{"id":"https://openalex.org/W7135179989","doi":"https://doi.org/10.48550/arxiv.2603.11709","title":"Scaling Laws for Educational AI Agents","display_name":"Scaling Laws for Educational AI Agents","publication_year":2026,"publication_date":"2026-03-12","ids":{"openalex":"https://openalex.org/W7135179989","doi":"https://doi.org/10.48550/arxiv.2603.11709"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.11709","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.11709","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":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.2603.11709","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020738966","display_name":"Mengsong Wu","orcid":"https://orcid.org/0000-0001-9784-9681"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wu, Mengsong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128957084","display_name":"Hao Hao","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hao, Hao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089126072","display_name":"Shilei Bi","orcid":"https://orcid.org/0009-0001-1257-1826"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bi, Shuzhen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049950372","display_name":"Keqian Li","orcid":"https://orcid.org/0009-0002-5956-3038"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li, Keqian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5129071675","display_name":"Wentao Liu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu, Wentao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101324260","display_name":"Siyu Song","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Song, Siyu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5129055664","display_name":"Hongbo Zhao","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhao, Hongbo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5129036679","display_name":"Aimin Zhou","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhou, Aimin","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":0.6708999872207642,"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":0.6708999872207642,"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":0.04430000111460686,"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":0.0348999984562397,"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/scaling","display_name":"Scaling","score":0.7849000096321106},{"id":"https://openalex.org/keywords/software-deployment","display_name":"Software deployment","score":0.5078999996185303},{"id":"https://openalex.org/keywords/scaling-law","display_name":"Scaling law","score":0.4893999993801117},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4763000011444092},{"id":"https://openalex.org/keywords/mechanism","display_name":"Mechanism (biology)","score":0.4228000044822693},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.3865000009536743}],"concepts":[{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.7849000096321106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6629999876022339},{"id":"https://openalex.org/C105339364","wikidata":"https://www.wikidata.org/wiki/Q2297740","display_name":"Software deployment","level":2,"score":0.5078999996185303},{"id":"https://openalex.org/C2988430800","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Scaling law","level":3,"score":0.4893999993801117},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4763000011444092},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.4228000044822693},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.38839998841285706},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.3865000009536743},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.382999986410141},{"id":"https://openalex.org/C120936955","wikidata":"https://www.wikidata.org/wiki/Q2155640","display_name":"Empirical research","level":2,"score":0.35690000653266907},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.3492000102996826},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.33059999346733093},{"id":"https://openalex.org/C166052673","wikidata":"https://www.wikidata.org/wiki/Q83021","display_name":"Empirical evidence","level":2,"score":0.2955000102519989},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"score":0.2655999958515167},{"id":"https://openalex.org/C189708586","wikidata":"https://www.wikidata.org/wiki/Q1504425","display_name":"Systematic review","level":3,"score":0.2574999928474426}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.11709","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.11709","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":"doi:10.48550/arxiv.2603.11709","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.11709","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":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.5266222357749939}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"While":[0],"scaling":[1,22,101,141],"laws":[2],"for":[3],"Large":[4],"Language":[5],"Models":[6],"(LLMs)":[7],"have":[8],"been":[9],"extensively":[10],"studied":[11],"along":[12],"dimensions":[13,47],"of":[14,24,88,111],"model":[15,42],"parameters,":[16],"training":[17],"data,":[18],"and":[19,65,109,146],"compute,":[20],"the":[21,40,52,82,107,155],"behavior":[23],"LLM-based":[25],"educational":[26,33,89,113,128,160],"agents":[27],"remains":[28],"unexplored.":[29],"We":[30,91,137],"propose":[31],"that":[32,48,79,98,127,154],"agent":[34,114,129],"capability":[35,86,172],"scales":[36,131],"not":[37,163],"merely":[38],"with":[39,133],"underlying":[41],"size,":[43],"but":[44,168],"through":[45,106],"structured":[46,76,171],"we":[49],"collectively":[50],"term":[51],"Agent":[53],"Scaling":[54,145,148],"Law:":[55],"role":[56],"definition":[57],"clarity,":[58],"skill":[59,118],"depth,":[60],"tool":[61],"completeness,":[62],"runtime":[63],"capability,":[64],"educator":[66],"expertise":[67],"injection.":[68],"Central":[69],"to":[70,157],"this":[71,100],"framework":[72],"is":[73],"AgentProfile,":[74],"a":[75,94],"JSON-based":[77],"specification":[78],"serves":[80],"as":[81,150],"mechanism":[83],"enabling":[84],"systematic":[85],"growth":[87],"agents.":[90],"present":[92],"EduClaw,":[93],"profile-driven":[95],"multi-agent":[96],"platform":[97],"operationalizes":[99],"law,":[102],"demonstrating":[103],"its":[104],"effectiveness":[105],"construction":[108],"deployment":[110],"330+":[112],"profiles":[115],"encompassing":[116],"1,100+":[117],"modules":[119],"across":[120],"K-12":[121],"subjects.":[122],"Our":[123],"empirical":[124],"observations":[125],"suggest":[126],"performance":[130],"predictably":[132],"profile":[134],"structural":[135],"richness.":[136],"identify":[138],"two":[139],"complementary":[140],"axes":[142],"--":[143,149],"Tool":[144],"Skill":[147],"future":[151],"directions,":[152],"arguing":[153],"path":[156],"more":[158],"capable":[159],"AI":[161],"lies":[162],"solely":[164],"in":[165,169],"larger":[166],"models,":[167],"stronger":[170],"systems.":[173]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-03-14T00:00:00"}