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Activation functions govern the expressivity and stability of neural networks, yet existing comparisons remain largely heuristic. We propose a rigorous framework for their classification via a nine-dimensional integral signature…

机器学习 · 计算机科学 2025-10-10 Ankur Mali , Lawrence Hall , Jake Williams , Gordon Richards

Activation functions play a significant role in neural network design by enabling non-linearity. The choice of activation function was previously shown to influence the properties of the resulting loss landscape. Understanding the…

机器学习 · 计算机科学 2023-06-29 Anna Sergeevna Bosman , Andries Engelbrecht , Marde Helbig

The activation function in neural network introduces the non-linearity required to deal with the complex tasks. Several activation/non-linearity functions are developed for deep learning models. However, most of the existing activation…

计算机视觉与模式识别 · 计算机科学 2023-02-20 Swalpa Kumar Roy , Suvojit Manna , Shiv Ram Dubey , Bidyut Baran Chaudhuri

Due to the limitations of Moore's Law and the increasing demand of computing, optical neural network (ONNs) are gradually coming to the stage as an alternative to electrical neural networks. The control of nonlinear activation functions in…

光学 · 物理学 2025-05-13 Zili Cai , Tian Zhang , Jian Dai , Zheng Wang , Kun Xu

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…

机器学习 · 计算机科学 2023-08-02 Minhyeok Lee

Element-wise activation functions play a critical role in deep neural networks via affecting the expressivity power and the learning dynamics. Learning-based activation functions have recently gained increasing attention and success. We…

机器学习 · 计算机科学 2020-10-05 Dengsheng Chen , Jun Li , Kai Xu

We extended the work of proposed activation function, Noisy Softplus, to fit into training of layered up spiking neural networks (SNNs). Thus, any ANN employing Noisy Softplus neurons, even of deep architecture, can be trained simply by the…

神经与进化计算 · 计算机科学 2017-06-13 Qian Liu , Yunhua Chen , Steve Furber

The activation functions are fundamental to neural networks as they introduce non-linearity into data relationships, thereby enabling deep networks to approximate complex data relations. Existing efforts to enhance neural network…

机器学习 · 计算机科学 2024-09-26 Jiayu Li , Zilong Zhao , Kevin Yee , Uzair Javaid , Biplab Sikdar

A pivotal aspect in the design of neural networks lies in selecting activation functions, crucial for introducing nonlinear structures that capture intricate input-output patterns. While the effectiveness of adaptive or trainable activation…

Previous literature offers limited clues on how to learn a periodic function using modern neural networks. We start with a study of the extrapolation properties of neural networks; we prove and demonstrate experimentally that the standard…

机器学习 · 计算机科学 2020-10-27 Liu Ziyin , Tilman Hartwig , Masahito Ueda

The design of activation functions remains a pivotal component in optimizing deep neural networks. While prevailing choices like Swish and GELU demonstrate considerable efficacy, they often exhibit domain-specific optima. This work…

机器学习 · 计算机科学 2025-06-02 Gaurav Sarkar , Jay Gala , Subarna Tripathi

This paper explores the expressive power of deep neural networks for a diverse range of activation functions. An activation function set $\mathscr{A}$ is defined to encompass the majority of commonly used activation functions, such as…

机器学习 · 计算机科学 2024-02-28 Shijun Zhang , Jianfeng Lu , Hongkai Zhao

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…

神经与进化计算 · 计算机科学 2018-10-23 Tao Yang , Yadong Wei , Zhijun Tu , Haolun Zeng , Michel A. Kinsy , Nanning Zheng , Pengju Ren

Deep neural networks (DNNs), particularly those using Rectified Linear Unit (ReLU) activation functions, have achieved remarkable success across diverse machine learning tasks, including image recognition, audio processing, and language…

机器学习 · 计算机科学 2026-03-26 Emi Zeger , Mert Pilanci

In this paper, we introduce the Hyperbolic Tangent Exponential Linear Unit (TeLU), a novel neural network activation function, represented as $f(x) = x{\cdot}tanh(e^x)$. TeLU is designed to overcome the limitations of conventional…

机器学习 · 计算机科学 2024-02-06 Alfredo Fernandez , Ankur Mali

Amongst others, the adoption of Rectified Linear Units (ReLUs) is regarded as one of the ingredients of the success of deep learning. ReLU activation has been shown to mitigate the vanishing gradient issue, to encourage sparsity in the…

机器学习 · 统计学 2021-10-14 Nicola Picchiotti , Marco Gori

This paper investigates the lack of research on activation functions for neural network models in time series tasks. It highlights the need to identify essential properties of these activations to improve their effectiveness in specific…

Deep neural networks owe their expressive power to nonlinear activation functions. The effective field theory of signal propagation at initialization reveals a few distinct universality classes of activations that exhibit different depth…

无序系统与神经网络 · 物理学 2026-05-08 Omri Lesser , Debanjan Chowdhury

In this work we propose a new non-monotonic activation function: the modulus. The majority of the reported research on nonlinearities is focused on monotonic functions. We empirically demonstrate how by using the modulus activation function…

Neural networks are universal function approximators which are known to generalize well despite being dramatically overparameterized. We study this phenomenon from the point of view of the spectral bias of neural networks. Our contributions…

机器学习 · 计算机科学 2022-09-07 Qingguo Hong , Jonathan W. Siegel , Qinyang Tan , Jinchao Xu