{"id":"https://openalex.org/W7127930407","doi":"https://doi.org/10.48550/arxiv.2602.04675","title":"Generalized Schr\u00f6dinger Bridge on Graphs","display_name":"Generalized Schr\u00f6dinger Bridge on Graphs","publication_year":2026,"publication_date":"2026-02-04","ids":{"openalex":"https://openalex.org/W7127930407","doi":"https://doi.org/10.48550/arxiv.2602.04675"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.04675","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"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":"Article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5125244476","display_name":"Panagiotis Theodoropoulos","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Theodoropoulos, Panagiotis","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125226715","display_name":"Juno Nam","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nam, Juno","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102986128","display_name":"Evangelos Theodorou","orcid":"https://orcid.org/0000-0002-8270-2473"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Theodorou, Evangelos","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5125151640","display_name":"Jaemoo Choi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Choi, Jaemoo","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5125244476"],"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.7616000175476074,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.7616000175476074,"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/T12292","display_name":"Graph Theory and Algorithms","score":0.04179999977350235,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.013000000268220901,"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/scalability","display_name":"Scalability","score":0.6480000019073486},{"id":"https://openalex.org/keywords/executable","display_name":"Executable","score":0.5767999887466431},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5343999862670898},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.5256999731063843},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5146999955177307},{"id":"https://openalex.org/keywords/bridge","display_name":"Bridge (graph theory)","score":0.4643999934196472},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.38909998536109924}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6601999998092651},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.6480000019073486},{"id":"https://openalex.org/C160145156","wikidata":"https://www.wikidata.org/wiki/Q778586","display_name":"Executable","level":2,"score":0.5767999887466431},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5343999862670898},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.5256999731063843},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5146999955177307},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.47589999437332153},{"id":"https://openalex.org/C100776233","wikidata":"https://www.wikidata.org/wiki/Q2532492","display_name":"Bridge (graph theory)","level":2,"score":0.4643999934196472},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.38909998536109924},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37929999828338623},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.36980000138282776},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.35519999265670776},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.3488999903202057},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2906000018119812},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.28839999437332153},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.2822999954223633},{"id":"https://openalex.org/C157406716","wikidata":"https://www.wikidata.org/wiki/Q4115842","display_name":"Topological graph theory","level":5,"score":0.25270000100135803}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.04675","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"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":"Article"},{"id":"doi:10.48550/arxiv.2602.04675","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.04675","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":"pmh:doi:10.48550/arxiv.2602.04675","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"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":"Article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.413118839263916,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Transportation":[0],"on":[1,32,59,76,120,151],"graphs":[2,78],"is":[3,98],"a":[4,62,101],"fundamental":[5],"challenge":[6],"across":[7,38],"many":[8],"domains,":[9],"where":[10],"decisions":[11],"must":[12],"respect":[13],"topological":[14],"and":[15,41,47,93,143],"operational":[16],"constraints.":[17],"Despite":[18],"the":[19,106],"need":[20],"for":[21,67,147],"actionable":[22],"policies,":[23,88],"existing":[24],"graph-transport":[25],"methods":[26],"lack":[27],"this":[28],"expressivity.":[29],"They":[30],"rely":[31],"restrictive":[33],"assumptions,":[34],"fail":[35],"to":[36],"generalize":[37],"sparse":[39],"topologies,":[40],"scale":[42],"poorly":[43],"with":[44],"graph":[45,123],"size":[46],"time":[48],"horizon.":[49],"To":[50],"address":[51],"these":[52],"issues,":[53],"we":[54],"introduce":[55],"Generalized":[56],"Schr\u00f6dinger":[57],"Bridge":[58],"Graphs":[60],"(GSBoG),":[61],"novel":[63],"scalable":[64],"data-driven":[65],"framework":[66],"learning":[68],"executable":[69],"controlled":[70],"continuous-time":[71],"Markov":[72],"chain":[73],"(CTMC)":[74],"policies":[75,132],"arbitrary":[77],"under":[79,114],"state":[80,137],"cost":[81],"augmented":[82],"dynamics.":[83],"Notably,":[84],"GSBoG":[85,127],"learns":[86,129],"trajectory-level":[87],"avoiding":[89],"dense":[90],"global":[91],"solvers":[92],"thereby":[94],"enhancing":[95],"scalability.":[96],"This":[97],"achieved":[99],"via":[100],"likelihood":[102],"optimization":[103],"approach,":[104],"satisfying":[105],"endpoint":[107],"marginals,":[108],"while":[109,133],"simultaneously":[110],"optimizing":[111,134],"intermediate":[112,136],"behavior":[113],"state-dependent":[115],"running":[116],"costs.":[117],"Extensive":[118],"experimentation":[119],"challenging":[121],"real-world":[122],"topologies":[124],"shows":[125],"that":[126],"reliably":[128],"accurate,":[130],"topology-respecting":[131],"application-specific":[135],"costs,":[138],"highlighting":[139],"its":[140],"broad":[141],"applicability":[142],"paving":[144],"new":[145],"avenues":[146],"cost-aware":[148],"dynamical":[149],"transport":[150],"general":[152],"graphs.":[153]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2026-02-07T00:00:00"}
