{"id":"https://openalex.org/W2799067037","doi":"https://doi.org/10.1109/acssc.2017.8335434","title":"Analytical performance analysis of the Semi-Algebraic framework for approximate CP decompositions via SImultaneous matrix diagonalizations (SECSI)","display_name":"Analytical performance analysis of the Semi-Algebraic framework for approximate CP decompositions via SImultaneous matrix diagonalizations (SECSI)","publication_year":2017,"publication_date":"2017-10-01","ids":{"openalex":"https://openalex.org/W2799067037","doi":"https://doi.org/10.1109/acssc.2017.8335434","mag":"2799067037"},"language":"en","primary_location":{"id":"doi:10.1109/acssc.2017.8335434","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2017.8335434","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 51st Asilomar Conference on Signals, Systems, and Computers","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/A5036604968","display_name":"Sher Ali Cheema","orcid":"https://orcid.org/0000-0002-5467-1761"},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Sher Ali Cheema","raw_affiliation_strings":["Communications Research Laboratory, Ilmenau University of Technology, Germany"],"affiliations":[{"raw_affiliation_string":"Communications Research Laboratory, Ilmenau University of Technology, Germany","institution_ids":["https://openalex.org/I119449181"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023739887","display_name":"Emilio Rafael Balda","orcid":"https://orcid.org/0000-0002-9848-698X"},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Emilio Rafael Balda","raw_affiliation_strings":["Communications Research Laboratory, Ilmenau University of Technology, Germany"],"affiliations":[{"raw_affiliation_string":"Communications Research Laboratory, Ilmenau University of Technology, Germany","institution_ids":["https://openalex.org/I119449181"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081331925","display_name":"Amir Weiss","orcid":"https://orcid.org/0000-0002-3104-6939"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Amir Weiss","raw_affiliation_strings":["School of Electrical Engineering, Tel-Aviv University, Israel"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Tel-Aviv University, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011311476","display_name":"Arie Yeredor","orcid":"https://orcid.org/0000-0003-4296-6850"},"institutions":[{"id":"https://openalex.org/I4210153002","display_name":"American Friends of Tel Aviv University","ror":"https://ror.org/04dq3vj35","country_code":"US","type":"education","lineage":["https://openalex.org/I4210153002"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arie Yeredor","raw_affiliation_strings":["Tel Aviv University, Tel Aviv, IL"],"affiliations":[{"raw_affiliation_string":"Tel Aviv University, Tel Aviv, IL","institution_ids":["https://openalex.org/I4210153002"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004533757","display_name":"Martin Haardt","orcid":"https://orcid.org/0000-0001-7810-975X"},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Haardt","raw_affiliation_strings":["Communications Research Laboratory, Ilmenau University of Technology, Germany"],"affiliations":[{"raw_affiliation_string":"Communications Research Laboratory, Ilmenau University of Technology, Germany","institution_ids":["https://openalex.org/I119449181"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5036604968"],"corresponding_institution_ids":["https://openalex.org/I119449181"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17038217,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"703","last_page":"707"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9993000030517578,"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":0.9993000030517578,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.978600025177002,"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9713000059127808,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.6507594585418701},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5811032056808472},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5665886402130127},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5479044318199158},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5292973518371582},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.515824019908905},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4754973351955414},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.46150925755500793},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4576616883277893},{"id":"https://openalex.org/keywords/algebraic-expression","display_name":"Algebraic expression","score":0.4315912127494812},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4081016778945923},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.293928325176239},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14728739857673645},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14275896549224854},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06871658563613892}],"concepts":[{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.6507594585418701},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5811032056808472},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5665886402130127},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5479044318199158},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5292973518371582},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.515824019908905},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4754973351955414},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.46150925755500793},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4576616883277893},{"id":"https://openalex.org/C18912844","wikidata":"https://www.wikidata.org/wiki/Q4724001","display_name":"Algebraic expression","level":3,"score":0.4315912127494812},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4081016778945923},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.293928325176239},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14728739857673645},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14275896549224854},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06871658563613892},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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},{"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/acssc.2017.8335434","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2017.8335434","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 51st Asilomar Conference on Signals, Systems, and Computers","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":16,"referenced_works":["https://openalex.org/W1579124594","https://openalex.org/W1755563775","https://openalex.org/W2000215628","https://openalex.org/W2055838441","https://openalex.org/W2072640712","https://openalex.org/W2113465706","https://openalex.org/W2119412403","https://openalex.org/W2121739212","https://openalex.org/W2132753939","https://openalex.org/W2469230926","https://openalex.org/W2539982008","https://openalex.org/W2593320233","https://openalex.org/W2703614047","https://openalex.org/W2765522092","https://openalex.org/W6679450156","https://openalex.org/W6745423415"],"related_works":["https://openalex.org/W2029407284","https://openalex.org/W1484338948","https://openalex.org/W2014542312","https://openalex.org/W1993884761","https://openalex.org/W2004580869","https://openalex.org/W2162177141","https://openalex.org/W3143745619","https://openalex.org/W2007176070","https://openalex.org/W2072592863","https://openalex.org/W4390883351"],"abstract_inverted_index":{"The":[0,102,131],"Canonical":[1,33],"Polyadic":[2,34],"(CP)":[3,35],"decomposition":[4,36,75],"of":[5,51,64,71,76,87,97,109,113],"R-way":[6],"arrays":[7],"is":[8,42],"a":[9,60,77,120],"powerful":[10],"tool":[11],"in":[12,107],"multi-dimensional":[13],"signal":[14],"processing.":[15],"There":[16],"exists":[17],"many":[18],"methods":[19],"to":[20],"compute":[21],"the":[22,27,31,49,52,65,69,72,88,98,110,114,126,135,139,143],"CP":[23,53,74],"decomposition.":[24,54],"In":[25,55],"particular,":[26],"Semi-Algebraic":[28],"framework":[29,47,67],"for":[30,48,68,95],"approximate":[32,73],"via":[37],"SImultaneaous":[38],"matrix":[39],"diagonalization":[40],"(SECSI)":[41],"an":[43],"efficient":[44],"and":[45,142],"flexible":[46],"computation":[50,70],"this":[56],"work,":[57],"we":[58],"perform":[59],"first-order":[61],"performance":[62],"analysis":[63],"SECSI":[66],"noise":[78,127],"corrupted":[79],"low-rank":[80],"3-way":[81],"tensor.":[82],"We":[83],"provide":[84],"closed-form":[85,140],"expressions":[86,104,141],"relative":[89],"Mean":[90],"Square":[91],"Factor":[92],"Error":[93],"(rMSFE)":[94],"each":[96],"estimated":[99],"factor":[100],"matrices.":[101],"derived":[103],"are":[105,129],"formulated":[106],"terms":[108],"second-order":[111],"moments":[112],"noise,":[115],"such":[116],"that":[117],"apart":[118],"from":[119],"zero":[121],"mean,":[122],"no":[123],"assumptions":[124],"on":[125],"statistics":[128],"required.":[130],"numerical":[132],"results":[133],"depict":[134],"excellent":[136],"match":[137],"between":[138],"empirical":[144],"results.":[145]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}