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TanhSoft -- a family of activation functions combining Tanh and Softplus

2020/09/08 by Koushik Biswas, Sandeep Kumar, Biswas, Koushik +5
Computer Science · #Advanced Neural Network Applications #Domain Adaptation and Few-Shot Learning #Adversarial Robustness in Machine Learning

paper · pdf · doi:10.48550/arxiv.2009.03863

Abstract

Deep learning at its core, contains functions that are composition of a linear transformation with a non-linear function known as activation function. In past few years, there is an increasing interest in construction of novel activation functions resulting in better learning. In this work, we propose a family of novel activation functions, namely TanhSoft, with four undetermined hyper-parameters of the form tanh(αx+βeγx)ln(δ+ex) and tune these hyper-parameters to obtain activation functions which are shown to outperform several well known activation functions. For instance, replacing ReLU with xtanh(0.6ex)improves top-1 classification accuracy on CIFAR-10 by 0.46% for DenseNet-169 and 0.7% for Inception-v3 while with tanh(0.87x)ln(1 +ex) top-1 classification accuracy on CIFAR-100 improves by 1.24% for DenseNet-169 and 2.57% for SimpleNet model.

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