An efficient semi-sigmoidal non-linear activation function approach for deep neural networks

A non-linear activation function is one of the key contributing factors to the success of Deep Learning (DL). Since the revival of DL takes place in 2012, Rectified Linear Unit (ReLU) has been regarded as a de facto standard for many DL models by the community. Despite its popularity, however, Re...

Full description

Bibliographic Details
Main Author: Chieng, Hock Hung
Format: Thesis
Language:English
English
English
Published: 2022
Subjects:
Online Access:http://eprints.uthm.edu.my/8409/1/24p%20CHIENG%20HOCK%20HUNG.pdf
http://eprints.uthm.edu.my/8409/2/CHIENG%20HOCK%20HUNG%20COPYRIGHT%20DECLARATION.pdf
http://eprints.uthm.edu.my/8409/3/CHIENG%20HOCK%20HUNG%20WATERMARK.pdf
_version_ 1796869759138004992
author Chieng, Hock Hung
author_facet Chieng, Hock Hung
author_sort Chieng, Hock Hung
collection UTHM
description A non-linear activation function is one of the key contributing factors to the success of Deep Learning (DL). Since the revival of DL takes place in 2012, Rectified Linear Unit (ReLU) has been regarded as a de facto standard for many DL models by the community. Despite its popularity, however, ReLU contains several shortcomings that could result in inefficient learning of the DL models. These shortcomings are: 1) the inherent negative cancellation property in ReLU tends to remove all negative inputs and causes massive information lost to the network; 2) the derivative of ReLU potentially causes the occurrence of dead neurons problem to the networks; 3) the mean activation generated by ReLU is highly positive and lead to bias shift effect in the network layers; 4) the inherent multilinear structure of ReLU restricts the nonlinear capability of the networks; 5) the predefined nature of ReLU limits the flexibility of the networks. To address these shortcomings, this study proposed a new variant of activation function based on the Semi-sigmoidal (Sig) approach. Based on this approach, three variants of activation functions are introduced, namely, Shifted Semisigmoidal (SSig), Adaptive Shifted Semi-sigmoidal (ASSig), and Bi-directional Adaptive Shifted Semi-sigmoidal (BiASSig). The proposed activation functions were tested against the ReLU (baseline) and state-of-the-art methods using eight Deep Neural Networks (DNNs) on seven benchmark image datasets. Further, Adaptive Moment Estimation (ADAM) and Stochastic Gradient Descent (SGD) were selected as optimizers to train the DNNs. The baseline comparison score and mean rank were used to consolidate and analyse the experimental results effectively. The experimental results in terms of the overall baseline comparison score shown that SSig, ASSig, and BiASSig obtained the score of 79, 87, and 86 out of 112, respectively, which achieving outstanding performance than ReLU in more than 70% of the cases. In terms of overall mean rank (OMR), ReLU ranked at tenth (10th), whereas SSig, ASSig, and BiASSig ranked at fifth (5th), first (1st), and second (2nd), showing remarkable performance than ReLU and other comparing methods.
first_indexed 2024-03-05T21:59:34Z
format Thesis
id uthm.eprints-8409
institution Universiti Tun Hussein Onn Malaysia
language English
English
English
last_indexed 2024-03-05T21:59:34Z
publishDate 2022
record_format dspace
spelling uthm.eprints-84092023-02-26T07:06:44Z http://eprints.uthm.edu.my/8409/ An efficient semi-sigmoidal non-linear activation function approach for deep neural networks Chieng, Hock Hung QA76 Computer software A non-linear activation function is one of the key contributing factors to the success of Deep Learning (DL). Since the revival of DL takes place in 2012, Rectified Linear Unit (ReLU) has been regarded as a de facto standard for many DL models by the community. Despite its popularity, however, ReLU contains several shortcomings that could result in inefficient learning of the DL models. These shortcomings are: 1) the inherent negative cancellation property in ReLU tends to remove all negative inputs and causes massive information lost to the network; 2) the derivative of ReLU potentially causes the occurrence of dead neurons problem to the networks; 3) the mean activation generated by ReLU is highly positive and lead to bias shift effect in the network layers; 4) the inherent multilinear structure of ReLU restricts the nonlinear capability of the networks; 5) the predefined nature of ReLU limits the flexibility of the networks. To address these shortcomings, this study proposed a new variant of activation function based on the Semi-sigmoidal (Sig) approach. Based on this approach, three variants of activation functions are introduced, namely, Shifted Semisigmoidal (SSig), Adaptive Shifted Semi-sigmoidal (ASSig), and Bi-directional Adaptive Shifted Semi-sigmoidal (BiASSig). The proposed activation functions were tested against the ReLU (baseline) and state-of-the-art methods using eight Deep Neural Networks (DNNs) on seven benchmark image datasets. Further, Adaptive Moment Estimation (ADAM) and Stochastic Gradient Descent (SGD) were selected as optimizers to train the DNNs. The baseline comparison score and mean rank were used to consolidate and analyse the experimental results effectively. The experimental results in terms of the overall baseline comparison score shown that SSig, ASSig, and BiASSig obtained the score of 79, 87, and 86 out of 112, respectively, which achieving outstanding performance than ReLU in more than 70% of the cases. In terms of overall mean rank (OMR), ReLU ranked at tenth (10th), whereas SSig, ASSig, and BiASSig ranked at fifth (5th), first (1st), and second (2nd), showing remarkable performance than ReLU and other comparing methods. 2022-01 Thesis NonPeerReviewed text en http://eprints.uthm.edu.my/8409/1/24p%20CHIENG%20HOCK%20HUNG.pdf text en http://eprints.uthm.edu.my/8409/2/CHIENG%20HOCK%20HUNG%20COPYRIGHT%20DECLARATION.pdf text en http://eprints.uthm.edu.my/8409/3/CHIENG%20HOCK%20HUNG%20WATERMARK.pdf Chieng, Hock Hung (2022) An efficient semi-sigmoidal non-linear activation function approach for deep neural networks. Doctoral thesis, Universiti Tun Hussein Onn Malaysia.
spellingShingle QA76 Computer software
Chieng, Hock Hung
An efficient semi-sigmoidal non-linear activation function approach for deep neural networks
title An efficient semi-sigmoidal non-linear activation function approach for deep neural networks
title_full An efficient semi-sigmoidal non-linear activation function approach for deep neural networks
title_fullStr An efficient semi-sigmoidal non-linear activation function approach for deep neural networks
title_full_unstemmed An efficient semi-sigmoidal non-linear activation function approach for deep neural networks
title_short An efficient semi-sigmoidal non-linear activation function approach for deep neural networks
title_sort efficient semi sigmoidal non linear activation function approach for deep neural networks
topic QA76 Computer software
url http://eprints.uthm.edu.my/8409/1/24p%20CHIENG%20HOCK%20HUNG.pdf
http://eprints.uthm.edu.my/8409/2/CHIENG%20HOCK%20HUNG%20COPYRIGHT%20DECLARATION.pdf
http://eprints.uthm.edu.my/8409/3/CHIENG%20HOCK%20HUNG%20WATERMARK.pdf
work_keys_str_mv AT chienghockhung anefficientsemisigmoidalnonlinearactivationfunctionapproachfordeepneuralnetworks
AT chienghockhung efficientsemisigmoidalnonlinearactivationfunctionapproachfordeepneuralnetworks