{"id":"https://openalex.org/W4416363694","doi":"https://doi.org/10.48550/arxiv.2511.13533","title":"Minimax Multi-Target Conformal Prediction with Applications to Imaging Inverse Problems","display_name":"Minimax Multi-Target Conformal Prediction with Applications to Imaging Inverse Problems","publication_year":2025,"publication_date":"2025-11-17","ids":{"openalex":"https://openalex.org/W4416363694","doi":"https://doi.org/10.48550/arxiv.2511.13533"},"language":null,"primary_location":{"id":"pmh:oai:arXiv.org:2511.13533","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2511.13533","pdf_url":"https://arxiv.org/pdf/2511.13533","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2511.13533","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111290522","display_name":"Jeffrey Wen","orcid":"https://orcid.org/0000-0003-3001-4086"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Wen, Jeffrey","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046840331","display_name":"Rizwan Ahmad","orcid":"https://orcid.org/0000-0002-5917-3788"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ahmad, Rizwan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5045693581","display_name":"Philip Schniter","orcid":"https://orcid.org/0000-0003-0939-7545"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Schniter, Philip","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111290522"],"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":0.33090001344680786,"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":0.33090001344680786,"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/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.08649999648332596,"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/T10136","display_name":"Statistical Methods and Inference","score":0.06859999895095825,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/minimax","display_name":"Minimax","score":0.8859000205993652},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.6784999966621399},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.6682999730110168},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5037000179290771},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4586000144481659},{"id":"https://openalex.org/keywords/image-quality","display_name":"Image quality","score":0.4544999897480011}],"concepts":[{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.8859000205993652},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.6784999966621399},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.6682999730110168},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5037000179290771},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4609000086784363},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4586000144481659},{"id":"https://openalex.org/C55020928","wikidata":"https://www.wikidata.org/wiki/Q3813865","display_name":"Image quality","level":3,"score":0.4544999897480011},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.41909998655319214},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41670000553131104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40560001134872437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3772999942302704},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37549999356269836},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.3499999940395355},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.34310001134872437},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.2957000136375427},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.2935999929904938},{"id":"https://openalex.org/C2779885931","wikidata":"https://www.wikidata.org/wiki/Q17010029","display_name":"Microwave imaging","level":3,"score":0.2694000005722046},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2646999955177307}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2511.13533","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2511.13533","pdf_url":"https://arxiv.org/pdf/2511.13533","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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.2511.13533","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2511.13533","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":"pmh:oai:arXiv.org:2511.13533","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2511.13533","pdf_url":"https://arxiv.org/pdf/2511.13533","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0,58],"ill-posed":[1],"imaging":[2,126],"inverse":[3,27],"problems,":[4],"uncertainty":[5,24,97],"quantification":[6],"remains":[7],"a":[8,48],"fundamental":[9],"challenge,":[10],"especially":[11],"in":[12],"safety-critical":[13],"applications.":[14],"Recently,":[15],"conformal":[16,68,117],"prediction":[17,69,73,118],"has":[18],"been":[19],"used":[20],"to":[21,30,66,90,114],"quantify":[22],"the":[23,26,107],"that":[25,70],"problem":[28],"contributes":[29],"downstream":[31],"tasks":[32],"like":[33],"image":[34,36,93],"classification,":[35],"quality":[37,94],"assessment,":[38,95],"fat":[39],"mass":[40],"quantification,":[41,98],"etc.":[42],"While":[43],"existing":[44,115],"works":[45],"handle":[46],"only":[47],"scalar":[49],"estimation":[50],"target,":[51],"practical":[52],"applications":[53],"often":[54],"involve":[55],"multiple":[56],"targets.":[57],"response,":[59],"we":[60,104],"propose":[61],"an":[62],"asymptotically":[63],"minimax":[64,85,111],"approach":[65,86],"multi-target":[67,116],"provides":[71],"tight":[72],"intervals":[74],"while":[75],"ensuring":[76],"joint":[77],"marginal":[78],"coverage.":[79],"We":[80],"then":[81],"outline":[82],"how":[83],"our":[84,110],"can":[87],"be":[88],"applied":[89],"multi-metric":[91],"blind":[92],"multi-task":[96],"and":[99,123],"multi-round":[100],"measurement":[101],"acquisition.":[102],"Finally,":[103],"numerically":[105],"demonstrate":[106],"benefits":[108],"of":[109],"method,":[112],"relative":[113],"methods,":[119],"using":[120],"both":[121],"synthetic":[122],"magnetic":[124],"resonance":[125],"(MRI)":[127],"data.":[128],"Code":[129],"is":[130],"available":[131],"at":[132],"https://github.com/jwen307/multi_target_minimax.":[133]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-11-19T00:00:00"}
