1. What are the contributions mentioned in the paper "Desynchronization for decentralized medium access control based on gauss-seidel iterations" ?
This problem arises in a shared medium communication and is of importance to achieve a fair multiple access schedule at the Medium Access Control ( MAC ) layer in the context of Wireless Sensor Networks ( WSNs ).. In this paper, the authors investigate the convergence rate of different optimization algorithms and the potential benefits of addressing the problem as a solution of a set of linear equations.. Their approach also poses an interesting path for future research given the benefits of using other more advanced methods to solve systems of linear equations.. Through simulations, the authors provide evidence to support future research on optimizing the parameter selection and also on categorizing the conditions under which one solution might be better in detriment of another.. Initial results suggest that the Gauss-Seidel method can yield a faster convergence than previously proposed methods that employ a version of the Nesterov ’ s method.
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2. What are the future works mentioned in the paper "Desynchronization for decentralized medium access control based on gauss-seidel iterations" ?
The theoretical results and simulations presented in this paper suggest that further research is needed to optimize the convergence rate of all the methods and to possibly categorize under which assumptions it is beneficial to use one in detriment of another.. A last direction of future work is to use the methods proposed herein to address the multi-channel case of the desynchronization problem.. Moreover, the contribution of using iterative solvers for linear equations suggests that one should consider other algorithms that may bring additional gains in performance.
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