{"id":"https://openalex.org/W7165038129","doi":"https://doi.org/10.48550/arxiv.2606.17889","title":"Dimensionality Controls When Modularity Helps in Continual Learning","display_name":"Dimensionality Controls When Modularity Helps in Continual Learning","publication_year":2026,"publication_date":"2026-06-16","ids":{"openalex":"https://openalex.org/W7165038129","doi":"https://doi.org/10.48550/arxiv.2606.17889"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.17889","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.17889","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.2606.17889","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5120349562","display_name":"Kathrin Korte","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Korte, Kathrin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085962666","display_name":"C. Adriano","orcid":"https://orcid.org/0000-0003-2588-9937"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Adriano, Christian Medeiros","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090011209","display_name":"Joachim Winther Pedersen","orcid":"https://orcid.org/0000-0001-7884-9432"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pedersen, Joachim Winther","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064736397","display_name":"Eleni Nisioti","orcid":"https://orcid.org/0000-0001-7170-7108"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nisioti, Eleni","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5020511097","display_name":"Sebastian Risi","orcid":"https://orcid.org/0000-0003-3607-8400"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Risi, Sebastian","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/T11307","display_name":"Domain Adaptation and Few-Shot Learning","score":0.9419999718666077,"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/T11307","display_name":"Domain Adaptation and Few-Shot Learning","score":0.9419999718666077,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.003800000064074993,"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/T12808","display_name":"Ferroelectric and Negative Capacitance Devices","score":0.0034000000450760126,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.7698000073432922},{"id":"https://openalex.org/keywords/modularity","display_name":"Modularity (biology)","score":0.6833999752998352},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6816999912261963},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.5511000156402588},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.5339000225067139},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.5157999992370605},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.5042999982833862},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.43950000405311584}],"concepts":[{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.7698000073432922},{"id":"https://openalex.org/C2779478453","wikidata":"https://www.wikidata.org/wiki/Q6889748","display_name":"Modularity (biology)","level":2,"score":0.6833999752998352},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6816999912261963},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6330999732017517},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5824000239372253},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.5511000156402588},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.5339000225067139},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.5157999992370605},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.5042999982833862},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.44200000166893005},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.43950000405311584},{"id":"https://openalex.org/C12725497","wikidata":"https://www.wikidata.org/wiki/Q810247","display_name":"Baseline (sea)","level":2,"score":0.357699990272522},{"id":"https://openalex.org/C97931131","wikidata":"https://www.wikidata.org/wiki/Q5282087","display_name":"Discriminative model","level":2,"score":0.3325999975204468},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.301800012588501},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.29820001125335693},{"id":"https://openalex.org/C22367795","wikidata":"https://www.wikidata.org/wiki/Q7625208","display_name":"Structured prediction","level":2,"score":0.29670000076293945},{"id":"https://openalex.org/C175154964","wikidata":"https://www.wikidata.org/wiki/Q380077","display_name":"Task analysis","level":3,"score":0.2865999937057495},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.27880001068115234},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2754000127315521},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.27320000529289246},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.2700999975204468},{"id":"https://openalex.org/C88482812","wikidata":"https://www.wikidata.org/wiki/Q6453666","display_name":"Modular programming","level":2,"score":0.2694000005722046},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.2639000117778778}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.17889","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.17889","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.2606.17889","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.17889","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Compositional":[0],"learning":[1,42],"systems":[2],"must":[3],"balance":[4],"plasticity,":[5],"the":[6,14,100,131,137],"ability":[7],"to":[8,53],"acquire":[9],"new":[10],"knowledge,":[11],"with":[12,146],"stability,":[13],"preservation":[15],"of":[16,172,175],"previously":[17],"learned":[18],"components,":[19],"especially":[20],"when":[21,87,154],"tasks":[22],"share":[23],"structure":[24,83,157],"and":[25,35,60,76,118,127,164,168],"risk":[26],"interference.":[27],"We":[28],"study":[29],"how":[30],"modular":[31,82,101,156],"architecture,":[32],"task":[33],"similarity,":[34],"representational":[36,138,147,176],"dimensionality":[37],"jointly":[38],"shape":[39],"compositional":[40,126],"continual":[41,162],"in":[43,161],"a":[44,49,54,67,93,124,150],"sequential":[45],"A-B-A":[46],"paradigm,":[47],"comparing":[48],"task-partitioned":[50],"recurrent":[51],"network":[52,102],"single-network":[55],"baseline":[56],"while":[57],"inducing":[58],"high-":[59],"low-dimensional":[61],"regimes":[62],"via":[63],"weight-scale":[64],"manipulations.":[65],"In":[66,92],"high-dimensional":[68],"\"lazy\"":[69],"regime,":[70,96],"both":[71],"architectures":[72],"achieve":[73],"similar":[74,110],"performance":[75],"internal":[77],"geometry,":[78],"suggesting":[79],"that":[80,107],"explicit":[81],"has":[84],"little":[85],"impact":[86],"representations":[88],"are":[89],"weakly":[90],"constrained.":[91],"lower-dimensional":[94],"\"rich\"":[95],"modularity":[97],"becomes":[98],"decisive:":[99],"develops":[103],"graded":[104],"task-specific":[105],"subspaces":[106,177],"overlap":[108],"for":[109,114,120],"tasks,":[111,117,122],"partially":[112],"align":[113],"moderately":[115],"dissimilar":[116,121],"separate":[119],"yielding":[123],"more":[125],"interpretable":[128],"organization":[129],"than":[130,179],"single":[132],"network.":[133],"These":[134],"findings":[135],"identify":[136],"regime":[139],"induced":[140],"by":[141],"initialization":[142],"scale,":[143],"which":[144],"co-varies":[145],"dimensionality,":[148],"as":[149,170],"key":[151],"factor":[152],"governing":[153],"compositional,":[155],"is":[158],"functionally":[159],"beneficial":[160],"learning,":[163],"support":[165],"viewing":[166],"safety":[167],"robustness":[169],"problems":[171],"adaptive":[173],"allocation":[174],"rather":[178],"fixed":[180],"separation":[181],"versus":[182],"sharing.":[183]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-06-18T00:00:00"}