5 citations · 21 across the 23 of their papers we have counts for
6 papers · 1 filter
Distributed Wasserstein Barycenters via Displacement Interpolation
Pedro Cisneros-Velarde, Francesco Bullo
Consider a multi-agent system whereby each agent has an initial probability measure. In this paper, we propose a distributed algorithm based upon stochastic, asynchronous and pairw…
Contraction Theory for Dynamical Systems on Hilbert Spaces
Pedro Cisneros-Velarde, Saber Jafarpour, Francesco Bullo
Contraction theory for dynamical systems on Euclidean spaces is well-established. For contractive (resp. semi-contractive) systems, the distance (resp. semi-distance) between any t…
Multi-group SIS Epidemics with Simplicial and Higher-Order Interactions
Pedro Cisneros-Velarde, Francesco Bullo
This paper analyzes a Susceptible-Infected-Susceptible (SIS) model of epidemic propagation over hypergraphs and, motivated by an important special case, we refer to the model as to…
Weak and Semi-Contraction for Network Systems and Diffusively-Coupled Oscillators
Saber Jafarpour, Pedro Cisneros-Velarde, Francesco Bullo
We develop two generalizations of contraction theory, namely, semi-contraction and weak-contraction theory. First, using the notion of semi-norm, we propose a geometric framework f…
Distributed and time-varying primal-dual dynamics via contraction analysis
Pedro Cisneros-Velarde, Saber Jafarpour, Francesco Bullo
In this note, we provide an overarching analysis of primal-dual dynamics associated to linear equality-constrained optimization problems using contraction analysis. For the well-kn…
A Network Formation Game for the Emergence of Hierarchies
Pedro Cisneros-Velarde, Francesco Bullo
We propose a novel network formation game that explains the emergence of various hierarchical structures in groups where self-interested or utility-maximizing individuals decide to…