{"id":"https://openalex.org/W4408348844","doi":"https://doi.org/10.1109/access.2025.3548396","title":"Harmonic Path Integral Diffusion","display_name":"Harmonic Path Integral Diffusion","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4408348844","doi":"https://doi.org/10.1109/access.2025.3548396"},"language":"fr","primary_location":{"id":"doi:10.1109/access.2025.3548396","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3548396","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2025.3548396","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023112388","display_name":"Hamidreza Behjoo","orcid":"https://orcid.org/0000-0003-0873-4853"},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hamidreza Behjoo","raw_affiliation_strings":["Department of Mathematics, Graduate Interdisciplinary Program in Applied Mathematics, The University of Arizona, Tucson, AZ, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Graduate Interdisciplinary Program in Applied Mathematics, The University of Arizona, Tucson, AZ, USA","institution_ids":["https://openalex.org/I138006243"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068974029","display_name":"Michael Chertkov","orcid":"https://orcid.org/0000-0002-6758-515X"},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Chertkov","raw_affiliation_strings":["Department of Mathematics, Graduate Interdisciplinary Program in Applied Mathematics, The University of Arizona, Tucson, AZ, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Graduate Interdisciplinary Program in Applied Mathematics, The University of Arizona, Tucson, AZ, USA","institution_ids":["https://openalex.org/I138006243"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023112388"],"corresponding_institution_ids":["https://openalex.org/I138006243"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01806435,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":null,"first_page":"42196","last_page":"42213"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.34389999508857727,"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/T10320","display_name":"Neural Networks and Applications","score":0.34389999508857727,"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/diffusion","display_name":"Diffusion","score":0.5433838963508606},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.509807288646698},{"id":"https://openalex.org/keywords/harmonic-analysis","display_name":"Harmonic analysis","score":0.48589009046554565},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.4792442321777344},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40972650051116943},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2746047377586365},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2523084878921509},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24226447939872742},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.21182286739349365}],"concepts":[{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5433838963508606},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.509807288646698},{"id":"https://openalex.org/C131770355","wikidata":"https://www.wikidata.org/wiki/Q876215","display_name":"Harmonic analysis","level":2,"score":0.48589009046554565},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.4792442321777344},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40972650051116943},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2746047377586365},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2523084878921509},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24226447939872742},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.21182286739349365},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2025.3548396","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3548396","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:37b148bc71b544bea38f0de7e90c679d","is_oa":true,"landing_page_url":"https://doaj.org/article/37b148bc71b544bea38f0de7e90c679d","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 13, Pp 42196-42213 