{"id":"https://openalex.org/W4413134408","doi":"https://doi.org/10.1137/25m176581x","title":"Optimal Survival Strategies for Diffusive Flows: A Schr\u00f6dinger Bridge Approach to Unbalanced Transport","display_name":"Optimal Survival Strategies for Diffusive Flows: A Schr\u00f6dinger Bridge Approach to Unbalanced Transport","publication_year":2025,"publication_date":"2025-08-07","ids":{"openalex":"https://openalex.org/W4413134408","doi":"https://doi.org/10.1137/25m176581x"},"language":"en","primary_location":{"id":"doi:10.1137/25m176581x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/25m176581x","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","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/A5066940107","display_name":"Yongxin Chen","orcid":"https://orcid.org/0000-0002-1459-6365"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yongxin Chen","raw_affiliation_strings":["School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332 USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035194316","display_name":"Tryphon T. Georgiou","orcid":"https://orcid.org/0000-0003-0012-5447"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tryphon T. Georgiou","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of California, Irvine, Irvine, CA 92697 USA"],"raw_orcid":"https://orcid.org/0000-0003-0012-5447","affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California, Irvine, Irvine, CA 92697 USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015648788","display_name":"Michele Pavon","orcid":"https://orcid.org/0000-0002-2648-2445"},"institutions":[{"id":"https://openalex.org/I120250893","display_name":"New York University Abu Dhabi","ror":"https://ror.org/00e5k0821","country_code":"AE","type":"education","lineage":["https://openalex.org/I120250893","https://openalex.org/I57206974"]},{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["AE","IT"],"is_corresponding":false,"raw_author_name":"Michele Pavon","raw_affiliation_strings":["Division of Science, New York University, Abu Dhabi, U.A.E","Universit\u00e0 di Padova, Padova, 35121 Italy"],"raw_orcid":"https://orcid.org/0000-0002-2648-2445","affiliations":[{"raw_affiliation_string":"Division of Science, New York University, Abu Dhabi, U.A.E","institution_ids":["https://openalex.org/I120250893"]},{"raw_affiliation_string":"Universit\u00e0 di Padova, Padova, 35121 Italy","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"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":0.17461598,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"67","issue":"3","first_page":"579","last_page":"604"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.989300012588501,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.989300012588501,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9837999939918518,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9641000032424927,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bridge","display_name":"Bridge (graph theory)","score":0.5498660206794739},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4232952892780304},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3944849967956543},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3709258735179901},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.35908710956573486},{"id":"https://openalex.org/keywords/environmental-science","display_name":"Environmental science","score":0.3236815333366394},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.323167085647583},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28983554244041443},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.11774319410324097}],"concepts":[{"id":"https://openalex.org/C100776233","wikidata":"https://www.wikidata.org/wiki/Q2532492","display_name":"Bridge (graph theory)","level":2,"score":0.5498660206794739},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4232952892780304},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3944849967956543},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3709258735179901},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.35908710956573486},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.3236815333366394},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.323167085647583},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28983554244041443},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.11774319410324097},{"id":"https://openalex.org/C105702510","wikidata":"https://www.wikidata.org/wiki/Q514","display_name":"Anatomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/25m176581x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/25m176581x","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4757223689","display_name":null,"funder_award_id":"W911NF-22-1-0292","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G4863533074","display_name":null,"funder_award_id":"76/71260/ADHPG/AD356/51119","funder_id":"https://openalex.org/F4320313203","funder_display_name":"New