{"id":"https://openalex.org/W4399794619","doi":"https://doi.org/10.48550/arxiv.2406.10858","title":"Step-level Value Preference Optimization for Mathematical Reasoning","display_name":"Step-level Value Preference Optimization for Mathematical Reasoning","publication_year":2024,"publication_date":"2024-06-16","ids":{"openalex":"https://openalex.org/W4399794619","doi":"https://doi.org/10.48550/arxiv.2406.10858"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2406.10858","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2406.10858","pdf_url":"https://arxiv.org/pdf/2406.10858","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2406.10858","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089226992","display_name":"Guoxin Chen","orcid":"https://orcid.org/0000-0001-8020-4780"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Guoxin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111233234","display_name":"Minpeng Liao","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liao, Minpeng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074576488","display_name":"Chengxi Li","orcid":"https://orcid.org/0000-0003-1649-1943"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li, Chengxi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5064548635","display_name":"Kai Fan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fan, Kai","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":true,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.3431999981403351,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.3431999981403351,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11727","display_name":"Advanced Algebra and Logic","score":0.34060001373291016,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.3061999976634979,"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/preference","display_name":"Preference","score":0.6966081261634827},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4785324037075043},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40676257014274597},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40607696771621704},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35704654455184937},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.32323217391967773},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18405449390411377}],"concepts":[{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.6966081261634827},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4785324037075043},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40676257014274597},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40607696771621704},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35704654455184937},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.32323217391967773},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18405449390411377}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2406.10858","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2406.10858","pdf_url":"https://arxiv.org/pdf/2406.10858","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2406.10858","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2406.10858","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":"pmh:oai:arXiv.org:2406.10858","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2406.10858","pdf_url":"https://arxiv.org/pdf/2406.10858","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4399794619.pdf","grobid_xml":"https://content.openalex.org/works/W4399794619.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"Direct":[0],"Preference":[1,69],"Optimization":[2,70],"(DPO)":[3],"using":[4],"an":[5,13,96],"implicit":[6,106],"reward":[7,107,122],"model":[8,46,99,115],"has":[9],"proven":[10],"to":[11,16,80,100,119],"be":[12],"effective":[14],"alternative":[15],"reinforcement":[17],"learning":[18],"from":[19,89],"human":[20],"feedback":[21],"(RLHF)":[22],"for":[23,85],"fine-tuning":[24],"preference":[25,34,111],"aligned":[26],"large":[27],"language":[28],"models":[29],"(LLMs).":[30],"However,":[31],"the":[32,42,90,102,105,117],"overall":[33],"annotations":[35],"of":[36,45,92,104],"responses":[37,123],"do":[38],"not":[39],"fully":[40],"capture":[41],"fine-grained":[43],"quality":[44],"outputs":[47],"in":[48],"complex":[49],"multi-step":[50,86],"reasoning":[51,144],"tasks,":[52],"such":[53],"as":[54],"mathematical":[55,143],"reasoning.":[56,87],"To":[57],"address":[58],"this":[59],"limitation,":[60],"we":[61,94],"introduce":[62],"a":[63],"novel":[64],"algorithm":[65],"called":[66],"Step-level":[67],"Value":[68],"(SVPO).":[71],"Our":[72,146],"approach":[73],"employs":[74],"Monte":[75],"Carlo":[76],"Tree":[77],"Search":[78],"(MCTS)":[79],"automatically":[81],"annotate":[82],"step-level":[83],"preferences":[84],"Furthermore,":[88],"perspective":[91],"learning-to-rank,":[93],"train":[95],"explicit":[97],"value":[98,114],"replicate":[101],"behavior":[103],"model,":[108],"complementing":[109],"standard":[110],"optimization.":[112],"This":[113],"enables":[116],"LLM":[118],"generate":[120],"higher":[121],"with":[124],"minimal":[125],"cost":[126],"during":[127],"inference.":[128],"Experimental":[129],"results":[130],"demonstrate":[131],"that":[132],"our":[133],"method":[134],"achieves":[135],"state-of-the-art":[136],"performance":[137],"on":[138],"both":[139],"in-domain":[140],"and":[141],"out-of-domain":[142],"benchmarks.":[145],"code":[147],"is":[148],"available":[149],"at":[150],"\\url{https://github.com/MARIO-Math-Reasoning/Super_MARIO}.":[151]},"counts_by_year":[],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}