{"id":"https://openalex.org/W3002810613","doi":"https://doi.org/10.1109/cisp-bmei48845.2019.8965896","title":"A Jacobi-Like Algorithm for the General Joint Diagonalization Problem with Its Application to Blind Source Separation","display_name":"A Jacobi-Like Algorithm for the General Joint Diagonalization Problem with Its Application to Blind Source Separation","publication_year":2019,"publication_date":"2019-10-01","ids":{"openalex":"https://openalex.org/W3002810613","doi":"https://doi.org/10.1109/cisp-bmei48845.2019.8965896","mag":"3002810613"},"language":"en","primary_location":{"id":"doi:10.1109/cisp-bmei48845.2019.8965896","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cisp-bmei48845.2019.8965896","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 12th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics (CISP-BMEI)","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/A5100739629","display_name":"Wenrui Li","orcid":"https://orcid.org/0000-0003-4479-2639"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wenrui Li","raw_affiliation_strings":["School of Information and Software Engineering, University of Electronic Science and Technology of China, Chengdu, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Information and Software Engineering, University of Electronic Science and Technology of China, Chengdu, P.R. China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010571667","display_name":"Jifei Miao","orcid":"https://orcid.org/0000-0001-5663-8749"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jifei Miao","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, P.R. China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102924620","display_name":"Guanghui Cheng","orcid":"https://orcid.org/0000-0002-7325-8892"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guanghui Cheng","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, P.R. China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100739629"],"corresponding_institution_ids":["https://openalex.org/I150229711"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17399043,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"5","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12303","display_name":"Tensor decomposition and applications","score":0.994700014591217,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9793000221252441,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/blind-signal-separation","display_name":"Blind signal separation","score":0.7965527772903442},{"id":"https://openalex.org/keywords/jacobi-method","display_name":"Jacobi method","score":0.6704399585723877},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5735335350036621},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5614146590232849},{"id":"https://openalex.org/keywords/joint","display_name":"Joint (building)","score":0.5600665807723999},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5014543533325195},{"id":"https://openalex.org/keywords/separation","display_name":"Separation (statistics)","score":0.4901965260505676},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.48599156737327576},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4648847281932831},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4522913992404938},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4491644501686096},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4466429650783539},{"id":"https://openalex.org/keywords/tensor-decomposition","display_name":"Tensor decomposition","score":0.438955694437027},{"id":"https://openalex.org/keywords/jacobi-eigenvalue-algorithm","display_name":"Jacobi eigenvalue algorithm","score":0.4376789331436157},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35128891468048096},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11980777978897095},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08982285857200623}],"concepts":[{"id":"https://openalex.org/C120317606","wikidata":"https://www.wikidata.org/wiki/Q17105967","display_name":"Blind signal separation","level":3,"score":0.7965527772903442},{"id":"https://openalex.org/C67923128","wikidata":"https://www.wikidata.org/wiki/Q1481893","display_name":"Jacobi method","level":2,"score":0.6704399585723877},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5735335350036621},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5614146590232849},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.5600665807723999},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5014543533325195},{"id":"https://openalex.org/C2776061190","wikidata":"https://www.wikidata.org/wiki/Q7451805","display_name":"Separation (statistics)","level":2,"score":0.4901965260505676},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.48599156737327576},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4648847281932831},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4522913992404938},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4491644501686096},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4466429650783539},{"id":"https://openalex.org/C2986737658","wikidata":"https://www.wikidata.org/wiki/Q30103009","display_name":"Tensor decomposition","level":3,"score":0.438955694437027},{"id":"https://openalex.org/C135648419","wikidata":"https://www.wikidata.org/wiki/Q1677726","display_name":"Jacobi eigenvalue algorithm","level":3,"score":0.4376789331436157},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35128891468048096},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11980777978897095},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08982285857200623},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C170154142","wikidata":"https://www.wikidata.org/wiki/Q150737","display_name":"Architectural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cisp-bmei48845.2019.8965896","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cisp-bmei48845.2019.8965896","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 12th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics (CISP-BMEI)","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":15,"referenced_works":["https://openalex.org/W1535432589","https://openalex.org/W1574447377","https://openalex.org/W2016159433","https://openalex.org/W2063399687","https://openalex.org/W2072640712","https://openalex.org/W2074709877","https://openalex.org/W2092257399","https://openalex.org/W2131436045","https://openalex.org/W2142975003","https://openalex.org/W2161566590","https://openalex.org/W2315682511","https://openalex.org/W2365186912","https://openalex.org/W2963948550","https://openalex.org/W4300126215","https://openalex.org/W6681158929"],"related_works":["https://openalex.org/W967419144","https://openalex.org/W2381807195","https://openalex.org/W2031472999","https://openalex.org/W183135790","https://openalex.org/W2381799323","https://openalex.org/W43698987","https://openalex.org/W2165362061","https://openalex.org/W2353044947","https://openalex.org/W3146790254","https://openalex.org/W2052501068"],"abstract_inverted_index":{"The":[0],"general":[1],"problem":[2,14],"of":[3,8,21,34,42,61,81],"the":[4,18,22,35,43,56,78,82],"approximate":[5],"joint":[6,23],"diagonalization":[7],"non-Hermitian":[9],"matrices":[10,38],"is":[11],"considered.":[12],"This":[13],"mainly":[15],"arises":[16],"in":[17,66],"data":[19],"model":[20],"blind":[24],"separation":[25],"for":[26,55],"two":[27,36],"datasets.":[28],"Based":[29],"on":[30],"a":[31,49,62],"special":[32],"parameterization":[33],"diagonalizing":[37],"and":[39,65],"adapted":[40],"approximations":[41],"classical":[44],"cost":[45],"function,":[46],"we":[47],"establish":[48],"Jacobi-like":[50],"algorithm.":[51,84],"It":[52],"may":[53],"serve":[54],"canonical":[57],"polyadic":[58],"decomposition":[59],"(CPD)":[60],"third-order":[63],"tensor,":[64],"some":[67],"scenarios":[68],"they":[69],"can":[70],"outperform":[71],"traditional":[72],"CPD":[73],"methods.":[74],"Simulation":[75],"results":[76],"show":[77],"competitive":[79],"performance":[80],"proposed":[83]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
