{"id":"https://openalex.org/W7213514890","doi":"https://doi.org/10.48550/arxiv.2609.17849","title":"A variational mollification approach to circular deconvolution","display_name":"A variational mollification approach to circular deconvolution","publication_year":2026,"publication_date":"2026-09-15","ids":{"openalex":"https://openalex.org/W7213514890","doi":"https://doi.org/10.48550/arxiv.2609.17849"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.17849","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.17849","pdf_url":"https://arxiv.org/pdf/2609.17849","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.17849","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089669299","display_name":"Mirza Karamehmedovi\u0107","orcid":"https://orcid.org/0000-0003-0038-9020","observed_orcids":["https://orcid.org/0000-0003-0038-9020"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karamehmedovi\u0107, Mirza","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103028791","display_name":"Pierre Mar\u00e9chal","orcid":"https://orcid.org/0000-0001-7121-5699","observed_orcids":["https://orcid.org/0000-0001-7121-5699"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mar\u00e9chal, Pierre","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5082149701","display_name":"Mykhailo Petrov","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Petrov, Mykhailo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9878000020980835,"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":0.9878000020980835,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.006300000008195639,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.0005000000237487257,"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/convex-variational-problems","display_name":"convex variational problems","score":0.8009999990463257},{"id":"https://openalex.org/keywords/fourier-representation","display_name":"Fourier representation","score":0.8700000047683716},{"id":"https://openalex.org/keywords/convergence-rate","display_name":"convergence rate","score":0.718999981880188},{"id":"https://openalex.org/keywords/wind-direction-data","display_name":"wind direction data","score":0.5699999928474426},{"id":"https://openalex.org/keywords/inverse-problems","display_name":"inverse problems","score":0.4269999861717224}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7172999978065491},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.6757000088691711},{"id":"https://openalex.org/C174576160","wikidata":"https://www.wikidata.org/wiki/Q1183700","display_name":"Deconvolution","level":2,"score":0.6312999725341797},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5853999853134155},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5673999786376953},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47920000553131104},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4564000070095062},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.45179998874664307},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4250999987125397},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.4018999934196472},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.3781000077724457},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.35839998722076416},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34130001068115234},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.33480000495910645},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.28060001134872437},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.27880001068115234},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.2768999934196472},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.2711000144481659},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27000001072883606},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.2689000070095062},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.2574999928474426},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2533999979496002}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.17849","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.17849","pdf_url":"https://arxiv.org/pdf/2609.17849","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.17849","doi":"https://doi.org/10.48550/arxiv.2609.17849","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.17849","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.17849","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.17849","pdf_url":"https://arxiv.org/pdf/2609.17849","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7213514890.pdf","grobid_xml":"https://content.openalex.org/works/W7213514890.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W3126396315"],"related_works":["https://openalex.org/W7166126765","https://openalex.org/W2913505407","https://openalex.org/W2156545107","https://openalex.org/W2404561836","https://openalex.org/W2067994512","https://openalex.org/W2099443235","https://openalex.org/W2383495548","https://openalex.org/W2048653326","https://openalex.org/W157718599","https://openalex.org/W2950170239"],"abstract_inverted_index":{"We":[0,40],"propose":[1],"a":[2,14,29],"variational":[3,31],"mollification":[4],"approach":[5,102],"to":[6],"circular":[7],"deconvolution":[8],"based":[9],"on":[10,91],"the":[11,20,42,45,49,65,68,84,97,100,105],"reconstruction":[12,47],"of":[13,44,99],"mollified":[15],"target":[16,50],"object":[17],"rather":[18],"than":[19],"exact":[21],"solution":[22,34],"itself.":[23],"The":[24],"method":[25,66],"is":[26],"formulated":[27],"as":[28,48],"convex":[30],"problem":[32],"whose":[33],"admits":[35],"an":[36],"explicit":[37],"Fourier":[38],"representation.":[39],"establish":[41],"consistency":[43],"proposed":[46,101],"resolution":[51],"increases":[52],"and":[53,93,103],"derive":[54],"convergence":[55,72],"rates":[56,73],"for":[57,79],"deterministic":[58],"data":[59,95],"perturbations.":[60],"For":[61],"ordinary":[62],"smooth":[63],"kernels,":[64],"achieves":[67],"classical":[69],"order-optimal":[70,86],"algebraic":[71],"under":[74],"Besov-Nikolskii":[75],"smoothness":[76],"assumptions,":[77],"while":[78],"supersmooth":[80],"kernels":[81],"it":[82],"attains":[83],"corresponding":[85],"logarithmic":[87],"rates.":[88],"Numerical":[89],"experiments":[90],"synthetic":[92],"wind-direction":[94],"illustrate":[96],"effectiveness":[98],"confirm":[104],"theoretical":[106],"predictions.":[107]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-18T00:00:00"}
