Dear all,
We announce that the MAP seminars will resume this week and will take place
on Thursday mornings.
Here is the announcement of the next seminar.
⟶ *Speaker**:* *Francesca Pieroni* (Sapienza Università di Roma)
⟶ Thursday 7th November, at 11:30 in Aula Seminari
⟶ *Title**:* *Random Euclidean Matching for Gaussian Densities*
⟶ *Abstract**:* The Random Euclidean Matching problem is the problem of
finding the best matching between two sets of N independent random
variables [image: \{X_i,Y_i\}], i=1,…,N in [image: \mathbb{R}^d]. That is,
it is defined a cost function [image: C(N)=\min \sum|X_i-Y_{\pi i}|^p],
where the minimum is taken among all the possible permutations [image: \pi]
of [image: \{1,...,N\}], and we are interested in the behavior of the
expected value of the cost function for large N.
The aim of the talk is to introduce the problem and then look at the cases
of uniformly distributed variables, non uniformly distributed variables and
variables with exponentially decaying densities (for example Gaussian
distribution) in [image: \mathbb{R}^d], with [image: d\geq 2].
We remind you that these seminars are addressed to everybody: the first
half of the seminar is dedicated to the introduction of notions and tools
needed in the second half, which is focused on research topics.
See you soon,
The organizers:
Michele Caselli
Francesco Malizia
Jeremy Mirmina
Filippo Paiano
Leonardo Roveri
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