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In neural networks, non-linearity is introduced by activation functions. One commonly used activation function is Rectified Linear Unit (ReLU). ReLU has been a popular choice as an activation but has flaws. State-of-the-art functions like…

机器学习 · 计算机科学 2021-12-23 Advait Vagerwal

Activation functions play a crucial role in neural networks because they are the nonlinearities which have been attributed to the success story of deep learning. One of the currently most popular activation functions is ReLU, but several…

计算与语言 · 计算机科学 2019-01-10 Steffen Eger , Paul Youssef , Iryna Gurevych

Despite the empirical success of DNN, their internal training dynamics remain difficult to characterize. In ReLU-based models, the activation pattern induced by a given input determines the piecewise-linear region in which the network…

In this paper, we study the trainability of rectified linear unit (ReLU) networks. A ReLU neuron is said to be dead if it only outputs a constant for any input. Two death states of neurons are introduced; tentative and permanent death. A…

机器学习 · 计算机科学 2020-10-23 Yeonjong Shin , George Em Karniadakis

It is well-known that overparametrized neural networks trained using gradient-based methods quickly achieve small training error with appropriate hyperparameter settings. Recent papers have proved this statement theoretically for highly…

机器学习 · 计算机科学 2020-04-13 Abhishek Panigrahi , Abhishek Shetty , Navin Goyal

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…

计算机视觉与模式识别 · 计算机科学 2024-09-17 Abdur Rahman , Lu He , Haifeng Wang

The activation function is at the heart of a deep neural networks nonlinearity; the choice of the function has great impact on the success of training. Currently, many practitioners prefer the Rectified Linear Unit (ReLU) due to its…

机器学习 · 计算机科学 2021-08-24 Jordan Inturrisi , Sui Yang Khoo , Abbas Kouzani , Riccardo Pagliarella

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…

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…

计算机视觉与模式识别 · 计算机科学 2024-09-16 Chuan Feng , Xi Lin , Shiping Zhu , Hongkang Shi , Maojie Tang , Hua Huang

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

Learning automatically the best activation function for the task is an active topic in neural network research. At the moment, despite promising results, it is still difficult to determine a method for learning an activation function that…

机器学习 · 计算机科学 2019-10-29 Andrea Apicella , Francesco Isgrò , Roberto Prevete

Constructing first-principles models is usually a challenging and time-consuming task due to the complexity of the real-life processes. On the other hand, data-driven modeling, and in particular neural network models often suffer from…

最优化与控制 · 数学 2023-02-03 Ece S. Koksal , Erdal Aydin

Activation functions play a critical role in the performance and behaviour of neural networks, significantly impacting their ability to learn and generalise. Traditional activation functions, such as ReLU, sigmoid, and tanh, have been…

神经与进化计算 · 计算机科学 2025-03-27 Benjamin David Winter , William John Teahan

In the current research of neural networks, the activation function is manually specified by human and not able to change themselves during training. This paper focus on how to make the activation function trainable for deep neural…

计算机视觉与模式识别 · 计算机科学 2020-06-08 Zhaohe Liao

We investigate the parameter-space geometry of recurrent neural networks (RNNs), and develop an adaptation of path-SGD optimization method, attuned to this geometry, that can learn plain RNNs with ReLU activations. On several datasets that…

机器学习 · 计算机科学 2016-05-24 Behnam Neyshabur , Yuhuai Wu , Ruslan Salakhutdinov , Nathan Srebro

Recently, much attention has been devoted to finding highly efficient and powerful activation functions for CNN layers. Because activation functions inject different nonlinearities between layers that affect performance, varying them is one…

计算机视觉与模式识别 · 计算机科学 2021-04-05 Loris Nanni , Gianluca Maguolo , Sheryl Brahnam , Michelangelo Paci

We introduce stochastic activations. This novel strategy randomly selects between several non-linear functions in the feed-forward layer of a large language model. In particular, we choose between SILU or RELU depending on a Bernoulli draw.…

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…

机器学习 · 计算机科学 2018-06-27 Leon René Sütfeld , Flemming Brieger , Holger Finger , Sonja Füllhase , Gordon Pipa

Neural networks have attracted a lot of attention due to its success in applications such as natural language processing and computer vision. For large scale data, due to the tremendous number of parameters in neural networks, overfitting…

机器学习 · 统计学 2022-07-05 Xiaoxi Shen , Jinghang Lin

This study introduces a novel activation function, characterized by a dynamic slope that adjusts throughout the training process, aimed at enhancing adaptability and performance in deep neural networks for computer vision tasks. The…

计算机视觉与模式识别 · 计算机科学 2024-08-20 Archisman Chakraborti , Bidyut B Chaudhuri