{"id":"https://openalex.org/W7154701166","doi":"https://doi.org/10.48550/arxiv.2604.14879","title":"SOLIS: Physics-Informed Learning of Interpretable Neural Surrogates for Nonlinear Systems","display_name":"SOLIS: Physics-Informed Learning of Interpretable Neural Surrogates for Nonlinear Systems","publication_year":2026,"publication_date":"2026-04-16","ids":{"openalex":"https://openalex.org/W7154701166","doi":"https://doi.org/10.48550/arxiv.2604.14879"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.14879","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.14879","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.14879","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5133891258","display_name":"Murat Furkan Mansur","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mansur, Murat Furkan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5010725194","display_name":"Tufan Kumbasar","orcid":"https://orcid.org/0000-0001-9366-0240"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kumbasar, Tufan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9787999987602234,"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":0.9787999987602234,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.003700000001117587,"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/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.0026000000070780516,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/interpretability","display_name":"Interpretability","score":0.9031000137329102},{"id":"https://openalex.org/keywords/identifiability","display_name":"Identifiability","score":0.6294999718666077},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6003999710083008},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5918999910354614},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5694000124931335},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5422000288963318},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.5365999937057495},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.4993000030517578},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.49129998683929443}],"concepts":[{"id":"https://openalex.org/C2781067378","wikidata":"https://www.wikidata.org/wiki/Q17027399","display_name":"Interpretability","level":2,"score":0.9031000137329102},{"id":"https://openalex.org/C122770356","wikidata":"https://www.wikidata.org/wiki/Q1656753","display_name":"Identifiability","level":2,"score":0.6294999718666077},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6114000082015991},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6003999710083008},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5940999984741211},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5918999910354614},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5694000124931335},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5422000288963318},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.5365999937057495},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.4993000030517578},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.49129998683929443},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.44359999895095825},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.421099990606308},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.39399999380111694},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3677000105381012},{"id":"https://openalex.org/C187523126","wikidata":"https://www.wikidata.org/wiki/Q17098330","display_name":"Inverse dynamics","level":3,"score":0.35510000586509705},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.3343999981880188},{"id":"https://openalex.org/C22157029","wikidata":"https://www.wikidata.org/wiki/Q17080460","display_name":"Nonlinear system identification","level":4,"score":0.3231000006198883},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.31349998712539673},{"id":"https://openalex.org/C2984842247","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep neural networks","level":3,"score":0.31139999628067017},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.30790001153945923},{"id":"https://openalex.org/C24574437","wikidata":"https://www.wikidata.org/wiki/Q7135228","display_name":"Parametric model","level":3,"score":0.3066999912261963},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.30320000648498535},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3021000027656555},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.29260000586509705},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.2921000123023987},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.2915000021457672},{"id":"https://openalex.org/C116672817","wikidata":"https://www.wikidata.org/wiki/Q1454986","display_name":"Physical system","level":2,"score":0.2606000006198883},{"id":"https://openalex.org/C126701199","wikidata":"https://www.wikidata.org/wiki/Q264224","display_name":"Complex dynamics","level":2,"score":0.25589999556541443},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.2547000050544739},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2506999969482422}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.14879","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.14879","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.14879","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.14879","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"article"},"sustainable_development_goals":[{"score":0.6675880551338196,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Nonlinear":[0],"system":[1],"identification":[2,82],"must":[3],"balance":[4],"physical":[5,136],"interpretability":[6],"with":[7,52,112],"model":[8],"flexibility.":[9],"Classical":[10],"methods":[11,146],"yield":[12],"structured,":[13],"control-relevant":[14],"models":[15,71],"but":[16,43],"rely":[17],"on":[18,128],"rigid":[19],"parametric":[20],"forms":[21],"that":[22,123],"often":[23],"miss":[24],"complex":[25],"nonlinearities,":[26],"whereas":[27],"Neural":[28,36],"ODEs":[29],"are":[30,63],"expressive":[31],"yet":[32],"largely":[33],"black-box.":[34],"Physics-Informed":[35],"Networks":[37],"(PINNs)":[38],"sit":[39],"between":[40],"these":[41],"extremes,":[42],"inverse":[44,145],"PINNs":[45],"typically":[46],"assume":[47],"a":[48,75,85,99,113],"known":[49],"governing":[50],"equation":[51],"fixed":[53],"coefficients,":[54],"leading":[55],"to":[56],"identifiability":[57],"failures":[58],"when":[59],"the":[60],"true":[61],"dynamics":[62,73],"unknown":[64,72],"or":[65],"state-dependent.":[66],"We":[67],"propose":[68],"\\textbf{SOLIS},":[69],"which":[70],"via":[74],"\\emph{state-conditioned":[76],"second-order":[77],"surrogate":[78],"model}":[79],"and":[80,95,109,116,134],"recasts":[81],"as":[83],"learning":[84],"Quasi-Linear":[86],"Parameter-Varying":[87],"(Quasi-LPV)":[88],"representation,":[89],"recovering":[90],"interpretable":[91],"natural":[92],"frequency,":[93],"damping,":[94],"gain":[96],"without":[97],"presupposing":[98],"global":[100],"equation.":[101],"SOLIS":[102],"decouples":[103],"trajectory":[104],"reconstruction":[105],"from":[106,138],"parameter":[107],"estimation":[108],"stabilizes":[110],"training":[111],"cyclic":[114],"curriculum":[115],"\\textbf{Local":[117],"Physics":[118],"Hints}":[119],"windowed":[120],"ridge-regression":[121],"anchors":[122],"mitigate":[124],"optimization":[125],"collapse.":[126],"Experiments":[127],"benchmarks":[129],"show":[130],"accurate":[131],"parameter-manifold":[132],"recovery":[133],"coherent":[135],"rollouts":[137],"sparse":[139],"data,":[140],"including":[141],"regimes":[142],"where":[143],"standard":[144],"fail.":[147]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-04-18T00:00:00"}
