{"id":"https://openalex.org/W4385834098","doi":"https://doi.org/10.1109/tit.2023.3305538","title":"Matrix Reordering for Noisy Disordered Matrices: Optimality and Computationally Efficient Algorithms","display_name":"Matrix Reordering for Noisy Disordered Matrices: Optimality and Computationally Efficient Algorithms","publication_year":2023,"publication_date":"2023-08-15","ids":{"openalex":"https://openalex.org/W4385834098","doi":"https://doi.org/10.1109/tit.2023.3305538","pmid":"https://pubmed.ncbi.nlm.nih.gov/39036782"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2023.3305538","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tit.2023.3305538","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11257605/pdf/nihms-1954964.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101559383","display_name":"T. Tony Cai","orcid":null},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"T. Tony Cai","raw_affiliation_strings":["Department of Statistics and Data Science, University of Pennsylvania, Philadelphia, PA, USA"],"raw_orcid":"https://orcid.org/0000-0002-1673-6296","affiliations":[{"raw_affiliation_string":"Department of Statistics and Data Science, University of Pennsylvania, Philadelphia, PA, USA","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062373772","display_name":"Rong Ma","orcid":"https://orcid.org/0000-0002-9248-8503"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rong Ma","raw_affiliation_strings":["Department of Biostatistics, Harvard University, Boston, MA, USA"],"raw_orcid":"https://orcid.org/0000-0002-9248-8503","affiliations":[{"raw_affiliation_string":"Department of Biostatistics, Harvard University, Boston, MA, USA","institution_ids":["https://openalex.org/I136199984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2691,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61808274,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"70","issue":"1","first_page":"509","last_page":"531"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11289","display_name":"Single-cell and spatial transcriptomics","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T11289","display_name":"Single-cell and spatial transcriptomics","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9973999857902527,"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/T10885","display_name":"Gene expression and cancer classification","score":0.9710999727249146,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6327744722366333},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.5784000158309937},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5397461652755737},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5335301160812378},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.5251103043556213},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5192877650260925},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.42936277389526367},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.42033305764198303},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.4198142886161804},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3700217604637146},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35136887431144714}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6327744722366333},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.5784000158309937},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5397461652755737},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5335301160812378},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.5251103043556213},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5192877650260925},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.42936277389526367},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.42033305764198303},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.4198142886161804},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3700217604637146},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35136887431144714},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tit.2023.3305538","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tit.2023.3305538","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmid:39036782","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39036782","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on information theory","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:11257605","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11257605","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11257605/pdf/nihms-1954964.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Trans Inf Theory","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:pubmedcentral.nih.gov:11257605","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11257605","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11257605/pdf/nihms-1954964.