{"id":"https://openalex.org/W7162992044","doi":"https://doi.org/10.48550/arxiv.2605.30833","title":"Your Teacher Can't Help You Here: Combating Supervision Fidelity Decay in On-Policy Distillation","display_name":"Your Teacher Can't Help You Here: Combating Supervision Fidelity Decay in On-Policy Distillation","publication_year":2026,"publication_date":"2026-05-29","ids":{"openalex":"https://openalex.org/W7162992044","doi":"https://doi.org/10.48550/arxiv.2605.30833"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.30833","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.30833","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.2605.30833","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071452870","display_name":"Yanjiang Liu","orcid":"https://orcid.org/0000-0003-1806-6748"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu, Yanjiang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137590404","display_name":"Jie Lou","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lou, Jie","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137613378","display_name":"Xinyan Guan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guan, Xinyan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034641436","display_name":"Yuqiu Ji","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ji, Yuqiu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137589959","display_name":"Hongyu Lin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lin, Hongyu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137568269","display_name":"Ben He","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"He, Ben","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137516502","display_name":"Xianpei Han","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Han, Xianpei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137531241","display_name":"Le Sun","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sun, Le","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137536865","display_name":"Xing Yu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yu, Xing","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5137573139","display_name":"Yaojie Lu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lu, Yaojie","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/T11902","display_name":"Intelligent Tutoring Systems and Adaptive Learning","score":0.4645000100135803,"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/T11902","display_name":"Intelligent Tutoring Systems and Adaptive Learning","score":0.4645000100135803,"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/T12026","display_name":"Explainable Artificial Intelligence (XAI)","score":0.06949999928474426,"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/T10028","display_name":"Topic Modeling","score":0.04280000180006027,"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/fidelity","display_name":"Fidelity","score":0.6836000084877014},{"id":"https://openalex.org/keywords/discriminative-model","display_name":"Discriminative model","score":0.647599995136261},{"id":"https://openalex.org/keywords/high-fidelity","display_name":"High fidelity","score":0.6179999709129333},{"id":"https://openalex.org/keywords/distillation","display_name":"Distillation","score":0.5633999705314636},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.42309999465942383},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4205999970436096},{"id":"https://openalex.org/keywords/prefix","display_name":"Prefix","score":0.4043999910354614}],"concepts":[{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.6836000084877014},{"id":"https://openalex.org/C97931131","wikidata":"https://www.wikidata.org/wiki/Q5282087","display_name":"Discriminative model","level":2,"score":0.647599995136261},{"id":"https://openalex.org/C113364801","wikidata":"https://www.wikidata.org/wiki/Q26674","display_name":"High fidelity","level":2,"score":0.6179999709129333},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5803999900817871},{"id":"https://openalex.org/C204030448","wikidata":"https://www.wikidata.org/wiki/Q101017","display_name":"Distillation","level":2,"score":0.5633999705314636},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.42309999465942383},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4205999970436096},{"id":"https://openalex.org/C141603448","wikidata":"https://www.wikidata.org/wiki/Q134830","display_name":"Prefix","level":2,"score":0.4043999910354614},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.34450000524520874},{"id":"https://openalex.org/C165838908","wikidata":"https://www.wikidata.org/wiki/Q736777","display_name":"Calibration","level":2,"score":0.3425000011920929},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31949999928474426},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.31040000915527344},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.2775000035762787},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.2759000062942505},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.27489998936653137},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.2630999982357025},{"id":"https://openalex.org/C44154836","wikidata":"https://www.wikidata.org/wiki/Q45045","display_name":"Simulation","level":1,"score":0.25690001249313354},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.25360000133514404}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.30833","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.30833","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.2605.30833","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.30833","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":[{"score":0.7303985357284546,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"On-policy":[0],"distillation":[1,52],"transfers":[2],"reasoning":[3,61],"capabilities":[4],"by":[5,95,130],"training":[6],"a":[7,19,24,107,136],"student":[8,55],"model":[9],"on":[10,73,148],"its":[11],"own":[12],"generated":[13],"trajectories":[14],"using":[15],"token-level":[16],"feedback":[17],"from":[18],"teacher.":[20],"However,":[21],"we":[22,66,114],"identify":[23],"critical":[25],"bottleneck,":[26],"\\textbf{Supervision":[27],"Fidelity":[28],"Decay":[29],"(SFD)}:":[30],"as":[31],"student-generated":[32],"prefixes":[33],"lengthen,":[34],"the":[35,46,74,81,90,96,102],"teacher's":[36],"next-token":[37],"distribution":[38],"becomes":[39],"less":[40,43],"confident":[41],"and":[42,105,124,144],"discriminative.":[44],"Consequently,":[45],"teacher-dependent":[47],"corrective":[48],"signal":[49],"in":[50,142],"reverse-KL":[51,86],"weakens,":[53],"causing":[54],"drift":[56],"to":[57],"compound":[58],"across":[59],"long":[60],"chains.":[62],"To":[63,110],"mitigate":[64],"SFD,":[65],"introduce":[67],"\\textbf{Lookahead":[68],"Group":[69],"Reward":[70],"(\\ours{})}.":[71],"Building":[72],"insight":[75],"that":[76],"next-step":[77],"teacher":[78,97],"confidence":[79,98],"reflects":[80],"discriminative":[82],"strength":[83],"of":[84],"future":[85],"supervision,":[87],"\\ours{}":[88,127],"evaluates":[89],"student's":[91],"top-K":[92],"candidate":[93],"tokens":[94],"they":[99],"induce":[100],"at":[101,150],"subsequent":[103],"step":[104],"assigns":[106],"group-normalized":[108],"reward.":[109],"maintain":[111],"computational":[112],"efficiency,":[113],"further":[115],"design":[116],"an":[117],"entropy-triggered":[118],"tree-attention":[119],"mechanism.":[120],"Across":[121],"six":[122],"math":[123],"code":[125],"benchmarks,":[126],"improves":[128],"mean@8":[129],"\\textbf{2.57}":[131],"points":[132,147],"over":[133],"OPD":[134],"for":[135],"7B":[137],"student,":[138],"with":[139],"gains":[140],"increasing":[141],"longer-generation":[143],"reaching":[145],"+\\textbf{4.92}":[146],"AIME-26":[149],"39k":[151],"tokens.":[152]},"counts_by_year":[],"updated_date":"2026-07-01T08:55:40.977307","created_date":"2026-06-02T00:00:00"}
