{"id":"https://openalex.org/W2738476949","doi":"https://doi.org/10.1109/access.2017.2731860","title":"A Fast Low Rank Hankel Matrix Factorization Reconstruction Method for Non-Uniformly Sampled Magnetic Resonance Spectroscopy","display_name":"A Fast Low Rank Hankel Matrix Factorization Reconstruction Method for Non-Uniformly Sampled Magnetic Resonance Spectroscopy","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2738476949","doi":"https://doi.org/10.1109/access.2017.2731860","mag":"2738476949"},"language":"en","primary_location":{"id":"doi:10.1109/access.2017.2731860","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2017.2731860","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2017.2731860","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063573457","display_name":"Di Guo","orcid":"https://orcid.org/0000-0002-9910-5720"},"institutions":[{"id":"https://openalex.org/I75867142","display_name":"Xiamen University of Technology","ror":"https://ror.org/01285e189","country_code":"CN","type":"education","lineage":["https://openalex.org/I75867142"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Di Guo","raw_affiliation_strings":["School of Computer and Information Engineering, Xiamen University of Technology, Xiamen, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Information Engineering, Xiamen University of Technology, Xiamen, China","institution_ids":["https://openalex.org/I75867142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014643033","display_name":"Hengfa Lu","orcid":"https://orcid.org/0000-0001-5545-6070"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hengfa Lu","raw_affiliation_strings":["Fujian Provincial Key Laboratory of Plasma and Magnetic Resonance, Xiamen University, Xiamen, China","Department of Electronic Science, Fujian Provincial Key Laboratory of Plasma and Magnetic Resonance, Xiamen University, Xiamen, China"],"affiliations":[{"raw_affiliation_string":"Fujian Provincial Key Laboratory of Plasma and Magnetic Resonance, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]},{"raw_affiliation_string":"Department of Electronic Science, Fujian Provincial Key Laboratory of Plasma and Magnetic Resonance, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062309027","display_name":"Xiaobo Qu","orcid":"https://orcid.org/0000-0002-8675-5820"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaobo Qu","raw_affiliation_strings":["Fujian Provincial Key Laboratory of Plasma and Magnetic Resonance, Xiamen University, Xiamen, China","ORCiD","Department of Electronic Science, Fujian Provincial Key Laboratory of Plasma and Magnetic Resonance, Xiamen University, Xiamen, China"],"affiliations":[{"raw_affiliation_string":"Fujian Provincial Key Laboratory of Plasma and Magnetic Resonance, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]},{"raw_affiliation_string":"ORCiD","institution_ids":[]},{"raw_affiliation_string":"Department of Electronic Science, Fujian Provincial Key Laboratory of Plasma and Magnetic Resonance, Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063573457"],"corresponding_institution_ids":["https://openalex.org/I75867142"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":4.6916,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.95424337,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"5","issue":null,"first_page":"16033","last_page":"16039"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.998199999332428,"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":0.998199999332428,"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/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.9973999857902527,"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/T12381","display_name":"Electron Spin Resonance Studies","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.8049317598342896},{"id":"https://openalex.org/keywords/hankel-matrix","display_name":"Hankel matrix","score":0.7825430631637573},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.6684418320655823},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6360377073287964},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6006599068641663},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5991306304931641},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5509185791015625},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.4853900671005249},{"id":"https://openalex.org/keywords/low-rank-approximation","display_name":"Low-rank approximation","score":0.48226529359817505},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4644508361816406},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25479841232299805},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13486722111701965},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.12758973240852356},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08955740928649902}],"concepts":[{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.8049317598342896},{"id":"https://openalex.org/C25023664","wikidata":"https://www.wikidata.org/wiki/Q1575637","display_name":"Hankel matrix","level":2,"score":0.7825430631637573},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.6684418320655823},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6360377073287964},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6006599068641663},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5991306304931641},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5509185791015625},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.4853900671005249},{"id":"https://openalex.org/C90199385","wikidata":"https://www.wikidata.org/wiki/Q6692777","display_name":"Low-rank