{"id":"https://openalex.org/W4281667950","doi":"https://doi.org/10.1145/3519935.3520006","title":"List-decodable covariance estimation","display_name":"List-decodable covariance estimation","publication_year":2022,"publication_date":"2022-06-09","ids":{"openalex":"https://openalex.org/W4281667950","doi":"https://doi.org/10.1145/3519935.3520006"},"language":"en","primary_location":{"id":"doi:10.1145/3519935.3520006","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3519935.3520006","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3519935.3520006","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3519935.3520006","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007407911","display_name":"Misha Ivkov","orcid":"https://orcid.org/0000-0001-8764-3014"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Misha Ivkov","raw_affiliation_strings":["Carnegie Mellon University, USA"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068103506","display_name":"Pravesh K. Kothari","orcid":"https://orcid.org/0000-0002-8689-6770"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pravesh K. Kothari","raw_affiliation_strings":["Carnegie Mellon University, USA"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007407911"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":1.2333,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.7963789,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1276","last_page":"1283"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9970999956130981,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9970999956130981,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9930999875068665,"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/T11512","display_name":"Anomaly Detection Techniques and Applications","score":0.9918000102043152,"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/covariance","display_name":"Covariance","score":0.7140769362449646},{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.6080511808395386},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5689168572425842},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.31775224208831787},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2610907554626465},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13176798820495605},{"id":"https://openalex.org/keywords/systems-engineering","display_name":"Systems engineering","score":0.061182618141174316}],"concepts":[{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.7140769362449646},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.6080511808395386},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5689168572425842},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.31775224208831787},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2610907554626465},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13176798820495605},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.061182618141174316}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3519935.3520006","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3519935.3520006","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3519935.3520006","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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"},{"id":"pmh:oai:arXiv.org:2206.10942","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2206.10942","pdf_url":"https://arxiv.org/pdf/2206.10942","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.1145/3519935.3520006","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3519935.3520006","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3519935.3520006","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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"},"sustainable_development_goals":[{"score":0.8399999737739563,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1171700966","display_name":null,"funder_award_id":"NSF CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6671297155","display_name":null,"funder_award_id":"CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6894402473","display_name":null,"funder_award_id":"Fellowship","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"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4281667950.pdf","grobid_xml":"https://content.openalex.org/works/W4281667950.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W2171394996","https://openalex.org/W2554864439","https://openalex.org/W2964288084","https://openalex.org/W3002207671","https://openalex.org/W3032696844","https://openalex.org/W3035763474","https://openalex.org/W3093456580","https://openalex.org/W3128545493","https://openalex.org/W3128731393","https://openalex.org/W3129046222","https://openalex.org/W3170087187","https://openalex.org/W4205196152","https://openalex.org/W4291475751","https://openalex.org/W4297043798","https://openalex.org/W4299420913","https://openalex.org/W4301168154"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052","https://openalex.org/W4402327032","https://openalex.org/W2382290278"],"abstract_inverted_index":{"We":[0],"give":[1],"the":[2,45,79],"first":[3],"polynomial":[4],"time":[5],"algorithm":[6,17,106],"for":[7,110],"list-decodable":[8],"covariance":[9,53],"estimation.":[10],"For":[11],"any":[12,111],"\u03b1":[13],">":[14],"0,":[15],"our":[16],"takes":[18],"input":[19],"a":[20,60,75,86],"sample":[21,39],"Y":[22],"\u2286":[23],"d":[24],"of":[25,41,63,90,119,126,132],"size":[26,42],"n\u2265":[27],"dpoly(1/\u03b1)":[28],"obtained":[29],"by":[30],"adversarially":[31],"corrupting":[32],"an":[33,37],"(1\u2212\u03b1)n":[34],"points":[35],"in":[36],"i.i.d.":[38],"X":[40],"n":[43],"from":[44],"Gaussian":[46],"distribution":[47,112],"with":[48,71,101],"unknown":[49],"mean":[50],"\u00b5*":[51],"and":[52,92,96,129],"\u03a3*.":[54],"In":[55],"npoly(1/\u03b1)":[56],"time,":[57],"it":[58],"outputs":[59],"constant-size":[61],"list":[62],"k":[64],"=":[65],"k(\u03b1)=":[66],"(1/\u03b1)poly(1/\u03b1)":[67],"candidate":[68],"parameters":[69],"that,":[70],"high":[72],"probability,":[73],"contains":[74],"(\u00b5,\u03a3)":[76],"such":[77],"that":[78,114],"total":[80],"variation":[81],"distance":[82,91,99],"TV(N(\u00b5*,\u03a3*),N(\u00b5,\u03a3))<1\u2212O\u03b1(1).":[83],"This":[84],"is":[85],"statistically":[87],"strongest":[88],"notion":[89],"implies":[93],"multiplicative":[94],"spectral":[95],"relative":[97],"Frobenius":[98],"approximation":[100],"dimension":[102],"independent":[103],"error.":[104],"Our":[105],"works":[107],"more":[108],"generally":[109],"D":[113],"possesses":[115],"low-degree":[116],"sum-of-squares":[117],"certificates":[118],"two":[120],"natural":[121],"analytic":[122],"properties:":[123],"1)":[124],"anti-concentration":[125],"one-dimensional":[127],"marginals":[128],"2)":[130],"hypercontractivity":[131],"degree":[133],"2":[134],"polynomials.":[135]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
