{"id":"https://openalex.org/W4210464896","doi":"https://doi.org/10.1109/cdc45484.2021.9683584","title":"Robust Estimation of Sliced-Exponential Distributions<sup>\u22c6</sup>","display_name":"Robust Estimation of Sliced-Exponential Distributions<sup>\u22c6</sup>","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W4210464896","doi":"https://doi.org/10.1109/cdc45484.2021.9683584"},"language":"en","primary_location":{"id":"doi:10.1109/cdc45484.2021.9683584","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683584","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"2021 60th IEEE Conference on Decision and Control (CDC)","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/A5112043830","display_name":"Luis G. Crespo","orcid":null},"institutions":[{"id":"https://openalex.org/I1319063186","display_name":"Langley Research Center","ror":"https://ror.org/0399mhs52","country_code":"US","type":"facility","lineage":["https://openalex.org/I1319063186","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Luis G. Crespo","raw_affiliation_strings":["NASA Langley Research Center,Hampton,VA,USA,23681"],"affiliations":[{"raw_affiliation_string":"NASA Langley Research Center,Hampton,VA,USA,23681","institution_ids":["https://openalex.org/I1319063186"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025576040","display_name":"Brendon K. Colbert","orcid":"https://orcid.org/0000-0003-1580-555X"},"institutions":[{"id":"https://openalex.org/I1319063186","display_name":"Langley Research Center","ror":"https://ror.org/0399mhs52","country_code":"US","type":"facility","lineage":["https://openalex.org/I1319063186","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brendon K. Colbert","raw_affiliation_strings":["NASA Langley Research Center,Hampton,VA,USA,23681"],"affiliations":[{"raw_affiliation_string":"NASA Langley Research Center,Hampton,VA,USA,23681","institution_ids":["https://openalex.org/I1319063186"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069837674","display_name":"Tanner Slager","orcid":null},"institutions":[{"id":"https://openalex.org/I1319063186","display_name":"Langley Research Center","ror":"https://ror.org/0399mhs52","country_code":"US","type":"facility","lineage":["https://openalex.org/I1319063186","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tanner Slager","raw_affiliation_strings":["NASA Langley Research Center,Hampton,VA,USA,23681"],"affiliations":[{"raw_affiliation_string":"NASA Langley Research Center,Hampton,VA,USA,23681","institution_ids":["https://openalex.org/I1319063186"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104359919","display_name":"Sean P. Kenny","orcid":null},"institutions":[{"id":"https://openalex.org/I1319063186","display_name":"Langley Research Center","ror":"https://ror.org/0399mhs52","country_code":"US","type":"facility","lineage":["https://openalex.org/I1319063186","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sean P. Kenny","raw_affiliation_strings":["NASA Langley Research Center,Hampton,VA,USA,23681"],"affiliations":[{"raw_affiliation_string":"NASA Langley Research Center,Hampton,VA,USA,23681","institution_ids":["https://openalex.org/I1319063186"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5112043830"],"corresponding_institution_ids":["https://openalex.org/I1319063186"],"apc_list":null,"apc_paid":null,"fwci":1.793,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.8587963,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"28","issue":null,"first_page":"6742","last_page":"6748"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9940000176429749,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9918000102043152,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6388770341873169},{"id":"https://openalex.org/keywords/normalization","display_name":"Normalization (sociology)","score":0.6156611442565918},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5080028176307678},{"id":"https://openalex.org/keywords/feature-vector","display_name":"Feature vector","score":0.4945656955242157},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4798309803009033},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.468654066324234},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4599240720272064},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.45347076654434204},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.428928941488266},{"id":"https://openalex.org/keywords/exponential-family","display_name":"Exponential family","score":0.42874884605407715},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.417524516582489},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.41750967502593994},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4076389670372009},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3207138776779175},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.2669387459754944},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.24847790598869324},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.24080613255500793},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16669461131095886},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15661033987998962},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13106271624565125}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6388770341873169},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.6156611442565918},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5080028176307678},{"id":"https://openalex.org/C83665646","wikidata":"https://www.wikidata.org/wiki/Q42139305","display_name":"Feature