Efficient Mapping of ANNs on Hypercube Massively Parallel Machines
This paper presents a technique for mapping artificial neural networks (ANNs) on hypercube massively parallel machines. The paper starts by synthesizing a parallel structure, the mesh-of-appendixed-trees (MAT), for fast ANN implementation. Then, it presents a recursive procedure to embed the MAT structure into the hypercube topology. This procedure is used as the basis for an efficient mapping of ANN computations on hypercube systems. Both the multilayer feedforward with backpropagation (FFBP) and the Hopfield ANN models are considered. Algorithms to implement the recall and the training phases of the FFBP model as well as the recall phase of the Hopfield model are provided. The major advantage of our technique is high performance. Unlike the other techniques presented in the literature which require O(n) time, where N is the size of the largest layer, our implementation requires only O(log N) time. Moreover, it allows pipelining of more than one input pattern and thus further improves the performance. >