131 citations · 200 across the 27 of their papers we have counts for
5 papers · 1 filter
Network Newton
Aryan Mokhtari, Qing Ling, Alejandro Ribeiro
We consider minimization of a sum of convex objective functions where the components of the objective are available at different nodes of a network and nodes are allowed to only co…
Diffusion and Superposition Distances for Signals Supported on Networks
Santiago Segarra, Weiyu Huang, Alejandro Ribeiro
We introduce the diffusion and superposition distances as two metrics to compare signals supported in the nodes of a network. Both metrics consider the given vectors as initial tem…
Stability and Continuity of Centrality Measures in Weighted Graphs
Santiago Segarra, Alejandro Ribeiro
This paper presents a formal definition of stability for node centrality measures in weighted graphs. It is shown that the commonly used measures of degree, closeness and eigenvect…
Global Convergence of Online Limited Memory BFGS
Aryan Mokhtari, Alejandro Ribeiro
Global convergence of an online (stochastic) limited memory version of the Broyden-Fletcher- Goldfarb-Shanno (BFGS) quasi-Newton method for solving optimization problems with stoch…
Hierarchical Quasi-Clustering Methods for Asymmetric Networks
Gunnar Carlsson, Facundo Mémoli, Alejandro Ribeiro +1
This paper introduces hierarchical quasi-clustering methods, a generalization of hierarchical clustering for asymmetric networks where the output structure preserves the asymmetry…