{"id":"https://openalex.org/W2999758202","doi":"https://doi.org/10.1109/tit.2021.3066005","title":"On the Optimal Load-Memory Tradeoff of Cache-Aided Scalar Linear Function Retrieval","display_name":"On the Optimal Load-Memory Tradeoff of Cache-Aided Scalar Linear Function Retrieval","publication_year":2021,"publication_date":"2021-03-15","ids":{"openalex":"https://openalex.org/W2999758202","doi":"https://doi.org/10.1109/tit.2021.3066005","mag":"2999758202"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2021.3066005","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2021.3066005","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2001.03577","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042862785","display_name":"Kai Wan","orcid":"https://orcid.org/0000-0003-4671-3287"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kai Wan","raw_affiliation_strings":["Electrical Engineering and Computer Science Department, Technische Universit\u00e4t Berlin, Berlin, Germany","Technical University of Berlin"],"raw_orcid":"https://orcid.org/0000-0003-4671-3287","affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Science Department, Technische Universit\u00e4t Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"Technical University of Berlin","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016951190","display_name":"Hua Sun","orcid":"https://orcid.org/0000-0001-8777-7987"},"institutions":[{"id":"https://openalex.org/I123534392","display_name":"University of North Texas","ror":"https://ror.org/00v97ad02","country_code":"US","type":"education","lineage":["https://openalex.org/I123534392"]},{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"Hua Sun","raw_affiliation_strings":["Department of Electrical Engineering, University of North Texas, Denton, TX, USA","Technical University of Berlin"],"raw_orcid":"https://orcid.org/0000-0001-8777-7987","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of North Texas, Denton, TX, USA","institution_ids":["https://openalex.org/I123534392"]},{"raw_affiliation_string":"Technical University of Berlin","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058487273","display_name":"Mingyue Ji","orcid":"https://orcid.org/0000-0002-7970-2245"},"institutions":[{"id":"https://openalex.org/I123534392","display_name":"University of North Texas","ror":"https://ror.org/00v97ad02","country_code":"US","type":"education","lineage":["https://openalex.org/I123534392"]},{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mingyue Ji","raw_affiliation_strings":["Electrical and Computer Engineering Department, The University of Utah, Salt Lake City, UT, USA","University of North Texas;"],"raw_orcid":"https://orcid.org/0000-0002-7970-2245","affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, The University of Utah, Salt Lake City, UT, USA","institution_ids":["https://openalex.org/I223532165"]},{"raw_affiliation_string":"University of North Texas;","institution_ids":["https://openalex.org/I123534392"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009609470","display_name":"Daniela Tuninetti","orcid":"https://orcid.org/0000-0003-1880-4798"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]},{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniela Tuninetti","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of Illinois at Chicago, Chicago, IL, USA","University of Utah"],"raw_orcid":"https://orcid.org/0000-0003-1880-4798","affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of Illinois at Chicago, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"University of Utah","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058252389","display_name":"Giuseppe Caire","orcid":"https://orcid.org/0000-0002-7749-1333"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]},{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"Giuseppe Caire","raw_affiliation_strings":["Electrical Engineering and Computer Science Department, Technische Universit\u00e4t Berlin, Berlin, Germany","University of Illinois at #TAB#Chicago"],"raw_orcid":"https://orcid.org/0000-0002-7749-1333","affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Science Department, Technische Universit\u00e4t Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"University of Illinois at #TAB#Chicago","institution_ids":["https://openalex.org/I39422238"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6514,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.69145058,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"67","issue":"6","first_page":"4001","last_page":"4018"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11478","display_name":"Caching and Content Delivery","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11478","display_name":"Caching and Content Delivery","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/cache","display_name":"Cache","score":0.845372200012207},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7824448347091675},{"id":"https://openalex.org/keywords/multicast","display_name":"Multicast","score":0.5385763049125671},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5347005724906921},{"id":"https://openalex.org/keywords/cpu-cache","display_name":"CPU cache","score":0.49401527643203735},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.491759330034256},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3561912178993225},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3146153688430786},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.30174392461776733},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.13445761799812317}],"concepts":[{"id":"https://openalex.org/C115537543","wikidata":"https://www.wikidata.org/wiki/Q165596","display_name":"Cache","level":2,"score":0.845372200012207},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7824448347091675},{"id":"https://openalex.org/C32295351","wikidata":"https://www.wikidata.org/wiki/Q899288","display_name":"Multicast","level":2,"score":0.5385763049125671},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5347005724906921},{"id":"https://openalex.org/C189783530","wikidata":"https://www.wikidata.org/wiki/Q352090","display_name":"CPU