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pro vyhledávání: '"Quattrocchi, Filippo"'
Autor:
Quattrocchi, Filippo
We investigate the minimal error in approximating a general probability measure $\mu$ on $\mathbb{R}^d$ by the uniform measure on a finite set with prescribed cardinality $n$. The error is measured in the $p$-Wasserstein distance. In particular, when
Externí odkaz:
http://arxiv.org/abs/2408.12924
Autor:
Quattrocchi, Filippo
We prove the convergence of a modified Jordan--Kinderlehrer--Otto scheme to a solution to the Fokker--Planck equation in $\Omega \Subset \mathbb{R}^d$ with general, positive and temporally constant, Dirichlet boundary conditions. We work under mild a
Externí odkaz:
http://arxiv.org/abs/2403.07803
We present an elementary non-recursive formula for the multivariate moments of the Dirichlet distribution on the standard simplex, in terms of the pattern inventory of the moments' exponents. We obtain analog formulas for the multivariate moments of
Externí odkaz:
http://arxiv.org/abs/2309.11292