938 citations · 1.4k across the 25 of their papers we have counts for
27 papers
Statistical models as natural transformations: meaningfulness, coherence and priors as states in Markov categories
Francesco Vaccarino
We show that a statistical model in the sense of McCullagh, in the form given by Brøns, is a natural transformation between two functors from the category of designs to the Kleisli…
Higher-order Laplacian Renormalization
Marco Nurisso, Marta Morandini, Maxime Lucas +3
We propose a cross-order Laplacian renormalization group (X-LRG) scheme for arbitrary higher-order networks. The renormalization group is a pillar of the theory of scaling, scale-i…
A unified framework for Simplicial Kuramoto models
Marco Nurisso, Alexis Arnaudon, Maxime Lucas +4
Simplicial Kuramoto models have emerged as a diverse and intriguing class of models describing oscillators on simplices rather than nodes. In this paper, we present a unified frame…
The Shapley-Hodge Associated Game
Antonio Mastropietro, Francesco Vaccarino
In cooperative game theory, associated games allow for providing meaningful characterizations of solution concepts. Moreover, generalized values allow computing an influence or pow…
The physics of higher-order interactions in complex systems
Federico Battiston, Enrico Amico, Alain Barrat +11
Complex networks have become the main paradigm for modelling the dynamics of interacting systems. However, networks are intrinsically limited to describing pairwise interactions, w…
Parallel computation of interval bases for persistence module decomposition
Alessandro De Gregorio, Marco Guerra, Sara Scaramuccia +1
A persistence module , with coefficients in a field , is a finite-dimensional linear representation of an equioriented quiver of type or, equivalently, a grade…