{"id":"https://openalex.org/W7134243966","doi":"https://doi.org/10.48550/arxiv.2603.06354","title":"Frequency-Separable Hamiltonian Neural Network for Multi-Timescale Dynamics","display_name":"Frequency-Separable Hamiltonian Neural Network for Multi-Timescale Dynamics","publication_year":2026,"publication_date":"2026-03-06","ids":{"openalex":"https://openalex.org/W7134243966","doi":"https://doi.org/10.48550/arxiv.2603.06354"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2603.06354","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","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":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5126409255","display_name":"Yaojun Li","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Li, Yaojun","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128527979","display_name":"Yulong Yang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yang, Yulong","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5091851960","display_name":"Christine Allen-Blanchette","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Allen-Blanchette, Christine","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5126409255"],"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":0.9399999976158142,"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":0.9399999976158142,"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/T11804","display_name":"Quantum many-body systems","score":0.022600000724196434,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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":0.013299999758601189,"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/symplectic-geometry","display_name":"Symplectic geometry","score":0.6790000200271606},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.675000011920929},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.6438999772071838},{"id":"https://openalex.org/keywords/hamiltonian-mechanics","display_name":"Hamiltonian mechanics","score":0.6236000061035156},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5845999717712402},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.5372999906539917},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.5306000113487244},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4675000011920929}],"concepts":[{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.6790000200271606},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.675000011920929},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6438999772071838},{"id":"https://openalex.org/C136864674","wikidata":"https://www.wikidata.org/wiki/Q477921","display_name":"Hamiltonian mechanics","level":3,"score":0.6236000061035156},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5845999717712402},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.5372999906539917},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.5306000113487244},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48590001463890076},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4675000011920929},{"id":"https://openalex.org/C197352929","wikidata":"https://www.wikidata.org/wiki/Q1074074","display_name":"Inductive bias","level":4,"score":0.462799996137619},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37059998512268066},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36959999799728394},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.3158999979496002},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.31130000948905945},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.304500013589859},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.29100000858306885},{"id":"https://openalex.org/C109798219","wikidata":"https://www.wikidata.org/wiki/Q25304038","display_name":"Covariant Hamiltonian field theory","level":3,"score":0.2847999930381775},{"id":"https://openalex.org/C2777032711","wikidata":"https://www.wikidata.org/wiki/Q5318993","display_name":"Dynamic mode decomposition","level":2,"score":0.266400009393692},{"id":"https://openalex.org/C104737047","wikidata":"https://www.wikidata.org/wiki/Q987652","display_name":"Hamiltonian path problem","level":4,"score":0.2646999955177307},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2621999979019165},{"id":"https://openalex.org/C207646825","wikidata":"https://www.wikidata.org/wiki/Q7661847","display_name":"Symplectic integrator","level":4,"score":0.26010000705718994},{"id":"https://openalex.org/C135661100","wikidata":"https://www.wikidata.org/wiki/Q1049064","display_name":"Symplectomorphism","level":3,"score":0.2515000104904175}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2603.06354","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2603.06354","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.06354","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":"pmh:doi:10.48550/arxiv.2603.06354","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","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":{"While":[0],"Hamiltonian":[1,14,104,125,133,140],"mechanics":[2],"provides":[3],"a":[4,161,183],"powerful":[5],"inductive":[6],"bias":[7,38],"for":[8],"neural":[9,41],"networks":[10],"modeling":[11],"dynamical":[12,178],"systems,":[13],"Neural":[15,126],"Networks":[16],"and":[17,111,114,142,163,180,188],"their":[18,83],"variants":[19],"often":[20],"fail":[21],"to":[22,35,53,70,85,155],"capture":[23,87],"complex":[24],"temporal":[25],"dynamics":[26,89,141],"spanning":[27],"multiple":[28,135],"timescales.":[29,149],"This":[30],"limitation":[31],"is":[32],"commonly":[33],"linked":[34],"the":[36,74,101,123,131],"spectral":[37],"of":[39,186],"deep":[40],"networks,":[42,136],"which":[43,129],"favors":[44],"learning":[45,160],"low-frequency,":[46],"slow-varying":[47],"dynamics.":[48],"Prior":[49],"approaches":[50],"have":[51],"sought":[52],"address":[54],"this":[55,97,153],"issue":[56],"through":[57],"symplectic":[58,165],"integration":[59],"schemes":[60],"that":[61,103,170],"enforce":[62],"energy":[63],"conservation":[64],"or":[65,90],"by":[66,139,159],"incorporating":[67],"geometric":[68],"constraints":[69],"impose":[71],"structure":[72],"on":[73,144,176],"configuration-space.":[75],"However,":[76],"such":[77],"methods":[78],"either":[79],"remain":[80],"limited":[81],"in":[82],"ability":[84],"fully":[86],"multiscale":[88],"require":[91],"substantial":[92],"domain":[93],"specific":[94],"assumptions.":[95],"In":[96],"work,":[98],"we":[99,168],"exploit":[100],"observation":[102],"functions":[105],"admit":[106],"decompositions":[107],"into":[108],"explicit":[109],"fast":[110],"slow":[112],"modes":[113],"can":[115],"be":[116],"reconstructed":[117],"from":[118],"these":[119],"components.":[120],"We":[121,150],"introduce":[122],"Frequency-Separable":[124],"Network":[127],"(FS-HNN),":[128],"parameterizes":[130],"system":[132],"using":[134],"each":[137],"governed":[138],"trained":[143],"data":[145],"sampled":[146],"at":[147],"distinct":[148],"further":[151],"extend":[152],"framework":[154],"partial":[156],"differential":[157],"equations":[158],"state-":[162],"boundary-conditioned":[164],"operators.":[166],"Empirically,":[167],"show":[169],"FS-HNN":[171],"improves":[172],"long-horizon":[173],"extrapolation":[174],"performance":[175],"challenging":[177],"systems":[179],"generalizes":[181],"across":[182],"broad":[184],"range":[185],"ODE":[187],"PDE":[189],"problems.":[190]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2026-03-10T00:00:00"}