{"id":"https://openalex.org/W4392223994","doi":"https://doi.org/10.1109/lcsys.2024.3397228","title":"Minimum Energy Density Steering of Linear Systems With Gromov-Wasserstein Terminal Cost","display_name":"Minimum Energy Density Steering of Linear Systems With Gromov-Wasserstein Terminal Cost","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4392223994","doi":"https://doi.org/10.1109/lcsys.2024.3397228"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2024.3397228","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/lcsys.2024.3397228","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"http://dx.doi.org/10.1109/lcsys.2024.3397228","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103159318","display_name":"Kohei Morimoto","orcid":"https://orcid.org/0009-0006-0146-5717"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]},{"id":"https://openalex.org/I39012071","display_name":"Kyoto College of Graduate Studies for Informatics","ror":"https://ror.org/05mzj8a56","country_code":"JP","type":"education","lineage":["https://openalex.org/I39012071"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kohei Morimoto","raw_affiliation_strings":["Graduate School of Informatics, Kyoto University, Kyoto, Japan"],"raw_orcid":"https://orcid.org/0009-0006-0146-5717","affiliations":[{"raw_affiliation_string":"Graduate School of Informatics, Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I22299242","https://openalex.org/I39012071"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066521241","display_name":"Kenji Kashima","orcid":"https://orcid.org/0000-0002-2963-2584"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]},{"id":"https://openalex.org/I39012071","display_name":"Kyoto College of Graduate Studies for Informatics","ror":"https://ror.org/05mzj8a56","country_code":"JP","type":"education","lineage":["https://openalex.org/I39012071"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kenji Kashima","raw_affiliation_strings":["Graduate School of Informatics, Kyoto University, Kyoto, Japan"],"raw_orcid":"https://orcid.org/0000-0002-2963-2584","affiliations":[{"raw_affiliation_string":"Graduate School of Informatics, Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I22299242","https://openalex.org/I39012071"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03362759,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":null,"first_page":"586","last_page":"591"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10706","display_name":"Traumatic Brain Injury and Neurovascular Disturbances","score":0.9801999926567078,"subfield":{"id":"https://openalex.org/subfields/2728","display_name":"Neurology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10706","display_name":"Traumatic Brain Injury and Neurovascular Disturbances","score":0.9801999926567078,"subfield":{"id":"https://openalex.org/subfields/2728","display_name":"Neurology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11867","display_name":"Traumatic Ocular and Foreign Body Injuries","score":0.9498999714851379,"subfield":{"id":"https://openalex.org/subfields/2731","display_name":"Ophthalmology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10238","display_name":"Spine and Intervertebral Disc Pathology","score":0.9259999990463257,"subfield":{"id":"https://openalex.org/subfields/2734","display_name":"Pathology and Forensic Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/terminal","display_name":"Terminal (telecommunication)","score":0.756765604019165},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6246381402015686},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5477475523948669},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5091068148612976},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5088213086128235},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.49329274892807007},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.46431469917297363},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4555583596229553},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.450167715549469},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.4331273138523102},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4118145704269409},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.41138726472854614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29847896099090576},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.23846584558486938},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19423970580101013},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14998221397399902},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08821043372154236},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07988011837005615}],"concepts":[{"id":"https://openalex.org/C2779664074","wikidata":"https://www.wikidata.org/wiki/Q3518405","display_name":"Terminal (telecommunication)","level":2,"score":0.756765604019165},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6246381402015686},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5477475523948669},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5091068148612976},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5088213086128235},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.49329274892807007},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.46431469917297363},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4555583596229553},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.450167715549469},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4331273138523102},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4118145704269409},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41138726472854614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29847896099090576},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.23846584558486938},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19423970580101013},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14998221397399902},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08821043372154236},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07988011837005615},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lcsys.2024.3397228","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/lcsys.2024.3397228","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2402.15942","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2402.15942","pdf_url":"https://arxiv.org/pdf/2402.15942","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.1109/lcsys.2024.3397228","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/lcsys.2024.3397228","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8999999761581421,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G4044435879","display_name":"\u60c5\u5831\u306e\u53d6\u5f97\u3092\u5305\u542b\u3057\u305f\u5236\u5fa1\u7406\u8ad6\u3068\u7d71\u8a08\u7684\u5b66\u7fd2\u7406\u8ad6\u306e\u878d\u5408\u6570\u7406\u57fa\u76e4","funder_award_id":"21H04875","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320322622","display_name":"Toyota Motor Corporation","ror":"https://ror.org/02zqm6r10"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W81972919","https://openalex.org/W1858982327","https://openalex.org/W2027842533","https://openalex.org/W2035400420","https://openalex.org/W2091818260","https://openalex.org/W2108261524","https://openalex.org/W2474265885","https://openalex.org/W2502449663","https://openalex.org/W2513846512","https://openalex.org/W2964011539","https://openalex.org/W3147942621","https://openalex.org/W4225570392","https://openalex.org/W4245164763","https://openalex.org/W4327630167","https://openalex.org/W4385832219","https://openalex.org/W4391022113","https://openalex.org/W6681785522","https://openalex.org/W6696497002","https://openalex.org/W6838549709","https://openalex.org/W6846518478","https://openalex.org/W6857209033"],"related_works":["https://openalex.org/W3211557223","https://openalex.org/W1528816634","https://openalex.org/W2007036916","https://openalex.org/W4206528302","https://openalex.org/W872563264","https://openalex.org/W2164087676","https://openalex.org/W4240867999","https://openalex.org/W2416728927","https://openalex.org/W2120266540","https://openalex.org/W3153752017"],"abstract_inverted_index":{"In":[0],"this":[1],"letter,":[2],"we":[3,105],"newly":[4],"formulate":[5],"and":[6,51],"solve":[7],"the":[8,25,32,35,39,44,65,69,82,99,108,112,120,127],"optimal":[9],"density":[10],"control":[11,122],"problem":[12,83],"with":[13,119],"Gromov-Wasserstein":[14],"(GW)":[15],"terminal":[16,70,113],"cost":[17],"in":[18,31,41],"discrete-time":[19],"linear":[20],"Gaussian":[21],"systems.":[22],"Differently":[23],"from":[24],"Wasserstein":[26],"or":[27],"Kullback-Leibler":[28],"distances":[29],"employed":[30],"existing":[33],"works,":[34],"GW":[36],"distance":[37],"quantifies":[38],"difference":[40],"shapes":[42],"of":[43,68,90],"distribution,":[45,71],"which":[46,72,94],"is":[47,95],"invariant":[48],"under":[49],"translation":[50],"rotation.":[52],"Consequently,":[53],"our":[54],"formulation":[55],"allows":[56],"us":[57],"to":[58,87],"find":[59],"small":[60],"energy":[61,123],"inputs":[62],"that":[63,81,107,115],"achieve":[64],"desired":[66],"shape":[67],"has":[73],"practical":[74],"applications,":[75],"e.g.,":[76],"robotic":[77],"swarms.":[78],"We":[79],"demonstrate":[80],"can":[84,116],"be":[85,117],"reduced":[86],"a":[88],"Difference":[89],"Convex":[91],"(DC)":[92],"programming,":[93],"efficiently":[96],"solvable":[97],"through":[98],"DC":[100],"algorithm.":[101],"Through":[102],"numerical":[103],"experiments,":[104],"confirm":[106],"state":[109],"distribution":[110,114],"reaches":[111],"realized":[118],"minimum":[121],"among":[124],"those":[125],"having":[126],"specified":[128],"shape.":[129]},"counts_by_year":[],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2024-02-28T00:00:00"}
