Dear all,
On Wednesday, February 15th, at 14h00 in Aula Dal Passo at Roma Tor Vergata, RoMaDS (https://www.mat.uniroma2.it/~rds/about.php) will host Francesco Vaccarino (Politecnico di Torino) with the seminar _ _ _"Hodge-Shapley game: a Laplacian-based Shapley-like associated game for eXplainable AI"_ _ _ Abstract: In cooperative game theory, a set of players or decision-makers should negotiate to decide how to allocate the worth gained by the coalition composed of all the players. A value is a solution concept that suggests the outcome of the negotiation among players. Among the many existing alternative solution concepts, it is prevalent the Shapley value solution concept. Its popularity also derives from the property of being a fair allocation, where a set of desirable properties or axioms describes fairness. The axioms characterize the Shapley value in the sense that it is the unique value satisfying those properties; at the same time, the axioms allow deriving a simple explicit combinatorial formula to compute the Shapley value. In our approach, coalitions are the main subjects of cooperation, instead of single players, and, inspired by the Shapley value, the goal is to derive a fair associated game, i.e. an allocation to coalitions satisfying a set of desirable properties. The methodology is based on using the Hodge decomposition of the simplicial complex associated with the partially ordered set of the subsets of the set of players ordered by inclusion. We will motivate this investigation within the framework of Explainable Artificial Intelligence (XAI). Joint work with Antonio Mastropietro (Eurecom - F)
We encourage in-person partecipation. Should you be unable to come, here is the link to the event on Teams:
https://teams.microsoft.com/l/meetup-join/19%3arfsL73KX-fw86y1YnXq2nk5VnZFwP...
The seminar is part of the Excellence Project Math@TOV. You can find a schedule with the next events at the following link: https://www.mat.uniroma2.it/~rds/events.php .
Dear all,
On Wednesday, March 29th, at 11h00 (change of usual time!) in Aula Dal Passo at Roma Tor Vergata, RoMaDS (https://www.mat.uniroma2.it/~rds/about.php) will host Francesco Grotto (Università di Pisa) with the seminar
"Random Waves, Oscillatory Integrals and Random Walks"
Abstract: We consider Random Wave models, that is probability distributions on Laplacian eigenfunctions, on homogeneous spaces such as Euclidean spaces, Hyperspheres and Hyperbolic spaces. Determining the asymptotic behavior at large frequency of functionals of these objects is complicated by the oscillatory nature of their covariance functions. Oscillatory integrals appearing in evaluating variances of said functionals turn out to be closely related to integral representations of densities of uniform random walks in Euclidean spaces, and this connection can be exploited to deduce results on fluctuations of integral functionals of Random Waves.
We encourage in-person partecipation. Should you be unable to come, here is the link to the event on Teams https://teams.microsoft.com/l/meetup-join/19:rfsL73KX-fw86y1YnXq2nk5VnZFwPU-iIPEmqet8NCg1@thread.tacv2/1679488977193?context=%7B%22Tid%22:%2224c5be2a-d764-40c5-9975-82d08ae47d0e%22,%22Oid%22:%22650fc4a8-4cec-4bd2-87bc-90d134074fe6%22%7D.
The seminar is part of the Excellence Project MatMod@TOV.
You can find a schedule with the next events at the following link: https://www.mat.uniroma2.it/~rds/events.php.
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Michele Salvi -
salvi