146 citations · 341 across the 9 of their papers we have counts for
9 papers
DSA: Decentralized Double Stochastic Averaging Gradient Algorithm
Aryan Mokhtari, Alejandro Ribeiro
This paper considers convex optimization problems where nodes of a network have access to summands of a global objective. Each of these local objectives is further assumed to be an…
Network Newton-Part II: Convergence Rate and Implementation
Aryan Mokhtari, Qing Ling, Alejandro Ribeiro
The use of network Newton methods for the decentralized optimization of a sum cost distributed through agents of a network is considered. Network Newton methods reinterpret distrib…
Network Newton-Part I: Algorithm and Convergence
Aryan Mokhtari, Qing Ling, Alejandro Ribeiro
We study the problem of minimizing 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…
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…