{"id":"https://openalex.org/W3198849326","doi":"https://doi.org/10.1109/isit45174.2021.9518137","title":"Retrieving Data Permutations from Noisy Observations: High and Low Noise Asymptotics","display_name":"Retrieving Data Permutations from Noisy Observations: High and Low Noise Asymptotics","publication_year":2021,"publication_date":"2021-07-12","ids":{"openalex":"https://openalex.org/W3198849326","doi":"https://doi.org/10.1109/isit45174.2021.9518137","mag":"3198849326"},"language":"en","primary_location":{"id":"doi:10.1109/isit45174.2021.9518137","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9518137","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","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/A5002182854","display_name":"Minoh Jeong","orcid":"https://orcid.org/0000-0002-4854-917X"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Minoh Jeong","raw_affiliation_strings":["University of Minnesota,Minneapolis,MN,USA,55455","University of Minnesota, Minneapolis, MN, USA"],"affiliations":[{"raw_affiliation_string":"University of Minnesota,Minneapolis,MN,USA,55455","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066257035","display_name":"Alex Dytso","orcid":"https://orcid.org/0000-0003-0625-5306"},"institutions":[{"id":"https://openalex.org/I118118575","display_name":"New Jersey Institute of Technology","ror":"https://ror.org/05e74xb87","country_code":"US","type":"education","lineage":["https://openalex.org/I118118575"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alex Dytso","raw_affiliation_strings":["New Jersey Institute of Technology,Newark,NJ,USA,07102","New Jersey Institute of Technology, Newark, NJ, USA"],"affiliations":[{"raw_affiliation_string":"New Jersey Institute of Technology,Newark,NJ,USA,07102","institution_ids":["https://openalex.org/I118118575"]},{"raw_affiliation_string":"New Jersey Institute of Technology, Newark, NJ, USA","institution_ids":["https://openalex.org/I118118575"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002409766","display_name":"Martina Cardone","orcid":"https://orcid.org/0000-0003-2989-4880"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Martina Cardone","raw_affiliation_strings":["University of Minnesota,Minneapolis,MN,USA,55455","University of Minnesota, Minneapolis, MN, USA"],"affiliations":[{"raw_affiliation_string":"University of Minnesota,Minneapolis,MN,USA,55455","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002182854"],"corresponding_institution_ids":["https://openalex.org/I130238516"],"apc_list":null,"apc_paid":null,"fwci":0.56,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.73653519,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1100","last_page":"1105"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","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/T10764","display_name":"Privacy-Preserving Technologies in Data","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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9990000128746033,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9983000159263611,"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/noise","display_name":"Noise (video)","score":0.5637926459312439},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5099207162857056},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4505860209465027},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.4431920647621155},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4321436583995819},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3989236056804657},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3844602406024933},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3649645447731018},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36084046959877014},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.281316339969635},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2416127324104309}],"concepts":[{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5637926459312439},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5099207162857056},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4505860209465027},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4431920647621155},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4321436583995819},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3989236056804657},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3844602406024933},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3649645447731018},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36084046959877014},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.281316339969635},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2416127324104309},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit45174.2021.9518137","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9518137","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G547280532","display_name":null,"funder_award_id":"CCF-1849757","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5670484434","display_name":"CRII: CIF: Distributed Computing with Privacy and Security Considerations","funder_award_id":"1849757","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W568673721","https://openalex.org/W1974199422","https://openalex.org/W1988289682","https://openalex.org/W2056589181","https://openalex.org/W2109426455","https://openalex.org/W2507257702","https://openalex.org/W2585735816","https://openalex.org/W2768422320","https://openalex.org/W2903148077","https://openalex.org/W2903651703","https://openalex.org/W2950509224","https://openalex.org/W2963572345","https://openalex.org/W2963609603","https://openalex.org/W2964159889","https://openalex.org/W2971705276","https://openalex.org/W2976698170","https://openalex.org/W2976959746","https://openalex.org/W3080384694","https://openalex.org/W3098206614","https://openalex.org/W3108785675","https://openalex.org/W3160313372","https://openalex.org/W3198849326","https://openalex.org/W4206180546","https://openalex.org/W4245577611","https://openalex.org/W4247899490","https://openalex.org/W4253871110","https://openalex.org/W6631362934","https://openalex.org/W6639267717","https://openalex.org/W6757008190","https://openalex.org/W6759432892","https://openalex.org/W6795172630"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W1991411408","https://openalex.org/W2066456778","https://openalex.org/W4288278856"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"the":[3,7,24,52,58,64,77,82,89,96,107,126,131,152,163,177,181],"problem":[4],"of":[5,9,26,54,66,79,81,84,109,165,183],"recovering":[6],"permutation":[8],"an":[10],"n-dimensional":[11],"random":[12],"vector":[13],"X":[14,55],"observed":[15],"in":[16,88,146],"Gaussian":[17],"noise.":[18],"First,":[19],"a":[20,31,39,72],"general":[21],"expression":[22,46,179],"for":[23,63,100,136,156,180],"probability":[25,83,108,164],"error":[27,85,110],"is":[28,42,111,125,133,141,167,185],"derived":[29,45],"when":[30,57],"linear":[32,35],"decoder":[33],"(i.e.,":[34,69],"estimator":[36],"followed":[37],"by":[38],"sorting":[40],"operation)":[41],"used.":[43],"The":[44],"holds":[47],"with":[48,71],"minimal":[49],"assumptions":[50],"on":[51],"distribution":[53],"and":[56,91,139,176],"noise":[59,68,70,93,98,127,154],"has":[60],"memory.":[61],"Second,":[62],"case":[65],"isotropic":[67],"diagonal":[73],"scalar":[74],"covariance":[75],"matrix),":[76],"rates":[78],"convergence":[80,184],"are":[86],"characterized":[87],"high":[90,153],"low":[92,97],"regimes.":[94],"In":[95,151],"regime,":[99,155],"every":[101,157],"dimension":[102,158],"<tex":[103,117,122,147,159,172],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[104,118,123,148,160,173],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$n$</tex>":[105,149,161],",":[106,120,162,175],"shown":[112,142,168],"to":[113,116,143,169],"behave":[114,144,170],"proportionally":[115],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\sigma$</tex>":[119,124],"where":[121],"standard":[128],"deviation.":[129],"Moreover,":[130],"slope":[132],"computed":[134],"exactly":[135],"several":[137],"distributions":[138],"it":[140],"quadratically":[145],".":[150],"correctness":[166],"as":[171],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$1/\\sigma$</tex>":[174],"exact":[178],"rate":[182],"also":[186],"provided.":[187]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
