Title
Distributed stochastic optimization via matrix exponential learning.
Abstract
In this paper, we investigate a distributed learning scheme for a broad class of stochastic optimization problems and games that arise in signal processing and wireless communications. The proposed algorithm relies on the method of matrix exponential learning (MXL) and only requires locally computable gradient observations that are possibly imperfect. To analyze it, we introduce the notion of a stable Nash equilibrium and we show that the algorithm is globally convergent to such equilibria—or locally convergent when an equilibrium is only locally stable. To complement our convergence analysis, we also derive explicit bounds for the algorithm's convergence speed and we test it in realistic multicarrier/multiple-antenna wireless scenarios where several users seek to maximize their energy efficiency. Our results show that learning allows users to attain a net increase between $100\\%$ and $500\\%$ in energy efficiency, even under very high uncertainty.
Year
DOI
Venue
2017
10.1109/TSP.2017.2656847
IEEE Trans. Signal Processing
Keywords
DocType
Volume
Convergence,Signal processing algorithms,Optimization,Games,MIMO,Wireless communication,Uncertainty
Journal
abs/1606.01190
Issue
ISSN
Citations 
9
1053-587X
3
PageRank 
References 
Authors
0.41
0
4
Name
Order
Citations
PageRank
Panayotis Mertikopoulos125843.71
Elena-Veronica Belmega215919.91
Romain Negrel3333.42
L. Sanguinetti4137879.34