{"id":"https://openalex.org/W7125945584","doi":"https://doi.org/10.1109/smc58881.2025.11343107","title":"Group Point Symmetry and Multi-Step Dynamics Prediction for Physical Systems with Graph Neural Networks","display_name":"Group Point Symmetry and Multi-Step Dynamics Prediction for Physical Systems with Graph Neural Networks","publication_year":2025,"publication_date":"2025-10-05","ids":{"openalex":"https://openalex.org/W7125945584","doi":"https://doi.org/10.1109/smc58881.2025.11343107"},"language":null,"primary_location":{"id":"doi:10.1109/smc58881.2025.11343107","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smc58881.2025.11343107","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Conference on Systems, Man, and Cybernetics (SMC)","raw_type":"proceedings-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/A5124084180","display_name":"Bingwei Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bingwei Huang","raw_affiliation_strings":["University of Chinese Academy of Sciences,Institute of Software Chinese Academy of Sciences,Beijing,China"],"affiliations":[{"raw_affiliation_string":"University of Chinese Academy of Sciences,Institute of Software Chinese Academy of Sciences,Beijing,China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100434758","display_name":"Jianhua Zhang","orcid":"https://orcid.org/0000-0001-7844-6035"},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chenxi Zhang","raw_affiliation_strings":["University of Chinese Academy of Sciences,Institute of Software Chinese Academy of Sciences,Beijing,China"],"affiliations":[{"raw_affiliation_string":"University of Chinese Academy of Sciences,Institute of Software Chinese Academy of Sciences,Beijing,China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5124122676","display_name":"Sheng Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sheng Yang","raw_affiliation_strings":["University of Chinese Academy of Sciences,Institute of Software Chinese Academy of Sciences,Beijing,China"],"affiliations":[{"raw_affiliation_string":"University of Chinese Academy of Sciences,Institute of Software Chinese Academy of Sciences,Beijing,China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111048805","display_name":"Fengge Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fengge Wu","raw_affiliation_strings":["University of Chinese Academy of Sciences,Institute of Software Chinese Academy of Sciences,Beijing,China"],"affiliations":[{"raw_affiliation_string":"University of Chinese Academy of Sciences,Institute of Software Chinese Academy of Sciences,Beijing,China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051264522","display_name":"Junsuo Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junsuo Zhao","raw_affiliation_strings":["University of Chinese Academy of Sciences,Institute of Software Chinese Academy of Sciences,Beijing,China"],"affiliations":[{"raw_affiliation_string":"University of Chinese Academy of Sciences,Institute of Software Chinese Academy of Sciences,Beijing,China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5124084180"],"corresponding_institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I4210165038"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.76184457,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1849","last_page":"1855"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.4212999939918518,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.4212999939918518,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.3321000039577484,"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/T11948","display_name":"Machine Learning in Materials Science","score":0.08739999681711197,"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":0.6798999905586243},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.625},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.555400013923645},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.44929999113082886},{"id":"https://openalex.org/keywords/physical-system","display_name":"Physical system","score":0.4065000116825104},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.3982999920845032},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.3806999921798706},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3522000014781952},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.3400000035762787}],"concepts":[{"id":"https://openalex.org/C171036898","wikidata":"https://www.wikidata.org/wiki/Q256355","display_name":"Equivariant map","level":2,"score":0.6798999905586243},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.625},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.555400013923645},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5425000190734863},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.44929999113082886},{"id":"https://openalex.org/C116672817","wikidata":"https://www.wikidata.org/wiki/Q1454986","display_name":"Physical