Adaptive-Tanh ReLU (AHReLU): A Novel Activation Function for EnhancedConvolutional Neural Network Performance

In this work, we propose a novel activation function, AHReLU, which demonstrates superior performance compared to traditional activation functions such as ReLU, GELU, and Mish. Replacing ReLU with AHReLU in the VGG-16 model improved Top-1 classification accuracy by 0.79%, reaching97.57%. In the CIFAR-100 dataset, AHReLU outperformed ReLU by 0.32%, achieving a Top-1 accuracy of 59.82%. For the SVHN dataset, AHReLU achieved a mean accuracy of 95.38%, slightly surpassing ReLU’s performance of 95.36%. In machine translation tasks, specifically on the WMT 2014 dataset, AHReLU achieved a BLEU score of 27.5, which is 0.2 points higher than ReLU and 1.2 points higher than GELU. These results highlight that AHReLU, with its learnable parameters, outperforms traditional activation functions, leading to better model performance across various datasets and tasks. The introduction of learnable parameters into the activation function is key to the observed improvements, making AHReLU a promising candidate to replace widely used activation functions such as ReLU, GELU, and Mish in deep learning models.

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Publication Details

Journal
Punjab University Journal of Mathematics
Published
2025-11-13
DOI
https://doi.org/10.52280/pujm.2025.57(05)06
Primary Topic
Advanced Neural Network Applications
Type
article
Field-Weighted Citation Impact
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article

Adaptive-Tanh ReLU (AHReLU): A Novel Activation Function for EnhancedConvolutional Neural Network Performance

Punjab University Journal of Mathematics
Advanced Neural Network Applications
article

Adaptive-Tanh ReLU (AHReLU): A Novel Activation Function for EnhancedConvolutional Neural Network Performance

article en

Abstract

In this work, we propose a novel activation function, AHReLU, which demonstrates superior performance compared to traditional activation functions such as ReLU, GELU, and Mish. Replacing ReLU with AHReLU in the VGG-16 model improved Top-1 classification accuracy by 0.79%, reaching97.57%. In the CIFAR-100 dataset, AHReLU outperformed ReLU by 0.32%, achieving a Top-1 accuracy of 59.82%. For the SVHN dataset, AHReLU achieved a mean accuracy of 95.38%, slightly surpassing ReLU’s performance of 95.36%. In machine translation tasks, specifically on the WMT 2014 dataset, AHReLU achieved a BLEU score of 27.5, which is 0.2 points higher than ReLU and 1.2 points higher than GELU. These results highlight that AHReLU, with its learnable parameters, outperforms traditional activation functions, leading to better model performance across various datasets and tasks. The introduction of learnable parameters into the activation function is key to the observed improvements, making AHReLU a promising candidate to replace widely used activation functions such as ReLU, GELU, and Mish in deep learning models.

Punjab University Journal of Mathematics
Government College University, Faisalabad (PK), Government College Women University Faisalabad (PK)
Openalex Percentile: Top 41%
Advanced Neural Network Applications
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