{"id":"https://openalex.org/W3198445769","doi":"https://doi.org/10.1145/3688824","title":"Matrix hypercontractivity, streaming algorithms and LDCs: the large alphabet case","display_name":"Matrix hypercontractivity, streaming algorithms and LDCs: the large alphabet case","publication_year":2024,"publication_date":"2024-08-27","ids":{"openalex":"https://openalex.org/W3198445769","doi":"https://doi.org/10.1145/3688824","mag":"3198445769"},"language":"en","primary_location":{"id":"doi:10.1145/3688824","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3688824","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3688824","source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computation Theory","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3688824","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5106746003","display_name":"Srinivasan Arunachalam","orcid":"https://orcid.org/0000-0001-6014-6624"},"institutions":[{"id":"https://openalex.org/I4210106712","display_name":"Alliance for Safe Kids","ror":"https://ror.org/01922pt58","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210106712"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Srinivasan Arunachalam","raw_affiliation_strings":["IBM, Yorktown Heights, USA"],"raw_orcid":"https://orcid.org/0000-0001-6014-6624","affiliations":[{"raw_affiliation_string":"IBM, Yorktown Heights, USA","institution_ids":["https://openalex.org/I4210106712"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051227736","display_name":"Jo\u00e3o F. Doriguello","orcid":"https://orcid.org/0000-0002-8265-7334"},"institutions":[{"id":"https://openalex.org/I115455960","display_name":"Centre for Quantum Technologies","ror":"https://ror.org/01mgdzc49","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115455960"]},{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["HU","SG"],"is_corresponding":false,"raw_author_name":"Joao F. Doriguello","raw_affiliation_strings":["Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Budapest, Hungary","Centre for Quantum Technologies, National University of Singapore, Singapore Singapore"],"raw_orcid":"https://orcid.org/0000-0002-8265-7334","affiliations":[{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Budapest, Hungary","institution_ids":["https://openalex.org/I127817813"]},{"raw_affiliation_string":"Centre for Quantum Technologies, National University of Singapore, Singapore Singapore","institution_ids":["https://openalex.org/I115455960","https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2778,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.5628539,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"16","issue":"4","first_page":"1","last_page":"38"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9991000294685364,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9991000294685364,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/alphabet","display_name":"Alphabet","score":0.632518470287323},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5526387095451355},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5101814270019531},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.435162752866745},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41132399439811707},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3739323019981384},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.06475916504859924},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.06423458456993103}],"concepts":[{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.632518470287323},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5526387095451355},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5101814270019531},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.435162752866745},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41132399439811707},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3739323019981384},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.06475916504859924},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06423458456993103},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3688824","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3688824","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3688824","source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computation Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2109.02600","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.02600","pdf_url":"https://arxiv.org/pdf/2109.02600","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.1145/3688824","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3688824","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3688824","source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computation Theory","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5428356290","display_name":null,"funder_award_id":"NRF2021-QEP2-02-P05","funder_id":"https://openalex.org/F4320320709","funder_display_name":"National Research Foundation Singapore"}],"funders":[{"id":"https://openalex.org/F4320320709","display_name":"National Research Foundation