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Many activation functions have been proposed in the past, but selecting an adequate one requires trial and error. We propose a new methodology of designing activation functions within a neural network at each layer. We call this technique…

机器学习 · 统计学 2017-02-28 Mark Harmon , Diego Klabjan

Activation functions are non-linearities in neural networks that allow them to learn complex mapping between inputs and outputs. Typical choices for activation functions are ReLU, Tanh, Sigmoid etc., where the choice generally depends on…

Convolutional Neural Networks (CNNs) have been widely applied. But as the CNNs grow, the number of arithmetic operations and memory footprint also increase. Furthermore, typical non-linear activation functions do not allow associativity of…

机器学习 · 计算机科学 2021-11-10 Eduardo Vera Sousa , Leandro A. F. Fernandes , Cristina Nader Vasconcelos

Activation functions shape the outputs of artificial neurons and, therefore, are integral parts of neural networks in general and deep learning in particular. Some activation functions, such as logistic and relu, have been used for many…

机器学习 · 计算机科学 2021-01-26 Johannes Lederer

In neural networks literature, there is a strong interest in identifying and defining activation functions which can improve neural network performance. In recent years there has been a renovated interest of the scientific community in…

机器学习 · 计算机科学 2021-03-01 Andrea Apicella , Francesco Donnarumma , Francesco Isgrò , Roberto Prevete

Artificial neural networks (ANN), typically referred to as neural networks, are a class of Machine Learning algorithms and have achieved widespread success, having been inspired by the biological structure of the human brain. Neural…

机器学习 · 计算机科学 2022-04-08 Murilo Gustineli

This work presents an adaptive activation method for neural networks that exploits the interdependency of features. Each pixel, node, and layer is assigned with a polynomial activation function, whose coefficients are provided by an…

计算机视觉与模式识别 · 计算机科学 2018-11-22 Jinhyeok Jang , Jaehong Kim , Jaeyeon Lee , Seungjoon Yang

In this paper, we introduce a novel non-linear activation function that spontaneously induces class-compactness and regularization in the embedding space of neural networks. The function is dubbed DOME for Difference Of Mirrored Exponential…

机器学习 · 计算机科学 2021-12-08 Mohamed E. Hussein , Wael AbdAlmageed

Activation functions are crucial in graph neural networks (GNNs) as they allow defining a nonlinear family of functions to capture the relationship between the input graph data and their representations. This paper proposes activation…

信号处理 · 电气工程与系统科学 2020-09-16 Bianca Iancu , Luana Ruiz , Alejandro Ribeiro , Elvin Isufi

Neural networks have proven to be a highly effective tool for solving complex problems in many areas of life. Recently, their importance and practical usability have further been reinforced with the advent of deep learning. One of the…

机器学习 · 计算机科学 2024-02-15 Vladimír Kunc , Jiří Kléma

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…

计算机视觉与模式识别 · 计算机科学 2021-12-20 Haigen Hu , Aizhu Liu , Qiu Guan , Xiaoxin Li , Shengyong Chen , Qianwei Zhou

Neural networks are generally built by interleaving (adaptable) linear layers with (fixed) nonlinear activation functions. To increase their flexibility, several authors have proposed methods for adapting the activation functions…

机器学习 · 统计学 2017-11-27 Simone Scardapane , Steven Van Vaerenbergh , Simone Totaro , Aurelio Uncini

The design of a neural network is usually carried out by defining the number of layers, the number of neurons per layer, their connections or synapses, and the activation function that they will execute. The training process tries to…

神经与进化计算 · 计算机科学 2022-07-01 Juan Heredia-Juesas , José Á. Martínez-Lorenzo

A wide variety of activation functions have been proposed for neural networks. The Rectified Linear Unit (ReLU) is especially popular today. There are many practical reasons that motivate the use of the ReLU. This paper provides new…

机器学习 · 统计学 2020-10-19 Rahul Parhi , Robert D. Nowak

Activation functions play an essential role in neural networks. They provide the non-linearity for the networks. Therefore, their properties are important for neural networks' accuracy and running performance. In this paper, we present a…

机器学习 · 计算机科学 2023-08-01 Yuanhao Gong

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

We consider neural networks with rational activation functions. The choice of the nonlinear activation function in deep learning architectures is crucial and heavily impacts the performance of a neural network. We establish optimal bounds…

神经与进化计算 · 计算机科学 2020-10-01 Nicolas Boullé , Yuji Nakatsukasa , Alex Townsend

Graph neural networks (GNNs) are a class of neural networks that allow to efficiently perform inference on data that is associated to a graph structure, such as, e.g., citation networks or knowledge graphs. While several variants of GNNs…

神经与进化计算 · 计算机科学 2018-02-27 Simone Scardapane , Steven Van Vaerenbergh , Danilo Comminiello , Aurelio Uncini

Activation functions play a decisive role in determining the capacity of Deep Neural Networks as they enable neural networks to capture inherent nonlinearities present in data fed to them. The prior research on activation functions…

计算机视觉与模式识别 · 计算机科学 2023-05-31 Jamshaid Ul Rahman , Faiza Makhdoom , Dianchen Lu

The activation function deployed in a deep neural network has great influence on the performance of the network at initialisation, which in turn has implications for training. In this paper we study how to avoid two problems at…

机器学习 · 计算机科学 2021-05-18 Michael Murray , Vinayak Abrol , Jared Tanner
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