{"id":"https://openalex.org/W7157075491","doi":"https://doi.org/10.48550/arxiv.2604.23370","title":"Nonlinear Non-Gaussian Density Steering with Input and Noise Channel Mismatch: Sinkhorn with Memory for Solving the Control-affine Schr\u00f6dinger Bridge Problem","display_name":"Nonlinear Non-Gaussian Density Steering with Input and Noise Channel Mismatch: Sinkhorn with Memory for Solving the Control-affine Schr\u00f6dinger Bridge Problem","publication_year":2026,"publication_date":"2026-04-25","ids":{"openalex":"https://openalex.org/W7157075491","doi":"https://doi.org/10.48550/arxiv.2604.23370"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.23370","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.23370","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":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.23370","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5093013953","display_name":"Georgiy A. Bondar","orcid":"https://orcid.org/0009-0008-1369-2495"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bondar, Georgiy A.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046000519","display_name":"Asmaa Eldesoukey","orcid":"https://orcid.org/0009-0006-5388-8914"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Eldesoukey, Asmaa","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5134769970","display_name":"Yongxin Chen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Yongxin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5029714029","display_name":"Abhishek Halder","orcid":"https://orcid.org/0000-0002-1509-5853"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Halder, Abhishek","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.30970001220703125,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.30970001220703125,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.07999999821186066,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.06449999660253525,"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/recursion","display_name":"Recursion (computer science)","score":0.8158000111579895},{"id":"https://openalex.org/keywords/bridge","display_name":"Bridge (graph theory)","score":0.7953000068664551},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.6445000171661377},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5681999921798706},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5299000144004822},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5241000056266785}],"concepts":[{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.8158000111579895},{"id":"https://openalex.org/C100776233","wikidata":"https://www.wikidata.org/wiki/Q2532492","display_name":"Bridge (graph theory)","level":2,"score":0.7953000068664551},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.70169997215271},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.6445000171661377},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5681999921798706},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5299000144004822},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5241000056266785},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4332999885082245},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.39480000734329224},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.34130001068115234},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34060001373291016},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.30489999055862427},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30320000648498535},{"id":"https://openalex.org/C77170095","wikidata":"https://www.wikidata.org/wiki/Q1753188","display_name":"Linearity","level":2,"score":0.2847999930381775},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.25040000677108765}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.23370","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.23370","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":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.23370","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.23370","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":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Solutions":[0],"to":[1,107],"the":[2,24,26,42,47,64,77,84,92,97,109,113,124,135,148,152],"Schr\u00f6dinger":[3,66,137],"bridge":[4,67,138],"problem":[5,139],"and":[6,75,86,102,130,142],"its":[7],"generalizations":[8],"yield":[9],"feedback":[10],"control":[11,85],"policies":[12],"for":[13,49,63],"optimal":[14],"density":[15],"steering":[16],"over":[17],"a":[18,32,52,117],"controlled":[19],"diffusion.":[20],"To":[21],"numerically":[22],"compute":[23],"same,":[25],"dynamic":[27],"Sinkhorn":[28,79,118],"recursion":[29,119],"has":[30],"become":[31],"standard":[33,78],"approach.":[34],"The":[35],"mathematical":[36],"engine":[37],"behind":[38],"this":[39,69],"approach":[40],"is":[41,105],"Hopf-Cole":[43,73],"transform":[44],"that":[45,62,122],"recasts":[46],"conditions":[48],"optimality":[50],"into":[51],"system":[53],"of":[54,126,151],"boundary-coupled":[55],"linear":[56],"PDEs.":[57],"Recent":[58],"works":[59],"pointed":[60],"out":[61],"control-affine":[65,136],"problem,":[68],"exact":[70],"linearity":[71],"via":[72],"transform,":[74],"thus":[76],"recursion,":[80],"apply":[81],"only":[82],"if":[83],"noise":[87,143],"channels":[88,93],"are":[89],"proportional.":[90],"When":[91],"do":[94],"not":[95],"match,":[96],"Hopf-Cole-transformed":[98],"PDEs":[99],"remain":[100],"nonlinear,":[101],"no":[103],"algorithm":[104],"available":[106],"solve":[108],"same.":[110],"We":[111,146],"advance":[112],"state-of-the-art":[114],"by":[115],"designing":[116],"with":[120,140],"memory":[121],"leverages":[123],"structure":[125],"these":[127],"nonlinear":[128],"PDEs,":[129],"demonstrate":[131],"how":[132],"it":[133],"solves":[134],"input":[141],"channel":[144],"mismatch.":[145],"prove":[147],"local":[149],"stability":[150],"proposed":[153],"algorithm.":[154]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-04-29T00:00:00"}
