{"id":"https://openalex.org/W4415794675","doi":"https://doi.org/10.1145/3774321","title":"DuSEGO: Dual Second-Order Equivariant Graph Ordinary Differential Equation","display_name":"DuSEGO: Dual Second-Order Equivariant Graph Ordinary Differential Equation","publication_year":2025,"publication_date":"2025-11-03","ids":{"openalex":"https://openalex.org/W4415794675","doi":"https://doi.org/10.1145/3774321"},"language":"en","primary_location":{"id":"doi:10.1145/3774321","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3774321","pdf_url":null,"source":{"id":"https://openalex.org/S41523882","display_name":"ACM Transactions on Knowledge Discovery from Data","issn_l":"1556-4681","issn":["1556-4681","1556-472X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Knowledge Discovery from Data","raw_type":"journal-article"},"type":"article","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/A5101481532","display_name":"Yingxu Wang","orcid":"https://orcid.org/0000-0003-3284-1464"},"institutions":[{"id":"https://openalex.org/I4210113480","display_name":"Mohamed bin Zayed University of Artificial Intelligence","ror":"https://ror.org/0258gkt32","country_code":"AE","type":"education","lineage":["https://openalex.org/I4210113480"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Yingxu Wang","raw_affiliation_strings":["Mohamed bin Zayed University of Artificial Intelligence, Abu Dhabi, United Arab Emirates"],"raw_orcid":"https://orcid.org/0000-0003-3284-1464","affiliations":[{"raw_affiliation_string":"Mohamed bin Zayed University of Artificial Intelligence, Abu Dhabi, United Arab Emirates","institution_ids":["https://openalex.org/I4210113480"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101035685","display_name":"Yin Nan","orcid":"https://orcid.org/0009-0006-4979-3955"},"institutions":[{"id":"https://openalex.org/I4210113480","display_name":"Mohamed bin Zayed University of Artificial Intelligence","ror":"https://ror.org/0258gkt32","country_code":"AE","type":"education","lineage":["https://openalex.org/I4210113480"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Nan Yin","raw_affiliation_strings":["Mohamed bin Zayed University of Artificial Intelligence, Abu Dhabi, United Arab Emirates"],"raw_orcid":"https://orcid.org/0009-0006-4979-3955","affiliations":[{"raw_affiliation_string":"Mohamed bin Zayed University of Artificial Intelligence, Abu Dhabi, United Arab Emirates","institution_ids":["https://openalex.org/I4210113480"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027077879","display_name":"Mingyan Xiao","orcid":"https://orcid.org/0000-0002-6184-355X"},"institutions":[{"id":"https://openalex.org/I98947143","display_name":"California State Polytechnic University","ror":"https://ror.org/05by5hm18","country_code":"US","type":"education","lineage":["https://openalex.org/I98947143"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mingyan Xiao","raw_affiliation_strings":["California State Polytechnic University, Pomona, California, USA"],"raw_orcid":"https://orcid.org/0000-0002-6184-355X","affiliations":[{"raw_affiliation_string":"California State Polytechnic University, Pomona, California, USA","institution_ids":["https://openalex.org/I98947143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111276519","display_name":"Xinhao Yi","orcid":"https://orcid.org/0009-0006-1882-0236"},"institutions":[{"id":"https://openalex.org/I7882870","display_name":"University of Glasgow","ror":"https://ror.org/00vtgdb53","country_code":"GB","type":"education","lineage":["https://openalex.org/I7882870"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Xinhao Yi","raw_affiliation_strings":["University of Glasgow, Glasgow, United Kingdom of Great Britain and Northern Ireland"],"raw_orcid":"https://orcid.org/0009-0006-1882-0236","affiliations":[{"raw_affiliation_string":"University of Glasgow, Glasgow, United Kingdom of Great Britain and Northern Ireland","institution_ids":["https://openalex.org/I7882870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100781720","display_name":"Siwei Liu","orcid":"https://orcid.org/0000-0002-7326-2883"},"institutions":[{"id":"https://openalex.org/I4210113480","display_name":"Mohamed bin Zayed University of Artificial Intelligence","ror":"https://ror.org/0258gkt32","country_code":"AE","type":"education","lineage":["https://openalex.org/I4210113480"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Siwei Liu","raw_affiliation_strings":["Mohamed bin Zayed University of Artificial Intelligence, Abu Dhabi, United Arab Emirates"],"raw_orcid":"https://orcid.org/0000-0002-7326-2883","affiliations":[{"raw_affiliation_string":"Mohamed bin Zayed University of Artificial Intelligence, Abu Dhabi, United Arab Emirates","institution_ids":["https://openalex.org/I4210113480"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060335069","display_name":"Shangsong Liang","orcid":"https://orcid.org/0000-0003-1625-2168"},"institutions":[{"id":"https://openalex.org/I4210113480","display_name":"Mohamed bin Zayed University of Artificial Intelligence","ror":"https://ror.org/0258gkt32","country_code":"AE","type":"education","lineage":["https://openalex.org/I4210113480"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Shangsong Liang","raw_affiliation_strings":["Mohamed bin Zayed University of Artificial Intelligence, Abu Dhabi, United Arab Emirates and Sun Yat-sen University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-1625-2168","affiliations":[{"raw_affiliation_string":"Mohamed bin Zayed University of Artificial Intelligence, Abu Dhabi, United Arab Emirates and Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I4210113480"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7588,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.892884,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"20","issue":"1","first_page":"1","last_page":"18"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9799000024795532,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.9799000024795532,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.003599999938160181,"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/T11948","display_name":"Machine Learning in Materials Science","score":0.003000000026077032,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/equivariant-map","display_name":"Equivariant map","score":0.9375},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.766700029373169},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.538100004196167},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4867999851703644},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.42480000853538513},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.42170000076293945},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.38420000672340393},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.36809998750686646}],"concepts":[{"id":"https://openalex.org/C171036898","wikidata":"https://www.wikidata.org/wiki/Q256355","display_name":"Equivariant map","level":2,"score":0.9375},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.766700029373169},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6097999811172485},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.538100004196167},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4867999851703644},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.42480000853538513},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.42170000076293945},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.38420000672340393},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3837999999523163},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.36809998750686646},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.33809998631477356},{"id":"https://openalex.org/C185184677","wikidata":"https://www.wikidata.org/wiki/Q1366795","display_name":"Exact differential equation","level":4,"score":0.3343000113964081},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.33149999380111694},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.3197999894618988},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3077999949455261},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.3066999912261963},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.29809999465942383},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2678000032901764},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.263700008392334},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.258899986743927},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.2556999921798706},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2529999911785126}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3774321","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3774321","pdf_url":null,"source":{"id":"https://openalex.org/S41523882","display_name":"ACM Transactions on Knowledge Discovery from Data","issn_l":"1556-4681","issn":["1556-4681","1556-472X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Knowledge Discovery from Data","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W2964051675","https://openalex.org/W4388412569","https://openalex.org/W4401502924"],"related_works":[],"abstract_inverted_index":{"Graph":[0,85],"Neural":[1],"Networks":[2],"(GNNs)":[3],"with":[4],"equivariant":[5,91,99,122],"properties":[6],"have":[7],"achieved":[8],"significant":[9],"success":[10],"in":[11,48,137],"modeling":[12],"complex":[13],"dynamic":[14],"systems":[15],"and":[16,110,141,154],"molecular":[17],"properties.":[18],"However,":[19],"their":[20],"expressiveness":[21],"ability":[22],"is":[23],"limited":[24],"by:":[25],"(1)":[26],"Existing":[27],"methods":[28],"often":[29,63],"overlook":[30],"the":[31,42,60,71,81,96,121,134,148,152,159,171,174],"over-smoothing":[32,135],"issue":[33],"caused":[34],"by":[35],"traditional":[36],"GNN":[37],"models,":[38],"as":[39,41],"well":[40],"gradient":[43],"explosion":[44],"or":[45],"vanishing":[46,155],"problems":[47],"deep":[49,162],"GNNs.":[50,164],"(2)":[51],"Most":[52],"models":[53],"operate":[54],"on":[55,167],"first-order":[56],"information,":[57],"neglecting":[58],"that":[59,118,130,147],"real":[61],"world":[62],"consists":[64],"of":[65,161,173],"second-order":[66,98],"systems,":[67],"which":[68],"further":[69],"limits":[70],"model\u2019s":[72],"representation":[73,140],"capabilities.":[74],"To":[75],"address":[76],"these":[77],"issues,":[78],"we":[79,115,125,145],"propose":[80],"Dual":[82],"Second-order":[83],"Equivariant":[84],"Ordinary":[86],"(DuSEGO)":[87],"Differential":[88],"Equation":[89],"for":[90],"representation.":[92],"Specifically,":[93],"DuSEGO":[94,119,131,150,176],"applies":[95],"dual":[97],"graph":[100,108],"ordinary":[101],"differential":[102],"equations":[103],"(Graph":[104],"ODEs)":[105],"to":[106,178],"both":[107,138],"embeddings":[109],"node":[111],"coordinates":[112],"simultaneously.":[113],"Theoretically,":[114],"first":[116],"prove":[117],"maintains":[120],"property.":[123],"Furthermore,":[124],"provide":[126],"theoretical":[127],"insights":[128],"showing":[129],"effectively":[132],"alleviates":[133],"problem":[136],"feature":[139],"coordinate":[142],"update.":[143],"Additionally,":[144],"demonstrate":[146],"proposed":[149,175],"mitigates":[151],"exploding":[153],"gradients":[156],"problem,":[157],"facilitating":[158],"training":[160],"multi-layer":[163],"Extensive":[165],"experiments":[166],"benchmark":[168],"datasets":[169],"validate":[170],"superiority":[172],"compared":[177],"baselines.":[179]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-11-03T00:00:00"}
