{"id":"https://openalex.org/W7168986322","doi":"https://doi.org/10.1007/978-981-92-3417-2_34","title":"NRF-FQ: An Enhanced Numerical Reasoning Framework in Language Models Through FoNE and QLoRA","display_name":"NRF-FQ: An Enhanced Numerical Reasoning Framework in Language Models Through FoNE and QLoRA","publication_year":2026,"publication_date":"2026-07-16","ids":{"openalex":"https://openalex.org/W7168986322","doi":"https://doi.org/10.1007/978-981-92-3417-2_34"},"language":"en","primary_location":{"id":"doi:10.1007/978-981-92-3417-2_34","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-981-92-3417-2_34","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/A5038264916","display_name":"Y Q Li","orcid":null},"institutions":[{"id":"https://openalex.org/I38706770","display_name":"Guilin University of Technology","ror":"https://ror.org/03z391397","country_code":"CN","type":"education","lineage":["https://openalex.org/I38706770"]},{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yujie Li","raw_affiliation_strings":["Guangxi Colleges and Universities Key Laboratory of AI Algorithm Engineering, Guilin, China","Guangxi Key Laboratory of Robot Intelligent Perception and Control, Guilin, China","Guilin University of Electronic Technology, Guilin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guangxi Colleges and Universities Key Laboratory of AI Algorithm Engineering, Guilin, China","institution_ids":["https://openalex.org/I38706770"]},{"raw_affiliation_string":"Guangxi Key Laboratory of Robot Intelligent Perception and Control, Guilin, China","institution_ids":["https://openalex.org/I5343935"]},{"raw_affiliation_string":"Guilin University of Electronic Technology, Guilin, China","institution_ids":["https://openalex.org/I5343935"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092088187","display_name":"Jiayi Wang","orcid":"https://orcid.org/0009-0005-0254-7426"},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiayi Wang","raw_affiliation_strings":["Guilin University of Electronic Technology, Guilin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guilin University of Electronic Technology, Guilin, China","institution_ids":["https://openalex.org/I5343935"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5141032360","display_name":"Benying Tan","orcid":null},"institutions":[{"id":"https://openalex.org/I38706770","display_name":"Guilin University of Technology","ror":"https://ror.org/03z391397","country_code":"CN","type":"education","lineage":["https://openalex.org/I38706770"]},{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Benying Tan","raw_affiliation_strings":["Guangxi Colleges and Universities Key Laboratory of AI Algorithm Engineering, Guilin, China","Guangxi Key Laboratory of Robot Intelligent Perception and Control, Guilin, China","Guilin University of Electronic Technology, Guilin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guangxi Colleges and Universities Key Laboratory of AI Algorithm Engineering, Guilin, China","institution_ids":["https://openalex.org/I38706770"]},{"raw_affiliation_string":"Guangxi Key Laboratory of Robot Intelligent Perception and Control, Guilin, China","institution_ids":["https://openalex.org/I5343935"]},{"raw_affiliation_string":"Guilin University of Electronic Technology, Guilin, China","institution_ids":["https://openalex.org/I5343935"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5141032360"],"corresponding_institution_ids":["https://openalex.org/I38706770","https://openalex.org/I5343935"],"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":"396","last_page":"408"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":null,"topics":[],"keywords":[{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.6798999905586243},{"id":"https://openalex.org/keywords/security-token","display_name":"Security token","score":0.6062999963760376},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.513700008392334},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5076000094413757},{"id":"https://openalex.org/keywords/lexical-analysis","display_name":"Lexical analysis","score":0.42289999127388},{"id":"https://openalex.org/keywords/visual-reasoning","display_name":"Visual reasoning","score":0.37470000982284546},{"id":"https://openalex.org/keywords/language-model","display_name":"Language model","score":0.3578999936580658},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.31949999928474426}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8203999996185303},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.6798999905586243},{"id":"https://openalex.org/C48145219","wikidata":"https://www.wikidata.org/wiki/Q1335365","display_name":"Security token","level":2,"score":0.6062999963760376},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.513700008392334},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5076000094413757},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.438400000333786},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42750000953674316},{"id":"https://openalex.org/C176982825","wikidata":"https://www.wikidata.org/wiki/Q835922","display_name":"Lexical analysis","level":2,"score":0.42289999127388},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3869999945163727},{"id":"https://openalex.org/C2777508537","wikidata":"https://www.wikidata.org/wiki/Q7936620","display_name":"Visual reasoning","level":2,"score":0.37470000982284546},{"id":"https://openalex.org/C137293760","wikidata":"https://www.wikidata.org/wiki/Q3621696","display_name":"Language model","level":2,"score":0.3578999936580658},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.31949999928474426},{"id":"https://openalex.org/C195344581","wikidata":"https://www.wikidata.org/wiki/Q2555318","display_name":"Automated reasoning","level":2,"score":0.31450000405311584},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.29100000858306885},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2849999964237213},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.27730000019073486},{"id":"https://openalex.org/C2775957009","wikidata":"https://www.wikidata.org/wiki/Q399495","display_name":"Standard language","level":2,"score":0.27300000190734863},{"id":"https://openalex.org/C82687282","wikidata":"https://www.wikidata.org/wiki/Q66221","display_name":"Auxiliary memory","level":2,"score":0.27090001106262207},{"id":"https://openalex.org/C2986605239","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Numerical models","level":3,"score":0.27000001072883606},{"id":"https://openalex.org/C201377581","wikidata":"https://www.wikidata.org/wiki/Q863448","display_name":"Reification (Marxism)","level":3,"score":0.267300009727478},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.2655999958515167},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.2549000084400177}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-981-92-3417-2_34","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-981-92-3417-2_34","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":1,"referenced_works":["https://openalex.org/W4388979610"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-18T05:51:51.687321","created_date":"2026-07-17T00:00:00"}