{"id":"https://openalex.org/W7160211431","doi":"https://doi.org/10.48550/arxiv.2605.00380","title":"ResRL: Boosting LLM Reasoning via Negative Sample Projection Residual Reinforcement Learning","display_name":"ResRL: Boosting LLM Reasoning via Negative Sample Projection Residual Reinforcement Learning","publication_year":2026,"publication_date":"2026-05-01","ids":{"openalex":"https://openalex.org/W7160211431","doi":"https://doi.org/10.48550/arxiv.2605.00380"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.00380","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.00380","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":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.2605.00380","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5135162302","display_name":"Zihan Lin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lin, Zihan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135180501","display_name":"Xiaohan Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Xiaohan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135225731","display_name":"Jie Cao","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cao, Jie","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135206098","display_name":"Jiajun Chai","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chai, Jiajun","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135197177","display_name":"Li Wang","orcid":"https://orcid.org/0000-0003-2007-4384"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Li","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135158468","display_name":"Xiaodong Lu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lu, Xiaodong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135118734","display_name":"Wei Lin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lin, Wei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135220158","display_name":"Ran He","orcid":"https://orcid.org/0000-0002-0295-6837"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"He, Ran","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5135136398","display_name":"Guojun Yin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yin, Guojun","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/T10028","display_name":"Topic Modeling","score":0.3628999888896942,"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":0.3628999888896942,"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/T11714","display_name":"Multimodal Machine Learning Applications","score":0.13379999995231628,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.06790000200271606,"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/reinforcement-learning","display_name":"Reinforcement learning","score":0.7469000220298767},{"id":"https://openalex.org/keywords/boosting","display_name":"Boosting (machine learning)","score":0.6481999754905701},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5792999863624573},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.4569000005722046},{"id":"https://openalex.org/keywords/verifiable-secret-sharing","display_name":"Verifiable secret sharing","score":0.4262999892234802},{"id":"https://openalex.org/keywords/sample","display_name":"Sample (material)","score":0.41440001130104065},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4034000039100647}],"concepts":[{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.7469000220298767},{"id":"https://openalex.org/C46686674","wikidata":"https://www.wikidata.org/wiki/Q466303","display_name":"Boosting (machine learning)","level":2,"score":0.6481999754905701},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6481000185012817},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6177999973297119},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5792999863624573},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.46369999647140503},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.4569000005722046},{"id":"https://openalex.org/C85847156","wikidata":"https://www.wikidata.org/wiki/Q59015987","display_name":"Verifiable secret sharing","level":3,"score":0.4262999892234802},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.41440001130104065},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4034000039100647},{"id":"https://openalex.org/C67203356","wikidata":"https://www.wikidata.org/wiki/Q1321905","display_name":"Reinforcement","level":2,"score":0.3946000039577484},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3465999960899353},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.2858000099658966},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.2768000066280365},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27489998936653137},{"id":"https://openalex.org/C19768560","wikidata":"https://www.wikidata.org/wiki/Q320727","display_name":"Dependency (UML)","level":2,"score":0.2687000036239624},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.25920000672340393},{"id":"https://openalex.org/C2780148112","wikidata":"https://www.wikidata.org/wiki/Q1432581","display_name":"Proxy (statistics)","level":2,"score":0.2563999891281128}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.00380","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.00380","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":"doi:10.48550/arxiv.2605.00380","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.00380","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":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Reinforcement":[0,31,68],"Learning":[1,69],"with":[2],"Verifiable":[3],"Rewards":[4],"(RLVR)":[5],"enhances":[6],"reasoning":[7,56,127,154],"of":[8,23],"Large":[9],"Language":[10],"Models":[11],"(LLMs)":[12],"but":[13],"usually":[14],"exhibits":[15],"limited":[16],"generation":[17],"diversity":[18,130],"due":[19],"to":[20,88,101,122],"the":[21,45],"over-incentivization":[22],"positive":[24,50,77,116],"rewards.":[25],"Although":[26],"methods":[27],"like":[28],"Negative":[29],"Sample":[30],"(NSR)":[32],"mitigate":[33],"this":[34,61],"issue":[35],"by":[36,155],"upweighting":[37],"penalty":[38],"from":[39],"negative":[40,52,64,79,124],"samples,":[41],"they":[42],"may":[43],"suppress":[44],"semantic":[46,74],"distributions":[47,75],"shared":[48],"between":[49],"and":[51,78,92,118,131,145,159],"responses.":[53,80],"To":[54],"boost":[55],"ability":[57],"without":[58],"losing":[59],"diversity,":[60],"paper":[62],"proposes":[63],"sample":[65],"projection":[66,120],"Residual":[67],"(ResRL)":[70],"that":[71,97],"decouples":[72],"similar":[73],"among":[76],"We":[81],"theoretically":[82],"link":[83],"Lazy":[84],"Likelihood":[85],"Displacement":[86],"(LLD)":[87],"negative-positive":[89],"head-gradient":[90],"interference":[91],"derive":[93],"a":[94],"single-forward":[95],"proxy":[96],"upper-bounds":[98],"representation":[99],"alignment":[100],"guide":[102],"conservative":[103],"advantage":[104],"reweighting.":[105],"ResRL":[106,149],"then":[107],"projects":[108],"negative-token":[109],"hidden":[110],"representations":[111],"onto":[112],"an":[113],"SVD-based":[114],"low-rank":[115],"subspace":[117],"uses":[119],"residuals":[121],"modulate":[123],"gradients,":[125],"improving":[126],"while":[128],"preserving":[129],"outperforming":[132],"strong":[133],"baselines":[134],"on":[135,152],"average":[136],"across":[137],"twelve":[138],"benchmarks":[139],"spanning":[140],"Mathematics,":[141],"Code,":[142],"Agent":[143],"Tasks,":[144],"Function":[146],"Calling.":[147],"Notably,":[148],"surpasses":[150],"NSR":[151],"mathematical":[153],"9.4\\%":[156],"in":[157,161],"Avg@16":[158],"7.0\\%":[160],"Pass@128.":[162],"Code":[163],"is":[164],"available":[165],"at":[166],"https://github.com/1229095296/ResRL.git.":[167]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-05-05T00:00:00"}