{"id":"https://openalex.org/W2963919940","doi":"https://doi.org/10.1109/tit.2016.2633413","title":"Sensing Tensors With Gaussian Filters","display_name":"Sensing Tensors With Gaussian Filters","publication_year":2016,"publication_date":"2016-12-02","ids":{"openalex":"https://openalex.org/W2963919940","doi":"https://doi.org/10.1109/tit.2016.2633413","mag":"2963919940"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2016.2633413","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2633413","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-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/A5059835438","display_name":"St\u00e9phane Chr\u00e9tien","orcid":"https://orcid.org/0000-0002-4544-1315"},"institutions":[{"id":"https://openalex.org/I134421475","display_name":"National Physical Laboratory","ror":"https://ror.org/015w2mp89","country_code":"GB","type":"facility","lineage":["https://openalex.org/I134421475"]},{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]},{"id":"https://openalex.org/I90843659","display_name":"Universit\u00e9 de franche-comt\u00e9","ror":"https://ror.org/03pcc9z86","country_code":"FR","type":"education","lineage":["https://openalex.org/I90843659"]}],"countries":["FR","GB"],"is_corresponding":true,"raw_author_name":"Stephane Chretien","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques de Besan\u00e7on, Universit\u00e9 de Franche-Comt\u00e9, Besan\u00e7on, France","National Physical Laboratory, Teddington, Middlesex Hampton Road, U.K"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques de Besan\u00e7on, Universit\u00e9 de Franche-Comt\u00e9, Besan\u00e7on, France","institution_ids":["https://openalex.org/I90843659","https://openalex.org/I4210155549"]},{"raw_affiliation_string":"National Physical Laboratory, Teddington, Middlesex Hampton Road, U.K","institution_ids":["https://openalex.org/I134421475"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059823838","display_name":"Tianwen Wei","orcid":"https://orcid.org/0000-0001-7488-5727"},"institutions":[{"id":"https://openalex.org/I158934434","display_name":"Zhongnan University of Economics and Law","ror":"https://ror.org/04yqxxq63","country_code":"CN","type":"education","lineage":["https://openalex.org/I158934434"]},{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]},{"id":"https://openalex.org/I90843659","display_name":"Universit\u00e9 de franche-comt\u00e9","ror":"https://ror.org/03pcc9z86","country_code":"FR","type":"education","lineage":["https://openalex.org/I90843659"]}],"countries":["CN","FR"],"is_corresponding":false,"raw_author_name":"Tianwen Wei","raw_affiliation_strings":["Department of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, China","Laboratoire de Math\u00e9matiques de Besan\u00e7on, Universit\u00e9 de Franche-Comt\u00e9, Besan\u00e7on, France"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, China","institution_ids":["https://openalex.org/I158934434"]},{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques de Besan\u00e7on, Universit\u00e9 de Franche-Comt\u00e9, Besan\u00e7on, France","institution_ids":["https://openalex.org/I90843659","https://openalex.org/I4210155549"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059835438"],"corresponding_institution_ids":["https://openalex.org/I134421475","https://openalex.org/I4210155549","https://openalex.org/I90843659"],"apc_list":null,"apc_paid":null,"fwci":1.0271,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.73626374,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"63","issue":"2","first_page":"843","last_page":"852"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T12303","display_name":"Tensor decomposition and applications","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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":0.9988999962806702,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9864000082015991,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.47250068187713623},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45910313725471497},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.4288301169872284},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3967089056968689},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3321259021759033},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2323746383190155}],"concepts":[{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.47250068187713623},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45910313725471497},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.4288301169872284},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3967089056968689},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3321259021759033},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2323746383190155},{"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/tit.2016.2633413","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2633413","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7200000286102295,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W50417968","https://openalex.org/W143004564","https://openalex.org/W340244495","https://openalex.org/W756991363","https://openalex.org/W1521672915","https://openalex.org/W1522074980","https://openalex.org/W1546851689","https://openalex.org/W1599545414","https://openalex.org/W1684009677","https://openalex.org/W1765998458","https://openalex.org/W1798945469","https://openalex.org/W1885765327","https://openalex.org/W1995406764","https://openalex.org/W2007449884","https://openalex.org/W2016699903","https://openalex.org/W2024165284","https://openalex.org/W2025223969","https://openalex.org/W2038920431","https://openalex.org/W2049973790","https://openalex.org/W2055796721","https://openalex.org/W2070432635","https://openalex.org/W2078677240","https://openalex.org/W2091449379","https://openalex.org/W2102892751","https://openalex.org/W2104050041","https://openalex.org/W2105724942","https://openalex.org/W2106904876","https://openalex.org/W2115755118","https://openalex.org/W2119122547","https://openalex.org/W2136559714","https://openalex.org/W2142261996","https://openalex.org/W2145096794","https://openalex.org/W2162451874","https://openalex.org/W2165186963","https://openalex.org/W2196956961","https://openalex.org/W2296616510","https://openalex.org/W2515278700","https://openalex.org/W2740905535","https://openalex.org/W2896218073","https://openalex.org/W2963980562","https://openalex.org/W3099453716","https://openalex.org/W4250332546","https://openalex.org/W4250955649","https://openalex.org/W4285719527","https://openalex.org/W4297907618","https://openalex.org/W4300181209","https://openalex.org/W4300263211","https://openalex.org/W6631323259","https://openalex.org/W6638060716","https://openalex.org/W6675778394","https://openalex.org/W6676039487","https://openalex.org/W6677598287","https://openalex.org/W6726283480"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1970319972","https://openalex.org/W2953254336"],"abstract_inverted_index":{"Sparse":[0],"recovery":[1,68],"from":[2],"linear":[3],"Gaussian":[4,49,88],"measurements":[5],"has":[6],"been":[7],"the":[8,14,55,105,115,119,123],"subject":[9],"of":[10,57,61,108],"much":[11],"investigation":[12],"since":[13],"breakthrough":[15],"papers":[16],"Cand\u00e8s":[17],"et":[18],"al.":[19],"and":[20,29,54,91],"Donoho":[21],"on":[22],"compressed":[23],"sensing.":[24],"Application":[25],"to":[26,45,64,71,76,81,95],"sparse":[27,30],"vectors":[28],"matrices":[31],"via":[32],"least":[33],"squares":[34],"penalized":[35],"with":[36,118],"sparsity":[37],"promoting":[38],"norms":[39],"is":[40,69],"now":[41],"well":[42],"understood":[43],"thanks":[44],"tools,":[46],"such":[47],"as":[48],"mean":[50],"width,":[51],"statistical":[52],"dimension,":[53],"notion":[56],"descent":[58],"cones.":[59],"Extension":[60],"these":[62],"ideas":[63],"low":[65],"rank":[66],"tensor":[67,116],"starting":[70],"enjoy":[72],"considerable":[73],"interest":[74],"due":[75],"its":[77],"many":[78],"potential":[79],"applications":[80],"independent":[82],"component":[83],"analysis,":[84,94],"hidden":[85],"Markov":[86],"models,":[87,90],"mixture":[89],"hyperspectral":[92],"image":[93],"name":[96],"a":[97],"few.":[98],"In":[99],"this":[100],"paper,":[101],"we":[102],"demonstrate":[103],"that":[104],"recent":[106],"approach":[107],"Vershynin":[109],"provides":[110],"useful":[111],"error":[112],"bounds":[113],"in":[114],"setting":[117],"nuclear":[120],"norm":[121],"or":[122],"Romera-Paredes-Pontil":[124],"penalization.":[125]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2}],"updated_date":"2026-02-27T16:54:17.756197","created_date":"2025-10-10T00:00:00"}