approximation","level":3,"score":0.48226529359817505},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4644508361816406},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25479841232299805},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13486722111701965},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.12758973240852356},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08955740928649902},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2017.2731860","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2017.2731860","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:abfb302fbd664b27bc69e154b865d4cb","is_oa":true,"landing_page_url":"https://doaj.org/article/abfb302fbd664b27bc69e154b865d4cb","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 5, Pp 16033-16039 (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2017.2731860","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2017.2731860","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.550000011920929}],"awards":[{"id":"https://openalex.org/G1007022226","display_name":null,"funder_award_id":"2015J01346","funder_id":"https://openalex.org/F4320321878","funder_display_name":"Natural Science Foundation of Fujian Province"},{"id":"https://openalex.org/G1560635133","display_name":null,"funder_award_id":"20720150109","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G2867611411","display_name":null,"funder_award_id":"61672335","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3175536783","display_name":null,"funder_award_id":"2016J05205","funder_id":"https://openalex.org/F4320321878","funder_display_name":"Natural Science Foundation of Fujian Province"},{"id":"https://openalex.org/G4506533003","display_name":null,"funder_award_id":"61601276","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4945824217","display_name":null,"funder_award_id":"2017YFC0108703","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7934993622","display_name":null,"funder_award_id":"61571380","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G911328202","display_name":null,"funder_award_id":"61302174","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321878","display_name":"Natural Science Foundation of Fujian Province","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W432863910","https://openalex.org/W1499303660","https://openalex.org/W1966451066","https://openalex.org/W1968079322","https://openalex.org/W2010528272","https://openalex.org/W2010969835","https://openalex.org/W2025086029","https://openalex.org/W2025644598","https://openalex.org/W2026040227","https://openalex.org/W2041339619","https://openalex.org/W2043706469","https://openalex.org/W2046282779","https://openalex.org/W2057278574","https://openalex.org/W2063948774","https://openalex.org/W2080811541","https://openalex.org/W2094289021","https://openalex.org/W2094597486","https://openalex.org/W2109163609","https://openalex.org/W2119556711","https://openalex.org/W2134144792","https://openalex.org/W2137876183","https://openalex.org/W2156829680","https://openalex.org/W2166313513","https://openalex.org/W2169821755","https://openalex.org/W2264683986","https://openalex.org/W2313996642","https://openalex.org/W2339621810","https://openalex.org/W2502290807","https://openalex.org/W2552118156","https://openalex.org/W2952832415","https://openalex.org/W6615006139","https://openalex.org/W6677964101"],"related_works":["https://openalex.org/W2150699280","https://openalex.org/W3195533526","https://openalex.org/W1997246199","https://openalex.org/W2483854313","https://openalex.org/W2782904003","https://openalex.org/W3005675099","https://openalex.org/W4226434912","https://openalex.org/W2528113629","https://openalex.org/W2118633810","https://openalex.org/W2153845527"],"abstract_inverted_index":{"Multidimensional":[0],"magnetic":[1],"resonance":[2],"spectroscopy":[3],"(MRS)":[4],"serves":[5],"as":[6],"a":[7,53,61,75,131,155,172],"valuable":[8],"tool":[9],"to":[10,47,59,78,143,175],"analyze":[11],"metabolites":[12],"in":[13,19,25,114],"medical":[14],"imaging,":[15],"complex":[16],"chemical":[17],"compounds":[18],"the":[20,49,80,87,91,98,106,109,115,121,150,160,166,180],"chemistry,":[21],"and":[22,52,85,177],"protein":[23],"structures":[24],"biology.":[26],"The":[27],"data":[28,50],"acquisition":[29,51],"time,":[30],"however,":[31],"is":[32,43,57,141],"relatively":[33],"long":[34],"because":[35,104],"it":[36],"increases":[37],"exponentially":[38],"with":[39,154,171],"dimensions.":[40],"Non-uniform":[41],"sampling":[42],"an":[44],"effective":[45,88],"way":[46],"accelerate":[48],"proper":[54],"reconstruction":[55,147],"method":[56,72,122,135],"necessary":[58],"obtain":[60],"full":[62],"spectra":[63,151],"of":[64,90,100,168],"high":[65],"quality.":[66,152],"A":[67],"state-of-the-art":[68],"low-rank":[69,132,169],"Hankel":[70],"matrix":[71,133],"has":[73],"shown":[74],"great":[76],"ability":[77],"reconstruct":[79],"low":[81],"intensity":[82],"broad":[83],"peaks":[84],"increase":[86],"sensitivity":[89],"reconstructed":[92],"spectra.":[93],"However,":[94],"this":[95,129],"technology":[96],"faces":[97],"challenge":[99],"slow":[101],"computation":[102,167],"time":[103],"minimizing":[105],"rankness":[107],"encounters":[108],"time-consuming":[110],"singular":[111,138],"value":[112,139],"decomposition":[113,140],"iterative":[116],"algorithm.":[117],"This":[118],"heavily":[119],"prohibits":[120],"from":[123],"processing":[124],"higher":[125],"dimensional":[126],"MRS.":[127],"In":[128],"paper,":[130],"factorization":[134],"that":[136],"avoids":[137],"introduced":[142],"enable":[144],"fast":[145],"MRS":[146,183],"without":[148],"sacrificing":[149],"Combined":[153],"designed":[156],"parallel":[157],"computing":[158],"architecture,":[159],"proposed":[161],"approach":[162,170],"can":[163],"speed":[164],"up":[165,174],"factor":[173],"150":[176],"enables":[178],"reconstructing":[179],"challenging":[181],"3-D":[182],"within":[184],"15":[185],"minutes.":[186]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":3}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}