York University Abu Dhabi"},{"id":"https://openalex.org/G5447049063","display_name":"Collaborative Research: Fundamentals of Power Generation from Thermal Anisotropy - A Stochastic Control Framework","funder_award_id":"2347357","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7286776673","display_name":null,"funder_award_id":"FA9550-24-1-0278","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7507276622","display_name":"CAREER: Towards a Principled Framework for the Modeling and Control of Non-equilibrium Thermodynamic Systems","funder_award_id":"1942523","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320313203","display_name":"New York University Abu Dhabi","ror":"https://ror.org/00e5k0821"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W45882642","https://openalex.org/W175559256","https://openalex.org/W203533387","https://openalex.org/W1498429448","https://openalex.org/W1858982327","https://openalex.org/W1966874355","https://openalex.org/W1970111697","https://openalex.org/W1976080965","https://openalex.org/W2012507373","https://openalex.org/W2017013117","https://openalex.org/W2021836245","https://openalex.org/W2023369695","https://openalex.org/W2024083113","https://openalex.org/W2026738935","https://openalex.org/W2045361520","https://openalex.org/W2068348289","https://openalex.org/W2081896234","https://openalex.org/W2082042541","https://openalex.org/W2100664602","https://openalex.org/W2118825555","https://openalex.org/W2170316986","https://openalex.org/W2245200779","https://openalex.org/W2274727866","https://openalex.org/W2322790852","https://openalex.org/W2475158750","https://openalex.org/W2613550700","https://openalex.org/W2724892359","https://openalex.org/W2789285779","https://openalex.org/W2800052803","https://openalex.org/W2802739963","https://openalex.org/W2951559786","https://openalex.org/W2963035177","https://openalex.org/W2963170010","https://openalex.org/W2963725315","https://openalex.org/W2964269742","https://openalex.org/W2964313381","https://openalex.org/W2964328909","https://openalex.org/W3004896280","https://openalex.org/W3111153674","https://openalex.org/W3118896955","https://openalex.org/W3123819952","https://openalex.org/W3129947101","https://openalex.org/W3137204324","https://openalex.org/W3147942621","https://openalex.org/W3157027468","https://openalex.org/W3172297936","https://openalex.org/W4229573396","https://openalex.org/W4231127934","https://openalex.org/W4241513305","https://openalex.org/W4292025355","https://openalex.org/W4293567223","https://openalex.org/W4294573005","https://openalex.org/W4301454587","https://openalex.org/W4304975434","https://openalex.org/W4381334009","https://openalex.org/W4391333047","https://openalex.org/W4400648882","https://openalex.org/W4403674861","https://openalex.org/W4408593492","https://openalex.org/W4410444485"],"related_works":["https://openalex.org/W1501776718","https://openalex.org/W2615136228","https://openalex.org/W657108774","https://openalex.org/W2390192952","https://openalex.org/W2480620430","https://openalex.org/W2373296418","https://openalex.org/W1515761309","https://openalex.org/W4301400761","https://openalex.org/W3213254966","https://openalex.org/W2377265617"],"abstract_inverted_index":{"Abstract.":[0],"Diffusive":[1],"flows,":[2],"and":[3,12,25,71,96,114,157,173,205,211,373,406,493,506,523],"their":[4,56,380],"discrete":[5],"counterparts,":[6],"are":[7,30,111,268,361],"ubiquitous":[8],"in":[9,43,132,170,174,186,250,259,270,414],"the":[10,19,41,69,81,93,105,108,139,163,171,209,247,298,312,318,322,339,352,395,415,431,439,445,449,465,482,487,490,494,499,514,521,524,529,538],"physical":[11,272],"engineering":[13],"sciences.":[14],"In":[15,47,58,73,104],"many":[16,271],"important":[17],"examples,":[18],"total":[20],"mass":[21,82,182,227,375],"is":[22,87,135,344,376,473,542],"not":[23,31,308],"preserved":[24],"therefore":[26],"standard":[27],"probabilistic":[28,371],"models":[29,276],"suitable.":[32],"Examples":[33],"include":[34],"electrons":[35],"which":[36,44,388],"may":[37,52,83,282,328],"be":[38,84,151,286,391],"absorbed":[39],"by":[40,129,242,257],"medium":[42],"they":[45],"travel.":[46],"population":[48],"genetics,":[49],"some":[50,64,79,335],"individuals":[51],"\u201cdisappear\u201d":[53],"due":[54],"to":[55,91,124,162,285,296,311,345,369,390],"genotype.":[57],"traffic":[59],"flows":[60],"over":[61],"a":[62,101,125,155,158,192,219,348,365,370