{"id":"https://openalex.org/W3110646494","doi":"https://doi.org/10.1109/cdc45484.2021.9683169","title":"SReachTools Kernel Module: Data-Driven Stochastic Reachability Using Hilbert Space Embeddings of Distributions","display_name":"SReachTools Kernel Module: Data-Driven Stochastic Reachability Using Hilbert Space Embeddings of Distributions","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W3110646494","doi":"https://doi.org/10.1109/cdc45484.2021.9683169","mag":"3110646494"},"language":"en","primary_location":{"id":"doi:10.1109/cdc45484.2021.9683169","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683169","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2011.10610","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032775298","display_name":"Adam J. Thorpe","orcid":"https://orcid.org/0000-0001-7120-0913"},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Adam J. Thorpe","raw_affiliation_strings":["University of New Mexico,Electrical &#x0026; Computer Eng,Abq,NM","University of New Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of New Mexico,Electrical &#x0026; Computer Eng,Abq,NM","institution_ids":["https://openalex.org/I169521973"]},{"raw_affiliation_string":"University of New Mexico","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062807127","display_name":"Kendric R. Ortiz","orcid":"https://orcid.org/0000-0002-0468-7757"},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kendric R. Ortiz","raw_affiliation_strings":["University of New Mexico,Electrical &#x0026; Computer Eng,Abq,NM","University of New Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of New Mexico,Electrical &#x0026; Computer Eng,Abq,NM","institution_ids":["https://openalex.org/I169521973"]},{"raw_affiliation_string":"University of New Mexico","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070060161","display_name":"Meeko Oishi","orcid":"https://orcid.org/0000-0003-3722-8837"},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Meeko M. K. Oishi","raw_affiliation_strings":["University of New Mexico,Electrical &#x0026; Computer Eng,Abq,NM","University of New Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of New Mexico,Electrical &#x0026; Computer Eng,Abq,NM","institution_ids":["https://openalex.org/I169521973"]},{"raw_affiliation_string":"University of New Mexico","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00674677,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"5073","last_page":"5079"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9797000288963318,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9610000252723694,"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/reachability","display_name":"Reachability","score":0.8540973663330078},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6534737944602966},{"id":"https://openalex.org/keywords/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.5702834129333496},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49560821056365967},{"id":"https://openalex.org/keywords/double-integrator","display_name":"Double integrator","score":0.4905199408531189},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.48077863454818726},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4327299892902374},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.4187055230140686},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4005064070224762},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.388764888048172},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32120004296302795},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.19272133708000183},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1695258915424347},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1103702187538147}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.8540973663330078},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6534737944602966},{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.5702834129333496},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49560821056365967},{"id":"https://openalex.org/C2779323837","wikidata":"https://www.wikidata.org/wiki/Q5300045","display_name":"Double integrator","level":3,"score":0.4905199408531189},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.48077863454818726},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4327299892902374},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4187055230140686},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4005064070224762},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.388764888048172},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32120004296302795},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.19272133708000183},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1695258915424347},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1103702187538147},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cdc45484.2021.9683169","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683169","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2011.10610","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2011.10610","pdf_url":"https://arxiv.org/pdf/2011.10610","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3110646494","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2011.10610","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2011.10610","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2011.10610","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:oai:arXiv.org:2011.10610","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2011.10610","pdf_url":"https://arxiv.org/pdf/2011.10610","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332369","display_name":"National Nuclear Security Administration","ror":"https://ror.org/03sk1we31"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3110646494.pdf"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W615510159","https://openalex.org/W1512937499","https://openalex.org/W1862398452","https://openalex.org/W1898511152","https://openalex.org/W1992244412","https://openalex.org/W2012501405","https://openalex.org/W2012811607","https://openalex.org/W2062533874","https://openalex.org/W2084772009","https://openalex.org/W2138153286","https://openalex.org/W2144902422","https://openalex.org/W2146641075","https://openalex.org/W2160536246","https://openalex.org/W2418306335","https://openalex.org/W2593166942","https://openalex.org/W2593267253","https://openalex.org/W2937290319","https://openalex.org/W2939750219","https://openalex.org/W2957311447","https://openalex.org/W2962746664","https://openalex.org/W2963389768","https://openalex.org/W2964079458","https://openalex.org/W2991096134","https://openalex.org/W3011343357","https://openalex.org/W3092670197","https://openalex.org/W3098617035","https://openalex.org/W3101183984","https://openalex.org/W3125949109","https://openalex.org/W3185186402","https://openalex.org/W6679147141","https://openalex.org/W6680315907","https://openalex.org/W6681302627","https://openalex.org/W6733977634","https://openalex.org/W6765357536","https://openalex.org/W6783875902","https://openalex.org/W6784524213"],"related_works":["https://openalex.org/W2973642607","https://openalex.org/W2132452128","https://openalex.org/W2939750219","https://openalex.org/W3012143895","https://openalex.org/W192952563","https://openalex.org/W2188550283","https://openalex.org/W2484781921","https://openalex.org/W2607115544","https://openalex.org/W100449171","https://openalex.org/W2205591433","https://openalex.org/W2990916720","https://openalex.org/W2079376791","https://openalex.org/W1879271770","https://openalex.org/W1568518466","https://openalex.org/W1604596197","https://openalex.org/W2886025101","https://openalex.org/W2068951165","https://openalex.org/W1591563876","https://openalex.org/W2947417799","https://openalex.org/W2512154443"],"abstract_inverted_index":{"We":[0,100],"present":[1],"algorithms":[2],"for":[3,38],"performing":[4],"data-driven":[5],"stochastic":[6,15,43,80],"reachability":[7,16,44,81],"as":[8,28,55,84,104],"an":[9,13],"addition":[10],"to":[11,33],"SReachTools,":[12,107],"open-source":[14],"toolbox.":[17],"Our":[18],"method":[19],"leverages":[20],"a":[21,39,58,71,113,118,125,129],"class":[22],"of":[23,31,42,51,106],"machine":[24],"learning":[25],"techniques":[26],"known":[27,96],"kernel":[29,60],"embeddings":[30],"distributions":[32,50],"approximate":[34],"the":[35,48,52,66,79],"safety":[36,82],"probabilities":[37,83],"wide":[40],"variety":[41],"problems.":[45],"By":[46],"representing":[47],"probability":[49],"system":[53,127],"state":[54],"elements":[56],"in":[57,98],"reproducing":[59],"Hilbert":[61],"space,":[62],"we":[63],"can":[64],"learn":[65],"\"best":[67],"fit\"":[68],"distribution":[69],"via":[70],"simple":[72,85],"regularized":[73],"least-squares":[74],"problem,":[75],"and":[76,94,108,124],"then":[77],"compute":[78],"linear":[86],"operations.":[87],"This":[88],"technique":[89],"admits":[90],"finite":[91],"sample":[92],"bounds":[93],"has":[95],"convergence":[97],"probability.":[99],"implement":[101],"these":[102],"methods":[103],"part":[105],"demonstrate":[109],"their":[110],"use":[111],"on":[112,117],"double":[114],"integrator":[115],"system,":[116,123],"million-dimensional":[119],"repeated":[120],"planar":[121],"quadrotor":[122],"cart-pole":[126],"with":[128],"black-box":[130],"neural":[131],"network":[132],"controller.":[133]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
