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Artificial neural networks (ANNs) have now been widely used for industry applications and also played more important roles in fundamental researches. Although most ANN hardware systems are electronically based, optical implementation is…

How perception and reasoning arise from neuronal network activity is poorly understood. This is reflected in the fundamental limitations of connectionist artificial intelligence, typified by deep neural networks trained via gradient-based…

Artificial Intelligence · Computer Science 2020-02-27 Paul J. Blazek , Milo M. Lin

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…

Computer Vision and Pattern Recognition · Computer Science 2020-06-08 Zhaohe Liao

Activation functions play a vital role in the training of Convolutional Neural Networks. For this reason, to develop efficient and performing functions is a crucial problem in the deep learning community. Key to these approaches is to…

Computer Vision and Pattern Recognition · Computer Science 2020-09-23 Gianluca Maguolo , Loris Nanni , Stefano Ghidoni

It is difficult to describe in mathematical terms what a neural network trained on data represents. On the other hand, there is a growing mathematical understanding of what neural networks are in principle capable of representing.…

Machine Learning · Computer Science 2025-06-25 Daan Huybrechs

Artificial Neural Networks (ANNs) are one of the most widely employed forms of bio-inspired computation. However the current trend is for ANNs to be structurally homogeneous. Furthermore, this structural homogeneity requires the application…

Neural and Evolutionary Computing · Computer Science 2024-03-26 Andrew Walter , Shimeng Wu , Andy M. Tyrrell , Liam McDaid , Malachy McElholm , Nidhin Thandassery Sumithran , Jim Harkin , Martin A. Trefzer

We propose two new criteria to understand the advantage of deepening neural networks. It is important to know the expressivity of functions computable by deep neural networks in order to understand the advantage of deepening neural…

Machine Learning · Computer Science 2024-03-06 Yasushi Esaki , Yuta Nakahara , Toshiyasu Matsushima

Neuroscientists apply a range of common analysis tools to recorded neural activity in order to glean insights into how neural circuits implement computations. Despite the fact that these tools shape the progress of the field as a whole, we…

Neurons and Cognition · Quantitative Biology 2022-02-16 Grace W. Lindsay

The expressive power of artificial neural networks crucially depends on the nonlinearity of their activation functions. Though a wide variety of nonlinear activation functions have been proposed for use in artificial neural networks, a…

Disordered Systems and Neural Networks · Physics 2021-02-24 Jacob A. Zavatone-Veth , Cengiz Pehlevan

A neuroscience method to understanding the brain is to find and study the preferred stimuli that highly activate an individual cell or groups of cells. Recent advances in machine learning enable a family of methods to synthesize preferred…

Machine Learning · Computer Science 2019-04-22 Anh Nguyen , Jason Yosinski , Jeff Clune

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…

Machine Learning · Computer Science 2024-02-28 Shijun Zhang , Jianfeng Lu , Hongkai Zhao

A deep neural network (DNN) with piecewise linear activations can partition the input space into numerous small linear regions, where different linear functions are fitted. It is believed that the number of these regions represents the…

Machine Learning · Computer Science 2020-04-30 Xiao Zhang , Dongrui Wu

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…

Machine Learning · Computer Science 2021-05-18 Michael Murray , Vinayak Abrol , Jared Tanner

Next-generation wireless networks must support ultra-reliable, low-latency communication and intelligently manage a massive number of Internet of Things (IoT) devices in real-time, within a highly dynamic environment. This need for…

Information Theory · Computer Science 2019-07-02 Mingzhe Chen , Ursula Challita , Walid Saad , Changchuan Yin , Mérouane Debbah

Deep learning based on artificial neural networks is a powerful machine learning method that, in the last few years, has been successfully used to realize tasks, e.g., image classification, speech recognition, translation of languages,…

Information Theory · Computer Science 2019-06-18 Alessio Zappone , Marco Di Renzo , Mérouane Debbah , Thanh Tu Lam , Xuewen Qian

The performance of deep network learning strongly depends on the choice of the non-linear activation function associated with each neuron. However, deciding on the best activation is non-trivial, and the choice depends on the architecture,…

Machine Learning · Computer Science 2020-02-05 Alejandro Molina , Patrick Schramowski , Kristian Kersting

Artificial Neural Networks, an essential part of Deep Learning, are derived from the structure and functionality of the human brain. It has a broad range of applications ranging from medical analysis to automated driving. Over the past few…

Computer Vision and Pattern Recognition · Computer Science 2020-11-16 Sangeeta Satish Rao , Nikunj Phutela , V R Badri Prasad

Humans excel at continually acquiring, consolidating, and retaining information from an ever-changing environment, whereas artificial neural networks (ANNs) exhibit catastrophic forgetting. There are considerable differences in the…

Neural and Evolutionary Computing · Computer Science 2023-04-17 Fahad Sarfraz , Elahe Arani , Bahram Zonooz

Natural language processing (NLP) and neural networks (NNs) have both undergone significant changes in recent years. For active learning (AL) purposes, NNs are, however, less commonly used -- despite their current popularity. By using the…

Computation and Language · Computer Science 2020-08-18 Christopher Schröder , Andreas Niekler

The random neural network (RNN) is a mathematical model for an "integrate and fire" spiking network that closely resembles the stochastic behaviour of neurons in mammalian brains. Since its proposal in 1989, there have been numerous…

Neural and Evolutionary Computing · Computer Science 2018-10-23 Yonghua Yin