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DTSTART;TZID=Europe/Brussels:20221201T130000
DTEND;TZID=Europe/Brussels:20221201T140000
DTSTAMP:20260429T232716
CREATED:20220913T114334Z
LAST-MODIFIED:20221205T150804Z
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SUMMARY:Johan SEGERS (UCLouvain)
DESCRIPTION:Title: Graphical and uniform consistency of estimated optimal transport plans \nAbstract: A general theory is provided delivering convergence of maximal cyclically monotone mappings containing the supports of coupling measures of sequences of pairs of possibly random probability measures on Euclidean space. The theory is based on the identification of such a mapping with a closed subset of a Cartesian product of Euclidean spaces and leveraging tools from random set theory. Weak convergence in the appropriate Fell space together with the maximal cyclical monotonicity then automatically yields local uniform convergence of the associated mappings. Viewing such mappings as optimal transport plans between probability measures with respect to the squared Euclidean distance as cost function yields consistency results for notions of multivariate ranks and quantiles based on optimal transport\, notably the empirical center-outward distribution and quantile functions. \nThe seminar will take place in room S08 at the Faculty of Sciences
URL:https://www.naxys.be/event/johan-segers-uclouvain/
CATEGORIES:NAXYS Seminar
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DTSTART;TZID=Europe/Brussels:20221215T130000
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DTSTAMP:20260429T232716
CREATED:20221026T125848Z
LAST-MODIFIED:20221114T100200Z
UID:1722-1671109200-1671112800@www.naxys.be
SUMMARY:Victor Pessanha (Mathematical Institute of the Federal University of Rio de Janeiro\, Brazil)
DESCRIPTION:Title: A quick introduction to knots and braids \nAbstract: In this talk I will do an overview on the theory of knots and braids. The idea is to define what these objects are and to present two major theorems relating them by just giving an intuition behind their proof. If possible\, I will also talk about how these objects can naturally appear in the dynamics of point masses. \nThe seminar will take place in Room S08 at the Faculty of Sciences. \n 
URL:https://www.naxys.be/event/victor-pessanha-mathematical-institute-of-the-federal-university-of-rio-de-janeiro/
CATEGORIES:NAXYS Seminar
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