{"id":"https://openalex.org/W4412638821","doi":"https://doi.org/10.1007/s10851-025-01263-9","title":"Practical Operator Sketching Framework for Accelerating Iterative Data-Driven Solutions in Linear Inverse Problems","display_name":"Practical Operator Sketching Framework for Accelerating Iterative Data-Driven Solutions in Linear Inverse Problems","publication_year":2025,"publication_date":"2025-07-24","ids":{"openalex":"https://openalex.org/W4412638821","doi":"https://doi.org/10.1007/s10851-025-01263-9"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-025-01263-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10851-025-01263-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10851-025-01263-9.pdf","source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10851-025-01263-9.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054394663","display_name":"Junqi Tang","orcid":"https://orcid.org/0000-0003-4996-6079"},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Junqi Tang","raw_affiliation_strings":["School of Mathematics, University of Birmingham, Birmingham, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Birmingham, Birmingham, UK","institution_ids":["https://openalex.org/I79619799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061309372","display_name":"Guixian Xu","orcid":"https://orcid.org/0000-0002-4895-3797"},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Guixian Xu","raw_affiliation_strings":["School of Mathematics, University of Birmingham, Birmingham, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Birmingham, Birmingham, UK","institution_ids":["https://openalex.org/I79619799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102928532","display_name":"Subhadip Mukherjee","orcid":"https://orcid.org/0000-0002-7957-8758"},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]},{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB","IN"],"is_corresponding":false,"raw_author_name":"Subhadip Mukherjee","raw_affiliation_strings":["Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK","Department of Electronics and Electrical Communication Engineering, IIT Kharagpur, Kharagpur, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Department of Electronics and Electrical Communication Engineering, IIT Kharagpur, Kharagpur, India","institution_ids":["https://openalex.org/I145894827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033880300","display_name":"Carola\u2010Bibiane Sch\u00f6nlieb","orcid":"https://orcid.org/0000-0003-0099-6306"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Carola-Bibiane Sch\u00f6nlieb","raw_affiliation_strings":["Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5054394663"],"corresponding_institution_ids":["https://openalex.org/I79619799"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":{"value":2190,"currency":"EUR","value_usd":2780},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22392231,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"67","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.995199978351593,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied 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/operator","display_name":"Operator (biology)","score":0.5708341598510742},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5055849552154541},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5051479935646057},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48236602544784546},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4764714241027832},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46796590089797974},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4293716549873352},{"id":"https://openalex.org/keywords/linear-operators","display_name":"Linear operators","score":0.4104054570198059},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4091202914714813},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3909339904785156},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38161200284957886},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3395116925239563},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22531121969223022},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14766135811805725},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11379644274711609}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5708341598510742},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5055849552154541},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5051479935646057},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48236602544784546},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4764714241027832},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46796590089797974},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4293716549873352},{"id":"https://openalex.org/C3019018024","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear operators","level":3,"score":0.4104054570198059},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4091202914714813},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3909339904785156},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38161200284957886},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3395116925239563},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22531121969223022},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14766135811805725},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11379644274711609},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10851-025-01263-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10851-025-01263-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10851-025-01263-9.pdf","source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"},{"id":"pmh:oai:www.repository.cam.ac.uk:1810/387441","is_oa":true,"landing_page_url":"https://www.repository.cam.ac.uk/handle/1810/387441","pdf_url":"https://www.repository.cam.ac.uk/bitstreams/92c51605-2356-4688-aa56-21edca4e2a4a/download","source":{"id":"https://openalex.org/S4306401777","display_name":"Apollo (University of Cambridge)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I241749","host_organization_name":"University of Cambridge","host_organization_lineage":["https://openalex.org/I241749"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:www.repository.cam.ac.uk:1810/388602","is_oa":true,"landing_page_url":"https://www.repository.cam.ac.uk/handle/1810/388602","pdf_url":"https://www.repository.cam.ac.uk/bitstreams/70393fd3-06eb-4f88-bf51-8962c789ae15/download","source":{"id":"https://openalex.org/S4306401777","display_name":"Apollo (University of Cambridge)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I241749","host_organization_name":"University of Cambridge","host_organization_lineage":["https://openalex.org/I241749"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/fe75efc8-7fe9-4e78-91f2-696e2e120623","is_oa":true,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/fe75efc8-7fe9-4e78-91f2-696e2e120623","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Tang, J, Xu, G, Mukherjee, S & Scho\u0308nlieb, C-B 2025, 'Practical Operator Sketching Framework for Accelerating Iterative Data-Driven Solutions in Linear Inverse Problems', Journal of Mathematical Imaging and Vision, vol. 67, 46. https://doi.org/10.1007/s10851-025-01263-9","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s10851-025-01263-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10851-025-01263-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10851-025-01263-9.pdf","source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4912167436","display_name":null,"funder_award_id":"EP/V029428/1, EPSRC Grants EP/S026045/1 and EP/T003553/1, EP/N014588/1, EP/T017961/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4412638821.pdf","grobid_xml":"https://content.openalex.org/works/W4412638821.grobid-xml"},"referenced_works_count":64,"referenced_works":["https://openalex.org/W1583837637","https://openalex.org/W1994616650","https://openalex.org/W1996856541","https://openalex.org/W2007399394","https://openalex.org/W2024484010","https://openalex.org/W2032237670","https://openalex.org/W2034135634","https://openalex.org/W2047152541","https://openalex.org/W2048417186","https://openalex.org/W2056370875","https://openalex.org/W2077849766","https://openalex.org/W2087416986","https://openalex.org/W2092663520","https://openalex.org/W2105119246","https://openalex.org/W2133665775","https://openalex.org/W2142224912","https://openalex.org/W2150115559","https://openalex.org/W2167077875","https://openalex.org/W2405803404","https://openalex.org/W2508457857","https://openalex.org/W2548154122","https://openalex.org/W2552808051","https://openalex.org/W2566240941","https://openalex.org/W2573726823","https://openalex.org/W2574952845","https://openalex.org/W2604885021","https://openalex.org/W2620976957","https://openalex.org/W2625685405","https://openalex.org/W2738743584","https://openalex.org/W2765431787","https://openalex.org/W2798559986","https://openalex.org/W2805167149","https://openalex.org/W2889700716","https://openalex.org/W2905119692","https://openalex.org/W2935973677","https://openalex.org/W2950190315","https://openalex.org/W2962840844","https://openalex.org/W2963060476","https://openalex.org/W2963459305","https://openalex.org/W2963627250","https://openalex.org/W2964309963","https://openalex.org/W2982168727","https://openalex.org/W2995286437","https://openalex.org/W3047238636","https://openalex.org/W3103586216","https://openalex.org/W3103870504","https://openalex.org/W3112410551","https://openalex.org/W3123078562","https://openalex.org/W3124596402","https://openalex.org/W3166469601","https://openalex.org/W3167568784","https://openalex.org/W3177586860","https://openalex.org/W3180330028","https://openalex.org/W3200625292","https://openalex.org/W3206211787","https://openalex.org/W4205203494","https://openalex.org/W4237018209","https://openalex.org/W4393435350","https://openalex.org/W4402753503","https://openalex.org/W4402823380","https://openalex.org/W4410392966","https://openalex.org/W6600106573","https://openalex.org/W6600822972","https://openalex.org/W6606084162"],"related_works":["https://openalex.org/W4317939968","https://openalex.org/W4390144857","https://openalex.org/W4281647907","https://openalex.org/W2638372604","https://openalex.org/W2008718992","https://openalex.org/W3114513573","https://openalex.org/W2596081731","https://openalex.org/W4365146290","https://openalex.org/W2331917905","https://openalex.org/W3155039083"],"abstract_inverted_index":{"Abstract":[0],"We":[1,168],"propose":[2,139],"a":[3,77],"new":[4],"operator":[5],"sketching":[6,95],"paradigm":[7],"for":[8,31,36,82,172],"designing":[9],"efficient":[10],"iterative":[11],"data-driven":[12],"reconstruction":[13,191],"(IDR)":[14],"schemes,":[15,108],"such":[16,40],"as":[17,41],"plug-and-play":[18,111],"algorithms":[19],"and":[20,45,67,116,120,146,154,163,188],"deep":[21,122],"unrolling":[22,123],"networks.":[23,124],"These":[24],"IDR":[25,49,84,107,199],"schemes":[26,50,85,130,144],"are":[27,134],"the":[28,60,64,94,110,132,149,161,178,193],"state-of-the-art":[29],"solutions":[30],"imaging":[32,38,88],"inverse":[33,89],"problems.":[34],"However,":[35],"high-dimensional":[37,65],"tasks,":[39],"X-ray":[42],"CT,":[43],"PET":[44],"MRI":[46],"imaging,":[47],"these":[48],"typically":[51],"become":[52],"inefficient":[53],"in":[54,86,152],"terms":[55],"of":[56,165,175,177,196],"computation,":[57],"due":[58],"to":[59,62,126,158],"need":[61],"compute":[63],"forward":[66],"adjoint":[68],"operators":[69],"multiple":[70],"times.":[71],"In":[72],"this":[73,101],"work,":[74],"we":[75,103,137],"introduce":[76],"universal":[78],"dimensionality":[79],"reduction":[80],"framework":[81],"accelerating":[83],"solving":[87],"problems,":[90],"based":[91],"on":[92,184],"leveraging":[93,148],"techniques":[96],"from":[97],"stochastic":[98,141],"optimization.":[99],"Using":[100],"framework,":[102],"derive":[104],"several":[105],"accelerated":[106],"including":[109],"multistage":[112],"sketched":[113,198],"gradient":[114],"(PnP-MS2G)":[115],"sketching-based":[117],"primal\u2013dual":[118],"(LSPD":[119],"SkLSPD)":[121],"Meanwhile,":[125],"fully":[127],"accelerate":[128],"PnP":[129,166],"when":[131],"denoisers":[133],"computationally":[135],"expensive,":[136],"further":[138],"novel":[140],"lazy":[142],"denoising":[143],"(Lazy-PnP":[145],"Lazy-PnP-EQ),":[147],"ProxSkip":[150],"scheme":[151],"optimization":[153],"equivariant":[155],"image":[156,186,190],"denoisers,":[157],"significantly":[159],"enhance":[160],"practicality":[162],"efficiency":[164],"algorithms.":[167],"provide":[169],"theoretical":[170],"analysis":[171],"recovery":[173],"guarantees":[174],"instances":[176],"proposed":[179],"framework.":[180],"Our":[181],"numerical":[182],"experiments":[183],"natural":[185],"processing":[187],"tomographic":[189],"demonstrate":[192],"remarkable":[194],"effectiveness":[195],"our":[197],"schemes.":[200]},"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
