{"id":"https://openalex.org/W1980850695","doi":"https://doi.org/10.1109/isit.2013.6620689","title":"A rate-distortion theory for permutation spaces","display_name":"A rate-distortion theory for permutation spaces","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1980850695","doi":"https://doi.org/10.1109/isit.2013.6620689","mag":"1980850695"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2013.6620689","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620689","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/1721.1/91130","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100359324","display_name":"Da Wang","orcid":"https://orcid.org/0000-0001-6855-0082"},"institutions":[{"id":"https://openalex.org/I4210110987","display_name":"IIT@MIT","ror":"https://ror.org/01wp8zh54","country_code":"US","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210110987"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Da Wang","raw_affiliation_strings":["EECS Department, MIT, Cambridge, MA, USA","EECS Department MIT, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EECS Department, MIT, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210110987"]},{"raw_affiliation_string":"EECS Department MIT, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210110987"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051046818","display_name":"Arya Mazumdar","orcid":"https://orcid.org/0000-0003-4605-7996"},"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":"Arya Mazumdar","raw_affiliation_strings":["ECE Department, University of Minnesota, MN, USA","ECE Dept., University of Minnesota, Minneapolis, MN, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ECE Department, University of Minnesota, MN, USA","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"ECE Dept., University of Minnesota, Minneapolis, MN, USA#TAB#","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066172831","display_name":"Gregory W. Wornell","orcid":"https://orcid.org/0000-0001-9166-4758"},"institutions":[{"id":"https://openalex.org/I4210110987","display_name":"IIT@MIT","ror":"https://ror.org/01wp8zh54","country_code":"US","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210110987"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gregory W. Wornell","raw_affiliation_strings":["EECS Department, MIT, Cambridge, MA, USA","EECS Department MIT, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EECS Department, MIT, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210110987"]},{"raw_affiliation_string":"EECS Department MIT, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210110987"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5169,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.90621822,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"2562","last_page":"2566"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9994999766349792,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9991999864578247,"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/codebook","display_name":"Codebook","score":0.8784338235855103},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.7287294268608093},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6802155375480652},{"id":"https://openalex.org/keywords/rate\u2013distortion-theory","display_name":"Rate\u2013distortion theory","score":0.6449388861656189},{"id":"https://openalex.org/keywords/source-code","display_name":"Source code","score":0.5807772278785706},{"id":"https://openalex.org/keywords/lossy-compression","display_name":"Lossy compression","score":0.57244873046875},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5019159317016602},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.500690221786499},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44620344042778015},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4368012845516205},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3672465682029724},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.338100790977478},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.22809654474258423},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14476421475410461},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12714552879333496},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11716607213020325}],"concepts":[{"id":"https://openalex.org/C127759330","wikidata":"https://www.wikidata.org/wiki/Q637416","display_name":"Codebook","level":2,"score":0.8784338235855103},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.7287294268608093},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6802155375480652},{"id":"https://openalex.org/C64185310","wikidata":"https://www.wikidata.org/wiki/Q843483","display_name":"Rate\u2013distortion theory","level":3,"score":0.6449388861656189},{"id":"https://openalex.org/C43126263","wikidata":"https://www.wikidata.org/wiki/Q128751","display_name":"Source code","level":2,"score":0.5807772278785706},{"id":"https://openalex.org/C165021410","wikidata":"https://www.wikidata.org/wiki/Q55564","display_name":"Lossy compression","level":2,"score":0.57244873046875},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5019159317016602},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.500690221786499},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44620344042778015},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4368012845516205},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3672465682029724},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.338100790977478},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.22809654474258423},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14476421475410461},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12714552879333496},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11716607213020325},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/isit.2013.6620689","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620689","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.395.8012","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.395.8012","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ece.umn.edu/users/arya/papers/rd_isit13.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.821.5132","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.821.5132","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dspace.mit.edu/bitstream/handle/1721.1/91130/Wornell_A%20rate.pdf%3Bjsessionid%3D63EB0DC265F19065E71FB769D57A3D4C?sequence%3D1","raw_type":"text"},{"id":"pmh:oai:dspace.mit.edu:1721.1/91130","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/91130","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"MIT web domain","raw_type":"http://purl.org/eprint/type/ConferencePaper"}],"best_oa_location":{"id":"pmh:oai:dspace.mit.edu:1721.1/91130","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/91130","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"MIT web domain","raw_type":"http://purl.org/eprint/type/ConferencePaper"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1481520974","https://openalex.org/W1600537614","https://openalex.org/W2005913625","https://openalex.org/W2040651417","https://openalex.org/W2111726541","https://openalex.org/W2126209209","https://openalex.org/W2128970384","https://openalex.org/W2147996100","https://openalex.org/W2148602768","https://openalex.org/W2171980820","https://openalex.org/W2175677593","https://openalex.org/W2326587081","https://openalex.org/W2913924976","https://openalex.org/W2914659449","https://openalex.org/W2915009580","https://openalex.org/W2953054710","https://openalex.org/W3198160809","https://openalex.org/W4298707304","https://openalex.org/W6628646329","https://openalex.org/W6676867134"],"related_works":["https://openalex.org/W2114010146","https://openalex.org/W2186984260","https://openalex.org/W2171075649","https://openalex.org/W1554604567","https://openalex.org/W2063823725","https://openalex.org/W2153621579","https://openalex.org/W4302308161","https://openalex.org/W2953321782","https://openalex.org/W2103422876","https://openalex.org/W2951498803"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,6,11,14,21,33,42,58,63,67],"lossy":[3],"compression":[4],"of":[5,16,32],"permutation":[7],"space":[8],"by":[9],"analyzing":[10],"trade-off":[12],"between":[13],"size":[15,65],"a":[17],"source":[18],"code":[19,48,73],"and":[20,45],"distortion":[22,38,68],"with":[23],"respect":[24],"to":[25,71],"either":[26],"Kendall":[27],"tau":[28],"distance":[29],"or":[30,76],"\u21131distance":[31],"inversion":[34],"vectors.":[35],"For":[36],"both":[37],"measures,":[39],"we":[40,54],"characterize":[41],"rate-distortion":[43],"functions":[44],"provide":[46,55],"explicit":[47],"designs":[49],"that":[50],"achieve":[51],"them.":[52],"Finally,":[53],"bounds":[56],"on":[57],"higher":[59],"order":[60],"terms":[61],"in":[62],"codebook":[64],"when":[66],"levels":[69],"lead":[70],"degenerate":[72],"rates":[74],"(0":[75],"1).":[77]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":6}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}