{"id":"https://openalex.org/W1996763441","doi":"https://doi.org/10.1109/tsp.2012.2222393","title":"A Geometrical Interpretation of Exponentially Embedded Families of Gaussian Probability Density Functions for Model Selection","display_name":"A Geometrical Interpretation of Exponentially Embedded Families of Gaussian Probability Density Functions for Model Selection","publication_year":2012,"publication_date":"2012-10-04","ids":{"openalex":"https://openalex.org/W1996763441","doi":"https://doi.org/10.1109/tsp.2012.2222393","mag":"1996763441"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2012.2222393","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2012.2222393","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://digitalcommons.uri.edu/ele_facpubs/1284","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031834430","display_name":"Russell Costa","orcid":"https://orcid.org/0000-0002-1152-8906"},"institutions":[{"id":"https://openalex.org/I2799471739","display_name":"Naval Undersea Warfare Center","ror":"https://ror.org/04bnxa153","country_code":"US","type":"funder","lineage":["https://openalex.org/I1328969757","https://openalex.org/I1330347796","https://openalex.org/I2799471739","https://openalex.org/I3130687028"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Russell Costa","raw_affiliation_strings":["Naval Undersea Warfare Center, Newport, RI, USA","Naval Undersea Warfare Center Newport, Newport, RI, USA"],"affiliations":[{"raw_affiliation_string":"Naval Undersea Warfare Center, Newport, RI, USA","institution_ids":["https://openalex.org/I2799471739"]},{"raw_affiliation_string":"Naval Undersea Warfare Center Newport, Newport, RI, USA","institution_ids":["https://openalex.org/I2799471739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019494783","display_name":"Steven Kay","orcid":"https://orcid.org/0000-0002-9267-8040"},"institutions":[{"id":"https://openalex.org/I17626003","display_name":"University of Rhode Island","ror":"https://ror.org/013ckk937","country_code":"US","type":"education","lineage":["https://openalex.org/I17626003"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven Kay","raw_affiliation_strings":["Department of Electrical, Computer, and Biomedical Engineering, University of Rhode Island, Kingston, RI, USA","Dept of Electr., Comput., & Biomed. Eng., Univ. of Rhode Island, Kingston, RI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical, Computer, and Biomedical Engineering, University of Rhode Island, Kingston, RI, USA","institution_ids":["https://openalex.org/I17626003"]},{"raw_affiliation_string":"Dept of Electr., Comput., & Biomed. Eng., Univ. of Rhode Island, Kingston, RI, USA","institution_ids":["https://openalex.org/I17626003"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031834430"],"corresponding_institution_ids":["https://openalex.org/I2799471739"],"apc_list":null,"apc_paid":null,"fwci":0.4459,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.71549909,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"61","issue":"1","first_page":"62","last_page":"67"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9972000122070312,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9972000122070312,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9966999888420105,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.996399998664856,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/model-selection","display_name":"Model selection","score":0.6226134896278381},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6158459782600403},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.552944540977478},{"id":"https://openalex.org/keywords/null-hypothesis","display_name":"Null hypothesis","score":0.5368450284004211},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.5361788868904114},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4849300682544708},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.4750088155269623},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.45719587802886963},{"id":"https://openalex.org/keywords/exponential-family","display_name":"Exponential family","score":0.4468379020690918},{"id":"https://openalex.org/keywords/null","display_name":"Null (SQL)","score":0.4315844178199768},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42423680424690247},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.4161182641983032},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.4107382893562317},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39418503642082214},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37646999955177307},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26126688718795776},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21185216307640076},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.11443275213241577},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07408308982849121}],"concepts":[{"id":"https://openalex.org/C93959086","wikidata":"https://www.wikidata.org/wiki/Q6888345","display_name":"Model selection","level":2,"score":0.6226134896278381},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6158459782600403},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.552944540977478},{"id":"https://openalex.org/C191988596","wikidata":"https://www.wikidata.org/wiki/Q628374","display_name":"Null