Singapore","ror":"https://ror.org/03cpyc314"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W3198445769.pdf"},"referenced_works_count":91,"referenced_works":["https://openalex.org/W131378802","https://openalex.org/W858176025","https://openalex.org/W1500761685","https://openalex.org/W1505096007","https://openalex.org/W1555149635","https://openalex.org/W1639030016","https://openalex.org/W1654586045","https://openalex.org/W1656219175","https://openalex.org/W1679714949","https://openalex.org/W1824295098","https://openalex.org/W1891181203","https://openalex.org/W1963961606","https://openalex.org/W1965765215","https://openalex.org/W1967703498","https://openalex.org/W1980669364","https://openalex.org/W1985123706","https://openalex.org/W1990896327","https://openalex.org/W1991584875","https://openalex.org/W1997010704","https://openalex.org/W2000211775","https://openalex.org/W2001766583","https://openalex.org/W2003425214","https://openalex.org/W2010510058","https://openalex.org/W2018047324","https://openalex.org/W2022829242","https://openalex.org/W2028914943","https://openalex.org/W2042194938","https://openalex.org/W2051869207","https://openalex.org/W2059123783","https://openalex.org/W2062881383","https://openalex.org/W2071949273","https://openalex.org/W2073240615","https://openalex.org/W2073346043","https://openalex.org/W2080745194","https://openalex.org/W2081531738","https://openalex.org/W2087038607","https://openalex.org/W2088263428","https://openalex.org/W2094654291","https://openalex.org/W2103749128","https://openalex.org/W2120217745","https://openalex.org/W2120282110","https://openalex.org/W2120296961","https://openalex.org/W2122780600","https://openalex.org/W2126216220","https://openalex.org/W2142120204","https://openalex.org/W2143698439","https://openalex.org/W2148488235","https://openalex.org/W2150307013","https://openalex.org/W2150884088","https://openalex.org/W2242452602","https://openalex.org/W2327680971","https://openalex.org/W2334237942","https://openalex.org/W2522552430","https://openalex.org/W2559245580","https://openalex.org/W2569746101","https://openalex.org/W2570927556","https://openalex.org/W2747965299","https://openalex.org/W2803437989","https://openalex.org/W2804172638","https://openalex.org/W2885803187","https://openalex.org/W2899721392","https://openalex.org/W2911845931","https://openalex.org/W2952096125","https://openalex.org/W2953240458","https://openalex.org/W2962980142","https://openalex.org/W2963507783","https://openalex.org/W2963692174","https://openalex.org/W2964245156","https://openalex.org/W2999234369","https://openalex.org/W3028378217","https://openalex.org/W3084226633","https://openalex.org/W3099721694","https://openalex.org/W3102754027","https://openalex.org/W3103511209","https://openalex.org/W3104153247","https://openalex.org/W3120356220","https://openalex.org/W3126995463","https://openalex.org/W3129913172","https://openalex.org/W3156923007","https://openalex.org/W3157355167","https://openalex.org/W3171167615","https://openalex.org/W3173219382","https://openalex.org/W4206039841","https://openalex.org/W4214921067","https://openalex.org/W4236077470","https://openalex.org/W4237171398","https://openalex.org/W4252630569","https://openalex.org/W4285537405","https://openalex.org/W4313227204","https://openalex.org/W4365935945","https://openalex.org/W4394669558"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"We":[0,59,112],"prove":[1,18,172],"a":[2,19,72,115],"hypercontractive":[3,38],"inequality":[4,26,170],"for":[5,27,46,64,118,155],"matrix-valued":[6],"functions":[7],"defined":[8,55],"over":[9,56,130,162],"large":[10,57,131],"alphabets.":[11,58],"In":[12],"order":[13],"to":[14],"do":[15],"so,":[16],"we":[17,40,84,144,171],"generalization":[20],"of":[21,30,50,68,98,177],"the":[22,47,51,66,91,109,167],"powerful":[23],"2-uniform":[24],"convexity":[25],"trace":[28],"norms":[29],"Ball,":[31],"Carlen,":[32],"Lieb":[33],"(Inventiones":[34],"Mathematicae\u201994).":[35],"Using":[36,142],"our":[37,80],"inequality,":[39],"present":[41,114],"upper":[42],"and":[43,165],"lower":[44,82,116,148,175],"bounds":[45],"communication":[48,81],"complexity":[49],"Hidden":[52],"Hypermatching":[53],"problem":[54],"then":[60],"consider":[61],"streaming":[62,88],"algorithms":[63],"approximating":[65],"value":[67,100],"Unique":[69],"Games":[70],"on":[71],"hypergraph":[73],"with":[74,133],"t":[75],"-size":[76],"hyperedges.":[77],"By":[78],"using":[79,166],"bound,":[83],"show":[85],"that":[86],"every":[87],"algorithm":[89],"in":[90],"adversarial":[92],"model":[93],"achieving":[94],"an":[95,146,173],"\\((r-\\varepsilon)\\)":[96],"-approximation":[97],"this":[99],"requires":[101],"\\(\\Omega":[102],"(n^{1-2/t})\\)":[103],"quantum":[104],"space,":[105],"where":[106],"r":[107],"is":[108],"alphabet":[110],"size.":[111],"next":[113],"bound":[117,149,176],"locally":[119],"decodable":[120],"codes":[121],"(":[122],"\\(\\mathsf":[123,159],"{LDC}\\)":[124,160],")":[125],"\\(\\mathbb":[126,163],"{Z}_r^n\\rightarrow":[127],"\\mathbb":[128],"{Z}_r^N\\)":[129],"alphabets":[132],"recoverability":[134],"probability":[135],"at":[136],"least":[137],"\\(1/r":[138],"+":[139],"\\varepsilon\\)":[140],".":[141,183],"hypercontractivity,":[143],"give":[145],"exponential":[147],"\\(N=":[150,178],"2^{\\Omega":[151,179],"(\\varepsilon":[152,180],"^4":[153],"n/r^4)}\\)":[154],"2-query":[156],"(possibly":[157],"non-linear)":[158],"s":[161],"{Z}_r\\)":[164],"non-commutative":[168],"Khintchine":[169],"improved":[174],"^2":[181],"n/r^2)}\\)":[182]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
