{"id":"https://openalex.org/W7155069259","doi":"https://doi.org/10.48550/arxiv.2604.18194","title":"Attraction, Repulsion, and Friction: Introducing DMF, a Friction-Augmented Drifting Model","display_name":"Attraction, Repulsion, and Friction: Introducing DMF, a Friction-Augmented Drifting Model","publication_year":2026,"publication_date":"2026-04-20","ids":{"openalex":"https://openalex.org/W7155069259","doi":"https://doi.org/10.48550/arxiv.2604.18194"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.18194","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.18194","pdf_url":null,"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":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.2604.18194","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5134164990","display_name":"Arkadii Kazanskii","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kazanskii, Arkadii","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5134097214","display_name":"Tatiana Petrova","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Petrova, Tatiana","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5134187786","display_name":"Konstantin Bagrianskii","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bagrianskii, Konstantin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017288955","display_name":"Aleksandr Puzikov","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Puzikov, Aleksandr","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5133039174","display_name":"Radu State","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"State, Radu","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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.20839999616146088,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.20839999616146088,"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/T11804","display_name":"Quantum many-body systems","score":0.16269999742507935,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.11249999701976776,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.5892000198364258},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.44200000166893005},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.41909998655319214},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4106999933719635},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.388700008392334},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.3817000091075897},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.35850000381469727},{"id":"https://openalex.org/keywords/heat-kernel","display_name":"Heat kernel","score":0.3447999954223633}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6402999758720398},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.5892000198364258},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.44200000166893005},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.41909998655319214},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4172999858856201},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4106999933719635},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.388700008392334},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.3817000091075897},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3774000108242035},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.35850000381469727},{"id":"https://openalex.org/C183212220","wikidata":"https://www.wikidata.org/wiki/Q3345669","display_name":"Heat kernel","level":2,"score":0.3447999954223633},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.3411000072956085},{"id":"https://openalex.org/C2778775528","wikidata":"https://www.wikidata.org/wiki/Q5135432","display_name":"Closing (real estate)","level":2,"score":0.33719998598098755},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.33079999685287476},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3280999958515167},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.31470000743865967},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.31439998745918274},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.3086000084877014},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.30469998717308044},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.28600001335144043},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.2718999981880188},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.26330000162124634},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.2630999982357025},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2578999996185303}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.18194","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.18194","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.18194","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.18194","pdf_url":null,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5042344331741333,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Drifting":[0],"Models":[1],"[Deng":[2],"et":[3,115],"al.,":[4],"2026]":[5],"train":[6],"a":[7,14,34,39,65,74,79,87],"one-step":[8],"generator":[9],"by":[10],"evolving":[11],"samples":[12],"under":[13],"kernel-based":[15],"drift":[16,46],"field,":[17],"avoiding":[18],"ODE":[19],"integration":[20],"at":[21,136],"inference.":[22],"The":[23,30],"original":[24],"analysis":[25],"leaves":[26],"two":[27],"questions":[28],"open.":[29],"drift-field":[31,94],"iteration":[32],"admits":[33],"locally":[35],"repulsive":[36],"regime":[37],"in":[38],"two-particle":[40],"surrogate,":[41],"and":[42,71],"vanishing":[43,98],"of":[44,99,110,113],"the":[45,54,60,69,83,93,108],"($V_{p,q}\\equiv":[47],"0$)":[48],"is":[49,96],"not":[50],"known":[51],"to":[52,58],"force":[53],"learned":[55],"distribution":[56],"$q$":[57],"match":[59],"target":[61],"$p$.":[62],"We":[63],"derive":[64],"contraction":[66],"threshold":[67],"for":[68],"surrogate":[70],"show":[72],"that":[73,92],"linearly-scheduled":[75],"friction":[76],"coefficient":[77],"gives":[78],"finite-horizon":[80],"bound":[81],"on":[82,101,131],"error":[84],"trajectory.":[85],"Under":[86],"Gaussian":[88],"kernel":[89],"we":[90],"prove":[91],"equilibrium":[95],"identifiable:":[97],"$V_{p,q}$":[100],"any":[102],"open":[103],"set":[104],"forces":[105],"$q=p$,":[106],"closing":[107],"converse":[109],"Proposition":[111],"3.1":[112],"Deng":[114],"al.":[116],"Our":[117],"friction-augmented":[118],"model,":[119],"DMF":[120],"(Drifting":[121],"Model":[122],"with":[123],"Friction),":[124],"matches":[125],"or":[126],"exceeds":[127],"Optimal":[128],"Flow":[129],"Matching":[130],"FFHQ":[132],"adult-to-child":[133],"domain":[134],"translation":[135],"16x":[137],"lower":[138],"training":[139],"compute.":[140]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-04-22T00:00:00"}