Learning of Phase-Amplitude-Type Complex-Valued Neural Networks with Application to Signal Coherence
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Springer International Publishing AG 2017. This paper presents a limited-memory BFGS (L-BFGS) based learning algorithm for complex-valued neural networks (CVNNs) with phase-amplitude-type activation functions, which can be applied to deal with coherent signals effectively. The performance of the proposed L-BFGS algorithm is compared with traditional complex-valued stochastic gradient descent method on the tasks of wave-related signal processing with various degrees of coherence. The experimental results demonstrate that both faster convergence speed and smaller training errors are achieved by our algorithm. Furthermore, the phase outputs of the CVNNs trained by this algorithm are more stable when white Gaussian noises are added to the input signals.