{"id":"https://openalex.org/W7130544240","doi":"https://doi.org/10.48550/arxiv.2602.16166","title":"Discovering Unknown Inverter Governing Equations via Physics-Informed Sparse Machine Learning","display_name":"Discovering Unknown Inverter Governing Equations via Physics-Informed Sparse Machine Learning","publication_year":2026,"publication_date":"2026-02-18","ids":{"openalex":"https://openalex.org/W7130544240","doi":"https://doi.org/10.48550/arxiv.2602.16166"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.16166","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/A5126426501","display_name":"Jialin Zheng","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zheng, Jialin","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5093273335","display_name":"Ruhaan Batta","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Batta, Ruhaan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5126389322","display_name":"Zhong Liu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu, Zhong","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5126377826","display_name":"Xiaonan Lu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lu, Xiaonan","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5126426501"],"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":0.656499981880188,"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":0.656499981880188,"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/T10223","display_name":"Microgrid Control and Optimization","score":0.1274999976158142,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10305","display_name":"Power System Optimization and Stability","score":0.03319999948143959,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6345999836921692},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.6033999919891357},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.5526000261306763},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5511999726295471},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5250999927520752},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.47360000014305115},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4526999890804291},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.3499999940395355},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.3262999951839447}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6345999836921692},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6146000027656555},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6033999919891357},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.5526000261306763},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5511999726295471},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5250999927520752},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5131000280380249},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.47360000014305115},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4526999890804291},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.43650001287460327},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.3499999940395355},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34290000796318054},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.3262999951839447},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.3109999895095825},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.3084000051021576},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.30480000376701355},{"id":"https://openalex.org/C136389625","wikidata":"https://www.wikidata.org/wiki/Q334384","display_name":"Supervised learning","level":3,"score":0.3041999936103821},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.29670000076293945},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.2939000129699707},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.289900004863739},{"id":"https://openalex.org/C22157029","wikidata":"https://www.wikidata.org/wiki/Q17080460","display_name":"Nonlinear system identification","level":4,"score":0.2858999967575073},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.2718000113964081},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.2630999982357025},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.25699999928474426},{"id":"https://openalex.org/C180016635","wikidata":"https://www.wikidata.org/wiki/Q2712821","display_name":"Compression (physics)","level":2,"score":0.2554999887943268},{"id":"https://openalex.org/C2776400721","wikidata":"https://www.wikidata.org/wiki/Q18171762","display_name":"Symbolic regression","level":3,"score":0.2500999867916107}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.16166","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2602.16166","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.16166","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:doi:10.48550/arxiv.2602.16166","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Discovering":[0],"the":[1,26,32,95,119,142],"unknown":[2,190],"governing":[3,192],"equations":[4],"of":[5,28,34,144,166,186],"grid-connected":[6],"inverters":[7],"from":[8,104],"external":[9],"measurements":[10],"holds":[11],"significant":[12],"attraction":[13],"for":[14,69,156],"analyzing":[15],"modern":[16],"inverter-intensive":[17],"power":[18,187],"systems.":[19],"However,":[20],"existing":[21],"methods":[22],"struggle":[23],"to":[24,57,82,107,137,174],"balance":[25],"identification":[27,128],"unmodeled":[29],"nonlinearities":[30],"with":[31,62,189],"preservation":[33],"physical":[35],"consistency.":[36],"To":[37],"address":[38],"this,":[39],"this":[40],"paper":[41],"proposes":[42],"a":[43,53,63,75,101,114,171],"Physics-Informed":[44],"Sparse":[45],"Machine":[46],"Learning":[47],"(PISML)":[48],"framework.":[49],"The":[50],"architecture":[51],"integrates":[52],"sparse":[54],"symbolic":[55,92],"backbone":[56],"capture":[58],"dominant":[59],"model":[60],"skeletons":[61],"neural":[64,96,146],"residual":[65,97],"branch":[66],"that":[67],"compensates":[68],"complex":[70],"nonlinear":[71],"control":[72,109],"logic.":[73],"Meanwhile,":[74],"Jacobian-regularized":[76],"physics-informed":[77],"training":[78],"mechanism":[79],"is":[80],"introduced":[81],"enforce":[83],"multi-scale":[84],"consistency":[85],"including":[86],"large/small-scale":[87],"behaviors.":[88],"Furthermore,":[89],"by":[90,129,132,164],"performing":[91],"regression":[93],"on":[94,113],"branch,":[98],"PISML":[99],"achieves":[100,126],"tractable":[102],"mapping":[103],"black-box":[105],"data":[106],"explicit":[108,150,180],"equations.":[110,193],"Experimental":[111],"results":[112],"high-fidelity":[115],"Hardware-in-the-Loop":[116],"platform":[117],"demonstrate":[118],"framework's":[120],"superior":[121],"performance.":[122],"It":[123,168],"not":[124],"only":[125],"high-resolution":[127],"reducing":[130],"error":[131],"over":[133],"340":[134],"times":[135],"compared":[136],"baselines":[138],"but":[139],"also":[140,169],"realizes":[141],"compression":[143],"heavy":[145],"networks":[147],"into":[148,179],"compact":[149],"forms.":[151],"This":[152],"restores":[153],"analytical":[154],"tractability":[155],"rigorous":[157],"stability":[158,184],"analysis":[159,185],"and":[160],"reduces":[161],"computational":[162],"complexity":[163],"orders":[165],"magnitude.":[167],"provides":[170],"unified":[172],"pathway":[173],"convert":[175],"structurally":[176],"inaccessible":[177],"devices":[178],"mathematical":[181],"models,":[182],"enabling":[183],"systems":[188],"inverter":[191]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2026-02-20T00:00:00"}