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Our approach also contributes to data association by computing the precision required for a measure to belong to a given track with confidence levels. Mainly interested in space surveillance, we illustrate the contributions of this new algorithm with several scenarios of orbit determination and satellite tracking and their numerical simulations.<\/jats:p>","DOI":"10.14232\/actacyb.314226","type":"journal-article","created":{"date-parts":[[2025,12,22]],"date-time":"2025-12-22T13:42:07Z","timestamp":1766410927000},"page":"429-451","source":"Crossref","is-referenced-by-count":0,"title":["On Propagating Uncertainties for Estimation and Association using Validated Interval Simulation"],"prefix":"10.14232","volume":"27","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0458-4993","authenticated-orcid":false,"given":"Elliot","family":"Brendel","sequence":"first","affiliation":[{"name":"Thales Land and Air Systems","place":["Paris, France"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6185-2480","authenticated-orcid":false,"given":"Julien","family":"Alexandre Dit Sandretto","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/042tfbd02","id-type":"ROR","asserted-by":"publisher"}],"name":"ENSTA Paris, Institut Polytechnique de Paris"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0003-7703-0785","authenticated-orcid":false,"given":"Charlotte","family":"Govignon","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02nwvxz07","id-type":"ROR","asserted-by":"publisher"}],"name":"\u00c9cole des Ponts ParisTech"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"5401","published-online":{"date-parts":[[2025,12,19]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.14232\/actacyb.285177"},{"key":"ref2","article-title":"Validated explicit and implicit Runge-Kutta methods","volume":"22","author":"Alexandre dit Sandretto","year":"2016","unstructured":"Alexandre dit Sandretto, J. and Chapoutot, A. 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