{"id":"https://openalex.org/W7128815989","doi":"https://doi.org/10.48550/arxiv.2602.11482","title":"External Division of Two Bregman Proximity Operators for Poisson Inverse Problems","display_name":"External Division of Two Bregman Proximity Operators for Poisson Inverse Problems","publication_year":2026,"publication_date":"2026-02-12","ids":{"openalex":"https://openalex.org/W7128815989","doi":"https://doi.org/10.48550/arxiv.2602.11482"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2602.11482","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.11482","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2602.11482","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5125901783","display_name":"Kazuki Haishima","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Haishima, Kazuki","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016949495","display_name":"Kyohei Suzuki","orcid":"https://orcid.org/0000-0001-7189-8645"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Suzuki, Kyohei","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5125942013","display_name":"Konstantinos Slavakis","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Slavakis, Konstantinos","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5125901783"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.6912000179290771,"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":0.6912000179290771,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.0608999989926815,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.050599999725818634,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bregman-divergence","display_name":"Bregman divergence","score":0.7465999722480774},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6819000244140625},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.5692999958992004},{"id":"https://openalex.org/keywords/linear-map","display_name":"Linear map","score":0.5056999921798706},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.5022000074386597},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4984999895095825},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4878000020980835},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4366999864578247}],"concepts":[{"id":"https://openalex.org/C149073432","wikidata":"https://www.wikidata.org/wiki/Q4960382","display_name":"Bregman divergence","level":2,"score":0.7465999722480774},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7085999846458435},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6819000244140625},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.5692999958992004},{"id":"https://openalex.org/C49766605","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear map","level":2,"score":0.5056999921798706},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5047000050544739},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.5022000074386597},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4984999895095825},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4878000020980835},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4366999864578247},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4287000000476837},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40540000796318054},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3930000066757202},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.35089999437332153},{"id":"https://openalex.org/C3062749","wikidata":"https://www.wikidata.org/wiki/Q5282040","display_name":"Discrete Poisson equation","level":4,"score":0.31929999589920044},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3000999987125397},{"id":"https://openalex.org/C76134657","wikidata":"https://www.wikidata.org/wiki/Q370634","display_name":"Generalized inverse","level":3,"score":0.2985999882221222},{"id":"https://openalex.org/C3019018024","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear operators","level":3,"score":0.2840999960899353},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.2809999883174896},{"id":"https://openalex.org/C160920958","wikidata":"https://www.wikidata.org/wiki/Q7662746","display_name":"Synthetic data","level":2,"score":0.26739999651908875},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2556999921798706}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2602.11482","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.11482","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2602.11482","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.11482","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5134122371673584}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0,50],"paper":[1],"presents":[2],"a":[3,68],"novel":[4],"method":[5,109],"for":[6],"recovering":[7],"sparse":[8,38],"vectors":[9],"from":[10],"linear":[11],"models":[12],"corrupted":[13],"by":[14,46],"Poisson":[15,100],"noise.":[16],"The":[17],"contribution":[18],"is":[19,34,52,80],"twofold.":[20],"First,":[21],"an":[22,129],"operator":[23,51,66,79],"defined":[24],"via":[25],"the":[26,42,56,62,72,76,93,99,107],"external":[27],"division":[28],"of":[29,75,92,98],"two":[30,83],"Bregman":[31,64],"proximity":[32,65],"operators":[33],"introduced":[35],"to":[36],"promote":[37],"solutions":[39],"while":[40],"mitigating":[41],"estimation":[43],"bias":[44],"induced":[45],"classical":[47],"$\\ell_1$-norm":[48],"regularization.":[49],"then":[53],"embedded":[54],"into":[55],"already":[57],"established":[58],"NoLips":[59],"algorithm,":[60],"replacing":[61],"standard":[63],"in":[67,90],"plug-and-play":[69],"manner.":[70],"Second,":[71],"geometric":[73],"structure":[74],"proposed":[77,108],"external-division":[78],"elucidated":[81],"through":[82],"complementary":[84],"reformulations,":[85],"which":[86],"provide":[87],"clear":[88],"interpretations":[89],"terms":[91],"primal":[94],"and":[95,120,128],"dual":[96],"spaces":[97],"inverse":[101],"problem.":[102,132],"Numerical":[103],"tests":[104],"show":[105],"that":[106],"exhibits":[110],"more":[111],"stable":[112],"convergence":[113],"behavior":[114],"than":[115],"conventional":[116],"Kullback-Leibler":[117],"(KL)-based":[118],"approaches":[119],"achieves":[121],"significantly":[122],"superior":[123],"performance":[124],"on":[125],"synthetic":[126],"data":[127],"image":[130],"restoration":[131]},"counts_by_year":[],"updated_date":"2026-02-14T06:27:19.455381","created_date":"2026-02-14T00:00:00"}