{"id":"https://openalex.org/W7161800814","doi":"https://doi.org/10.48550/arxiv.2605.19536","title":"A Dual Physics-Informed Kolmogorov-Arnold Neural Network Framework for Continuum Topology Optimization","display_name":"A Dual Physics-Informed Kolmogorov-Arnold Neural Network Framework for Continuum Topology Optimization","publication_year":2026,"publication_date":"2026-05-19","ids":{"openalex":"https://openalex.org/W7161800814","doi":"https://doi.org/10.48550/arxiv.2605.19536"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.19536","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.19536","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.19536","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5136530102","display_name":"Junyuan Zhang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhang, Junyuan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136541456","display_name":"Jing Cao","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cao, Jing","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025158703","display_name":"Abdullah Dawar","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dawar, Abdullah","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136523149","display_name":"Kun Cai","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cai, Kun","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5123158681","display_name":"Qinghua Qin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Qin, Qinghua","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.001500000013038516,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.0007999999797903001,"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/topology-optimization","display_name":"Topology optimization","score":0.6826000213623047},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6155999898910522},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.5512999892234802},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5285000205039978},{"id":"https://openalex.org/keywords/adaptability","display_name":"Adaptability","score":0.5077000260353088},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.46560001373291016},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4124999940395355}],"concepts":[{"id":"https://openalex.org/C189216461","wikidata":"https://www.wikidata.org/wiki/Q2443456","display_name":"Topology optimization","level":3,"score":0.6826000213623047},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6155999898910522},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5752000212669373},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.5512999892234802},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5285000205039978},{"id":"https://openalex.org/C177606310","wikidata":"https://www.wikidata.org/wiki/Q5674297","display_name":"Adaptability","level":2,"score":0.5077000260353088},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.46560001373291016},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43140000104904175},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4124999940395355},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.4018999934196472},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3968999981880188},{"id":"https://openalex.org/C2987595161","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Optimization algorithm","level":2,"score":0.30820000171661377},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.3003000020980835},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2976999878883362},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.289000004529953},{"id":"https://openalex.org/C181576044","wikidata":"https://www.wikidata.org/wiki/Q4129926","display_name":"Computational topology","level":3,"score":0.2745000123977661},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.26260000467300415},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2583000063896179},{"id":"https://openalex.org/C186394612","wikidata":"https://www.wikidata.org/wiki/Q7098942","display_name":"Optimal design","level":2,"score":0.2526000142097473}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.19536","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.19536","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.19536","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.19536","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0],"continuum":[1],"topology":[2],"optimization":[3,205],"(TO),":[4],"two":[5,83],"essential":[6],"procedures":[7,28],"are":[8],"involved:":[9],"structural":[10,149,204],"analysis":[11,110],"through":[12],"the":[13,21,37,117,124,138,145,190,196],"solution":[14],"of":[15,24,147,192,211],"partial":[16],"differential":[17],"equations":[18],"(PDEs)":[19],"and":[20,66,163,183],"subsequent":[22],"update":[23],"design":[25,113],"variables.":[26,114],"Both":[27],"can":[29,142,172,199],"be":[30,200],"addressed":[31],"by":[32,208],"training":[33],"neural":[34,140],"networks":[35,141],"using":[36],"corresponding":[38],"physical":[39],"information.":[40],"Accordingly,":[41],"Physics-Informed":[42,126],"Neural":[43],"Network":[44],"(PINN)-based":[45],"algorithms":[46],"have":[47],"been":[48],"developed":[49,106],"for":[50,111,178],"TO.":[51],"However,":[52],"PINN-based":[53,155],"methods":[54],"suffer":[55],"from":[56],"several":[57],"notable":[58],"limitations,":[59],"including":[60],"high":[61],"computational":[62,161,165],"cost,":[63],"spectral":[64],"bias,":[65],"limited":[67],"adaptability":[68],"in":[69],"solving":[70],"PDEs.To":[71],"overcome":[72],"these":[73],"challenges,":[74],"this":[75],"study":[76],"proposes":[77],"a":[78,90,101],"novel":[79],"algorithm":[80],"that":[81,170],"incorporates":[82],"Higher-Order":[84],"ReLU-based":[85],"Kolmogorov-Arnold":[86,127],"Networks":[87],"(HRKANs).":[88],"Specifically,":[89],"displacement-informed":[91],"HRKAN":[92,103],"(d-HRKAN)":[93],"is":[94,105,120],"designed":[95],"to":[96,107,122,189,203],"predict":[97],"PDE":[98],"solutions,":[99],"while":[100],"sensitivity-informed":[102],"(s-HRKAN)":[104],"perform":[108],"sensitivity":[109],"updating":[112],"For":[115],"convenience,":[116],"proposed":[118,139,197],"approach":[119],"referred":[121],"as":[123],"Dual":[125],"Networks-based":[128],"Topology":[129],"Optimization":[130],"(DPIKAN-TO)":[131],"method.":[132],"By":[133],"leveraging":[134],"learnable":[135,193],"activation":[136,194],"functions,":[137,195],"accurately":[143],"approximate":[144],"responses":[146],"complex":[148],"systems.":[150,186],"Moreover,":[151],"compared":[152],"with":[153],"conventional":[154],"methods,":[156],"DPIKAN-TO":[157,171],"demonstrates":[158],"significantly":[159],"improved":[160],"efficiency":[162],"reduced":[164],"cost.":[166],"Numerical":[167],"examples":[168],"show":[169],"successfully":[173],"identify":[174],"optimal":[175],"material":[176],"layouts":[177],"linear":[179],"structures,":[180],"compliant":[181],"mechanisms,":[182],"fluid-solid":[184],"coupled":[185],"Furthermore,":[187],"owing":[188],"use":[191],"framework":[198],"readily":[201],"extended":[202],"problems":[206],"governed":[207],"new":[209],"types":[210],"PDEs.":[212]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-05-21T00:00:00"}
