{"id":"https://openalex.org/W7162341073","doi":"https://doi.org/10.48550/arxiv.2605.23191","title":"Expand More, Shrink Less: Shaping Effective-Rank Dynamics for Dense Scaling in Recommendation","display_name":"Expand More, Shrink Less: Shaping Effective-Rank Dynamics for Dense Scaling in Recommendation","publication_year":2026,"publication_date":"2026-05-22","ids":{"openalex":"https://openalex.org/W7162341073","doi":"https://doi.org/10.48550/arxiv.2605.23191"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.23191","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.23191","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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.2605.23191","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100752569","display_name":"Guoming Li","orcid":"https://orcid.org/0000-0001-7624-8051"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li, Guoming","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036962057","display_name":"Shangyu Zhang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhang, Shangyu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136913545","display_name":"Junwei Pan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pan, Junwei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057504647","display_name":"Wentao Ning","orcid":"https://orcid.org/0000-0002-7571-6957"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ning, Wentao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136965248","display_name":"Jin Chen","orcid":"https://orcid.org/0000-0002-1326-9346"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Jin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090455039","display_name":"Gengsheng Xue","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xue, Gengsheng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136912614","display_name":"Chao Zhou","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhou, Chao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136950476","display_name":"Shudong Huang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Huang, Shudong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056695193","display_name":"Haijie Gu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gu, Haijie","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5136941508","display_name":"Menglin Yang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yang, Menglin","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/T10203","display_name":"Recommender Systems and Techniques","score":0.5633999705314636,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10203","display_name":"Recommender Systems and Techniques","score":0.5633999705314636,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.12470000237226486,"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/T12026","display_name":"Explainable Artificial Intelligence (XAI)","score":0.04320000112056732,"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/security-token","display_name":"Security token","score":0.7709000110626221},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.6639000177383423},{"id":"https://openalex.org/keywords/mixing","display_name":"Mixing (physics)","score":0.657800018787384},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.6571000218391418},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6388999819755554},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.6197999715805054},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.47839999198913574},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.4336000084877014}],"concepts":[{"id":"https://openalex.org/C48145219","wikidata":"https://www.wikidata.org/wiki/Q1335365","display_name":"Security token","level":2,"score":0.7709000110626221},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7681999802589417},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.6639000177383423},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.657800018787384},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.6571000218391418},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6388999819755554},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6197999715805054},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5062000155448914},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.47839999198913574},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.4336000084877014},{"id":"https://openalex.org/C38858127","wikidata":"https://www.wikidata.org/wiki/Q5441228","display_name":"Feed forward","level":2,"score":0.4178999960422516},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.39820000529289246},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.37540000677108765},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3440999984741211},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3368000090122223},{"id":"https://openalex.org/C21569690","wikidata":"https://www.wikidata.org/wiki/Q94702","display_name":"Collaborative filtering","level":3,"score":0.31630000472068787},{"id":"https://openalex.org/C557471498","wikidata":"https://www.wikidata.org/wiki/Q554950","display_name":"Recommender system","level":2,"score":0.3156000077724457},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3077999949455261},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3068000078201294},{"id":"https://openalex.org/C177321328","wikidata":"https://www.wikidata.org/wiki/Q13580479","display_name":"Goldilocks principle","level":2,"score":0.3028999865055084},{"id":"https://openalex.org/C59404180","wikidata":"https://www.wikidata.org/wiki/Q17013334","display_name":"Feature learning","level":2,"score":0.28299999237060547},{"id":"https://openalex.org/C123657996","wikidata":"https://www.wikidata.org/wiki/Q12271","display_name":"Architecture","level":2,"score":0.2822999954223633},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.2791999876499176},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.25999999046325684},{"id":"https://openalex.org/C65375091","wikidata":"https://www.wikidata.org/wiki/Q6884079","display_name":"Mixing patterns","level":3,"score":0.2590000033378601},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.25839999318122864},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.25279998779296875}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.23191","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.23191","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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.2605.23191","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.23191","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Scaling":[0],"recommendation":[1,148],"models":[2],"is":[3,159],"a":[4,20,82,97],"central":[5],"challenge":[6],"in":[7,86],"recommender":[8],"systems.":[9],"Recently,":[10],"RankMixer":[11,39],"has":[12],"emerged":[13],"as":[14,73],"an":[15],"effective":[16,49],"solution,":[17],"operating":[18],"on":[19,139],"unified":[21],"token":[22,27,68,119],"representation":[23,57,131],"and":[24,29,53,62,70,125,153],"alternating":[25],"between":[26],"mixing":[28,69,120],"per-token":[30],"feedforward":[31],"networks":[32],"(P-FFNs)":[33],"to":[34],"achieve":[35],"scalable":[36],"performance.":[37],"However,":[38],"suffers":[40],"from":[41],"\\textit{embedding":[42],"collapse},":[43],"where":[44],"learned":[45],"representations":[46,103],"have":[47],"low":[48],"rank,":[50],"limiting":[51],"expressivity":[52],"underutilizing":[54],"the":[55,74],"expanded":[56],"space.":[58],"Through":[59],"empirical":[60],"analysis":[61],"theoretical":[63],"insights,":[64],"we":[65,94],"identify":[66],"rigid":[67],"P-FFN":[71],"modules":[72],"primary":[75],"causes":[76],"of":[77],"this":[78,162],"phenomenon,":[79],"jointly":[80],"inducing":[81],"\\textbf{damped":[83],"oscillatory":[84],"trajectory}":[85],"effective-rank":[87],"evolution":[88],"across":[89],"layers.":[90],"To":[91],"address":[92],"it,":[93],"propose":[95],"RankElastor,":[96],"novel":[98],"architecture":[99],"that":[100,144],"produces":[101],"spectrum-robust":[102],"with":[104,121],"provable":[105],"collapse":[106],"mitigation.":[107],"RankElastor":[108,145],"introduces":[109],"two":[110],"components:":[111],"(i)":[112],"\\textbf{parameterized":[113],"full":[114],"mixing},":[115],"which":[116,129],"enables":[117],"expressive":[118],"improved":[122],"spectral":[123],"robustness;":[124],"(ii)":[126],"\\textbf{GLU-improved":[127],"P-FFNs},":[128],"stabilize":[130],"spectra":[132],"through":[133],"GLU-style":[134],"FFN":[135],"modules.":[136],"Extensive":[137],"experiments":[138],"large-scale":[140],"industrial":[141],"datasets":[142],"demonstrate":[143],"consistently":[146],"improves":[147],"performance,":[149],"mitigates":[150],"embedding":[151],"collapse,":[152],"exhibits":[154],"robust":[155],"scaling":[156],"behavior.":[157],"Code":[158],"available":[160],"at":[161],"GitHub":[163],"repository:":[164],"https://github.com/vasile-paskardlgm/RankElastor":[165]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-05-26T00:00:00"}
