{"id":"https://openalex.org/W3110543062","doi":"https://doi.org/10.1109/isit50566.2022.9834592","title":"Monotonicity of the Trace\u2013Inverse of Covariance Submatrices and Two-Sided Prediction","display_name":"Monotonicity of the Trace\u2013Inverse of Covariance Submatrices and Two-Sided Prediction","publication_year":2022,"publication_date":"2022-06-26","ids":{"openalex":"https://openalex.org/W3110543062","doi":"https://doi.org/10.1109/isit50566.2022.9834592","mag":"3110543062"},"language":"en","primary_location":{"id":"doi:10.1109/isit50566.2022.9834592","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834592","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 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/A5065152975","display_name":"Anatoly Khina","orcid":"https://orcid.org/0000-0003-2359-1678"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Anatoly Khina","raw_affiliation_strings":["Tel Aviv University,Department of Electrical Engineering&#x2013; Systems,Tel Aviv,Israel,6997801"],"affiliations":[{"raw_affiliation_string":"Tel Aviv University,Department of Electrical Engineering&#x2013; Systems,Tel Aviv,Israel,6997801","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011311476","display_name":"Arie Yeredor","orcid":"https://orcid.org/0000-0003-4296-6850"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Arie Yeredor","raw_affiliation_strings":["Tel Aviv University,Department of Electrical Engineering&#x2013; Systems,Tel Aviv,Israel,6997801"],"affiliations":[{"raw_affiliation_string":"Tel Aviv University,Department of Electrical Engineering&#x2013; Systems,Tel Aviv,Israel,6997801","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027550575","display_name":"Ram Zamir","orcid":"https://orcid.org/0000-0003-1800-3886"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ram Zamir","raw_affiliation_strings":["Tel Aviv University,Department of Electrical Engineering&#x2013; Systems,Tel Aviv,Israel,6997801"],"affiliations":[{"raw_affiliation_string":"Tel Aviv University,Department of Electrical Engineering&#x2013; Systems,Tel Aviv,Israel,6997801","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065152975"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"450","last_page":"455"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9979000091552734,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9979000091552734,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9955999851226807,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/trace","display_name":"TRACE (psycholinguistics)","score":0.6770523190498352},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6336617469787598},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6106430292129517},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.6088232398033142},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.5259592533111572},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5051212906837463},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.4585244059562683},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40394729375839233},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37795090675354004},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35228776931762695},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34533464908599854},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32171571254730225},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2792021930217743},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.11925411224365234},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.05812874436378479}],"concepts":[{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.6770523190498352},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6336617469787598},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6106430292129517},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.6088232398033142},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.5259592533111572},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5051212906837463},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.4585244059562683},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40394729375839233},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37795090675354004},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35228776931762695},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34533464908599854},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32171571254730225},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2792021930217743},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.11925411224365234},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.05812874436378479},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit50566.2022.9834592","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834592","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W130599074","https://openalex.org/W1523857737","https://openalex.org/W1526492958","https://openalex.org/W1589810931","https://openalex.org/W1667165204","https://openalex.org/W1980687209","https://openalex.org/W1985792892","https://openalex.org/W2025032762","https://openalex.org/W2032558547","https://openalex.org/W2033988967","https://openalex.org/W2045463928","https://openalex.org/W2046245205","https://openalex.org/W2055547925","https://openalex.org/W2056129277","https://openalex.org/W2078480837","https://openalex.org/W2078685623","https://openalex.org/W2095008514","https://openalex.org/W2099111195","https://openalex.org/W2100263847","https://openalex.org/W2115608667","https://openalex.org/W2130029117","https://openalex.org/W2133932898","https://openalex.org/W2139746427","https://openalex.org/W2139873872","https://openalex.org/W2143254081","https://openalex.org/W2314891489","https://openalex.org/W2478708596","https://openalex.org/W2576310190","https://openalex.org/W2610857016","https://openalex.org/W2799137445","https://openalex.org/W2904690976","https://openalex.org/W3028376465","https://openalex.org/W4234225207","https://openalex.org/W4239274110","https://openalex.org/W6605697617"],"related_works":["https://openalex.org/W2077314575","https://openalex.org/W4315701745","https://openalex.org/W1990290471","https://openalex.org/W4380682190","https://openalex.org/W2005710836","https://openalex.org/W2102386043","https://openalex.org/W2945307361","https://openalex.org/W2886934452","https://openalex.org/W1489099099","https://openalex.org/W2024369332"],"abstract_inverted_index":{"It":[0],"is":[1,52,56,64,71,83,97],"common":[2],"to":[3,103],"assess":[4],"the":[5,17,40,44,62,68,80],"\"memory":[6],"strength\"":[7],"of":[8,21,39,43],"a":[9],"stationary":[10],"process":[11,63],"by":[12],"looking":[13],"at":[14],"how":[15],"fast":[16],"normalized":[18,41],"log\u2013":[19],"determinant":[20],"its":[22],"covariance":[23,45],"submatrices":[24],"(i.e.,":[25],"entropy":[26,69],"rate)":[27],"decreases.":[28],"In":[29],"this":[30,50,95],"work,":[31],"we":[32],"propose":[33],"an":[34,101],"alternative":[35,102],"characterization":[36],"in":[37],"terms":[38],"trace\u2013inverse":[42],"submatrices.":[46],"We":[47],"show":[48],"that":[49],"sequence":[51],"monotonically":[53],"non-decreasing":[54],"and":[55,59,92],"constant":[57],"if":[58,61],"only":[60],"white.":[65],"Furthermore,":[66],"while":[67],"rate":[70],"associated":[72,84],"with":[73,85],"one-sided":[74],"prediction":[75,87],"errors":[76,88],"(present":[77,89],"from":[78,90],"past),":[79],"new":[81],"measure":[82,96],"two-sided":[86],"past":[91],"future).":[93],"Minimizing":[94],"then":[98],"used":[99],"as":[100],"Burg\u2019s":[104],"maximum-entropy":[105],"principle":[106],"for":[107],"spectral":[108],"estimation.":[109]},"counts_by_year":[],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}
