Stable and Transferable Wireless Resource Allocation Policies Via Manifold Neural Networks

Zhiyang Wang; Luana Ruiz; Mark Eisen; Alejandro Ribeiro

ICASSP 2022accepted0 citations

Stable and Transferable Wireless Resource Allocation Policies Via Manifold Neural Networks

Zhiyang Wang, Luana Ruiz, Mark Eisen, Alejandro Ribeiro

Abstract

We consider the problem of resource allocation in large scale wireless networks. When contextualizing wireless network structures as graphs, we can model the limits of very large wireless systems as manifolds. To solve the problem in the machine learning framework, we propose the use of Manifold Neural Networks (MNNs) as a policy parametrization. In this work, we prove the stability of MNN resource allocation policies under the absolute perturbations to the Laplace-Beltrami operator of the manifold, representing system noise and dynamics present in wireless systems. These results establish the use of MNNs in achieving stable and transferable allocation policies for large scale wireless networks. We verify our results in numerical simulations that show superior performance.

BibTeX

@inproceedings{icassp2022_stableandtransfe,
  title = {Stable and Transferable Wireless Resource Allocation Policies Via Manifold Neural Networks},
  author = {Zhiyang Wang and Luana Ruiz and Mark Eisen and Alejandro Ribeiro},
  booktitle = {ICASSP 2022},
  year = {2022}
}