{"id":"https://openalex.org/W7151742758","doi":"https://doi.org/10.48550/arxiv.2604.05799","title":"From Points to Sets: Set-Based Safety Verification in the Latent Space","display_name":"From Points to Sets: Set-Based Safety Verification in the Latent Space","publication_year":2026,"publication_date":"2026-04-07","ids":{"openalex":"https://openalex.org/W7151742758","doi":"https://doi.org/10.48550/arxiv.2604.05799"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.05799","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.05799","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.2604.05799","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5133172190","display_name":"Wenyuan Wu","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Wu, Wenyuan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133213489","display_name":"Peng Xie","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xie, Peng","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133178697","display_name":"Zhen Zhang","orcid":"https://orcid.org/0000-0003-2228-4078"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhang, Zhen","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133150356","display_name":"Yanliang Huang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Huang, Yanliang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133177105","display_name":"Karl H. Johansson","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Johansson, Karl H.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5122620783","display_name":"Amr Alanwar","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alanwar, Amr","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5133172190"],"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":0.5856999754905701,"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":0.5856999754905701,"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/T10142","display_name":"Formal Methods in Verification","score":0.24699999392032623,"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"}},{"id":"https://openalex.org/T11424","display_name":"Security and Verification in Computing","score":0.015599999576807022,"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/set","display_name":"Set (abstract data type)","score":0.5590999722480774},{"id":"https://openalex.org/keywords/margin","display_name":"Margin (machine learning)","score":0.5386000275611877},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4316999912261963},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4244000017642975},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4198000133037567},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4041999876499176},{"id":"https://openalex.org/keywords/system-safety","display_name":"System safety","score":0.38690000772476196}],"concepts":[{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5590999722480774},{"id":"https://openalex.org/C774472","wikidata":"https://www.wikidata.org/wiki/Q6760393","display_name":"Margin (machine learning)","level":2,"score":0.5386000275611877},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5311999917030334},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.44269999861717224},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4316999912261963},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4244000017642975},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4198000133037567},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4041999876499176},{"id":"https://openalex.org/C132835097","wikidata":"https://www.wikidata.org/wiki/Q7663745","display_name":"System safety","level":2,"score":0.38690000772476196},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.35850000381469727},{"id":"https://openalex.org/C2777488183","wikidata":"https://www.wikidata.org/wiki/Q6900510","display_name":"Safety monitoring","level":2,"score":0.3531999886035919},{"id":"https://openalex.org/C96865113","wikidata":"https://www.wikidata.org/wiki/Q2946816","display_name":"Certificate","level":2,"score":0.3296000063419342},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.3165999948978424},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30970001220703125},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.2994999885559082},{"id":"https://openalex.org/C118505674","wikidata":"https://www.wikidata.org/wiki/Q42586063","display_name":"Encoder","level":2,"score":0.29789999127388},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2648000121116638},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.263700008392334},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2563999891281128},{"id":"https://openalex.org/C3018395757","wikidata":"https://www.wikidata.org/wiki/Q1379672","display_name":"Evaluation methods","level":2,"score":0.25060001015663147}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.05799","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.05799","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.2604.05799","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.05799","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,71],"extend":[1],"latent":[2,23,88],"representation":[3],"methods":[4,36],"for":[5,118,123,138,184],"safety":[6,27,48,69,130,159],"control":[7],"design":[8],"to":[9,30,57,85,116,168],"set-valued":[10,109],"states.":[11],"Recent":[12],"work":[13],"has":[14],"shown":[15],"that":[16],"barrier":[17],"functions":[18],"designed":[19],"in":[20,131],"a":[21,78,87,102,124],"learned":[22],"space":[24],"can":[25,50],"transfer":[26],"guarantees":[28],"back":[29],"the":[31,58,64,74,83,94,98,182],"original":[32],"system,":[33],"but":[34,54],"these":[35],"evaluate":[37,91],"certificates":[38,92],"at":[39],"single":[40,176],"state":[41,44,76],"points,":[42],"ignoring":[43],"uncertainty.":[45],"A":[46],"fixed":[47,177],"margin":[49,178],"partially":[51],"address":[52],"this":[53,141],"cannot":[55],"adapt":[56],"anisotropic":[59],"and":[60,90,121,140,163,180],"time-varying":[61],"nature":[62],"of":[63,97,133],"uncertainty":[65],"gap":[66,160],"across":[67,170],"different":[68],"constraints.":[70],"instead":[72],"represent":[73],"system":[75],"as":[77],"zonotope,":[79,89],"propagate":[80],"it":[81],"through":[82],"encoder":[84],"obtain":[86],"over":[93],"worst":[95],"case":[96],"entire":[99],"set.":[100],"On":[101],"16-dimensional":[103],"quadrotor":[104],"suspended-load":[105],"gate":[106],"passage":[107],"task,":[108],"evaluation":[110,120,128,150,165,190],"achieves":[111],"5/5":[112],"collision-free":[113],"passages,":[114],"compared":[115],"1/5":[117],"point-based":[119],"2/5":[122],"fixed-margin":[125],"baseline.":[126],"Set":[127],"reports":[129],"44.4%":[132],"per-head":[134],"evaluations":[135],"versus":[136],"48.5%":[137],"point-based,":[139],"greater":[142],"conservatism":[143],"detects":[144],"4.1%":[145],"blind":[146],"spots":[147],"where":[148],"point":[149,162],"falsely":[151],"certifies":[152],"safety,":[153],"enabling":[154],"earlier":[155],"corrective":[156],"control.":[157],"The":[158],"between":[161],"set":[164,189],"varies":[166],"up":[167],"$12\\times$":[169],"certificate":[171],"heads,":[172],"explaining":[173],"why":[174],"no":[175],"suffices":[179],"confirming":[181],"need":[183],"per-head,":[185],"per-timestep":[186],"adaptation,":[187],"which":[188],"provides":[191],"by":[192],"construction.":[193]},"counts_by_year":[],"updated_date":"2026-04-09T06:13:59.934233","created_date":"2026-04-09T00:00:00"}