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Lipschitz-constrained neural networks have several advantages over unconstrained ones and can be applied to a variety of problems, making them a topic of attention in the deep learning community. Unfortunately, it has been shown both…

Activation functions play a critical role in deep neural networks by shaping gradient flow, optimization stability, and generalization. While ReLU remains widely used due to its simplicity, it suffers from gradient sparsity and dead-neuron…

机器学习 · 计算机科学 2025-12-03 Ashkan Shakarami , Yousef Yeganeh , Azade Farshad , Lorenzo Nicolè , Stefano Ghidoni , Nassir Navab

Sparse computation offers a compelling solution for the inference of Large Language Models (LLMs) in low-resource scenarios by dynamically skipping the computation of inactive neurons. While traditional approaches focus on ReLU-based LLMs,…

机器学习 · 计算机科学 2024-02-07 Zhengyan Zhang , Yixin Song , Guanghui Yu , Xu Han , Yankai Lin , Chaojun Xiao , Chenyang Song , Zhiyuan Liu , Zeyu Mi , Maosong Sun

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…

机器学习 · 计算机科学 2023-10-13 Stamatis Mastromichalakis

Activation functions have a notorious impact on neural networks on both training and testing the models against the desired problem. Currently, the most used activation function is the Rectified Linear Unit (ReLU). This paper introduces a…

计算机视觉与模式识别 · 计算机科学 2018-01-23 Eric Alcaide

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

Motivated by the growing theoretical understanding of neural networks that employ the Rectified Linear Unit (ReLU) as their activation function, we revisit the use of ReLU activation functions for learning implicit neural representations…

图像与视频处理 · 电气工程与系统科学 2024-08-05 Joseph Shenouda , Yamin Zhou , Robert D. Nowak

Activation function is a pivotal component of deep learning, facilitating the extraction of intricate data patterns. While classical activation functions like ReLU and its variants are extensively utilized, their static nature and…

机器学习 · 计算机科学 2025-11-04 Barathi Subramanian , Rathinaraja Jeyaraj , Rakhmonov Akhrorjon Akhmadjon Ugli

Non-linear activation functions, e.g., Sigmoid, ReLU, and Tanh, have achieved great success in neural networks (NNs). Due to the complex non-linear characteristic of samples, the objective of those activation functions is to project samples…

机器学习 · 计算机科学 2022-03-23 Tiantian He , Zhibin Li , Yongshun Gong , Yazhou Yao , Xiushan Nie , Yilong Yin

In this paper we investigate the performance of different types of rectified activation functions in convolutional neural network: standard rectified linear unit (ReLU), leaky rectified linear unit (Leaky ReLU), parametric rectified linear…

机器学习 · 计算机科学 2015-11-30 Bing Xu , Naiyan Wang , Tianqi Chen , Mu Li

The rectified linear unit (ReLU) is a highly successful activation function in neural networks as it allows networks to easily obtain sparse representations, which reduces overfitting in overparameterized networks. However, in network…

机器学习 · 计算机科学 2022-12-14 Shiyu Liu , Rohan Ghosh , Dylan Tan , Mehul Motani

Nonlinear activation functions are widely recognized for enhancing the expressivity of neural networks, which is the primary reason for their widespread implementation. In this work, we focus on ReLU activation and reveal a novel and…

机器学习 · 计算机科学 2025-10-22 Chaoyue Liu , Han Bi , Like Hui , Xiao Liu

We propose the Hyperbolic Tangent Exponential Linear Unit (TeLU), a neural network hidden activation function defined as TeLU(x)=xtanh(exp(x)). TeLU's design is grounded in the core principles of key activation functions, achieving strong…

机器学习 · 计算机科学 2025-01-03 Alfredo Fernandez , Ankur Mali

We propose a novel activation function that implements piece-wise orthogonal non-linear mappings based on permutations. It is straightforward to implement, and very computationally efficient, also it has little memory requirements. We…

神经与进化计算 · 计算机科学 2017-02-02 Artem Chernodub , Dimitri Nowicki

Deep learning training training algorithms are a huge success in recent years in many fields including speech, text,image video etc. Deeper and deeper layers are proposed with huge success with resnet structures having around 152 layers.…

机器学习 · 计算机科学 2024-02-20 Chinmay Rane , Kanishka Tyagi , Michael Manry

An activation function has crucial role in a deep neural network. A simple rectified linear unit (ReLU) are widely used for the activation function. In this paper, a weighted sigmoid gate unit (WiG) is proposed as the activation function.…

计算机视觉与模式识别 · 计算机科学 2018-10-04 Masayuki Tanaka

In this paper, we propose novel quaternion activation functions where we modify either the quaternion magnitude or the phase, as an alternative to the commonly used split activation functions. We define criteria that are relevant for…

机器学习 · 计算机科学 2024-06-25 Johannes Pöppelbaum , Andreas Schwung

Classical results in neural network approximation theory show how arbitrary continuous functions can be approximated by networks with a single hidden layer, under mild assumptions on the activation function. However, the classical theory…

最优化与控制 · 数学 2023-04-06 Tyler Lekang , Andrew Lamperski

We explore the phase diagram of approximation rates for deep neural networks and prove several new theoretical results. In particular, we generalize the existing result on the existence of deep discontinuous phase in ReLU networks to…

神经与进化计算 · 计算机科学 2021-01-07 Dmitry Yarotsky , Anton Zhevnerchuk

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…

机器学习 · 计算机科学 2024-06-03 Asmaa Benchama , Khalid Zebbara