{"id":"https://openalex.org/W7162685604","doi":"https://doi.org/10.48550/arxiv.2605.28589","title":"Thinned Mean Field Langevin Dynamics","display_name":"Thinned Mean Field Langevin Dynamics","publication_year":2026,"publication_date":"2026-05-27","ids":{"openalex":"https://openalex.org/W7162685604","doi":"https://doi.org/10.48550/arxiv.2605.28589"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.28589","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.28589","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":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.2605.28589","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5137242564","display_name":"Zonghao Chen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Zonghao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046530151","display_name":"Heishiro Kanagawa","orcid":"https://orcid.org/0000-0002-7556-8827"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kanagawa, Heishiro","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076430441","display_name":"Fran\u00e7ois\u2010Xavier Briol","orcid":"https://orcid.org/0000-0002-0181-2559"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Briol, Fran\u00e7ois-Xavier","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078786746","display_name":"Chris J. Oates","orcid":"https://orcid.org/0000-0002-4444-8603"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Oates, Chris J.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5137214842","display_name":"Lester Mackey","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mackey, Lester","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":0.17229999601840973,"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":0.17229999601840973,"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/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.14710000157356262,"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/T11804","display_name":"Quantum many-body systems","score":0.10459999740123749,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/langevin-dynamics","display_name":"Langevin dynamics","score":0.7954000234603882},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6486999988555908},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6349999904632568},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6089000105857849},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5085999965667725},{"id":"https://openalex.org/keywords/interacting-particle-system","display_name":"Interacting particle system","score":0.49140000343322754},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4828000068664551},{"id":"https://openalex.org/keywords/mean-field-theory","display_name":"Mean field theory","score":0.4447000026702881},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4348999857902527}],"concepts":[{"id":"https://openalex.org/C2780004032","wikidata":"https://www.wikidata.org/wiki/Q6485978","display_name":"Langevin dynamics","level":2,"score":0.7954000234603882},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6486999988555908},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6349999904632568},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6089000105857849},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5109999775886536},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5085999965667725},{"id":"https://openalex.org/C42246873","wikidata":"https://www.wikidata.org/wiki/Q6045167","display_name":"Interacting particle system","level":4,"score":0.49140000343322754},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4828000068664551},{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.4447000026702881},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4348999857902527},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42289999127388},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4142000079154968},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4138000011444092},{"id":"https://openalex.org/C179003449","wikidata":"https://www.wikidata.org/wiki/Q1757458","display_name":"Particle system","level":2,"score":0.40709999203681946},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40400001406669617},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.38749998807907104},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.375},{"id":"https://openalex.org/C52421305","wikidata":"https://www.wikidata.org/wiki/Q1151499","display_name":"Particle filter","level":3,"score":0.36910000443458557},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.34850001335144043},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.33340001106262207},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3312999904155731},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.32919999957084656},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.30869999527931213},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3086000084877014},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.30410000681877136},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.29179999232292175},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2904999852180481},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27790001034736633},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.2777000069618225},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.2653000056743622},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.2628999948501587},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.25679999589920044}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.28589","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.28589","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":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.28589","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.28589","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":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":{"Several":[0],"important":[1],"learning":[2],"tasks":[3,119],"can":[4,41],"be":[5,42],"formulated":[6],"as":[7,32,110],"minimizing":[8],"an":[9,13],"entropy-regularized":[10],"objective":[11],"over":[12],"appropriate":[14],"space":[15],"of":[16,36,60,84,123,134],"probability":[17],"distributions.":[18],"Mean-field":[19],"Langevin":[20],"dynamics":[21],"(MFLD)":[22],"facilitate":[23],"computation":[24,133],"in":[25,73,137],"this":[26,53],"general":[27],"context,":[28],"casting":[29],"the":[30,33,90,102,121],"minimizer":[31],"invariant":[34],"distribution":[35],"a":[37,80,138],"McKean--Vlasov":[38],"process,":[39],"which":[40,74],"numerically":[43],"discretized":[44],"using":[45],"$N$":[46],"particles":[47],"and":[48,132],"thus":[49,88],"simulated.":[50],"However,":[51],"simulating":[52],"interacting":[54],"particle":[55,76,82],"system":[56],"has":[57],"computational":[58,91],"complexity":[59,92],"order":[61,94],"$N^2$.":[62],"Motivated":[63],"by":[64],"recent":[65],"research":[66],"into":[67],"\\emph{kernel":[68],"thinning},":[69],"we":[70],"propose":[71],"\\texttt{KT-MFLD},":[72],"each":[75],"interacts":[77],"only":[78],"with":[79,128],"thinned":[81],"coreset":[83],"size":[85],"$\\mathcal{O}(N^{\\frac{1}{2}})$.":[86],"\\texttt{KT-MFLD}":[87],"reduces":[89],"to":[93,107],"$N^{\\frac{3}{2}}$":[95],"while,":[96],"under":[97],"mild":[98],"regularity":[99],"conditions,":[100],"achieving":[101],"same":[103],"convergence":[104],"guarantees":[105],"(up":[106],"logarithmic":[108],"factors)":[109],"MFLD.":[111],"Our":[112],"theoretical":[113],"analysis":[114],"is":[115],"empirically":[116],"confirmed":[117],"on":[118],"including":[120],"training":[122],"student-teacher":[124],"neural":[125],"networks,":[126],"quantization":[127],"maximum":[129],"mean":[130],"discrepancy,":[131],"predictively-oriented":[135],"posteriors":[136],"post-Bayesian":[139],"framework.":[140]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-05-29T00:00:00"}
