{"id":"https://openalex.org/W3212174264","doi":"https://doi.org/10.1145/3519935.3520060","title":"Matrix anti-concentration inequalities with applications","display_name":"Matrix anti-concentration inequalities with applications","publication_year":2022,"publication_date":"2022-06-09","ids":{"openalex":"https://openalex.org/W3212174264","doi":"https://doi.org/10.1145/3519935.3520060","mag":"3212174264"},"language":"en","primary_location":{"id":"doi:10.1145/3519935.3520060","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3519935.3520060","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025410260","display_name":"Zipei Nie","orcid":"https://orcid.org/0000-0001-6863-0218"},"institutions":[{"id":"https://openalex.org/I4210123571","display_name":"Huawei Technologies (France)","ror":"https://ror.org/02rbzf697","country_code":"FR","type":"company","lineage":["https://openalex.org/I2250955327","https://openalex.org/I4210123571"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Zipei Nie","raw_affiliation_strings":["Huawei, France"],"affiliations":[{"raw_affiliation_string":"Huawei, France","institution_ids":["https://openalex.org/I4210123571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025410260"],"corresponding_institution_ids":["https://openalex.org/I4210123571"],"apc_list":null,"apc_paid":null,"fwci":3.33952664,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.86438957,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"2015","issue":null,"first_page":"568","last_page":"581"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5757990479469299},{"id":"https://openalex.org/keywords/matrix-algebra","display_name":"Matrix algebra","score":0.530043363571167},{"id":"https://openalex.org/keywords/random-matrix","display_name":"Random matrix","score":0.505678653717041},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4774613678455353},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4676719903945923},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.4644121825695038},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4341442883014679},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.43338656425476074},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41797035932540894},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37489083409309387},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32682472467422485},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1757340133190155},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13585561513900757},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.09896498918533325}],"concepts":[{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5757990479469299},{"id":"https://openalex.org/C2988995629","wikidata":"https://www.wikidata.org/wiki/Q2915729","display_name":"Matrix algebra","level":3,"score":0.530043363571167},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.505678653717041},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4774613678455353},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4676719903945923},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.4644121825695038},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4341442883014679},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.43338656425476074},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41797035932540894},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37489083409309387},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32682472467422485},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1757340133190155},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13585561513900757},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.09896498918533325},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3519935.3520060","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3519935.3520060","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6399999856948853,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W594076165","https://openalex.org/W994668359","https://openalex.org/W1510269890","https://openalex.org/W1861998795","https://openalex.org/W1974755392","https://openalex.org/W1988956155","https://openalex.org/W1989751882","https://openalex.org/W1996661449","https://openalex.org/W2018233872","https://openalex.org/W2032080903","https://openalex.org/W2034053794","https://openalex.org/W2042699980","https://openalex.org/W2047265165","https://openalex.org/W2050046512","https://openalex.org/W2050767937","https://openalex.org/W2060462816","https://openalex.org/W2062567923","https://openalex.org/W2081131431","https://openalex.org/W2100300741","https://openalex.org/W2106518353","https://openalex.org/W2109357332","https://openalex.org/W2112801300","https://openalex.org/W2124636303","https://openalex.org/W2140874510","https://openalex.org/W2162994716","https://openalex.org/W2168494960","https://openalex.org/W2170078634","https://openalex.org/W2261576411","https://openalex.org/W2330662384","https://openalex.org/W2337305305","https://openalex.org/W2522906795","https://openalex.org/W2524946712","https://openalex.org/W2571352639","https://openalex.org/W2901673254","https://openalex.org/W2962920313","https://openalex.org/W2962989869","https://openalex.org/W2963441888","https://openalex.org/W2963607629","https://openalex.org/W2964089577","https://openalex.org/W3022710621","https://openalex.org/W3082126129","https://openalex.org/W3089028944","https://openalex.org/W3098045837","https://openalex.org/W3099857106","https://openalex.org/W3105280949","https://openalex.org/W3105332629","https://openalex.org/W3106530350","https://openalex.org/W3116248644","https://openalex.org/W3121419732","https://openalex.org/W3150590775","https://openalex.org/W3175143291","https://openalex.org/W3187478993","https://openalex.org/W3196234164","https://openalex.org/W4232006005"],"related_works":["https://openalex.org/W2061128903","https://openalex.org/W1974683205","https://openalex.org/W3101887937","https://openalex.org/W2300708173","https://openalex.org/W2067556672","https://openalex.org/W3099782216","https://openalex.org/W2627011686","https://openalex.org/W4297926996","https://openalex.org/W2042439117","https://openalex.org/W2595304583"],"abstract_inverted_index":{"We":[0],"study":[1],"m":[2,4],"by":[3],"random":[5],"matrices":[6],"M":[7],"with":[8],"jointly":[9],"Gaussian":[10],"entries.":[11],"Assuming":[12],"a":[13],"global":[14],"small-ball":[15],"probability":[16],"bound":[17]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}