system","level":2,"score":0.4065000116825104},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.3982999920845032},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3806999921798706},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3601999878883362},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3522000014781952},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34850001335144043},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.3400000035762787},{"id":"https://openalex.org/C204795200","wikidata":"https://www.wikidata.org/wiki/Q903282","display_name":"Symmetry breaking","level":2,"score":0.33250001072883606},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.3280999958515167},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.32499998807907104},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.32330000400543213},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32109999656677246},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31520000100135803},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.31459999084472656},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.3140999972820282},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3093000054359436},{"id":"https://openalex.org/C44306375","wikidata":"https://www.wikidata.org/wiki/Q902019","display_name":"Symmetry group","level":2,"score":0.30239999294281006},{"id":"https://openalex.org/C179003449","wikidata":"https://www.wikidata.org/wiki/Q1757458","display_name":"Particle system","level":2,"score":0.3010999858379364},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2937000095844269},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.27059999108314514},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.260699987411499},{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.2606000006198883},{"id":"https://openalex.org/C2776394503","wikidata":"https://www.wikidata.org/wiki/Q5282063","display_name":"Discrete symmetry","level":3,"score":0.25529998540878296},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.25049999356269836}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/smc58881.2025.11343107","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smc58881.2025.11343107","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Conference on Systems, Man, and Cybernetics (SMC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W2585152223","https://openalex.org/W3210300097","https://openalex.org/W4225405705","https://openalex.org/W4313196348","https://openalex.org/W4386071549","https://openalex.org/W4388400379","https://openalex.org/W4401857605"],"related_works":[],"abstract_inverted_index":{"Modeling":[0],"the":[1,12,98,117],"3D":[2],"dynamics":[3,66,103,148],"of":[4,14,93],"relational":[5],"systems":[6],"is":[7],"a":[8,105,113],"key":[9],"challenge":[10],"in":[11,18,38,112,155],"field":[13],"natural":[15],"sciences,":[16],"especially":[17],"molecular":[19,147],"simulations":[20],"and":[21,63,108,146,158],"particle":[22,141],"mechanics.":[23],"However,":[24],"existing":[25],"graph":[26,120],"neural":[27,99,121],"network":[28],"methods":[29,154],"overlook":[30],"two":[31,94],"critical":[32],"practical":[33],"issues:":[34],"(1)":[35,97],"Error":[36],"accumulation":[37,52],"multi-step":[39,54,110],"reasoning:":[40],"They":[41],"are":[42],"designed":[43],"for":[44],"single-step":[45],"predictions,":[46],"which":[47,91,101,123],"leads":[48],"to":[49,74,132],"severe":[50],"error":[51],"during":[53],"inference.":[55],"(2)":[56,116],"Overly":[57],"strict":[58],"equivariance":[59],"constraints:":[60],"In":[61,77],"scientific":[62],"engineering":[64],"applications,":[65],"often":[67],"exhibits":[68],"symmetry":[69,136],"breaking":[70],"or":[71],"relaxation":[72],"due":[73],"boundary":[75],"conditions.":[76],"this":[78],"work,":[79],"we":[80],"propose":[81],"Group":[82],"Point":[83],"Multi-Step":[84],"Dynamics":[85],"-":[86],"Graph":[87],"Neural":[88],"Networks":[89],"(GPMS-GNN),":[90],"consists":[92],"main":[95],"modules:":[96],"operator,":[100],"approximates":[102],"as":[104],"time-evolving":[106],"function":[107],"enables":[109],"prediction":[111],"single":[114],"inference;":[115],"relaxed":[118],"equivariant":[119,126],"network,":[122],"relaxes":[124],"continuous":[125],"inductive":[127],"biases":[128],"into":[129],"discrete":[130],"forms":[131],"accommodate":[133],"scenarios":[134],"involving":[135],"breaking.":[137],"Extensive":[138],"experiments":[139],"on":[140],"simulations,":[142],"human":[143],"motion":[144],"capture,":[145],"demonstrate":[149],"that":[150],"GPMS":[151],"outperforms":[152],"state-of-the-art":[153],"both":[156],"accuracy":[157],"data":[159],"efficiency.":[160]},"counts_by_year":[],"updated_date":"2026-02-23T20:09:44.859080","created_date":"2026-01-29T00:00:00"}