{"id":"https://openalex.org/W7106758192","doi":"https://doi.org/10.48550/arxiv.2511.18555","title":"A joint optimization approach to identifying sparse dynamics using least squares kernel collocation","display_name":"A joint optimization approach to identifying sparse dynamics using least squares kernel collocation","publication_year":2025,"publication_date":"2025-11-23","ids":{"openalex":"https://openalex.org/W7106758192","doi":"https://doi.org/10.48550/arxiv.2511.18555"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2511.18555","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2511.18555","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.2511.18555","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Hsu, Alexander W.","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Hsu, Alexander W.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Salas, Ike Griss","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Salas, Ike Griss","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Stevens-Haas, Jacob M.","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stevens-Haas, Jacob M.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Kutz, J. Nathan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kutz, J. Nathan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Aravkin, Aleksandr","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Aravkin, Aleksandr","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Hosseini, Bamdad","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hosseini, Bamdad","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":6,"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":0.9423999786376953,"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":0.9423999786376953,"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.011599999852478504,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.008700000122189522,"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/discretization","display_name":"Discretization","score":0.5357000231742859},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5332000255584717},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.5278000235557556},{"id":"https://openalex.org/keywords/representer-theorem","display_name":"Representer theorem","score":0.5012999773025513},{"id":"https://openalex.org/keywords/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.4699000120162964},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.46790000796318054},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.46320000290870667},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.44119998812675476},{"id":"https://openalex.org/keywords/statistical-learning-theory","display_name":"Statistical learning theory","score":0.3495999872684479}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5357000231742859},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5332000255584717},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.5278000235557556},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5034999847412109},{"id":"https://openalex.org/C172623408","wikidata":"https://www.wikidata.org/wiki/Q7314263","display_name":"Representer theorem","level":5,"score":0.5012999773025513},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4749999940395355},{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.4699000120162964},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.46790000796318054},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.46320000290870667},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4625000059604645},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45829999446868896},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.44119998812675476},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4323999881744385},{"id":"https://openalex.org/C2779915298","wikidata":"https://www.wikidata.org/wiki/Q7604400","display_name":"Statistical learning theory","level":3,"score":0.3495999872684479},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.32899999618530273},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.32839998602867126},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.32440000772476196},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.3206000030040741},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.31940001249313354},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.31470000743865967},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.3109000027179718},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3068000078201294},{"id":"https://openalex.org/C2781170535","wikidata":"https://www.wikidata.org/wiki/Q30587856","display_name":"Noisy data","level":2,"score":0.29980000853538513},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.29980000853538513},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.2955000102519989},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.28790000081062317},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.28200000524520874},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.26820001006126404},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.2581999897956848}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2511.18555","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2511.18555","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.2511.18555","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2511.18555","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"develop":[1],"an":[2],"all-at-once":[3],"modeling":[4,107],"framework":[5],"for":[6,34,51],"learning":[7,85],"systems":[8],"of":[9,20,30,73,84,109],"ordinary":[10],"differential":[11],"equations":[12],"(ODE)":[13],"from":[14,44],"scarce,":[15],"partial,":[16],"and":[17,55,77,88,100],"noisy":[18],"observations":[19],"the":[21,35,53,57,64,86,90,106],"states.":[22,92],"The":[23],"proposed":[24,65],"methodology":[25],"amounts":[26],"to":[27,68,79],"a":[28,38],"combination":[29],"sparse":[31],"recovery":[32],"strategies":[33],"ODE":[36],"over":[37],"function":[39],"library":[40],"combined":[41],"with":[42],"techniques":[43],"reproducing":[45],"kernel":[46],"Hilbert":[47],"space":[48],"(RKHS)":[49],"theory":[50],"estimating":[52,89],"state":[54],"discretizing":[56],"ODE.":[58],"Our":[59],"numerical":[60],"experiments":[61],"reveal":[62],"that":[63],"strategy":[66],"leads":[67],"significant":[69],"gains":[70],"in":[71,82,113],"terms":[72,83],"accuracy,":[74],"sample":[75],"efficiency,":[76],"robustness":[78],"noise,":[80],"both":[81],"equation":[87,114],"unknown":[91],"This":[93],"work":[94],"demonstrates":[95],"capabilities":[96],"well":[97],"beyond":[98],"existing":[99],"widely":[101],"used":[102],"algorithms":[103],"while":[104],"extending":[105],"flexibility":[108],"other":[110],"recent":[111],"developments":[112],"discovery.":[115]},"counts_by_year":[],"updated_date":"2026-02-24T06:16:03.338239","created_date":"2025-11-27T00:00:00"}
