{"id":"https://openalex.org/W7169566644","doi":"https://doi.org/10.48550/arxiv.2607.15196","title":"Subjective Risk Decomposition: A New View for Uncertainty Quantification","display_name":"Subjective Risk Decomposition: A New View for Uncertainty Quantification","publication_year":2026,"publication_date":"2026-07-16","ids":{"openalex":"https://openalex.org/W7169566644","doi":"https://doi.org/10.48550/arxiv.2607.15196"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2607.15196","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.15196","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,"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":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2607.15196","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5141075191","display_name":"Raghad Alamri","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alamri, Raghad","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5141103429","display_name":"Michele Caprio","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Caprio, Michele","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5091107483","display_name":"Gavin Brown","orcid":"https://orcid.org/0000-0003-2261-9018"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Brown, Gavin","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":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/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.1412000060081482,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.1412000060081482,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.09839999675750732,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.0737999975681305,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"Uncertainty quantification","score":0.794700026512146},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.5695000290870667},{"id":"https://openalex.org/keywords/sensitivity-analysis","display_name":"Sensitivity analysis","score":0.49709999561309814},{"id":"https://openalex.org/keywords/measurement-uncertainty","display_name":"Measurement uncertainty","score":0.4966999888420105},{"id":"https://openalex.org/keywords/uncertainty-analysis","display_name":"Uncertainty analysis","score":0.4796999990940094},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.46939998865127563},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.45339998602867126},{"id":"https://openalex.org/keywords/point-estimation","display_name":"Point estimation","score":0.4097000062465668}],"concepts":[{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.794700026512146},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5695000290870667},{"id":"https://openalex.org/C176147448","wikidata":"https://www.wikidata.org/wiki/Q1889114","display_name":"Sensitivity analysis","level":3,"score":0.49709999561309814},{"id":"https://openalex.org/C137209882","wikidata":"https://www.wikidata.org/wiki/Q1403517","display_name":"Measurement uncertainty","level":2,"score":0.4966999888420105},{"id":"https://openalex.org/C177803969","wikidata":"https://www.wikidata.org/wiki/Q29205","display_name":"Uncertainty analysis","level":2,"score":0.4796999990940094},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.46939998865127563},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.459199994802475},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.45339998602867126},{"id":"https://openalex.org/C41426520","wikidata":"https://www.wikidata.org/wiki/Q1192065","display_name":"Point estimation","level":2,"score":0.4097000062465668},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34380000829696655},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3310999870300293},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.31610000133514404},{"id":"https://openalex.org/C94361409","wikidata":"https://www.wikidata.org/wiki/Q7882500","display_name":"Uncertainty reduction theory","level":2,"score":0.3149999976158142},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.29010000824928284},{"id":"https://openalex.org/C12174686","wikidata":"https://www.wikidata.org/wiki/Q1058438","display_name":"Risk assessment","level":2,"score":0.28790000081062317},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.27950000762939453},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2786000072956085},{"id":"https://openalex.org/C2994224358","wikidata":"https://www.wikidata.org/wiki/Q13649246","display_name":"Standard uncertainty","level":3,"score":0.2694999873638153},{"id":"https://openalex.org/C112930515","wikidata":"https://www.wikidata.org/wiki/Q4389547","display_name":"Risk analysis (engineering)","level":1,"score":0.25679999589920044},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.25619998574256897},{"id":"https://openalex.org/C63002673","wikidata":"https://www.wikidata.org/wiki/Q2260590","display_name":"Scoring rule","level":2,"score":0.25540000200271606},{"id":"https://openalex.org/C123614077","wikidata":"https://www.wikidata.org/wiki/Q1364905","display_name":"Propagation of uncertainty","level":2,"score":0.25369998812675476}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2607.15196","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.15196","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,"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":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2607.15196","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.15196","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,"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":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,26,109,138],"present":[1],"a":[2,40,45,53,78,84,90,141,145],"novel":[3],"viewpoint":[4],"for":[5,149],"uncertainty":[6,32,62,150],"quantification.":[7,151],"Uncertainty":[8],"measures":[9,33,69],"are":[10,103],"not":[11],"primitives,":[12],"in":[13],"need":[14],"of":[15,22,39,124],"axioms":[16],"and":[17,30,93,100,119,129,132],"argumentation,":[18],"but":[19],"instead":[20],"consequences,":[21],"higher-level":[23],"modelling":[24,91],"decisions.":[25],"show":[27],"how":[28],"epistemic":[29,99],"aleatoric":[31,101],"can":[34],"be":[35],"derived":[36],"via":[37],"decomposition":[38,57],"subjective":[41,121],"risk,":[42,126],"based":[43],"on":[44],"strictly":[46,94],"proper":[47,95],"loss.":[48],"Reverse":[49],"cross":[50],"entropy":[51],"provides":[52],"prominent":[54],"example,":[55],"where":[56],"recovers":[58,67],"the":[59,73,97,106,134],"classic":[60],"information-theoretic":[61],"terms.":[63],"The":[64],"same":[65],"approach":[66,86],"numerous":[68],"previously":[70],"proposed":[71],"across":[72],"UQ":[74],"literature,":[75],"providing":[76],"them":[77],"common":[79],"theoretical":[80],"foundation.":[81],"This":[82],"suggests":[83],"new":[85],"to":[87,114,136],"UQ:":[88],"given":[89],"scenario":[92],"loss,":[96],"corresponding":[98],"terms":[102],"induced":[104],"by":[105],"subjective-risk":[107],"decomposition.":[108],"then":[110],"extend":[111],"our":[112],"view":[113],"learning":[115],"theory:":[116],"we":[117],"introduce":[118],"analyse":[120],"risk":[122],"analogues":[123],"excess":[125],"approximation":[127],"error":[128],"estimation":[130],"error,":[131],"identify":[133],"connections":[135],"UQ.":[137],"consider":[139],"this":[140],"first":[142],"step":[143],"towards":[144],"full":[146],"learning-theoretic":[147],"framework":[148]},"counts_by_year":[],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2026-07-18T00:00:00"}
