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—The paper examines the learning mechanism of adaptive agents over weakly-connected graphs and reveals an interesting behavior on how information flows through such topologies. The results clarify how asymmetries in the exchange of data can mask local information at certain agents and make them totally dependent on other agents. A leader-follower… (More)

This work examines the performance of stochastic sub-gradient learning strategies under weaker conditions than usually considered in the literature. The conditions are shown to be automatically satisfied by several important cases of interest including the construction of Linear-SVM, LASSO, and Total-Variation denoising formulations. In comparison, these… (More)

—In this paper, we study diffusion social learning over weakly-connected graphs. We show that the asymmetric flow of information hinders the learning abilities of certain agents regardless of their local observations. Under some circumstances that we clarify in this work, a scenario of total influence (or " mind-control ") arises where a set of influential… (More)

—The stochastic dual coordinate-ascent (S-DCA) technique is a useful alternative to the traditional stochastic gradient-descent algorithm for solving large-scale optimization problems due to its scalability to large data sets and strong theoretical guarantees. However, the available S-DCA formulation is limited to finite sample sizes and relies on… (More)

—This work examines the mean-square error performance of diffusion stochastic algorithms under a generalized coordinate-descent scheme. In this setting, the adaptation step by each agent is limited to a random subset of the coordinates of its stochastic gradient vector. The selection of coordinates varies randomly from iteration to iteration and from agent… (More)

The article examines in some detail the convergence rate and mean-square-error performance of momentum stochastic gradient methods in the constant step-size case and slow adaptation regime. The results establish that momentum methods are equivalent to the standard stochastic gradient method with a re-scaled (larger) step-size value. The size of the… (More)

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