24],"shown":[17],"remarkable":[18],"synergy":[19],"in":[20,67],"recent":[21],"years.":[22],"GNNs":[23,91],"emerged":[25],"as":[26,110],"powerful":[27],"tools":[28],"for":[29,41],"learning":[30],"on":[31],"graph-structured":[32],"data,":[33],"while":[34],"provide":[37,79],"a":[38,80],"principled":[39],"framework":[40],"modeling":[42],"continuous":[43],"dynamics":[44],"across":[45,107],"time":[46],"space.":[48],"The":[49],"intersection":[50,89],"these":[52],"fields":[53],"has":[54],"led":[55],"to":[56,78,128],"innovative":[57],"approaches":[58],"leverage":[60],"the":[61,84,88],"strengths":[62],"both,":[64],"enabling":[65],"applications":[66,106],"physics-informed":[68],"learning,":[69],"spatiotemporal":[70],"modeling,":[71,112],"scientific":[73],"computing.":[74],"This":[75],"survey":[76],"aims":[77],"comprehensive":[81,134],"overview":[82],"burgeoning":[85],"at":[87,139],"DEs.":[93],"We":[94],"will":[95],"categorize":[96],"existing":[97],"methods,":[98],"discuss":[99],"their":[100,105],"underlying":[101],"principles,":[102],"highlight":[104],"domains":[108],"such":[109],"molecular":[111],"traffic":[113],"prediction,":[114],"epidemic":[116],"spreading.":[117],"Furthermore,":[118],"we":[119],"identify":[120],"open":[121],"challenges":[122],"outline":[124],"future":[125],"directions":[127],"advance":[129],"this":[130],"interdisciplinary":[131],"field.":[132],"A":[133],"paper":[135],"list":[136],"is":[137],"provided":[138],"https://github.com/Emory-Melody/Awesome-Graph-NDEs.":[140]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}