{"id":"https://openalex.org/W4386075112","doi":"https://doi.org/10.1109/isit54713.2023.10206511","title":"Minimax Risk Upper Bounds Based on Shell Analysis of a Quantized Maximum Likelihood Estimator","display_name":"Minimax Risk Upper Bounds Based on Shell Analysis of a Quantized Maximum Likelihood Estimator","publication_year":2023,"publication_date":"2023-06-25","ids":{"openalex":"https://openalex.org/W4386075112","doi":"https://doi.org/10.1109/isit54713.2023.10206511"},"language":"en","primary_location":{"id":"doi:10.1109/isit54713.2023.10206511","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/isit54713.2023.10206511","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 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/A5081884775","display_name":"N. Gavish","orcid":null},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Noam Gavish","raw_affiliation_strings":["The Hebrew University of Jerusalem,School of Computer Science and Engineering,Jerusalem,Israel","School of Computer Science and Engineering, The Hebrew University of Jerusalem, Jerusalem, Israel"],"affiliations":[{"raw_affiliation_string":"The Hebrew University of Jerusalem,School of Computer Science and Engineering,Jerusalem,Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"School of Computer Science and Engineering, The Hebrew University of Jerusalem, Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004351362","display_name":"Or Ordentlich","orcid":"https://orcid.org/0000-0002-5791-7923"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Or Ordentlich","raw_affiliation_strings":["The Hebrew University of Jerusalem,School of Computer Science and Engineering,Jerusalem,Israel","School of Computer Science and Engineering, The Hebrew University of Jerusalem, Jerusalem, Israel"],"affiliations":[{"raw_affiliation_string":"The Hebrew University of Jerusalem,School of Computer Science and Engineering,Jerusalem,Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"School of Computer Science and Engineering, The Hebrew University of Jerusalem, Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081884775"],"corresponding_institution_ids":["https://openalex.org/I197251160"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11586889,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2105","last_page":"2110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9994000196456909,"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":0.9994000196456909,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"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":0.9909999966621399,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.7872970104217529},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7007437944412231},{"id":"https://openalex.org/keywords/minimax-estimator","display_name":"Minimax estimator","score":0.6900538802146912},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.6739859580993652},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6650456786155701},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5980219841003418},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5701649188995361},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.5199497938156128},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4853038191795349},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4832230508327484},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44943559169769287},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.42669111490249634},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4190026521682739},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3248789310455322},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.323067843914032},{"id":"https://openalex.org/keywords/minimum-variance-unbiased-estimator","display_name":"Minimum-variance unbiased estimator","score":0.22840666770935059},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1670982837677002},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07210254669189453},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06021997332572937}],"concepts":[{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.7872970104217529},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7007437944412231},{"id":"https://openalex.org/C133939421","wikidata":"https://www.wikidata.org/wiki/Q6865379","display_name":"Minimax estimator","level":4,"score":0.6900538802146912},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.6739859580993652},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6650456786155701},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5980219841003418},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5701649188995361},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.5199497938156128},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4853038191795349},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4832230508327484},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44943559169769287},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.42669111490249634},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4190026521682739},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3248789310455322},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.323067843914032},{"id":"https://openalex.org/C165646398","wikidata":"https://www.wikidata.org/wiki/Q3755281","display_name":"Minimum-variance unbiased estimator","level":3,"score":0.22840666770935059},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1670982837677002},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07210254669189453},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06021997332572937},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit54713.2023.10206511","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/isit54713.2023.10206511","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W846986113","https://openalex.org/W1524622012","https://openalex.org/W1555033159","https://openalex.org/W1854990296","https://openalex.org/W1983383403","https://openalex.org/W2004060143","https://openalex.org/W2063178190","https://openalex.org/W2809757035","https://openalex.org/W2912099989","https://openalex.org/W2972329136","https://openalex.org/W3044798043","https://openalex.org/W3101975788","https://openalex.org/W3155829864","https://openalex.org/W3181906970","https://openalex.org/W4229059581","https://openalex.org/W4256155303","https://openalex.org/W4388555699","https://openalex.org/W6810681822","https://openalex.org/W6858086423"],"related_works":["https://openalex.org/W3174947331","https://openalex.org/W2963760573","https://openalex.org/W237619808","https://openalex.org/W2104713681","https://openalex.org/W2895916002","https://openalex.org/W2045096965","https://openalex.org/W35332197","https://openalex.org/W2072918764","https://openalex.org/W2051240917","https://openalex.org/W2123425700"],"abstract_inverted_index":{"This":[0],"paper":[1],"develops":[2],"a":[3,22,37,84,90,139],"unified":[4],"framework":[5],"for":[6,33,122],"upper":[7,142],"bounding":[8],"the":[9,28,31,42,45,60,64,71,81,87,96,101,118,123,128,133,150],"minimax":[10,120,141],"risk":[11],"in":[12,63,75,86],"high-dimensional":[13],"parameter":[14],"estimation":[15],"problems.":[16],"To":[17],"this":[18,49],"end,":[19],"we":[20,137],"study":[21],"quantized":[23],"maximum":[24],"likelihood":[25,32],"estimator,":[26],"where":[27],"estimator":[29],"computes":[30],"all":[34],"points":[35],"within":[36],"discrete":[38],"cover,":[39],"and":[40,69,113,127],"outputs":[41],"candidate":[43,85,91],"with":[44],"maximal":[46],"likelihood.":[47],"While":[48],"concept":[50],"is":[51,55,93],"straightforward,":[52],"our":[53,104],"analysis":[54],"quite":[56],"delicate.":[57],"It":[58],"splits":[59],"competing":[61],"candidates":[62,74],"cover":[65],"to":[66,95,109],"small":[67],"shells,":[68],"controls":[70],"number":[72],"of":[73,103,152],"each":[76],"shell,":[77],"as":[78,80],"well":[79],"probability":[82],"that":[83,115],"shell":[88],"outscores":[89],"which":[92,144],"close":[94],"true":[97],"parameter.":[98],"We":[99],"demonstrate":[100],"utility":[102],"bounds":[105],"by":[106],"applying":[107],"them":[108],"different":[110],"Gaussian":[111,124],"problems,":[112],"showing":[114],"they":[116],"recover":[117],"optimal":[119],"rate":[121],"location":[125],"model":[126],"spiked":[129],"Wigner":[130],"Model.":[131],"For":[132],"multi-reference":[134],"alignment":[135],"problem":[136],"obtain":[138],"novel":[140],"bound,":[143],"essentially":[145],"places":[146],"no":[147],"assumptions":[148],"on":[149],"signal":[151],"interest.":[153]},"counts_by_year":[],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}
