{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,6]],"date-time":"2025-10-06T17:46:00Z","timestamp":1759772760323,"version":"3.41.0"},"reference-count":34,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"name":"BASAL"},{"DOI":"10.13039\/501100020884","name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo","doi-asserted-by":"crossref","award":["MATH-AMSUD 23-MATH-09","MATH-AMSUD 23-MATH-17","ECOS-ANID ECOS320027"],"award-info":[{"award-number":["MATH-AMSUD 23-MATH-09","MATH-AMSUD 23-MATH-17","ECOS-ANID ECOS320027"]}],"id":[{"id":"10.13039\/501100020884","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100002850","name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["1220886","1240335","1240120","13220097"],"award-info":[{"award-number":["1220886","1240335","1240120","13220097"]}],"id":[{"id":"10.13039\/501100002850","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Centro de Modelamiento Matematico","award":["ACE210010","FB210005"],"award-info":[{"award-number":["ACE210010","FB210005"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Optim."],"published-print":{"date-parts":[[2025,6,30]]},"DOI":"10.1137\/24m1665465","type":"journal-article","created":{"date-parts":[[2025,5,28]],"date-time":"2025-05-28T08:00:25Z","timestamp":1748419225000},"page":"1216-1245","source":"Crossref","is-referenced-by-count":1,"title":["Differentiability of Probability Functions Involving Star-Shaped Valued Set-Valued Maps"],"prefix":"10.1137","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9943-3572","authenticated-orcid":true,"given":"Wim","family":"van Ackooij","sequence":"first","affiliation":[{"name":"EDF Lab Paris-Saclay, Palaiseau, France."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8756-3011","authenticated-orcid":true,"given":"Pedro","family":"P\u00e9rez-Aros","sequence":"additional","affiliation":[{"name":"Department of Mathematical Engineering (DIM) and Center for Mathematical Modeling (CMM), University of Chile, Santiago, Chile."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Claudia","family":"Soto","sequence":"additional","affiliation":[{"name":"Instituto de Ciencias de la Ingenier\u00eda, Universidad de O\u2019Higgins, Rancagua, Chile."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","published-online":{"date-parts":[[2025,5,28]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-4848-0"},{"key":"ref2","first-page":"383","volume":"12","author":"Balder E. J.","year":"2005","journal-title":"J. Convex Anal."},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718751.ch4"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1137\/15M1036592"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-018-1237-9"},{"key":"ref6","first-page":"1","author":"Henrion R.","year":"2016","journal-title":"Lecture Notes"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-9586-5_17"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1080\/07362999808809581"},{"key":"ref9","series-title":"Grundlehren Math. Wiss. 330","volume-title":"Variational Analysis and Generalized Differentiation I. Basic Theory","author":"Mordukhovich B. S.","year":"2006"},{"key":"ref10","series-title":"Grundlehren Math. Wiss. 331","volume-title":"Variational Analysis and Generalized Differentiation II. Applications","author":"Mordukhovich B. S.","year":"2006"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-92775-6"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-005-0632-1"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/S0246-0203(02)00008-0"},{"key":"ref14","first-page":"301","volume":"32","author":"Pr\u00e9kopa A.","year":"1971","journal-title":"Acta Sci. Math. (Szeged)"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-017-3087-7"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/S0927-0507(03)10005-9"},{"key":"ref17","series-title":"Grundlehren Math. Wiss. 317","volume-title":"Variational Analysis","author":"Rockafellar R.","year":"2009","edition":"3"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1023\/B:JOTA.0000041734.06199.71"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-007-9178-0"},{"key":"ref20","first-page":"658","volume-title":"Encyclopedia of Optimization","author":"Uryas\u2019ev S.","year":"2009","edition":"2"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/s11228-020-00552-2"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/s11228-017-0454-3"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1137\/130922689"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1137\/16M1061308"},{"key":"ref25","first-page":"509","volume":"15","author":"van Ackooij W.","year":"2014","journal-title":"Optim. Eng."},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1080\/02331934.2019.1576670"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1007\/s11228-021-00598-w"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-018-1230-3"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1137\/18M1181262"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-020-01634-9"},{"key":"ref31","first-page":"7","volume":"2","author":"van Ackooij W.","year":"2021","journal-title":"Open J. Math. Optim."},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/s00245-022-09844-5"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1007\/s11228-024-00709-3"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1142\/5021"}],"container-title":["SIAM Journal on Optimization"],"original-title":[],"language":"en","deposited":{"date-parts":[[2025,5,28]],"date-time":"2025-05-28T08:00:31Z","timestamp":1748419231000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/24M1665465"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,5,28]]},"references-count":34,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2025,6,30]]}},"alternative-id":["10.1137\/24M1665465"],"URL":"https:\/\/doi.org\/10.1137\/24m1665465","relation":{},"ISSN":["1052-6234","1095-7189"],"issn-type":[{"value":"1052-6234","type":"print"},{"value":"1095-7189","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,5,28]]}}}