{"id":"https://openalex.org/W4404526583","doi":"https://doi.org/10.1145/3687961","title":"Accelerate Neural Subspace-Based Reduced-Order Solver of Deformable Simulation by Lipschitz Optimization","display_name":"Accelerate Neural Subspace-Based Reduced-Order Solver of Deformable Simulation by Lipschitz Optimization","publication_year":2024,"publication_date":"2024-11-19","ids":{"openalex":"https://openalex.org/W4404526583","doi":"https://doi.org/10.1145/3687961"},"language":"en","primary_location":{"id":"doi:10.1145/3687961","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3687961","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"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 Graphics","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/A5114341207","display_name":"Aoran Lyu","orcid":"https://orcid.org/0000-0002-5142-5979"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]},{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN","GB"],"is_corresponding":true,"raw_author_name":"Aoran Lyu","raw_affiliation_strings":["South China University of Technology, Guangzhou, China","The University of Manchester, Manchester, United Kingdom"],"affiliations":[{"raw_affiliation_string":"South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"The University of Manchester, Manchester, United Kingdom","institution_ids":["https://openalex.org/I28407311"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048439980","display_name":"Siliang Zhao","orcid":"https://orcid.org/0009-0004-8677-2331"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shixian Zhao","raw_affiliation_strings":["South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060555716","display_name":"Chuhua Xian","orcid":"https://orcid.org/0000-0001-7656-4652"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chuhua Xian","raw_affiliation_strings":["South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042631901","display_name":"Zhihao Cen","orcid":"https://orcid.org/0009-0009-5967-3895"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhihao Cen","raw_affiliation_strings":["South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046396291","display_name":"Hongmin Cai","orcid":"https://orcid.org/0000-0002-2747-7234"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongmin Cai","raw_affiliation_strings":["South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029504493","display_name":"Guoxin Fang","orcid":"https://orcid.org/0000-0001-8741-3227"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Guoxin Fang","raw_affiliation_strings":["The Chinese University of Hong Kong, Hong Kong SAR, China"],"affiliations":[{"raw_affiliation_string":"The Chinese University of Hong Kong, Hong Kong SAR, China","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5114341207"],"corresponding_institution_ids":["https://openalex.org/I28407311","https://openalex.org/I90610280"],"apc_list":null,"apc_paid":null,"fwci":1.8707,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.84548142,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"43","issue":"6","first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9962000250816345,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.8196607232093811},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7354730367660522},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.70327228307724},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5833507776260376},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3730301260948181},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36842477321624756},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3047090172767639},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.28553110361099243},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18470603227615356}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.8196607232093811},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7354730367660522},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.70327228307724},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5833507776260376},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3730301260948181},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36842477321624756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3047090172767639},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28553110361099243},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18470603227615356}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3687961","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3687961","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"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 Graphics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8799999952316284}],"awards":[{"id":"https://openalex.org/G357971821","display_name":null,"funder_award_id":"62325204","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3929862760","display_name":null,"funder_award_id":"U21A20520","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G943449154","display_name":null,"funder_award_id":"2022YFE0112200","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1980757084","https://openalex.org/W1989871863","https://openalex.org/W1992988897","https://openalex.org/W1995851149","https://openalex.org/W2002436811","https://openalex.org/W2005092540","https://openalex.org/W2011131260","https://openalex.org/W2024243735","https://openalex.org/W2034504303","https://openalex.org/W2047355785","https://openalex.org/W2048955023","https://openalex.org/W2055035360","https://openalex.org/W2235036220","https://openalex.org/W2247775862","https://openalex.org/W2248463013","https://openalex.org/W2293994889","https://openalex.org/W2611752399","https://openalex.org/W2791693147","https://openalex.org/W2796290181","https://openalex.org/W2810015627","https://openalex.org/W2915668163","https://openalex.org/W2962821226","https://openalex.org/W2963026800","https://openalex.org/W3048889784","https://openalex.org/W3104515094","https://openalex.org/W3113374047","https://openalex.org/W3178714617","https://openalex.org/W4289522140","https://openalex.org/W4317213985","https://openalex.org/W4385275470","https://openalex.org/W4389339346"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W4297791327","https://openalex.org/W2897842840","https://openalex.org/W1980381208","https://openalex.org/W2911623553","https://openalex.org/W2397777611","https://openalex.org/W1502031429","https://openalex.org/W2318923278","https://openalex.org/W2417585376","https://openalex.org/W1994157709"],"abstract_inverted_index":{"Reduced-order":[0],"simulation":[1,41,104,179],"is":[2,132],"an":[3],"emerging":[4],"method":[5,69,131,167],"for":[6,53,70,142,200],"accelerating":[7,201],"physical":[8,202],"simulations":[9,81],"with":[10,18,124,191],"high":[11,118],"DOFs,":[12],"and":[13,38,106,120,134,139,163,188,204],"recently":[14],"developed":[15],"neural-network-based":[16,212],"methods":[17],"nonlinear":[19],"subspaces":[20,31],"have":[21,46],"been":[22,48],"proven":[23],"effective":[24],"in":[25,102,160,181,214],"diverse":[26],"applications":[27],"as":[28],"more":[29],"concise":[30],"can":[32,205],"be":[33,206],"detected.":[34],"However,":[35],"the":[36,44,56,87,95,99,103,108,112,117,126,144,147,152],"complexity":[37],"landscape":[39],"of":[40,55,78,86,98,146,154,171],"objectives":[42],"within":[43],"subspace":[45,73],"not":[47],"optimized,":[49],"which":[50],"leaves":[51],"room":[52],"enhancement":[54],"convergence":[57],"speed.":[58],"This":[59,194],"work":[60],"focuses":[61],"on":[62],"this":[63,92],"point":[64],"by":[65,93],"proposing":[66],"a":[67,207],"general":[68,158],"finding":[71],"optimized":[72],"mappings,":[74],"enabling":[75],"further":[76],"acceleration":[77,169],"neural":[79],"reduced-order":[80],"while":[82,175],"capturing":[83],"comprehensive":[84],"representations":[85],"configuration":[88,148],"manifolds.":[89,149],"We":[90,150],"achieve":[91],"optimizing":[94,125,143],"Lipschitz":[96],"energy":[97],"elasticity":[100],"term":[101],"objective,":[105],"incorporating":[107],"cubature":[109],"approximation":[110],"into":[111],"training":[113],"process":[114],"to":[115,136,173,210],"manage":[116],"memory":[119],"time":[121],"demands":[122],"associated":[123],"newly":[127],"introduced":[128],"energy.":[129],"Our":[130,166],"versatile":[133],"applicable":[135],"both":[137,161],"supervised":[138],"unsupervised":[140],"settings":[141],"parameterizations":[145],"demonstrate":[151],"effectiveness":[153],"our":[155],"approach":[156,196],"through":[157],"cases":[159],"quasi-static":[162],"dynamics":[164],"simulations.":[165],"achieves":[168],"factors":[170],"up":[172],"6.83":[174],"consistently":[176],"preserving":[177],"comparable":[178],"accuracy":[180],"various":[182],"cases,":[183],"including":[184],"large":[185],"twisting,":[186],"bending,":[187],"rotational":[189],"deformations":[190],"collision":[192],"handling.":[193],"novel":[195],"offers":[197],"significant":[198],"potential":[199],"simulations,":[203],"good":[208],"add-on":[209],"existing":[211],"solutions":[213],"modeling":[215],"complex":[216],"deformable":[217],"objects.":[218]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4}],"updated_date":"2026-03-31T07:56:22.981413","created_date":"2025-10-10T00:00:00"}