{"id":"https://openalex.org/W4386655779","doi":"https://doi.org/10.48550/arxiv.2309.05653","title":"MAmmoTH: Building Math Generalist Models through Hybrid Instruction Tuning","display_name":"MAmmoTH: Building Math Generalist Models through Hybrid Instruction Tuning","publication_year":2023,"publication_date":"2023-09-11","ids":{"openalex":"https://openalex.org/W4386655779","doi":"https://doi.org/10.48550/arxiv.2309.05653"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2309.05653","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2309.05653","pdf_url":"https://arxiv.org/pdf/2309.05653","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":null,"license_id":null,"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/2309.05653","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086600391","display_name":"Xiang Yue","orcid":"https://orcid.org/0000-0003-4547-1685"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yue, Xiang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101308310","display_name":"Xingwei Qu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Qu, Xingwei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100326077","display_name":"Ge Zhang","orcid":"https://orcid.org/0000-0003-0704-0657"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhang, Ge","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101802365","display_name":"Yao Fu","orcid":"https://orcid.org/0009-0000-5242-5682"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fu, Yao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083410012","display_name":"Wenhao Huang","orcid":"https://orcid.org/0000-0002-0036-6278"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Huang, Wenhao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101305534","display_name":"Huan Sun","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sun, Huan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029077335","display_name":"Yu-Cheng Su","orcid":"https://orcid.org/0000-0001-7056-6315"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Su, Yu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5103103242","display_name":"Wenhu Chen","orcid":"https://orcid.org/0000-0002-8609-7821"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Wenhu","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":21,"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/T10028","display_name":"Topic Modeling","score":0.964900016784668,"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/T10028","display_name":"Topic Modeling","score":0.964900016784668,"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/T11122","display_name":"Online Learning and Analytics","score":0.9369000196456909,"subfield":{"id":"https://openalex.org/subfields/1706","display_name":"Computer Science Applications"},"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/T11902","display_name":"Intelligent Tutoring Systems and Adaptive Learning","score":0.9196000099182129,"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/mammoth","display_name":"Mammoth","score":0.9564846754074097},{"id":"https://openalex.org/keywords/generalist-and-specialist-species","display_name":"Generalist and specialist species","score":0.7249345183372498},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6159678101539612},{"id":"https://openalex.org/keywords/competition","display_name":"Competition (biology)","score":0.5122203230857849},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4835221767425537},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3222520351409912},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3201999068260193},{"id":"https://openalex.org/keywords/archaeology","display_name":"Archaeology","score":0.29776501655578613},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.2528246343135834},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.21237173676490784},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.2014082968235016},{"id":"https://openalex.org/keywords/paleontology","display_name":"Paleontology","score":0.12823212146759033}],"concepts":[{"id":"https://openalex.org/C2780964940","wikidata":"https://www.wikidata.org/wiki/Q36715","display_name":"Mammoth","level":2,"score":0.9564846754074097},{"id":"https://openalex.org/C45371612","wikidata":"https://www.wikidata.org/wiki/Q3058587","display_name":"Generalist and specialist species","level":3,"score":0.7249345183372498},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6159678101539612},{"id":"https://openalex.org/C91306197","wikidata":"https://www.wikidata.org/wiki/Q45767","display_name":"Competition (biology)","level":2,"score":0.5122203230857849},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4835221767425537},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3222520351409912},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3201999068260193},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.29776501655578613},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.2528246343135834},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.21237173676490784},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.2014082968235016},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.12823212146759033},{"id":"https://openalex.org/C185933670","wikidata":"https://www.wikidata.org/wiki/Q52105","display_name":"Habitat","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2309.05653","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2309.05653","pdf_url":"https://arxiv.org/pdf/2309.05653","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2309.05653","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2309.05653","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2309.05653","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2309.05653","pdf_url":"https://arxiv.org/pdf/2309.05653","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386655779.pdf","grobid_xml":"https://content.openalex.org/works/W4386655779.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2306541987","https://openalex.org/W3135453479","https://openalex.org/W2947952289","https://openalex.org/W4322625948","https://openalex.org/W2112081548","https://openalex.org/W1986194836","https://openalex.org/W2896365120","https://openalex.org/W1986504168","https://openalex.org/W2095481932","https://openalex.org/W1454292034"],"abstract_inverted_index":{"We":[0],"introduce":[1],"MAmmoTH,":[2],"a":[3,51,96],"series":[4,100],"of":[5,41,54,66,73,82,163,170],"open-source":[6,104,138],"large":[7],"language":[8],"models":[9,19,105],"(LLMs)":[10],"specifically":[11],"tailored":[12],"for":[13,91],"general":[14],"math":[15,35,93,176],"problem-solving.":[16],"The":[17,71],"MAmmoTH":[18,99],"are":[20],"trained":[21],"on":[22,106,129,151],"MathInstruct,":[23],"our":[24,124],"meticulously":[25],"curated":[26,46],"instruction":[27],"tuning":[28],"dataset.":[29],"MathInstruct":[30],"is":[31],"compiled":[32],"from":[33],"13":[34],"datasets":[36,110],"with":[37,114],"intermediate":[38],"rationales,":[39,60],"six":[40],"which":[42,134],"have":[43],"rationales":[44,172],"newly":[45],"by":[47,142],"us.":[48],"It":[49],"presents":[50],"unique":[52],"hybrid":[53,72,171],"chain-of-thought":[55],"(CoT)":[56],"and":[57,61,75,121,144,167],"program-of-thought":[58],"(PoT)":[59],"also":[62,86],"ensures":[63],"extensive":[64],"coverage":[65,166],"diverse":[67,164],"fields":[68],"in":[69,173],"math.":[70],"CoT":[74,156],"PoT":[76],"not":[77],"only":[78],"unleashes":[79],"the":[80,98,136,145,161,168],"potential":[81],"tool":[83],"use":[84,169],"but":[85],"allows":[87],"different":[88,92],"thought":[89],"processes":[90],"problems.":[94],"As":[95],"result,":[97],"substantially":[101],"outperform":[102],"existing":[103],"nine":[107],"mathematical":[108],"reasoning":[109],"across":[111],"all":[112],"scales":[113],"an":[115],"average":[116],"accuracy":[117,150],"gain":[118],"between":[119],"16%":[120],"32%.":[122],"Remarkably,":[123],"MAmmoTH-7B":[125],"model":[126,140,147],"reaches":[127],"33%":[128],"MATH":[130],"(a":[131],"competition-level":[132],"dataset),":[133],"exceeds":[135],"best":[137],"7B":[139],"(WizardMath)":[141],"23%,":[143],"MAmmoTH-34B":[146],"achieves":[148],"44%":[149],"MATH,":[152],"even":[153],"surpassing":[154],"GPT-4's":[155],"result.":[157],"Our":[158],"work":[159],"underscores":[160],"importance":[162],"problem":[165],"developing":[174],"superior":[175],"generalist":[177],"models.":[178]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}