hypothesis","level":2,"score":0.5368450284004211},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5361788868904114},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4849300682544708},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.4750088155269623},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.45719587802886963},{"id":"https://openalex.org/C55974624","wikidata":"https://www.wikidata.org/wiki/Q1188504","display_name":"Exponential family","level":2,"score":0.4468379020690918},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.4315844178199768},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42423680424690247},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.4161182641983032},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.4107382893562317},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39418503642082214},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37646999955177307},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26126688718795776},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21185216307640076},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.11443275213241577},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07408308982849121},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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":2,"locations":[{"id":"doi:10.1109/tsp.2012.2222393","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2012.2222393","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.uri.edu:ele_facpubs-2283","is_oa":true,"landing_page_url":"https://digitalcommons.uri.edu/ele_facpubs/1284","pdf_url":null,"source":{"id":"https://openalex.org/S2764761010","display_name":"Journal of Media Literacy Education","issn_l":"2167-8715","issn":["2167-8715"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310316378","host_organization_name":"National Association for Media Literacy Education","host_organization_lineage":["https://openalex.org/P4310316378"],"host_organization_lineage_names":["National Association for Media Literacy Education"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electrical, Computer, and Biomedical Engineering Faculty Publications","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:digitalcommons.uri.edu:ele_facpubs-2283","is_oa":true,"landing_page_url":"https://digitalcommons.uri.edu/ele_facpubs/1284","pdf_url":null,"source":{"id":"https://openalex.org/S2764761010","display_name":"Journal of Media Literacy Education","issn_l":"2167-8715","issn":["2167-8715"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310316378","host_organization_name":"National Association for Media Literacy Education","host_organization_lineage":["https://openalex.org/P4310316378"],"host_organization_lineage_names":["National Association for Media Literacy Education"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electrical, Computer, and Biomedical Engineering Faculty Publications","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1573082642","https://openalex.org/W1967573895","https://openalex.org/W2009370981","https://openalex.org/W2028864160","https://openalex.org/W2034767804","https://openalex.org/W2054658115","https://openalex.org/W2080129260","https://openalex.org/W2100686599","https://openalex.org/W2156755023","https://openalex.org/W4300906944","https://openalex.org/W4302564868"],"related_works":["https://openalex.org/W1545655945","https://openalex.org/W4387560402","https://openalex.org/W1986558198","https://openalex.org/W2053822759","https://openalex.org/W2564793057","https://openalex.org/W1996059586","https://openalex.org/W2031139033","https://openalex.org/W1980985571","https://openalex.org/W3097252645","https://openalex.org/W3095760979"],"abstract_inverted_index":{"Model":[0],"selection":[1],"via":[2],"exponentially":[3],"embedded":[4,41],"families":[5],"(EEF)":[6],"of":[7,20,32,55,62,69,84],"probability":[8],"models":[9,86],"has":[10],"been":[11],"shown":[12],"to":[13,66,96],"perform":[14],"well":[15],"on":[16],"many":[17],"practical":[18],"problems":[19],"interest.":[21],"A":[22],"key":[23],"component":[24],"in":[25,72,90,116],"utilizing":[26],"this":[27,48,91,95],"approach":[28,65],"is":[29,40],"the":[30,56,60,63,67,80,98,109,117],"definition":[31],"a":[33,52,73],"model":[34,70],"origin":[35,71,89],"(i.e.":[36],"null":[37,100],"hypothesis)":[38],"which":[39,108],"individually":[42],"within":[43],"each":[44],"competing":[45,85],"model.":[46],"In":[47],"correspondence":[49],"we":[50,103],"give":[51],"geometrical":[53],"interpretation":[54],"EEF":[57,64,110],"and":[58,93],"study":[59],"sensitivity":[61],"choice":[68],"Gaussian":[74,118],"hypothesis":[75,119],"testing":[76,120],"framework.":[77,121],"We":[78],"introduce":[79],"information":[81],"center":[82],"(I-center)":[83],"as":[87],"an":[88],"procedure":[92],"compare":[94],"using":[97,111],"standard":[99],"hypothesis.":[101],"Finally":[102],"derive":[104],"optimality":[105],"conditions":[106],"for":[107],"I-center":[112],"achieves":[113],"optimal":[114],"performance":[115]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}