This paper presents a flexible deep learning strategy that tackles decentralized optimization tasks in multi-tier networks where wireless nodes are deployed in a hierarchical structure. Practical multi-tier networks have arbitrary node populations as well as their backhaul connections. Thus, node operations in the multi-tier network request versatile inference rules for arbitrary network configurations. To this end, we present a tree-based learning strategy which transforms the multi-tier network optimization into a collaborative inference process over random trees. For the decentralized structure, each node in a tree is equipped with dedicated deep neural network (DNN) modules. A group of these component DNNs builds a tree deep neural network (TNN) where forward pass calculations define the node interaction policy. The TNN is carefully designed such that it can be universally applied to random trees. The training mechanism is developed to involve a number of random tree instances so that the TNN can be generalized to arbitrary network configurations. As a consequence, the TNN can scale up with a large number of nodes which requires only a single training process. The scalability of the proposed framework is validated for various multi-tier network optimization problems. Numerical results demonstrate the effectiveness of the TNN over existing approaches.
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Kim et al. (2024) studied this question.
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