Distributed Learning in Noisy-Potential Games for Resource Allocation in D2D Networks

Abstract : We propose a distributed learning algorithm for the resource allocation problem in Device-to-Device (D2D) wireless networks that takes into account the throughput estimation noise. We first formulate a stochastic optimization problem with the objective of maximizing the generalized alpha fair function of the network. In order to solve it distributively, we then define and use the framework of noisy-potential games. In this context, we propose a distributed Binary Log-linear Learning Algorithm (BLLA) that converges to a Nash Equilibrium of the resource allocation game, which is also an optimal resource allocation for the optimization problem. A key enabler for the analysis of the convergence are the proposed rules for computation of resistance of trees of perturbed Markov chains. The convergence of BLLA is proved for bounded and unbounded noise, with fixed and decreasing temperature parameter. A sufficient number of estimation samples is also provided that guarantees the convergence to an optimal state. At last, we assess the performance of BLLA by extensive simulations by considering both bounded and unbounded noise cases and we show that BLLA achieves higher sum data rate compared to the state-of-the-art.
Document type :
Journal articles
Complete list of metadatas

Cited literature [36 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02315135
Contributor : Marceau Coupechoux <>
Submitted on : Friday, December 20, 2019 - 11:29:39 AM
Last modification on : Friday, January 10, 2020 - 3:42:23 PM

File

tmc19.pdf
Files produced by the author(s)

Identifiers

Citation

Mohammed Shabbir Ali, Pierre Coucheney, Marceau Coupechoux. Distributed Learning in Noisy-Potential Games for Resource Allocation in D2D Networks. IEEE Transactions on Mobile Computing, Institute of Electrical and Electronics Engineers, In press, pp.1-18. ⟨10.1109/TMC.2019.2936345⟩. ⟨hal-02315135⟩

Share

Metrics

Record views

34

Files downloads

17