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Deep neural networks are currently among the most commonly used classifiers. Despite easily achieving very good performance, one of the best selling points of these models is their modular design - one can conveniently adapt their…

Machine Learning · Computer Science 2017-02-21 Katarzyna Janocha , Wojciech Marian Czarnecki

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.…

Computer Vision and Pattern Recognition · Computer Science 2018-10-04 Masayuki Tanaka

A general procedure for introducing parametric, learned, nonlinearity into activation functions is found to enhance the accuracy of representative neural networks without requiring significant additional computational resources. Examples…

Machine Learning · Computer Science 2025-05-14 David Yevick

The paper discusses the use of the Absolute activation function in classification neural networks. An examples are shown of using this activation function in simple and more complex problems. Using as a baseline LeNet-5 network for solving…

Machine Learning · Computer Science 2023-04-25 Oleg I. Berngardt

Most deep neural networks use simple, fixed activation functions, such as sigmoids or rectified linear units, regardless of domain or network structure. We introduce differential equation units (DEUs), an improvement to modern neural…

Machine Learning · Computer Science 2019-09-10 MohamadAli Torkamani , Shiv Shankar , Amirmohammad Rooshenas , Phillip Wallis

Most deep neural networks use simple, fixed activation functions, such as sigmoids or rectified linear units, regardless of domain or network structure. We introduce differential equation units (DEUs), an improvement to modern neural…

Machine Learning · Computer Science 2019-05-21 MohamadAli Torkamani , Phillip Wallis , Shiv Shankar , Amirmohammad Rooshenas

Why do brains have inhibitory connections? Why do deep networks have negative weights? We propose an answer from the perspective of representation capacity. We believe representing functions is the primary role of both (i) the brain in…

Machine Learning · Computer Science 2023-08-21 Qingyang Wang , Michael A. Powell , Ali Geisa , Eric Bridgeford , Carey E. Priebe , Joshua T. Vogelstein

Neural networks and Gaussian processes are complementary in their strengths and weaknesses. Having a better understanding of their relationship comes with the promise to make each method benefit from the strengths of the other. In this…

Neural networks are known to be effective function approximators. Recently, deep neural networks have proven to be very effective in pattern recognition, classification tasks and human-level control to model highly nonlinear realworld…

Neural and Evolutionary Computing · Computer Science 2016-10-06 Olalekan Ogunmolu , Xuejun Gu , Steve Jiang , Nicholas Gans

The paper briefy reviews several recent results on hierarchical architectures for learning from examples, that may formally explain the conditions under which Deep Convolutional Neural Networks perform much better in function approximation…

Machine Learning · Computer Science 2016-08-12 Hrushikesh Mhaskar , Tomaso Poggio

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…

Machine Learning · Computer Science 2021-03-01 Andrea Apicella , Francesco Donnarumma , Francesco Isgrò , Roberto Prevete

We perform an empirical study of the behaviour of deep networks when fully linearizing some of its feature channels through a sparsity prior on the overall number of nonlinear units in the network. In experiments on image classification and…

Machine Learning · Computer Science 2023-06-02 Christian H. X. Ali Mehmeti-Göpel , Jan Disselhoff

This work contributes to the development of a new data-driven method (D-DM) of feedforward neural networks (FNNs) learning. This method was proposed recently as a way of improving randomized learning of FNNs by adjusting the network…

Machine Learning · Computer Science 2021-07-07 Grzegorz Dudek

Redundancy in deep neural network (DNN) models has always been one of their most intriguing and important properties. DNNs have been shown to overparameterize, or extract a lot of redundant features. In this work, we explore the impact of…

Machine Learning · Computer Science 2019-01-31 Babajide O. Ayinde , Tamer Inanc , Jacek M. Zurada

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…

Machine Learning · Computer Science 2023-06-29 Anna Sergeevna Bosman , Andries Engelbrecht , Marde Helbig

In this work, we propose activation functions for neuronal networks that are refinable and sum the identity. This new class of activation functions allows the insertion of new layers between existing ones and/or the increase of neurons in a…

Numerical Analysis · Mathematics 2025-05-07 Sergio López-Ureña

The scope of research in the domain of activation functions remains limited and centered around improving the ease of optimization or generalization quality of neural networks (NNs). However, to develop a deeper understanding of deep…

Machine Learning · Computer Science 2020-12-10 Mohit Goyal , Rajan Goyal , Brejesh Lall

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…

Signal Processing · Electrical Eng. & Systems 2020-09-16 Bianca Iancu , Luana Ruiz , Alejandro Ribeiro , Elvin Isufi

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…

Machine Learning · Computer Science 2022-03-23 Tiantian He , Zhibin Li , Yongshun Gong , Yazhou Yao , Xiushan Nie , Yilong Yin

While the concept of a Sparse Neural Network has been researched for some time, researchers have only recently made notable progress in the matter. Techniques like Sparse Evolutionary Training allow for significantly lower computational…

Neural and Evolutionary Computing · Computer Science 2020-10-14 Adam Dubowski