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- W3037760219 abstract "For a given class $mathcal{F}$ of closed sets of a measured metric space $(E,d,mu)$, we want to find the smallest element $B$ of the class $mathcal{F}$ such that $mu(B)geq 1-alpha$, for a given $0<alpha<1$. This set $B$ textit{localizes the mass} of $mu$. Replacing the measure $mu$ by the empirical measure $mu_n$ gives an empirical smallest set $B_n$. The article introduces a formal definition of small sets (and their size) and study the convergence of the sets $B_n$ to $B$ and of their size." @default.
- W3037760219 created "2020-07-02" @default.
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- W3037760219 date "2015-06-12" @default.
- W3037760219 modified "2023-09-27" @default.
- W3037760219 title "Mass localization" @default.
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