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Activation in deep neural networks is fundamental to achieving non-linear mappings. Traditional studies mainly focus on finding fixed activations for a particular set of learning tasks or model architectures. The research on flexible…

Neural and Evolutionary Computing · Computer Science 2020-08-20 Renlong Jie , Junbin Gao , Andrey Vasnev , Min-ngoc Tran

Activation function is crucial to the recent successes of deep neural networks. In this paper, we first propose a new activation function, Multiple Parametric Exponential Linear Units (MPELU), aiming to generalize and unify the rectified…

Computer Vision and Pattern Recognition · Computer Science 2017-01-18 Yang Li , Chunxiao Fan , Yong Li , Qiong Wu , Yue Ming

The most widely used activation functions in current deep feed-forward neural networks are rectified linear units (ReLU), and many alternatives have been successfully applied, as well. However, none of the alternatives have managed to…

Machine Learning · Computer Science 2018-06-27 Leon René Sütfeld , Flemming Brieger , Holger Finger , Sonja Füllhase , Gordon Pipa

Deep learning is currently extensively employed across a range of research domains. The continuous advancements in deep learning techniques contribute to solving intricate challenges. Activation functions (AF) are fundamental components…

Machine Learning · Computer Science 2024-06-03 Asmaa Benchama , Khalid Zebbara

In recent years, neural networks have enjoyed a renaissance as function approximators in reinforcement learning. Two decades after Tesauro's TD-Gammon achieved near top-level human performance in backgammon, the deep reinforcement learning…

Machine Learning · Computer Science 2017-11-03 Stefan Elfwing , Eiji Uchibe , Kenji Doya

Tremendous advances in image restoration tasks such as denoising and super-resolution have been achieved using neural networks. Such approaches generally employ very deep architectures, large number of parameters, large receptive fields and…

Computer Vision and Pattern Recognition · Computer Science 2018-07-31 Shuhang Gu , Radu Timofte , Luc Van Gool

Activation function has a significant impact on the dynamics, convergence, and performance of deep neural networks. The search for a consistent and high-performing activation function has always been a pursuit during deep learning model…

Computer Vision and Pattern Recognition · Computer Science 2024-09-17 Abdur Rahman , Lu He , Haifeng Wang

Selecting the most suitable activation function is a critical factor in the effectiveness of deep learning models, as it influences their learning capacity, stability, and computational efficiency. In recent years, the Gaussian Error Linear…

Machine Learning · Computer Science 2023-08-02 Minhyeok Lee

The widespread application of artificial neural networks has prompted researchers to experiment with FPGA and customized ASIC designs to speed up their computation. These implementation efforts have generally focused on weight…

Neural and Evolutionary Computing · Computer Science 2018-10-23 Tao Yang , Yadong Wei , Zhijun Tu , Haolun Zeng , Michel A. Kinsy , Nanning Zheng , Pengju Ren

In this study, we propose a new activation function, called Adaptive Smooth Activation Unit (ASAU), tailored for optimized gradient propagation, thereby enhancing the proficiency of convolutional networks in medical image analysis. We apply…

Neural and Evolutionary Computing · Computer Science 2023-12-20 Koushik Biswas , Debesh Jha , Nikhil Kumar Tomar , Gorkem Durak , Alpay Medetalibeyoglu , Matthew Antalek , Yury Velichko , Daniela Ladner , Amir Bohrani , Ulas Bagci

This document proposes a parametric activation function (ac.f.) aimed at improving multidimensional nonlinear data regression. It is a established knowledge that nonlinear ac.f's are required for learning nonlinear datasets. This work shows…

Machine Learning · Computer Science 2025-10-03 Enda D. V. Bigarella

We present a novel approach to implementing all-optical Rectified Linear Unit (ReLU) activation functions using compact doubly-resonant cavities with dimensions of approximately $10\,\mu\mathrm{m}$. Our design leverages $\chi^{(2)}$…

Optics · Physics 2025-04-29 Amirreza Ahmadnejad , Mohmmad Mehrdad Asadi , Somayyeh Koohi

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

The efficacy of deep neural networks is heavily reliant on the design of non-linear activation functions, yet existing approaches often struggle to balance optimization stability with computational efficiency. While piecewise linear…

Artificial Intelligence · Computer Science 2026-05-05 Wentao Zhang , Yutong Zhang , Yifan Zhu , Wentao Mo

The most scalable approaches to certifying neural network robustness depend on computing sound linear lower and upper bounds for the network's activation functions. Current approaches are limited in that the linear bounds must be…

Machine Learning · Computer Science 2022-02-01 Brandon Paulsen , Chao Wang

To enhance the nonlinearity of neural networks and increase their mapping abilities between the inputs and response variables, activation functions play a crucial role to model more complex relationships and patterns in the data. In this…

Computer Vision and Pattern Recognition · Computer Science 2021-12-20 Haigen Hu , Aizhu Liu , Qiu Guan , Xiaoxin Li , Shengyong Chen , Qianwei Zhou

An activation function has a significant impact on the efficiency and robustness of the neural networks. As an alternative, we evolved a cutting-edge non-monotonic activation function, Negative Stimulated Hybrid Activation Function (Nish).…

Machine Learning · Computer Science 2022-12-20 Yildiray Anagun , Sahin Isik

`Biologically inspired' activation functions, such as the logistic sigmoid, have been instrumental in the historical advancement of machine learning. However in the field of deep learning, they have been largely displaced by rectified…

Neural and Evolutionary Computing · Computer Science 2018-05-21 Gardave S Bhumbra

Neural networks have shown tremendous growth in recent years to solve numerous problems. Various types of neural networks have been introduced to deal with different types of problems. However, the main goal of any neural network is to…

Machine Learning · Computer Science 2022-06-29 Shiv Ram Dubey , Satish Kumar Singh , Bidyut Baran Chaudhuri

In this article we study high-dimensional approximation capacities of shallow and deep artificial neural networks (ANNs) with the rectified linear unit (ReLU) activation. In particular, it is a key contribution of this work to reveal that…

Numerical Analysis · Mathematics 2023-01-23 Lukas Gonon , Robin Graeber , Arnulf Jentzen