{"id":"https://openalex.org/W4412939950","doi":"https://doi.org/10.1109/tit.2025.3595521","title":"A Novel Gaussian Min\u2013Max Theorem and Its Applications","display_name":"A Novel Gaussian Min\u2013Max Theorem and Its Applications","publication_year":2025,"publication_date":"2025-08-04","ids":{"openalex":"https://openalex.org/W4412939950","doi":"https://doi.org/10.1109/tit.2025.3595521"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2025.3595521","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3595521","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"],"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/A5036629613","display_name":"Danil Akhtiamov","orcid":"https://orcid.org/0000-0002-9238-9636"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Danil Akhtiamov","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA, USA","California Institute of Technology Pasadena, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-9238-9636","affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"California Institute of Technology Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016124948","display_name":"David D. Bosch","orcid":"https://orcid.org/0000-0001-9021-8705"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]},{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE","US"],"is_corresponding":false,"raw_author_name":"David Bosch","raw_affiliation_strings":["Department of Data Science and AI, Chalmers University of Technology, Gothenburg, Sweden","California Institute of Technology Pasadena, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Data Science and AI, Chalmers University of Technology, Gothenburg, Sweden","institution_ids":["https://openalex.org/I66862912"]},{"raw_affiliation_string":"California Institute of Technology Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5093219798","display_name":"Reza Ghane","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Reza Ghane","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA, USA","California Institute of Technology Pasadena, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-3232-9359","affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"California Institute of Technology Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Nithin K. Varma","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nithin K. Varma","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA, USA","California Institute of Technology Pasadena, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"California Institute of Technology Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002430773","display_name":"Babak Hassibi","orcid":"https://orcid.org/0000-0002-1375-5838"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]},{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE","US"],"is_corresponding":false,"raw_author_name":"Babak Hassibi","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA, USA","Chalmers University of Technology Gothenburg, Sweden"],"raw_orcid":"https://orcid.org/0000-0002-1375-5838","affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Chalmers University of Technology Gothenburg, Sweden","institution_ids":["https://openalex.org/I66862912"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7588,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.8783008,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"71","issue":"11","first_page":"8777","last_page":"8797"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.5444999933242798,"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/T10320","display_name":"Neural Networks and Applications","score":0.5444999933242798,"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/T13734","display_name":"Advanced Computational Techniques and Applications","score":0.5256999731063843,"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/T13717","display_name":"Advanced Algorithms and Applications","score":0.5038999915122986,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/gaussian","display_name":"Gaussian","score":0.46420818567276},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4542329013347626},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.41543304920196533},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4109067916870117},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3516390919685364},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34326648712158203},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33828651905059814},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15473288297653198}],"concepts":[{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.46420818567276},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4542329013347626},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.41543304920196533},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4109067916870117},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3516390919685364},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34326648712158203},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33828651905059814},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15473288297653198},{"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/tit.2025.3595521","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3595521","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W74946117","https://openalex.org/W2040745222","https://openalex.org/W2069754508","https://openalex.org/W2963017107","https://openalex.org/W2963966702","https://openalex.org/W3093568497","https://openalex.org/W4245577611","https://openalex.org/W4401692097","https://openalex.org/W4409974857"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2140288152","https://openalex.org/W2963637926","https://openalex.org/W2799769525","https://openalex.org/W2048140462","https://openalex.org/W1966851638","https://openalex.org/W2101272603","https://openalex.org/W1964286703","https://openalex.org/W2169866437","https://openalex.org/W3056417032"],"abstract_inverted_index":{"A":[0],"celebrated":[1],"result":[2,26],"by":[3,64],"Gordon":[4],"allows":[5],"one":[6],"to":[7,110,123,133],"compare":[8],"the":[9,28,89,96,99,104,124],"min-max":[10,30,35],"behavior":[11],"of":[12,24,59,79,126,136],"two":[13],"Gaussian":[14,29,34,60,80,101,128,138],"processes":[15,81],"if":[16],"certain":[17],"inequality":[18],"conditions":[19],"are":[20],"met.":[21],"The":[22,85,118],"consequences":[23],"this":[25,72],"include":[27],"(GMT)":[31],"and":[32,50,92],"convex":[33],"(CGMT)":[36],"theorems":[37,54,87],"which":[38],"have":[39],"had":[40],"far-reaching":[41],"implications":[42],"in":[43,103],"high-dimensional":[44],"statistics,":[45],"machine":[46],"learning,":[47],"non-smooth":[48],"optimization,":[49],"signal":[51],"processing.":[52],"Both":[53],"rely":[55],"on":[56],"a":[57,76],"pair":[58,78],"processes,":[61],"first":[62],"identified":[63],"Slepian,":[65],"that":[66],"satisfy":[67],"Gordon\u2019s":[68],"comparison":[69],"inequalities.":[70,84],"In":[71],"paper,":[73],"we":[74],"identify":[75],"new":[77,119],"satisfying":[82],"these":[83],"resulting":[86],"extend":[88],"classical":[90],"GMT":[91],"CGMT":[93,120],"Theorems":[94],"from":[95],"case":[97],"where":[98,111],"underlying":[100],"matrix":[102],"primary":[105],"process":[106],"has":[107,113],"iid":[108],"rows":[109],"it":[112],"independent":[114],"but":[115],"non-identically-distributed":[116],"ones.":[117],"is":[121],"applied":[122],"problems":[125],"multi-source":[127],"regression,":[129],"as":[130,132],"well":[131],"binary":[134],"classification":[135],"general":[137],"mixture":[139],"models.":[140]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}