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Activation functions (AFs) are crucial components of deep neural networks (DNNs), having a significant impact on their performance. An activation function in a DNN is typically a smooth, nonlinear function that transforms an input signal…

Machine Learning · Computer Science 2023-10-13 Stamatis Mastromichalakis

In the era of Deep Neural Network based solutions for a variety of real-life tasks, having a compact and energy-efficient deployable model has become fairly important. Most of the existing deep architectures use Rectifier Linear Unit (ReLU)…

Machine Learning · Computer Science 2022-06-02 Nancy Nayak , Sheetal Kalyani

Deep neural networks, particularly those employing Rectified Linear Units (ReLU), are often perceived as complex, high-dimensional, non-linear systems. This complexity poses a significant challenge to understanding their internal learning…

Machine Learning · Computer Science 2025-11-11 Longqing Ye

The choice of activation function in deep networks has a significant effect on the training dynamics and task performance. At present, the most effective and widely-used activation function is ReLU. However, because of the non-zero mean,…

Computer Vision and Pattern Recognition · Computer Science 2020-03-03 Yuan Zhou , Dandan Li , Shuwei Huo , Sun-Yuan Kung

In this paper, it is demonstrated through a case study that multilayer feedforward neural networks activated by ReLU functions can in principle be trained iteratively with Mixed Integer Linear Programs (MILPs) as follows. Weights are…

Machine Learning · Computer Science 2021-04-12 Steffen Goebbels

As deep learning systems are widely adopted in safety- and security-critical applications, such as autonomous vehicles, banking systems, etc., malicious faults and attacks become a tremendous concern, which potentially could lead to…

Cryptography and Security · Computer Science 2018-10-02 Jakub Breier , Xiaolu Hou , Dirmanto Jap , Lei Ma , Shivam Bhasin , Yang Liu

Activation functions introduce nonlinearity into deep neural networks. Most popular activation functions allow positive values to pass through while blocking or suppressing negative values. From the idea that positive values and negative…

Neural and Evolutionary Computing · Computer Science 2024-07-30 Junjia Chen , Zhibin Pan

Convolutional neural networks have been successful in solving many socially important and economically significant problems. This ability to learn complex high-dimensional functions hierarchically can be attributed to the use of nonlinear…

Machine Learning · Computer Science 2025-04-15 Mathew Mithra Noel , Arunkumar L , Advait Trivedi , Praneet Dutta

The choice of activation function plays a critical role in neural networks, yet most architectures still rely on fixed, uniform activation functions across all neurons. We introduce SmartMixed, a two-phase training strategy that allows…

Machine Learning · Computer Science 2025-11-03 Amin Omidvar

Activation functions are fundamental to deep neural networks, governing gradient flow, optimization stability, and representational capacity. Within historic deep architectures, while ReLU has been the dominant choice for the activation…

Machine Learning · Computer Science 2026-03-10 Mingi Kang , Zai Yang , Jeova Farias Sales Rocha Neto

A CORDIC-based configuration for the design of Activation Functions (AF) was previously suggested to accelerate ASIC hardware design for resource-constrained systems by providing functional reconfigurability. Since its introduction, this…

Hardware Architecture · Computer Science 2026-02-13 Omkar Kokane , Gopal Raut , Salim Ullah , Mukul Lokhande , Adam Teman , Akash Kumar , Santosh Kumar Vishvakarma

This paper compares the performance of BiLSTM and CNN+GRU deep learning models for Human Activity Recognition (HAR) on two WiFi-based Channel State Information (CSI) datasets: UT-HAR and NTU-Fi HAR. The findings indicate that the CNN+GRU…

Computer Vision and Pattern Recognition · Computer Science 2025-06-16 Almustapha A. Wakili , Babajide J. Asaju , Woosub Jung

The performance of artificial neural networks (ANNs) is influenced by weight initialization, the nature of activation functions, and their architecture. There is a wide range of activation functions that are traditionally used to train a…

Machine Learning · Statistics 2018-11-30 Saeid Safaei , Vahid Safaei , Solmazi Safaei , Zerotti Woods , Hamid R. Arabnia , Juan B. Gutierrez

The ReLU activation function (AF) has been extensively applied in deep neural networks, in particular Convolutional Neural Networks (CNN), for image classification despite its unresolved dying ReLU problem, which poses challenges to…

Computer Vision and Pattern Recognition · Computer Science 2021-11-05 L. Parisi , D. Neagu , R. Ma , F. Campean

We explore convergence of deep neural networks with the popular ReLU activation function, as the depth of the networks tends to infinity. To this end, we introduce the notion of activation domains and activation matrices of a ReLU network.…

Machine Learning · Computer Science 2023-01-11 Yuesheng Xu , Haizhang Zhang

Inducing and leveraging sparse activations during training and inference is a promising avenue for improving the computational efficiency of deep networks, which is increasingly important as network sizes continue to grow and their…

Machine Learning · Computer Science 2024-02-27 Ilan Price , Nicholas Daultry Ball , Samuel C. H. Lam , Adam C. Jones , Jared Tanner

Activation functions in neural networks are typically selected from a set of empirically validated, commonly used static functions such as ReLU, tanh, or sigmoid. However, by optimizing the shapes of a network's activation functions, we can…

Machine Learning · Computer Science 2025-09-24 William H Patty

Micro expression recognition (MER)is a very challenging task as the expression lives very short in nature and demands feature modeling with the involvement of both spatial and temporal dynamics. Existing MER systems exploit CNN networks to…

Computer Vision and Pattern Recognition · Computer Science 2020-05-19 Monu Verma , Santosh Kumar Vipparthi , Girdhari Singh

Effective activation functions introduce non-linear transformations, providing neural networks with stronger fitting capa-bilities, which help them better adapt to real data distributions. Huawei Noah's Lab believes that dynamic activation…

Computer Vision and Pattern Recognition · Computer Science 2024-09-16 Chuan Feng , Xi Lin , Shiping Zhu , Hongkang Shi , Maojie Tang , Hua Huang

In this paper, we investigate the relationship between deep neural networks (DNN) with rectified linear unit (ReLU) function as the activation function and continuous piecewise linear (CPWL) functions, especially CPWL functions from the…

Numerical Analysis · Mathematics 2020-06-02 Juncai He , Lin Li , Jinchao Xu , Chunyue Zheng
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