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ErfReLU: adaptive activation function for deep neural network

delete2024-05-29
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AI
A
Ashish Rajanand
P
Pradeep Singh *
DOI:10.1007/s10044-024-01277-wdelete
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Abstract

Abstract

En 中文
Recent research has found that the activation function (AF) plays a significant role in introducing non-linearity to enhance the performance of deep learning networks. Researchers recently started developing activation functions that can be trained throughout the learning process, known as trainable, or adaptive activation functions (AAF). Research on AAF that enhances the outcomes is still in its early stages. In this paper, a novel activation function 'ErfReLU' has been developed based on the erf function and ReLU. This function leverages the advantages of both the Rectified Linear Unit (ReLU) and the error function (erf). A comprehensive overview of activation functions like Sigmoid, ReLU, Tanh, and their properties have been briefly explained. Adaptive activation functions like Tanhsoft1, Tanhsoft2, Tanhsoft3, TanhLU, SAAF, ErfAct, Pserf, Smish, and Serf is also presented. Lastly, comparative performance analysis of 9 trainable activation functions namely Tanhsoft1, Tanhsoft2, Tanhsoft3, TanhLU, SAAF, ErfAct, Pserf, Smish, and Serf with the proposed one has been performed. These activation functions are used in MobileNet, VGG16, and ResNet models and their performance is evaluated on benchmark datasets such as CIFAR-10, MNIST, and FMNIST.
Keywords:
Activation function
Deep learning
Image classification

Journal

Pattern Analysis and Applications cover
Pattern Analysis and Applications
IF:
2
Papers:
1.9K
Citations:
1.9K

Organization

N
National Institute of Technology Raipur
Scholars:
518
Papers: 588
Citations: 1.1K
N
national institute of technology (nit system)
Scholars:
4.0W
Papers: 3.7W
Citations: 31