5 citations · 21 across the 23 of their papers we have counts for
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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…
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…
Structural Balance via Gradient Flows over Signed Graphs
Pedro Cisneros-Velarde, Noah E. Friedkin, Anton V. Proskurnikov +1
Structural balance is a classic property of signed graphs satisfying Heider's seminal axioms. Mathematical sociologists have studied balance theory since its inception in the 1040s…