{"id":"https://openalex.org/W7168661663","doi":"https://doi.org/10.1007/978-981-92-3417-2_21","title":"CoGrad: Profiling Competence Boundaries for Efficient Mathematical Alignment in LLMs","display_name":"CoGrad: Profiling Competence Boundaries for Efficient Mathematical Alignment in LLMs","publication_year":2026,"publication_date":"2026-07-16","ids":{"openalex":"https://openalex.org/W7168661663","doi":"https://doi.org/10.1007/978-981-92-3417-2_21"},"language":"en","primary_location":{"id":"doi:10.1007/978-981-92-3417-2_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-981-92-3417-2_21","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065445596","display_name":"Yu Zhang","orcid":"https://orcid.org/0000-0002-2358-0904"},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]},{"id":"https://openalex.org/I30982906","display_name":"Cree (China)","ror":"https://ror.org/02fqepy07","country_code":"CN","type":"company","lineage":["https://openalex.org/I30982906","https://openalex.org/I4210109581"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Youhui Zhang","raw_affiliation_strings":["Guangdong Yuecai Credit Co., Ltd., Guangzhou, China","South China Normal University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0009-0001-0407-0204","affiliations":[{"raw_affiliation_string":"Guangdong Yuecai Credit Co., Ltd., Guangzhou, China","institution_ids":["https://openalex.org/I30982906"]},{"raw_affiliation_string":"South China Normal University, Guangzhou, China","institution_ids":["https://openalex.org/I187400657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5141024139","display_name":"WenLiang Wu","orcid":"https://orcid.org/0009-0008-4254-8900"},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"WenLiang Wu","raw_affiliation_strings":["South China Normal University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0009-0008-4254-8900","affiliations":[{"raw_affiliation_string":"South China Normal University, Guangzhou, China","institution_ids":["https://openalex.org/I187400657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005681007","display_name":"Yuan Zhao","orcid":"https://orcid.org/0000-0003-1485-9759"},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuan Zhao","raw_affiliation_strings":["South China Normal University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0009-0003-6559-8381","affiliations":[{"raw_affiliation_string":"South China Normal University, Guangzhou, China","institution_ids":["https://openalex.org/I187400657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5134120402","display_name":"Xifan Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xifan Liu","raw_affiliation_strings":["South China Normal University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0009-0006-0233-8920","affiliations":[{"raw_affiliation_string":"South China Normal University, Guangzhou, China","institution_ids":["https://openalex.org/I187400657"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091307985","display_name":"Shouqiang Liu","orcid":"https://orcid.org/0000-0002-2795-0685"},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shouqiang Liu","raw_affiliation_strings":["South China Normal University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-2795-0685","affiliations":[{"raw_affiliation_string":"South China Normal University, Guangzhou, China","institution_ids":["https://openalex.org/I187400657"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091307985"],"corresponding_institution_ids":["https://openalex.org/I187400657"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"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":"239","last_page":"250"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":null,"topics":[],"keywords":[{"id":"https://openalex.org/keywords/competence","display_name":"Competence (human resources)","score":0.42480000853538513},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.421099990606308},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.40790000557899475},{"id":"https://openalex.org/keywords/knowledge-base","display_name":"Knowledge base","score":0.37779998779296875},{"id":"https://openalex.org/keywords/thread","display_name":"Thread (computing)","score":0.37560001015663147},{"id":"https://openalex.org/keywords/training-set","display_name":"Training set","score":0.3695000112056732},{"id":"https://openalex.org/keywords/profiling","display_name":"Profiling (computer programming)","score":0.35089999437332153},{"id":"https://openalex.org/keywords/incremental-learning","display_name":"Incremental learning","score":0.3450999855995178}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8712999820709229},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5040000081062317},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4878000020980835},{"id":"https://openalex.org/C100521375","wikidata":"https://www.wikidata.org/wiki/Q2015382","display_name":"Competence (human resources)","level":2,"score":0.42480000853538513},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.421099990606308},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.40790000557899475},{"id":"https://openalex.org/C4554734","wikidata":"https://www.wikidata.org/wiki/Q593744","display_name":"Knowledge base","level":2,"score":0.37779998779296875},{"id":"https://openalex.org/C138101251","wikidata":"https://www.wikidata.org/wiki/Q213092","display_name":"Thread (computing)","level":2,"score":0.37560001015663147},{"id":"https://openalex.org/C51632099","wikidata":"https://www.wikidata.org/wiki/Q3985153","display_name":"Training set","level":2,"score":0.3695000112056732},{"id":"https://openalex.org/C187191949","wikidata":"https://www.wikidata.org/wiki/Q1138496","display_name":"Profiling (computer programming)","level":2,"score":0.35089999437332153},{"id":"https://openalex.org/C2780735816","wikidata":"https://www.wikidata.org/wiki/Q28324931","display_name":"Incremental learning","level":2,"score":0.3450999855995178},{"id":"https://openalex.org/C2992525071","wikidata":"https://www.wikidata.org/wiki/Q50818671","display_name":"Federated learning","level":2,"score":0.3443000018596649},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.2793999910354614},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.27709999680519104},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.2759999930858612},{"id":"https://openalex.org/C2777220311","wikidata":"https://www.wikidata.org/wiki/Q6423340","display_name":"Knowledge acquisition","level":2,"score":0.27070000767707825},{"id":"https://openalex.org/C136389625","wikidata":"https://www.wikidata.org/wiki/Q334384","display_name":"Supervised learning","level":3,"score":0.26080000400543213},{"id":"https://openalex.org/C175309249","wikidata":"https://www.wikidata.org/wiki/Q725864","display_name":"Pipeline transport","level":2,"score":0.2587999999523163},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.25870001316070557},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.2556000053882599},{"id":"https://openalex.org/C188087704","wikidata":"https://www.wikidata.org/wiki/Q369577","display_name":"Standardization","level":2,"score":0.2540999948978424},{"id":"https://openalex.org/C86251818","wikidata":"https://www.wikidata.org/wiki/Q816754","display_name":"Benchmarking","level":2,"score":0.25029999017715454}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-981-92-3417-2_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-981-92-3417-2_21","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2296073425","https://openalex.org/W4404782801"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-18T05:51:51.687321","created_date":"2026-07-17T00:00:00"}