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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…

Machine Learning · Computer Science 2025-10-22 Chaoyue Liu , Han Bi , Like Hui , Xiao Liu

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…

Computer Vision and Pattern Recognition · Computer Science 2023-05-31 Jamshaid Ul Rahman , Faiza Makhdoom , Dianchen Lu

Current research suggests that the key factors in designing neural network architectures involve choosing number of filters for every convolution layer, number of hidden neurons for every fully connected layer, dropout and pruning. The…

Machine Learning · Computer Science 2020-09-17 Himanshu Pradeep Aswani , Amit Sethi

Despite broad interest in applying deep learning techniques to scientific discovery, learning interpretable formulas that accurately describe scientific data is very challenging because of the vast landscape of possible functions and the…

Machine Learning · Computer Science 2021-02-17 Fuchang Gao , Boyu Zhang

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

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…

Machine Learning · Computer Science 2021-11-10 Eduardo Vera Sousa , Leandro A. F. Fernandes , Cristina Nader Vasconcelos

Activation in deep neural networks is fundamental to achieving non-linear mappings. Traditional studies mainly focus on finding fixed activations for a particular set of learning tasks or model architectures. The research on flexible…

Neural and Evolutionary Computing · Computer Science 2020-08-20 Renlong Jie , Junbin Gao , Andrey Vasnev , Min-ngoc Tran

The primary neural networks decision-making units are activation functions. Moreover, they evaluate the output of networks neural node; thus, they are essential for the performance of the whole network. Hence, it is critical to choose the…

Machine Learning · Computer Science 2020-10-20 Tomasz Szandała

The choice of activation functions and their motivation is a long-standing issue within the neural network community. Neuronal representations within artificial neural networks are commonly understood as logits, representing the log-odds…

Machine Learning · Computer Science 2022-11-30 Scott C. Lowe , Robert Earle , Jason d'Eon , Thomas Trappenberg , Sageev Oore

Deep neural networks (DNNs) have garnered significant attention in various fields of science and technology in recent years. Activation functions define how neurons in DNNs process incoming signals for them. They are essential for learning…

Machine Learning · Computer Science 2023-08-31 Jianfei Li , Han Feng , Ding-Xuan Zhou

Deep neural networks have been successfully used in diverse emerging domains to solve real world complex problems with may more deep learning(DL) architectures, being developed to date. To achieve these state-of-the-art performances, the DL…

Machine Learning · Computer Science 2018-11-09 Chigozie Nwankpa , Winifred Ijomah , Anthony Gachagan , Stephen Marshall

An activation function has a significant impact on the efficiency and robustness of the neural networks. As an alternative, we evolved a cutting-edge non-monotonic activation function, Negative Stimulated Hybrid Activation Function (Nish).…

Machine Learning · Computer Science 2022-12-20 Yildiray Anagun , Sahin Isik

Activation functions have come up as one of the essential components of neural networks. The choice of adequate activation function can impact the accuracy of these methods. In this study, we experiment for finding an optimal activation…

Machine Learning · