{"id":"https://openalex.org/W2098316308","doi":"https://doi.org/10.1109/tsp.2010.2070796","title":"Compressive Sensing on Manifolds Using a Nonparametric Mixture of Factor Analyzers: Algorithm and Performance Bounds","display_name":"Compressive Sensing on Manifolds Using a Nonparametric Mixture of Factor Analyzers: Algorithm and Performance Bounds","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2098316308","doi":"https://doi.org/10.1109/tsp.2010.2070796","mag":"2098316308","pmid":"https://pubmed.ncbi.nlm.nih.gov/23894225"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2010.2070796","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2070796","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","pubmed"],"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/A5036399590","display_name":"Minhua Chen","orcid":"https://orcid.org/0000-0003-0513-1301"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Minhua Chen","raw_affiliation_strings":["Electrical and Computer Engineering Department, Duke University, Durham, NC 27708-0291 USA","Electr. & Comput. Eng. Dept., Duke Univ., Durham, NC, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, Duke University, Durham, NC 27708-0291 USA","institution_ids":[]},{"raw_affiliation_string":"Electr. & Comput. Eng. Dept., Duke Univ., Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100450941","display_name":"Jorge Silva","orcid":"https://orcid.org/0000-0001-9959-4272"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jorge Silva","raw_affiliation_strings":["Electrical and Computer Engineering Department, Duke University, Durham, NC, USA","Electr. & Comput. Eng. Dept., Duke Univ., Durham, NC, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Electr. & Comput. Eng. Dept., Duke Univ., Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110662445","display_name":"John Paisley","orcid":null},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Paisley","raw_affiliation_strings":["Electrical and Computer Engineering Department, Duke University, Durham, NC, USA","Electr. & Comput. Eng. Dept., Duke Univ., Durham, NC, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Electr. & Comput. Eng. Dept., Duke Univ., Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101662066","display_name":"Chunping Wang","orcid":"https://orcid.org/0000-0003-1156-4373"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chunping Wang","raw_affiliation_strings":["Electrical and Computer Engineering Department, Duke University, Durham, NC, USA","Electr. & Comput. Eng. Dept., Duke Univ., Durham, NC, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Electr. & Comput. Eng. Dept., Duke Univ., Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025259642","display_name":"David Dunson","orcid":null},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Dunson","raw_affiliation_strings":["Statistics Department, Duke University, Durham, NC, USA","Stat. Dept., Duke Univ., Durham, NC, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Statistics Department, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Stat. Dept., Duke Univ., Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016448581","display_name":"Lawrence Carin","orcid":"https://orcid.org/0000-0001-6277-7948"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lawrence Carin","raw_affiliation_strings":["Electrical and Computer Engineering Department, Duke University, Durham, NC, USA","Electr. & Comput. Eng. Dept., Duke Univ., Durham, NC, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Electr. & Comput. Eng. Dept., Duke Univ., Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5036399590"],"corresponding_institution_ids":["https://openalex.org/I170897317"],"apc_list":null,"apc_paid":null,"fwci":20.9891,"has_fulltext":false,"cited_by_count":191,"citation_normalized_percentile":{"value":0.99676599,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"58","issue":"12","first_page":"6140","last_page":"6155"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9991000294685364,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9815000295639038,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9797000288963318,"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/algorithm","display_name":"Algorithm","score":0.5997786521911621},{"id":"https://openalex.org/keywords/nonparametric-statistics","display_name":"Nonparametric