{"id":"https://openalex.org/W3194520803","doi":"https://doi.org/10.1109/ssp49050.2021.9513808","title":"Probabilistic Tensor Train Decomposition with Automatic Rank Determination from Noisy Data","display_name":"Probabilistic Tensor Train Decomposition with Automatic Rank Determination from Noisy Data","publication_year":2021,"publication_date":"2021-07-11","ids":{"openalex":"https://openalex.org/W3194520803","doi":"https://doi.org/10.1109/ssp49050.2021.9513808","mag":"3194520803"},"language":"en","primary_location":{"id":"doi:10.1109/ssp49050.2021.9513808","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssp49050.2021.9513808","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE Statistical Signal Processing Workshop (SSP)","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/A5081083724","display_name":"Le Xu","orcid":"https://orcid.org/0000-0002-6704-0889"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Le Xu","raw_affiliation_strings":["The University of Hong Kong,Department of Electrical and Electronic Engineering,Hong Kong"],"affiliations":[{"raw_affiliation_string":"The University of Hong Kong,Department of Electrical and Electronic Engineering,Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100625462","display_name":"Lei Cheng","orcid":"https://orcid.org/0000-0002-0097-0547"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Cheng","raw_affiliation_strings":["Zhejiang University,ISEE College,China","ISEE College, Zhejiang University, China"],"affiliations":[{"raw_affiliation_string":"Zhejiang University,ISEE College,China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"ISEE College, Zhejiang University, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072120057","display_name":"Ngai Wong","orcid":"https://orcid.org/0000-0002-3026-0108"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Ngai Wong","raw_affiliation_strings":["The University of Hong Kong,Department of Electrical and Electronic Engineering,Hong Kong"],"affiliations":[{"raw_affiliation_string":"The University of Hong Kong,Department of Electrical and Electronic Engineering,Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085964667","display_name":"Yik\u2010Chung Wu","orcid":"https://orcid.org/0000-0002-2738-0387"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Yik-Chung Wu","raw_affiliation_strings":["The University of Hong Kong,Department of Electrical and Electronic Engineering,Hong Kong"],"affiliations":[{"raw_affiliation_string":"The University of Hong Kong,Department of Electrical and Electronic Engineering,Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5081083724"],"corresponding_institution_ids":["https://openalex.org/I889458895"],"apc_list":null,"apc_paid":null,"fwci":0.8048,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.68198307,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"14","issue":null,"first_page":"461","last_page":"465"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":1.0,"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":1.0,"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9672999978065491,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T13650","display_name":"Computational Physics and Python Applications","score":0.9096999764442444,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7354357242584229},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.7094590663909912},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5753470659255981},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5593443512916565},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5315401554107666},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5236523151397705},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5109276175498962},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5107417106628418},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.4828527569770813},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.4738365113735199},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46075043082237244},{"id":"https://openalex.org/keywords/ground-truth","display_name":"Ground truth","score":0.43868163228034973},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.43165791034698486},{"id":"https://openalex.org/keywords/tensor-decomposition","display_name":"Tensor decomposition","score":0.4216023087501526},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4130237102508545},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1632196009159088}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7354357242584229},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.7094590663909912},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5753470659255981},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5593443512916565},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5315401554107666},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5236523151397705},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5109276175498962},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5107417106628418},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.4828527569770813},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.4738365113735199},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46075043082237244},{"id":"https://openalex.org/C146849305","wikidata":"https://www.wikidata.org/wiki/Q370766","display_name":"Ground truth","level":2,"score":0.43868163228034973},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.43165791034698486},{"id":"https://openalex.org/C2986737658","wikidata":"https://www.wikidata.org/wiki/Q30103009","display_name":"Tensor decomposition","level":3,"score":0.4216023087501526},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4130237102508545},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1632196009159088},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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},{"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ssp49050.2021.9513808","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssp49050.2021.9513808","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE Statistical Signal Processing Workshop (SSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W69540849","https://openalex.org/W1503398984","https://openalex.org/W1601795611","https://openalex.org/W1798945469","https://openalex.org/W1881945180","https://openalex.org/W1993482030","https://openalex.org/W2031216664","https://openalex.org/W2088522763","https://openalex.org/W2121739212","https://openalex.org/W2147512299","https://openalex.org/W2412278696","https://openalex.org/W2515303911","https://openalex.org/W2525014240","https://openalex.org/W2744223068","https://openalex.org/W2774254162","https://openalex.org/W2962881496","https://openalex.org/W2962998068","https://openalex.org/W2970406288","https://openalex.org/W2978272478","https://openalex.org/W2986145981","https://openalex.org/W3009014396","https://openalex.org/W3124414826","https://openalex.org/W4297800698","https://openalex.org/W6602850020","https://openalex.org/W6638060716","https://openalex.org/W6639378727","https://openalex.org/W6689021873","https://openalex.org/W6727709070","https://openalex.org/W6742193618"],"related_works":["https://openalex.org/W4379256054","https://openalex.org/W2093953080","https://openalex.org/W2911706637","https://openalex.org/W47805180","https://openalex.org/W2963838862","https://openalex.org/W3015641590","https://openalex.org/W3216281372","https://openalex.org/W3213449325","https://openalex.org/W2987657992","https://openalex.org/W2949531434"],"abstract_inverted_index":{"Tensor":[0],"train":[1],"(TT)":[2],"decomposition,":[3],"a":[4,51],"powerful":[5],"tool":[6],"for":[7],"analyzing":[8],"multidimensional":[9],"data,":[10],"exhibits":[11],"superior":[12],"performance":[13],"in":[14,96],"many":[15],"signal":[16],"processing":[17],"and":[18,45,94],"machine":[19],"learning":[20,73],"tasks.":[21],"However,":[22],"existing":[23],"TT":[24,34,56,100],"decomposition":[25,57],"methods":[26],"either":[27],"require":[28],"the":[29,32,40,67,78,88,91,98],"knowledge":[30],"of":[31,39,55,90],"true":[33],"ranks,":[35],"or":[36],"extensive":[37],"fine-tuning":[38],"balance":[41],"between":[42],"model":[43,93],"complexity":[44],"representation":[46],"accuracy.":[47],"In":[48],"this":[49],"paper,":[50],"fully":[52],"Bayesian":[53],"treatment":[54],"is":[58,75],"employed":[59],"to":[60],"enable":[61],"automatic":[62],"rank":[63],"determination.":[64],"Based":[65],"on":[66,84],"proposed":[68,92],"probabilistic":[69],"model,":[70],"an":[71],"efficient":[72],"algorithm":[74,95],"derived":[76],"under":[77],"variational":[79],"inference":[80],"framework.":[81],"Simulation":[82],"results":[83],"synthetic":[85],"data":[86],"show":[87],"success":[89],"recovering":[97],"ground-truth":[99],"structure":[101],"from":[102],"noisy":[103],"data.":[104]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}