{"id":"https://openalex.org/W4401976879","doi":"https://doi.org/10.1137/23m1607015","title":"An Inexact Majorized Proximal Alternating Direction Method of Multipliers for Diffusion Tensors","display_name":"An Inexact Majorized Proximal Alternating Direction Method of Multipliers for Diffusion Tensors","publication_year":2024,"publication_date":"2024-08-19","ids":{"openalex":"https://openalex.org/W4401976879","doi":"https://doi.org/10.1137/23m1607015"},"language":"en","primary_location":{"id":"doi:10.1137/23m1607015","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1607015","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","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/A5100661374","display_name":"Hong Zhu","orcid":"https://orcid.org/0000-0002-0940-8059"},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong Zhu","raw_affiliation_strings":["School of Mathematical Sciences, Jiangsu University, Xuefu Road, Zhenjiang, 212013, Jiangsu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Jiangsu University, Xuefu Road, Zhenjiang, 212013, Jiangsu, China","institution_ids":["https://openalex.org/I115592961"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010561682","display_name":"Michael K. Ng","orcid":"https://orcid.org/0000-0001-6833-5227"},"institutions":[{"id":"https://openalex.org/I141568987","display_name":"Hong Kong Baptist University","ror":"https://ror.org/0145fw131","country_code":"HK","type":"education","lineage":["https://openalex.org/I141568987"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Michael K. Ng","raw_affiliation_strings":["Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong, 999077, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong, 999077, China","institution_ids":["https://openalex.org/I141568987"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1669344,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"3","first_page":"1795","last_page":"1819"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.998199999332428,"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"}},"topics":[{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.998199999332428,"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/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T12303","display_name":"Tensor decomposition and applications","score":0.9973999857902527,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5755197405815125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5725579857826233},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5069472789764404},{"id":"https://openalex.org/keywords/diffusion-mri","display_name":"Diffusion MRI","score":0.4862431585788727},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4010459780693054},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3565267324447632},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.33269500732421875},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3268977403640747},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.31371045112609863},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.10108327865600586},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.07605218887329102}],"concepts":[{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5755197405815125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5725579857826233},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5069472789764404},{"id":"https://openalex.org/C149550507","wikidata":"https://www.wikidata.org/wiki/Q899360","display_name":"Diffusion MRI","level":3,"score":0.4862431585788727},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4010459780693054},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3565267324447632},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33269500732421875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3268977403640747},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31371045112609863},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.10108327865600586},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.07605218887329102},{"id":"https://openalex.org/C143409427","wikidata":"https://www.wikidata.org/wiki/Q161238","display_name":"Magnetic resonance imaging","level":2,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/23m1607015","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1607015","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1150116094","display_name":null,"funder_award_id":"NSFC12271217","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6239926194","display_name":null,"funder_award_id":"5501190009","funder_id":"https://openalex.org/F4320321410","funder_display_name":"Jiangsu University"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321410","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1514497323","https://openalex.org/W1897801518","https://openalex.org/W1964802316","https://openalex.org/W2000147660","https://openalex.org/W2022530159","https://openalex.org/W2023901033","https://openalex.org/W2025353374","https://openalex.org/W2026517977","https://openalex.org/W2030923460","https://openalex.org/W2042422178","https://openalex.org/W2067774845","https://openalex.org/W2068286370","https://openalex.org/W2080198834","https://openalex.org/W2082443028","https://openalex.org/W2092607002","https://openalex.org/W2119981177","https://openalex.org/W2128207744","https://openalex.org/W2147230314","https://openalex.org/W2184578012","https://openalex.org/W2272070477","https://openalex.org/W2274628055","https://openalex.org/W2331706110","https://openalex.org/W2962748029","https://openalex.org/W2963647795","https://openalex.org/W2964271484","https://openalex.org/W2969771825","https://openalex.org/W2971348295","https://openalex.org/W3034770799","https://openalex.org/W4205808776","https://openalex.org/W4211150925","https://openalex.org/W4233197277"],"related_works":["https://openalex.org/W1768769760","https://openalex.org/W2413360119","https://openalex.org/W1576270090","https://openalex.org/W2131307089","https://openalex.org/W2356293051","https://openalex.org/W2157123855","https://openalex.org/W57104752","https://openalex.org/W2547933944","https://openalex.org/W3106021769","https://openalex.org/W2004006028"],"abstract_inverted_index":{"Abstract.":[0],"This":[1],"paper":[2],"focuses":[3],"on":[4],"studying":[5],"the":[6,23,29,62,66,97,115],"denoising":[7,142],"problem":[8,100],"for":[9,80],"positive":[10,20,35],"semidefinite":[11,36],"fourth-order":[12],"tensor":[13,24,30,63],"field":[14,64],"estimation":[15],"from":[16],"noisy":[17],"observations.":[18],"The":[19,112],"semidefiniteness":[21],"of":[22,78,96,114,141],"is":[25,42,120],"preserved":[26],"by":[27],"mapping":[28],"to":[31,47,53],"a":[32,82],"6-by-6":[33],"symmetric":[34],"matrix":[37,40],"where":[38],"its":[39],"rank":[41],"less":[43],"than":[44,107],"or":[45],"equal":[46],"three.":[48],"For":[49],"denoising,":[50],"we":[51],"propose":[52,70],"use":[54],"an":[55,71,91],"anisotropic":[56],"discrete":[57],"total":[58],"variation":[59],"function":[60],"over":[61],"as":[65],"regularization":[67],"term.":[68],"We":[69,88],"inexact":[72],"majorized":[73],"proximal":[74],"alternating":[75],"direction":[76],"method":[77,135],"multipliers":[79],"such":[81],"nonconvex":[83],"and":[84,118,128],"nonsmooth":[85],"optimization":[86,99],"problem.":[87],"show":[89],"that":[90,133],"[Formula:":[92,108],"see":[93,109],"text]-stationary":[94],"solution":[95],"resulting":[98],"can":[101],"be":[102],"found":[103],"in":[104,139],"no":[105],"more":[106],"text]":[110],"iterations.":[111],"effectiveness":[113],"proposed":[116],"model":[117],"algorithm":[119],"tested":[121],"using":[122],"multifiber":[123],"diffusion":[124],"weighted":[125],"imaging":[126],"data,":[127],"our":[129,134],"numerical":[130],"results":[131],"demonstrate":[132],"outperforms":[136],"existing":[137],"methods":[138],"terms":[140],"performance.":[143]},"counts_by_year":[],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}