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Trans Inf Theory","raw_type":"Text"},"sustainable_development_goals":[{"score":0.800000011920929,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G2294664485","display_name":null,"funder_award_id":"R01 GM129781","funder_id":"https://openalex.org/F4320337354","funder_display_name":"National Institute of General Medical Sciences"},{"id":"https://openalex.org/G2398027306","display_name":null,"funder_award_id":"R01-GM129781","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G2579372804","display_name":"Collaborative Research: Transfer Learning for Large-Scale Inference: General Framework and Data-Driven Algorithms","funder_award_id":"2015259","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5158986248","display_name":null,"funder_award_id":"DMS-2015259","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7906736422","display_name":null,"funder_award_id":"GM129781","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320308507","display_name":"Stanford University","ror":"https://ror.org/00f54p054"},{"id":"https://openalex.org/F4320309370","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337354","display_name":"National Institute of General Medical Sciences","ror":"https://ror.org/04q48ey07"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4385834098.pdf","grobid_xml":"https://content.openalex.org/works/W4385834098.grobid-xml"},"referenced_works_count":88,"referenced_works":["https://openalex.org/W98259458","https://openalex.org/W1486683834","https://openalex.org/W1495302720","https://openalex.org/W1511694993","https://openalex.org/W1546318054","https://openalex.org/W1560620039","https://openalex.org/W1577300772","https://openalex.org/W1584796555","https://openalex.org/W1940321820","https://openalex.org/W1981141292","https://openalex.org/W1984883254","https://openalex.org/W1987082524","https://openalex.org/W2006935644","https://openalex.org/W2020012304","https://openalex.org/W2032291279","https://openalex.org/W2034384973","https://openalex.org/W2035076036","https://openalex.org/W2055734527","https://openalex.org/W2065205300","https://openalex.org/W2068135051","https://openalex.org/W2087542520","https://openalex.org/W2109830302","https://openalex.org/W2118017182","https://openalex.org/W2118777243","https://openalex.org/W2130406232","https://openalex.org/W2131172946","https://openalex.org/W2135815582","https://openalex.org/W2149378299","https://openalex.org/W2151889136","https://openalex.org/W2158131091","https://openalex.org/W2166638893","https://openalex.org/W2167573667","https://openalex.org/W2170590171","https://openalex.org/W2412593044","https://openalex.org/W2609907341","https://openalex.org/W2611234466","https://openalex.org/W2739848020","https://openalex.org/W2883607844","https://openalex.org/W2900739425","https://openalex.org/W2927507212","https://openalex.org/W2950509224","https://openalex.org/W2962743744","https://openalex.org/W2962953548","https://openalex.org/W2963611811","https://openalex.org/W2963975913","https://openalex.org/W2990800013","https://openalex.org/W2997404769","https://openalex.org/W3026325780","https://openalex.org/W3042984284","https://openalex.org/W3080728474","https://openalex.org/W3080812057","https://openalex.org/W3083197524","https://openalex.org/W3094601696","https://openalex.org/W3099028652","https://openalex.org/W3099973750","https://openalex.org/W3101741532","https://openalex.org/W3103897503","https://openalex.org/W3104095169","https://openalex.org/W3106455008","https://openalex.org/W3108785675","https://openalex.org/W3113203205","https://openalex.org/W3127939736","https://openalex.org/W3127945696","https://openalex.org/W3168785652","https://openalex.org/W3212459243","https://openalex.org/W4229688926","https://openalex.org/W4233447374","https://openalex.org/W4239183290","https://openalex.org/W4250954493","https://openalex.org/W4287027934","https://openalex.org/W4300244654","https://openalex.org/W4307541338","https://openalex.org/W4322492072","https://openalex.org/W4399546757","https://openalex.org/W4399636775","https://openalex.org/W6603979841","https://openalex.org/W6634869654","https://openalex.org/W6639267717","https://openalex.org/W6672337213","https://openalex.org/W6674853019","https://openalex.org/W6675697846","https://openalex.org/W6679168169","https://openalex.org/W6682298320","https://openalex.org/W6737158355","https://openalex.org/W6745117273","https://openalex.org/W6753432223","https://openalex.org/W6773998373","https://openalex.org/W6799794485"],"related_works":["https://openalex.org/W2389462125","https://openalex.org/W2091997962","https://openalex.org/W151496359","https://openalex.org/W1969863203","https://openalex.org/W4220662591","https://openalex.org/W856465872","https://openalex.org/W1987843132","https://openalex.org/W4246602344","https://openalex.org/W2016131521","https://openalex.org/W961142965"],"abstract_inverted_index":{"Motivated":[0],"by":[1],"applications":[2],"in":[3,33],"single-cell":[4,90],"biology":[5],"and":[6,37,63,85],"metagenomics,":[7],"we":[8,55,72],"investigate":[9],"the":[10,26,46,95],"problem":[11,32],"of":[12,87,97],"matrix":[13,22],"reordering":[14],"based":[15],"on":[16],"a":[17,34,40,57,74],"noisy":[18],"disordered":[19],"monotone":[20],"Toeplitz":[21],"model.":[23],"We":[24],"establish":[25],"fundamental":[27],"statistical":[28],"limit":[29],"for":[30],"this":[31],"decision-theoretic":[35],"framework":[36],"demonstrate":[38,94],"that":[39,65],"constrained":[41],"least":[42],"squares":[43],"estimator":[44],"achieves":[45],"optimal":[47],"rate.":[48],"However,":[49],"due":[50],"to":[51],"its":[52],"computational":[53],"complexity,":[54],"analyze":[56],"popular":[58],"polynomial-time":[59,76],"algorithm,":[60],"spectral":[61],"seriation,":[62],"show":[64],"it":[66],"is":[67],"suboptimal.":[68],"To":[69],"address":[70],"this,":[71],"propose":[73],"novel":[75],"adaptive":[77],"sorting":[78],"algorithm":[79,99],"with":[80],"guaranteed":[81],"performance":[82],"improvement.":[83],"Simulations":[84],"analyses":[86],"two":[88],"real":[89],"RNA":[91],"sequencing":[92],"datasets":[93],"superiority":[96],"our":[98],"over":[100],"existing":[101],"methods.":[102]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2025-12-24T23:09:58.560324","created_date":"2025-10-10T00:00:00"}