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2025.3548396","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3548396","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W140231913","https://openalex.org/W269911853","https://openalex.org/W757745030","https://openalex.org/W1752690783","https://openalex.org/W1966514629","https://openalex.org/W1991111872","https://openalex.org/W2023369695","https://openalex.org/W2024060531","https://openalex.org/W2026659355","https://openalex.org/W2045384647","https://openalex.org/W2058425167","https://openalex.org/W2107662876","https://openalex.org/W2129069237","https://openalex.org/W2145060720","https://openalex.org/W2277404552","https://openalex.org/W2299620045","https://openalex.org/W2475158750","https://openalex.org/W2565432921","https://openalex.org/W2902123029","https://openalex.org/W2963298284","https://openalex.org/W2972246420","https://openalex.org/W3036167779","https://openalex.org/W3110257065","https://openalex.org/W3111153674","https://openalex.org/W3129947101","https://openalex.org/W3157027468","https://openalex.org/W3216280682","https://openalex.org/W4248681815","https://openalex.org/W4288481429","https://openalex.org/W4290064682","https://openalex.org/W4302398087","https://openalex.org/W4380352196","https://openalex.org/W4383180711","https://openalex.org/W4391766501","https://openalex.org/W4399655877","https://openalex.org/W4399911838","https://openalex.org/W4403662179","https://openalex.org/W4403927034","https://openalex.org/W4404037632","https://openalex.org/W4404448333","https://openalex.org/W6631894574","https://openalex.org/W6679045638","https://openalex.org/W6760106805","https://openalex.org/W6779823529","https://openalex.org/W6786375611","https://openalex.org/W6802662687","https://openalex.org/W6804447384","https://openalex.org/W6841327968","https://openalex.org/W6845146177","https://openalex.org/W6853876415","https://openalex.org/W6854092224","https://openalex.org/W6855118933","https://openalex.org/W6856937618","https://openalex.org/W6861557717","https://openalex.org/W6862504810","https://openalex.org/W6868791339","https://openalex.org/W6869467023","https://openalex.org/W6869808133","https://openalex.org/W6873519306"],"related_works":["https://openalex.org/W2587667458","https://openalex.org/W2164070943","https://openalex.org/W2983963786","https://openalex.org/W1861882962","https://openalex.org/W1497667432","https://openalex.org/W2163128389","https://openalex.org/W2121926536","https://openalex.org/W1516921425","https://openalex.org/W2390836177","https://openalex.org/W2568904611"],"abstract_inverted_index":{"Harmonic":[0],"Path":[1,61],"Integral":[2,62],"Diffusion":[3],"(H-PID)":[4],"introduces":[5],"a":[6,18,31,43,58,95,104,111,146,155,171],"novel":[7],"approach":[8],"to":[9,25,56,82,103,127,174],"sampling":[10,164],"from":[11,21],"complex,":[12],"continuous":[13],"probability":[14],"distributions":[15],"by":[16],"creating":[17],"time-dependent":[19],"\u201cbridge\u201d":[20],"an":[22,151],"initial":[23],"point":[24],"the":[26,78,99,107,118,163],"target":[27,108],"distribution.":[28],"Formulated":[29],"as":[30,150,170,179],"Stochastic":[32],"Optimal":[33],"Control":[34,63],"problem,":[35],"H-PID":[36,120,144,169],"balances":[37],"control":[38],"effort":[39],"and":[40,52,74,141,191],"accuracy":[41],"through":[42],"unique":[44],"three-level":[45],"integrable":[46],"structure:":[47],"Top":[48],"Level:":[49,70,93],"Potential,":[50],"force,":[51],"gauge":[53],"terms":[54],"combine":[55],"form":[57],"linearly":[59],"solvable":[60],"system":[64],"based":[65],"on":[66,130,138],"Green":[67,79],"functions.":[68],"Mid":[69],"With":[71],"quadratic":[72,97],"potentials":[73],"affine":[75],"force/gauge":[76],"terms,":[77],"functions":[80],"reduce":[81],"Gaussian":[83,112,139],"forms,":[84],"mirroring":[85],"quantum":[86],"harmonic":[87],"oscillators":[88],"in":[89,154],"imaginary":[90],"time.":[91],"Bottom":[92],"For":[94],"uniform":[96],"case,":[98],"optimal":[100],"drift/control":[101],"reduces":[102],"convolution":[105],"of":[106,162],"distribution":[109],"with":[110],"kernel,":[113],"enabling":[114],"efficient":[115],"sampling.":[116],"Implementation-wise":[117],"low-level":[119],"operates":[121],"without":[122],"neural":[123],"networks,":[124],"allowing":[125],"it":[126],"run":[128],"efficiently":[129],"standard":[131],"CPUs":[132],"while":[133],"achieving":[134],"high":[135],"precision.":[136],"Validated":[137],"mixtures":[140],"CIFAR-10":[142],"images,":[143],"reveals":[145],"\u201cweighted":[147],"state\u201d":[148],"parameter":[149,153],"order":[152],"dynamic":[156],"phase":[157],"transition,":[158],"signaling":[159],"early":[160],"completion":[161],"process.":[165],"This":[166],"feature":[167],"positions":[168],"strong":[172],"alternative":[173],"traditional":[175],"methods":[176],"sampling,":[177],"such":[178],"simulated":[180],"annealing,":[181],"particularly":[182],"for":[183],"applications":[184],"that":[185],"demand":[186],"analytical":[187],"control,":[188],"computational":[189],"efficiency,":[190],"scalability.":[192]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}