{"id":"https://openalex.org/W7117247776","doi":"https://doi.org/10.1109/lcsys.2025.3648635","title":"Uniform Sampling From the Reachable Set Using Optimal Transport","display_name":"Uniform Sampling From the Reachable Set Using Optimal Transport","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W7117247776","doi":"https://doi.org/10.1109/lcsys.2025.3648635"},"language":null,"primary_location":{"id":"doi:10.1109/lcsys.2025.3648635","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2025.3648635","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034305084","display_name":"Karthik Elamvazhuthi","orcid":"https://orcid.org/0000-0003-0849-5178"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Karthik Elamvazhuthi","raw_affiliation_strings":["Applied Mathematics & Plasma Physics Division, Los Alamos National Laboratory, Los Alamos, NM, USA"],"raw_orcid":"https://orcid.org/0000-0003-0849-5178","affiliations":[{"raw_affiliation_string":"Applied Mathematics & Plasma Physics Division, Los Alamos National Laboratory, Los Alamos, NM, USA","institution_ids":["https://openalex.org/I1343871089"]}]},{"author_position":"last","author":{"id":null,"display_name":"Sachin Shivakumar","orcid":"https://orcid.org/0000-0003-1353-2834"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sachin Shivakumar","raw_affiliation_strings":["Applied Mathematics & Plasma Physics Division and the Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM, USA"],"raw_orcid":"https://orcid.org/0000-0003-1353-2834","affiliations":[{"raw_affiliation_string":"Applied Mathematics & Plasma Physics Division and the Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM, USA","institution_ids":["https://openalex.org/I1343871089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034305084"],"corresponding_institution_ids":["https://openalex.org/I1343871089"],"apc_list":null,"apc_paid":null,"fwci":2.3273,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.92294325,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"9","issue":null,"first_page":"3065","last_page":"3070"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.15950000286102295,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.15950000286102295,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.09070000052452087,"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/T11236","display_name":"Control Systems and Identification","score":0.060100000351667404,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5449000000953674},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5293999910354614},{"id":"https://openalex.org/keywords/terminal","display_name":"Terminal (telecommunication)","score":0.5192000269889832},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4726000130176544},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4510999917984009},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.42739999294281006},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.38659998774528503}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6345000267028809},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5449000000953674},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5293999910354614},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.52920001745224},{"id":"https://openalex.org/C2779664074","wikidata":"https://www.wikidata.org/wiki/Q3518405","display_name":"Terminal (telecommunication)","level":2,"score":0.5192000269889832},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4726000130176544},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4510999917984009},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.42739999294281006},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.38659998774528503},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.35740000009536743},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3474000096321106},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.32440000772476196},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.3084999918937683},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.28279998898506165},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.2802000045776367},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2786000072956085},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2777999937534332},{"id":"https://openalex.org/C108882938","wikidata":"https://www.wikidata.org/wiki/Q274506","display_name":"Uniform distribution (continuous)","level":2,"score":0.27709999680519104},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27649998664855957},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2651999890804291}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2025.3648635","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2025.3648635","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"No poverty","score":0.5363962054252625,"id":"https://metadata.un.org/sdg/1"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320338304","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W416122618","https://openalex.org/W635978813","https://openalex.org/W1566287143","https://openalex.org/W1985506636","https://openalex.org/W2065798383","https://openalex.org/W2076067997","https://openalex.org/W2504943536","https://openalex.org/W2612241113","https://openalex.org/W2963172141","https://openalex.org/W2964040381","https://openalex.org/W3157497799","https://openalex.org/W3175831284","https://openalex.org/W3177242545","https://openalex.org/W4404862468","https://openalex.org/W4406681238","https://openalex.org/W4410115038","https://openalex.org/W7117247776"],"related_works":[],"abstract_inverted_index":{"Estimating":[0],"the":[1,41,55,66,71,75,81,100,114,119,149],"reachable":[2,42,101],"set":[3,102],"of":[4,40,50,113],"a":[5,9,46,88,132,155],"dynamical":[6],"system":[7,72],"is":[8,68,96,103],"fundamental":[10],"problem":[11,56,137],"in":[12,37],"control":[13,17,136,171],"theory,":[14],"particularly":[15],"when":[16],"inputs":[18],"are":[19],"bounded.":[20],"Direct":[21],"simulation":[22],"using":[23],"randomly":[24],"sampled":[25],"admissible":[26],"controls":[27,83],"often":[28],"leads":[29],"to":[30,69,148],"trajectories":[31],"that":[32,74,117,144,161],"cluster":[33],"near":[34],"attractors,":[35],"resulting":[36,126],"poor":[38],"coverage":[39],"set.":[43],"To":[44],"achieve":[45],"more":[47,165],"uniform":[48,123,166],"distribution":[49,116],"terminal":[51,115,140],"states,":[52],"we":[53,107],"formulate":[54],"within":[57],"an":[58,109],"Optimal":[59],"Transport":[60],"(OT)":[61],"framework.":[62],"In":[63],"this":[64,93,145],"setting,":[65],"goal":[67],"steer":[70],"so":[73],"final":[76],"state":[77],"distribution,":[78],"determined":[79],"by":[80,131],"chosen":[82],"and":[84,152,157],"initial":[85],"conditions,":[86],"matches":[87],"desired":[89],"target":[90],"distribution.":[91],"Enforcing":[92],"condition":[94],"exactly":[95],"not":[97,104],"possible":[98],"since":[99],"known.":[105],"So":[106],"introduce":[108],"L2-norm":[110],"based":[111],"regularization":[112],"relaxes":[118],"constraint":[120],"while":[121],"promoting":[122],"coverage.":[124],"The":[125],"formulation":[127,151],"can":[128],"be":[129],"approximated":[130],"finite-dimensional,":[133],"particle-based":[134],"optimal":[135],"with":[138],"kernel-coupled":[139],"cost.":[141],"We":[142],"show":[143],"approach":[146],"converges":[147],"original":[150],"demonstrate":[153],"through":[154],"2D":[156],"6D":[158],"numerical":[159],"example":[160],"it":[162],"provides":[163],"significantly":[164],"reachable-set":[167],"sampling":[168],"than":[169],"random":[170],"strategies.":[172]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-01-08T20:05:33.558190","created_date":"2025-12-25T00:00:00"}