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Towards Optimal Power Control via Ensembling Deep Neural Networks (1807.10025v2)

Published 26 Jul 2018 in eess.SP, cs.IT, math.IT, and stat.ML

Abstract: A deep neural network (DNN) based power control method is proposed, which aims at solving the non-convex optimization problem of maximizing the sum rate of a multi-user interference channel. Towards this end, we first present PCNet, which is a multi-layer fully connected neural network that is specifically designed for the power control problem. PCNet takes the channel coefficients as input and outputs the transmit power of all users. A key challenge in training a DNN for the power control problem is the lack of ground truth, i.e., the optimal power allocation is unknown. To address this issue, PCNet leverages the unsupervised learning strategy and directly maximizes the sum rate in the training phase. Observing that a single PCNet does not globally outperform the existing solutions, we further propose ePCNet, a network ensemble with multiple PCNets trained independently. Simulation results show that for the standard symmetric multi-user Gaussian interference channel, ePCNet can outperform all state-of-the-art power control methods by 1.2%-4.6% under a variety of system configurations. Furthermore, the performance improvement of ePCNet comes with a reduced computational complexity.

Citations (210)

Summary

  • The paper introduces PCNet, an unsupervised deep neural network that directly maximizes sum rate in multi-user interference channels.
  • The paper enhances power control by incorporating noise power in PCNet+, improving adaptability across varying channel conditions.
  • The paper demonstrates that the ensemble method ePCNet achieves superior sum-rate performance with reduced computational complexity compared to traditional solutions.

Towards Optimal Power Control via Ensembling Deep Neural Networks

The paper "Towards Optimal Power Control via Ensembling Deep Neural Networks" by Fei Liang, Cong Shen, Wei Yu, and Feng Wu presents an advanced approach to address the power control problem in wireless communication systems. The paper focuses on maximizing the sum rate for a multi-user interference channel, a prominent challenge due to the non-convex and NP-hard nature of the associated optimization problem. Traditional methods often grapple with these issues, employing exhaustive searches or approximations that may not scale efficiently with an increasing number of users.

Proposed Approach

The authors introduce PCNet, a deep neural network (DNN) tailored specifically for power control. Recognizing the absence of ground truth for optimal power settings, PCNet leverages an unsupervised learning approach that directly targets sum-rate maximization during training. This represents a shift from traditional supervised learning approaches that rely on sub-optimal baseline solutions such as WMMSE.

To enhance adaptation to varying noise conditions, the researchers develop PCNet+, which incorporates noise power explicitly as an input. This modification boosts the network's ability to generalize across different noise levels without retraining for each specific condition.

Further, acknowledging that a single DNN might not outperform all existing methods across all scenarios, the authors propose ePCNet—a network ensemble consisting of multiple independent PCNets. Each PCNet in the ensemble is trained separately, and the ensemble dynamically selects the optimal power profile based on maximal achievable sum rate for a given channel realization. This ensemble approach not only improves performance over individual models but also maintains a lower computational complexity than traditional methods like WMMSE and RR.

Key Findings

Simulation results are presented for symmetric K-user Gaussian interference channels to validate the proposed methods. Key outcomes indicate that ePCNet often surpasses existing state-of-the-art solutions in terms of sum-rate performance across various system configurations. Notably, ePCNet achieves this performance advantage while maintaining reduced operational complexity, rendering it particularly effective in high-user environments where traditional techniques falter.

Implications and Future Directions

The theoretical and practical implications of this work are significant. The use of DNNs for non-convex optimization in communication systems opens possibilities for tackling other complex problems associated with resource allocation and network optimization. The shift towards data-driven approaches such as PCNet and ePCNet reduces reliance on model-based heuristics, which traditionally involve intricate analytical derivations and approximations.

A pivotal aspect of future exploration involves enhancing the generalization capabilities of such DNN frameworks to accommodate variant system parameters such as user count and channel conditions, which were fixed in the paper. Moreover, the deployment of these solutions in real-world systems necessitates consideration of channel estimation errors and their impact on model performance.

In conclusion, this paper significantly advances the field of communication systems by proposing a robust, learning-based approach for power control that surpasses traditional expert-designed methods in efficiency and effectiveness. The integration of deep learning techniques into power control strategies introduces a promising frontier for improving interference management and overall network performance in increasingly dense communication environments.