{"id":"https://openalex.org/W7118262036","doi":"https://doi.org/10.48550/arxiv.2601.01076","title":"Scalable Data-Driven Reachability Analysis and Control via Koopman Operators with Conformal Coverage Guarantees","display_name":"Scalable Data-Driven Reachability Analysis and Control via Koopman Operators with Conformal Coverage Guarantees","publication_year":2026,"publication_date":"2026-01-03","ids":{"openalex":"https://openalex.org/W7118262036","doi":"https://doi.org/10.48550/arxiv.2601.01076"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2601.01076","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.01076","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":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.2601.01076","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5122014737","display_name":"Devesh Nath","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Nath, Devesh","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101400127","display_name":"Haoran Yin","orcid":"https://orcid.org/0009-0005-7419-7488"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yin, Haoran","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5006149535","display_name":"Glen Chou","orcid":"https://orcid.org/0000-0003-4444-3631"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chou, Glen","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5122014737"],"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/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.5388000011444092,"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"}},"topics":[{"id":"https://openalex.org/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.5388000011444092,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.4203999936580658,"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/T10142","display_name":"Formal Methods in Verification","score":0.006300000008195639,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.7605000138282776},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.589900016784668},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5823000073432922},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5645999908447266},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5554999709129333},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5271999835968018},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4927999973297119},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4602999985218048},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.4526999890804291}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.7605000138282776},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.589900016784668},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5823000073432922},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5645999908447266},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5554999709129333},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5468999743461609},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5271999835968018},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4927999973297119},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4602999985218048},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.4526999890804291},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4318000078201294},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4203000068664551},{"id":"https://openalex.org/C206588197","wikidata":"https://www.wikidata.org/wiki/Q846574","display_name":"Reuse","level":2,"score":0.41589999198913574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3856000006198883},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3716000020503998},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3619000017642975},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3488999903202057},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3472000062465668},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3440999984741211},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.31470000743865967},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.31200000643730164},{"id":"https://openalex.org/C2777669093","wikidata":"https://www.wikidata.org/wiki/Q17141570","display_name":"Reachability problem","level":3,"score":0.29100000858306885},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.28380000591278076},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.28380000591278076},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.26579999923706055},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.26570001244544983},{"id":"https://openalex.org/C2777168461","wikidata":"https://www.wikidata.org/wiki/Q42196253","display_name":"Set operations","level":3,"score":0.2644999921321869},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.263700008392334},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.26019999384880066},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.2581000030040741},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.25360000133514404},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2526000142097473}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2601.01076","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.01076","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":"doi:10.48550/arxiv.2601.01076","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.01076","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":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":[0,15],"propose":[1],"a":[2,20,47,107],"scalable":[3],"reachability-based":[4],"framework":[5],"for":[6],"probabilistic,":[7],"data-driven":[8],"safety":[9],"verification":[10,71],"of":[11,32,46],"unknown":[12],"nonlinear":[13],"dynamics.":[14],"use":[16],"Koopman":[17,79],"theory":[18],"with":[19,106],"neural":[21],"network":[22],"(NN)":[23],"lifting":[24],"function":[25],"to":[26,42,64,89,99],"learn":[27],"an":[28],"approximate":[29],"linear":[30,37],"representation":[31],"the":[33,58,65,78,82,96,101],"dynamics":[34,80],"and":[35,61,81,128,139],"design":[36],"controllers":[38],"in":[39,57],"this":[40],"space":[41,60,68],"enable":[43],"closed-loop":[44],"tracking":[45],"reference":[48],"trajectory":[49],"distribution.":[50],"Closed-loop":[51],"reachable":[52,97,133],"sets":[53,98],"are":[54,104],"efficiently":[55],"computed":[56],"lifted":[59],"mapped":[62],"back":[63],"original":[66],"state":[67],"via":[69],"NN":[70],"tools.":[72],"To":[73],"capture":[74],"model":[75],"mismatch":[76],"between":[77],"true":[83,102],"system,":[84],"we":[85],"apply":[86],"conformal":[87],"prediction":[88],"produce":[90],"statistically-valid":[91],"error":[92],"bounds":[93,111],"that":[94],"inflate":[95],"ensure":[100],"trajectories":[103],"contained":[105],"user-specified":[108],"probability.":[109],"These":[110],"generalize":[112],"across":[113],"references,":[114],"enabling":[115],"reuse":[116],"without":[117],"recomputation.":[118],"Results":[119],"on":[120],"high-dimensional":[121],"MuJoCo":[122],"tasks":[123],"(11D":[124],"Hopper,":[125],"28D":[126],"Swimmer)":[127],"12D":[129],"quadcopters":[130],"show":[131],"improved":[132],"set":[134],"coverage":[135],"rate,":[136],"computational":[137],"efficiency,":[138],"conservativeness":[140],"over":[141],"existing":[142],"methods.":[143]},"counts_by_year":[],"updated_date":"2026-01-08T20:10:11.968330","created_date":"2026-01-08T00:00:00"}