,385,411,421,460,508],"network,":[63],"vehicles":[65],"might":[66],"simply":[67],"exit":[68],"circulation":[70],"park.":[72],"this":[74,119,167,342],"more":[75],"general":[76],"situation,":[77],"where":[78,519],"of":[80,88,116,166,180,195,213,225,234,300,302,341,351,417,435,464,489,498,516,531],"lost,":[85],"it":[86,310],"particular":[89],"interest":[90,169],"reconcile":[92],"observed":[94,289],"initial":[95],"final":[97],"marginal":[98],"distributions":[99],"with":[100,288,357,438],"given":[102,420],"prior.":[103],"case":[106],"when":[107],"two":[109],"marginals":[110,224,238,290,518],"probability":[112,203,299],"distributions,":[113],"thus":[115],"equal":[117],"mass,":[118],"problem":[120,149,233,396,512],"was":[121],"posed":[122],"and,":[123,274],"considerable":[126,220],"extent,":[127],"solved":[128],"E.":[130,418],"Schr\u00f6dinger":[131,140],"1931/32.":[133],"It":[134,144],"now":[136],"known":[137],"as":[138,153,263,444,470],"Bridge":[141],"Problem":[142],"(SBP).":[143],"turns":[145],"out":[146],"that":[147,277,294,306,317,326,403,424],"Schr\u00f6dinger\u2019s":[148,292,476],"can":[150],"viewed":[152],"both":[154,520],"modeling":[156],"control":[159,511,532],"problem.":[160],"Due":[161],"fundamental":[164],"significance":[165],"problem,":[168],"SBP":[172,353,399],"its":[175],"deterministic":[176],"(zero-noise":[177],"limit)":[178],"counterpart":[179],"optimal":[181],"transport":[183,248,281],"(OMT)":[184],"has":[185,228,239],"recent":[187],"years":[188],"enticed":[189],"scientists":[190],"from":[191,456,475],"broad":[193],"spectrum":[194],"disciplines,":[196],"including":[197,304],"physics,":[198],"stochastic":[199,401],"control,":[200],"computer":[201],"science,":[202],"theory,":[204],"geometry.":[206],"Yet,":[207],"while":[208],"mathematics":[210],"applications":[212,258],"SBP/OMT":[214],"have":[215,329],"been":[216,240,330],"developing":[217],"at":[218,265,334],"pace,":[221],"accounting":[222],"for":[223,279,354,400,426,430,513],"unequal":[226],"received":[229],"scant":[230],"attention.":[231],"The":[232,468],"interpolating":[235],"between":[236,448],"\u201cunbalanced\u201d":[237],"approached":[241],"introducing":[243],"source/sink":[244],"terms":[245],"into":[246,364,397],"equations":[249],"an":[251,398],"ad":[252],"hoc":[253],"manner,":[254],"chiefly":[255],"driven":[256,382],"image":[260],"registration.":[261],"Nevertheless,":[262],"hinted":[264],"above,":[266],"losses":[267],"inherent":[269],"processes":[273,402],"thereby,":[275],"account":[278],"lossy":[280],"also":[283,504,543],"need":[284],"reconciled":[287],"following":[291,410],"quest,":[293],"is,":[295],"adjust":[297],"trajectories":[301],"particles,":[303],"those":[305],"do":[307],"make":[309],"terminal":[313],"observation":[314],"point,":[315],"so":[316],"updated":[319],"evolution":[320,356,434],"represents":[321],"most":[323,432,440],"likely":[324,441],"way":[325],"particles":[327,360,436,446],"transported,":[331],"or":[332],"vanished,":[333],"intermediate":[336],"point.":[337],"Thus,":[338],"purpose":[340],"work":[343,458],"develop":[346],"such":[347],"natural":[349],"generalization":[350],"diffusive":[355,405],"losses,":[358,427],"whereupon":[359],"\u201ckilled\u201d":[362],"(jump":[363],"coffin/extinction":[366],"state)":[367],"according":[368],"law,":[372],"thereby":[374],"gradually":[377],"lost":[378],"along":[379,437],"stochastically":[381],"flow.":[383],"Through":[384],"suitable":[386],"embedding,":[387],"appears":[389],"novel,":[392],"we":[393,428,471],"turn":[394],"combine":[404],"jump":[407],"characteristics.":[408],"Then,":[409],"large-deviations":[412],"formalism":[413],"style":[416],"Schr\u00f6dinger,":[419],"prior":[422],"law":[423],"allows":[425],"ask":[429],"probable":[433],"killing":[442,496,526],"rate":[443,497,527],"transition":[447],"specified":[450],"marginals.":[451],"Our":[452],"approach":[453],"differs":[454],"sharply":[455],"previous":[457],"involving":[459],"Feynman\u2013Kac":[461],"multiplicative":[462],"reweighing":[463],"reference":[466],"measure.":[467,502],"latter,":[469],"argue,":[472],"far":[474],"quest.":[477],"An":[478],"iterative":[479],"scheme,":[480],"generalizing":[481],"celebrated":[483],"Fortet\u2013IPF\u2013Sinkhorn":[484],"algorithm,":[485],"permits":[486],"computation":[488],"new":[491,495,525,539],"drift":[492,522],"path-space":[500],"solution":[501],"We":[503],"formulate":[505],"solve":[507],"related":[509],"fluid-dynamic":[510],"flow":[515],"one-time":[517],"play":[528],"role":[530],"variable.":[533],"A":[534],"numerical":[535],"example":[536],"illustrating":[537],"theoretical":[540],"results":[541],"presented.":[544]},"counts_by_year":[],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}