cache","level":3,"score":0.49401527643203735},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.491759330034256},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3561912178993225},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3146153688430786},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.30174392461776733},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13445761799812317},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tit.2021.3066005","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2021.3066005","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2001.03577","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.03577","pdf_url":"https://arxiv.org/pdf/2001.03577","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2999758202","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2001.03577.pdf","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2001.03577","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2001.03577","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":"pmh:oai:arXiv.org:2001.03577","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.03577","pdf_url":"https://arxiv.org/pdf/2001.03577","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2947931565","display_name":"SpecEES: Dynamic Space Frequency Multiplexing - A New Paradigm for Filterbank Multicarrier Spectrum Access","funder_award_id":"1824558","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3740226685","display_name":"CIF: Small: Fundamental Tradeoffs Between Communication Load and Storage Resources in Distributed systems","funder_award_id":"1910309","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4487682990","display_name":"Collaborative Research: CIF: Small: Communication, Storage, Complexity, and Security: A Holistic View on the Fundamental Limits and Code Designs for Private Information Retrieval","funder_award_id":"2007108","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8687165572","display_name":"CIF: Small: Fundamental Limits of Caching Networks with General Topologies","funder_award_id":"1817154","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1606035500","https://openalex.org/W2106248279","https://openalex.org/W2169897889","https://openalex.org/W2236240782","https://openalex.org/W2517585112","https://openalex.org/W2527594325","https://openalex.org/W2724579330","https://openalex.org/W2757498728","https://openalex.org/W2793858273","https://openalex.org/W2878002416","https://openalex.org/W2889585362","https://openalex.org/W2906543194","https://openalex.org/W2913330947","https://openalex.org/W2925280121","https://openalex.org/W2927855553","https://openalex.org/W2950847865","https://openalex.org/W2962887591","https://openalex.org/W2963776931","https://openalex.org/W2964220651","https://openalex.org/W2970675090","https://openalex.org/W2972837842","https://openalex.org/W2976403362","https://openalex.org/W2976884690","https://openalex.org/W2977092266","https://openalex.org/W2999009127","https://openalex.org/W2999842575","https://openalex.org/W3005122631","https://openalex.org/W3011949594","https://openalex.org/W3080122651","https://openalex.org/W3095173930","https://openalex.org/W3103610239","https://openalex.org/W3104312721","https://openalex.org/W3120150571","https://openalex.org/W3124990156","https://openalex.org/W3125356412","https://openalex.org/W6689458619","https://openalex.org/W6767894208","https://openalex.org/W6772922354"],"related_works":["https://openalex.org/W2106248279","https://openalex.org/W3080122651","https://openalex.org/W3001688473","https://openalex.org/W2889585362","https://openalex.org/W3138068998","https://openalex.org/W3103610239","https://openalex.org/W3117536670","https://openalex.org/W2974523224","https://openalex.org/W2970675090","https://openalex.org/W2236240782","https://openalex.org/W3038230323","https://openalex.org/W3124990156","https://openalex.org/W2971476613","https://openalex.org/W1606035500","https://openalex.org/W3016513585","https://openalex.org/W2799041781","https://openalex.org/W3049325994","https://openalex.org/W2998178972","https://openalex.org/W3125910951","https://openalex.org/W2912200391"],"abstract_inverted_index":{"Coded":[0],"caching":[1,43,62],"has":[2,137,213],"the":[3,12,28,32,40,60,70,104,108,116,119,122,139,150,168,178,209],"potential":[4],"to":[5,23,73,159,204,207,220],"greatly":[6],"reduce":[7],"network":[8],"traffic":[9],"by":[10,35,124],"leveraging":[11],"cheap":[13],"and":[14,37,96,127,156,223],"abundant":[15],"storage":[16],"available":[17],"in":[18,27],"end-user":[19],"devices":[20],"so":[21],"as":[22,118,143],"create":[24],"multicast":[25],"opportunities":[26],"delivery":[29],"phase.":[30],"In":[31],"seminal":[33],"work":[34],"Maddah-Ali":[36],"Niesen":[38],"(MAN),":[39],"shared-link":[41],"coded":[42],"problem":[44,63],"was":[45],"formulated,":[46],"where":[47],"each":[48],"user":[49],"demands":[50,114],"one":[51,120],"file":[52,55,67,132],"(i.e.,":[53],"single":[54,66,131],"retrieval).":[56],"This":[57],"article":[58,199],"generalizes":[59],"MAN":[61,92,211],"formulation":[64],"from":[65,99],"retrieval":[68,78,222],"on":[69,79,91,184,190],"binary":[71],"filed":[72],"general":[74],"scalar":[75],"linear":[76],"function":[77],"an":[80],"arbitrary":[81,185],"finite":[82,186],"field.":[83],"The":[84,134,194],"proposed":[85,109,135,169,179],"novel":[86],"scheme":[87,110,123,136,170,180,212],"is":[88,115,147,157,175],"linear,":[89],"based":[90],"uncoded":[93,153],"cache":[94,154],"placement,":[95,155],"leverages":[97],"ideas":[98],"interference":[100],"alignment.":[101],"Quite":[102],"surprisingly,":[103],"worst-case":[105],"load":[106],"of":[107,121,152,167,197],"among":[111],"all":[112,205],"possible":[113],"same":[117,140],"Yu,":[125],"Maddah-Ali,":[126],"Avestimehr":[128],"(YMA)":[129],"for":[130],"retrieval.":[133],"thus":[138],"optimality":[141],"guarantees":[142],"YMA,":[144],"namely,":[145],"it":[146],"optimal":[148,158],"under":[149],"constraint":[151],"within":[160],"a":[161],"factor":[162],"2":[163],"otherwise.":[164],"Some":[165],"extensions":[166],"are":[171],"then":[172],"discussed.":[173],"It":[174],"shown":[176],"that":[177],"works":[181],"not":[182,218],"only":[183],"field,":[187],"but":[188,217],"also":[189,202],"any":[191],"commutative":[192],"ring.":[193],"key":[195],"idea":[196],"this":[198],"can":[200],"be":[201],"extended":[203],"scenarios":[206],"which":[208],"original":[210],"been":[214],"extended,":[215],"including":[216],"limited":[219],"demand-private":[221],"Device-to-Device":[224],"networks.":[225]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}