statistics","score":0.5829432010650635},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.560861349105835},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5246434807777405},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3920572102069855},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1560855209827423}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5997786521911621},{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.5829432010650635},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.560861349105835},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5246434807777405},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3920572102069855},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1560855209827423}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tsp.2010.2070796","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2070796","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":"pmid:23894225","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/23894225","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on signal processing : a publication of the IEEE Signal Processing Society","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.160.1073","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.160.1073","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ece.duke.edu/~lcarin/MFA10.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.674.7445","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.674.7445","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.columbia.edu/%7Ejwp2128/Papers/ChenSilvaPaisleyetal2010.pdf","raw_type":"text"},{"id":"pmh:oai:europepmc.org:2714344","is_oa":false,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/3721352","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W8251247","https://openalex.org/W1517266559","https://openalex.org/W1648445109","https://openalex.org/W1662191912","https://openalex.org/W1771150291","https://openalex.org/W1967687583","https://openalex.org/W1986736933","https://openalex.org/W2001141328","https://openalex.org/W2030449718","https://openalex.org/W2035756456","https://openalex.org/W2049502219","https://openalex.org/W2055064119","https://openalex.org/W2069429561","https://openalex.org/W2072169887","https://openalex.org/W2087101057","https://openalex.org/W2100247253","https://openalex.org/W2101998432","https://openalex.org/W2105877514","https://openalex.org/W2111842831","https://openalex.org/W2112148214","https://openalex.org/W2116148865","https://openalex.org/W2116843551","https://openalex.org/W2117111086","https://openalex.org/W2119667497","https://openalex.org/W2126444227","https://openalex.org/W2127498532","https://openalex.org/W2135780853","https://openalex.org/W2146610201","https://openalex.org/W2151454335","https://openalex.org/W2157878484","https://openalex.org/W2159268085","https://openalex.org/W2162021827","https://openalex.org/W2162383537","https://openalex.org/W2184269872","https://openalex.org/W3125735862","https://openalex.org/W4285719527","https://openalex.org/W6631033597","https://openalex.org/W6676938131","https://openalex.org/W6682350343"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2158224665","https://openalex.org/W2007980826","https://openalex.org/W4243114048","https://openalex.org/W2051487156","https://openalex.org/W2379589510","https://openalex.org/W2061531152","https://openalex.org/W2529605301"],"abstract_inverted_index":{"Nonparametric":[0],"Bayesian":[1],"methods":[2],"are":[3,21,29,51],"employed":[4],"to":[5,31],"constitute":[6],"a":[7,34],"mixture":[8,46],"of":[9,22,37,45,91],"low-rank":[10],"Gaussians,":[11],"for":[12,63,67,96],"data":[13],"x":[14],"\u2208":[15],"R":[16,38],"<sup":[17,39],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[18,26,40],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">N</sup>":[19,41],"that":[20],"high":[23],"dimension":[24],"<i":[25],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">N</i>":[27],"but":[28],"constrained":[30],"reside":[32],"in":[33],"low-dimensional":[35],"subregion":[36],".":[42],"The":[43,57,79,107],"number":[44,90],"components":[47],"and":[48,66,115],"their":[49],"rank":[50],"inferred":[52],"automatically":[53],"from":[54,70],"the":[55,88],"data.":[56],"resulting":[58],"algorithm":[59],"can":[60],"be":[61],"used":[62],"learning":[64],"manifolds":[65],"reconstructing":[68],"signals":[69],"manifolds,":[71],"based":[72,99],"on":[73,100,104,112],"compressive":[74],"sensing":[75],"(CS)":[76],"projection":[77],"measurements.":[78],"statistical":[80],"CS":[81,92],"inversion":[82],"is":[83,110],"performed":[84],"analytically.":[85],"We":[86],"derive":[87],"required":[89],"random":[93],"measurements":[94],"needed":[95],"successful":[97],"reconstruction,":[98],"easily-computed":[101],"quantities,":[102],"drawing":[103],"block-sparsity":[105],"properties.":[106],"proposed":[108],"methodology":[109],"validated":[111],"several":[113],"synthetic":[114],"real":[116],"datasets.":[117]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":14},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":19},{"year":2015,"cited_by_count":25},{"year":2014,"cited_by_count":18},{"year":2013,"cited_by_count":26},{"year":2012,"cited_by_count":17}],"updated_date":"2026-05-16T08:24:45.110214","created_date":"2025-10-10T00:00:00"}