vector","level":2,"score":0.4945656955242157},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4798309803009033},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.468654066324234},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4599240720272064},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.45347076654434204},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.428928941488266},{"id":"https://openalex.org/C55974624","wikidata":"https://www.wikidata.org/wiki/Q1188504","display_name":"Exponential family","level":2,"score":0.42874884605407715},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.417524516582489},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.41750967502593994},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4076389670372009},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3207138776779175},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.2669387459754944},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.24847790598869324},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24080613255500793},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16669461131095886},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15661033987998962},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13106271624565125},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc45484.2021.9683584","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683584","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.800000011920929}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W561317618","https://openalex.org/W1992105816","https://openalex.org/W2186500120","https://openalex.org/W2760324051","https://openalex.org/W2887699302","https://openalex.org/W2972550732","https://openalex.org/W2982677714","https://openalex.org/W3000376115","https://openalex.org/W3135138876","https://openalex.org/W3152667125","https://openalex.org/W4210465963","https://openalex.org/W6615619314"],"related_works":["https://openalex.org/W3176621072","https://openalex.org/W1545655945","https://openalex.org/W4387560402","https://openalex.org/W2995475466","https://openalex.org/W2356785732","https://openalex.org/W4210430843","https://openalex.org/W4239033281","https://openalex.org/W4380789568","https://openalex.org/W1986558198","https://openalex.org/W6057950"],"abstract_inverted_index":{"Sliced":[0,26],"distributions":[1,27],"enable":[2],"the":[3,29,44,65,73,76,101,112,152,168,185],"characterization":[4],"of":[5,12,48,64,72,94,103,119,126,154,167,193],"multivariate":[6],"data":[7],"as":[8,20,115],"both":[9],"a":[10,21,33,38,51,87,92,124,134],"vector":[11],"continuous":[13],"and":[14,58,201],"possibly":[15],"dependent":[16],"random":[17],"variables,":[18],"or":[19],"semi-algebraic,":[22],"tightly":[23],"enclosing":[24],"set.":[25],"inject":[28],"physical":[30],"space":[31,36,153],"into":[32],"higher-dimensional":[34],"feature":[35,104],"using":[37],"polynomial":[39,54],"mapping.":[40],"This":[41,106,175],"paper":[42,176],"introduces":[43],"Sliced-Exponential":[45],"(SE)":[46],"subclass":[47],"distributions,":[49],"proposes":[50],"suitable":[52],"data-based":[53],"basis":[55],"for":[56],"it,":[57],"compares":[59],"its":[60],"performance":[61],"against":[62],"that":[63,79,97,129,179],"Sliced-Normal":[66],"(SN)":[67],"subclass.":[68],"The":[69],"key":[70],"advantage":[71],"SEs":[74,142],"over":[75],"SNs":[77,113],"is":[78,107],"their":[80,138],"maximum":[81],"likelihood":[82],"estimate":[83],"results":[84],"from":[85],"solving":[86],"convex":[88],"optimization":[89],"program":[90],"in":[91,108],"number":[93,125],"decision":[95,127,186],"variables":[96,128],"grows":[98],"linearly":[99],"with":[100,132,163],"dimension":[102,135,195],"space.":[105,187],"sharp":[109],"contrast":[110],"to":[111,151,197,202],"which,":[114],"all":[116],"other":[117],"Sum":[118],"Squares":[120],"(SOS)":[121],"methods,":[122],"have":[123,143],"increases":[130],"exponentially":[131],"such":[133],"thereby":[136],"limiting":[137],"applicability.":[139],"In":[140],"addition,":[141],"greater":[144],"versatility":[145,160],"since":[146],"they":[147],"are":[148],"not":[149],"restricted":[150],"SOS":[155],"polynomials.":[156],"However,":[157],"this":[158],"enhanced":[159],"when":[161],"coupled":[162],"an":[164],"inaccurate":[165],"estimation":[166],"normalization":[169],"constant":[170],"might":[171],"yield":[172],"spurious":[173],"distributions.":[174],"presents":[177],"strategies":[178],"mitigate":[180],"these":[181],"anomalies":[182],"by":[183],"restricting":[184],"Furthermore,":[188],"we":[189],"use":[190],"numerical":[191],"experiments":[192],"increasing":[194],"size":[196],"determine":[198],"practical":[199],"limitations,":[200],"set":[203],"good":[204],"practice":[205],"guidelines.":[206]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
