{"id":"https://openalex.org/W2097526470","doi":"https://doi.org/10.1109/icassp.2012.6288342","title":"Dimension reduction in regression using Gaussian Mixture Models","display_name":"Dimension reduction in regression using Gaussian Mixture Models","publication_year":2012,"publication_date":"2012-03-01","ids":{"openalex":"https://openalex.org/W2097526470","doi":"https://doi.org/10.1109/icassp.2012.6288342","mag":"2097526470"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2012.6288342","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2012.6288342","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","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/A5026205150","display_name":"Majid Mirbagheri","orcid":"https://orcid.org/0000-0002-0045-7508"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Majid Mirbagheri","raw_affiliation_strings":["The Institute for Systems Research, University of Maryland, College Park, USA"],"affiliations":[{"raw_affiliation_string":"The Institute for Systems Research, University of Maryland, College Park, USA","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036374289","display_name":"Yanbo Xu","orcid":"https://orcid.org/0000-0003-4129-7376"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yanbo Xu","raw_affiliation_strings":["The Institute for Systems Research, University of Maryland, College Park, USA"],"affiliations":[{"raw_affiliation_string":"The Institute for Systems Research, University of Maryland, College Park, USA","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057113698","display_name":"Shihab Shamma","orcid":"https://orcid.org/0000-0002-1283-6804"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shihab Shamma","raw_affiliation_strings":["The Institute for Systems Research, Department of Electrical and Computer Engineering, University of Maryland, College Park, USA"],"affiliations":[{"raw_affiliation_string":"The Institute for Systems Research, Department of Electrical and Computer Engineering, University of Maryland, College Park, USA","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026205150"],"corresponding_institution_ids":["https://openalex.org/I66946132"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12297643,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"86","issue":null,"first_page":"2169","last_page":"2172"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9914000034332275,"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":0.9914000034332275,"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/T11236","display_name":"Control Systems and Identification","score":0.9847000241279602,"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"}},{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9714999794960022,"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/mutual-information","display_name":"Mutual information","score":0.7580291628837585},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6793798208236694},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.6428906321525574},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5970041155815125},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5872682929039001},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5677032470703125},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.5082990527153015},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4858064651489258},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.48037654161453247},{"id":"https://openalex.org/keywords/sufficient-dimension-reduction","display_name":"Sufficient dimension reduction","score":0.475410521030426},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.42502039670944214},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41756394505500793},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4156104624271393},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.366031676530838},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.31612223386764526},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1733890175819397},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.14850124716758728}],"concepts":[{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.7580291628837585},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6793798208236694},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.6428906321525574},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5970041155815125},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5872682929039001},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5677032470703125},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.5082990527153015},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4858064651489258},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.48037654161453247},{"id":"https://openalex.org/C27931671","wikidata":"https://www.wikidata.org/wiki/Q7634497","display_name":"Sufficient dimension reduction","level":3,"score":0.475410521030426},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.42502039670944214},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41756394505500793},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4156104624271393},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.366031676530838},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31612223386764526},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1733890175819397},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.14850124716758728},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/icassp.2012.6288342","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2012.6288342","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","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":10,"referenced_works":["https://openalex.org/W1569914580","https://openalex.org/W1918110294","https://openalex.org/W2032407804","https://openalex.org/W2068752849","https://openalex.org/W2081566336","https://openalex.org/W2119290563","https://openalex.org/W2127218985","https://openalex.org/W2163490846","https://openalex.org/W4241872460","https://openalex.org/W6634290906"],"related_works":["https://openalex.org/W1976207164","https://openalex.org/W2811379001","https://openalex.org/W2394840907","https://openalex.org/W2098495410","https://openalex.org/W2975597143","https://openalex.org/W2080981338","https://openalex.org/W2985680200","https://openalex.org/W179183578","https://openalex.org/W2567488862","https://openalex.org/W2747414702"],"abstract_inverted_index":{"Linear-Nonlinear":[0],"regression":[1],"models":[2,25],"play":[3],"a":[4,16,28,31,64,93,105],"fundamental":[5],"role":[6],"in":[7,23,34,74],"characterizing":[8],"nonlinear":[9],"systems.":[10],"In":[11],"this":[12,48,85],"paper,":[13],"we":[14,82,103],"propose":[15],"method":[17,127],"to":[18,27,87],"estimate":[19],"the":[20,35,51,54,58,68,75,122,125],"linear":[21],"transform":[22],"such":[24],"equivalent":[26],"subspace":[29],"of":[30,47,53,67,70,77,92,124],"small":[32],"dimension":[33],"input":[36],"space":[37],"that":[38],"is":[39,50,128],"relevant":[40,89],"for":[41],"eliciting":[42],"response.":[43],"The":[44],"novel":[45],"aspect":[46],"work":[49],"formulation":[52],"mutual":[55,96],"information":[56,97],"between":[57],"transformed":[59],"inputs":[60],"and":[61,81,118],"output":[62],"as":[63],"closed-form":[65],"function":[66],"parameters":[69],"their":[71],"joint":[72],"density":[73],"form":[76],"Gaussian":[78],"Mixture":[79],"Models":[80],"subsequently":[83],"maximize":[84],"measure":[86,98,106],"find":[88],"dimensions.":[90],"Instead":[91],"commonly":[94],"used":[95],"based":[99],"on":[100,114],"Kullback-Leibler":[101],"divergence,":[102],"use":[104],"called":[107],"Quadratic":[108],"Euclidean":[109],"Mutual":[110],"Information.":[111],"Through":[112],"experiments":[113],"both":[115],"synthesized":[116],"data":[117],"real":[119],"MEG":[120],"recordings,":[121],"effectiveness":[123],"proposed":[126],"demonstrated.":[129]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}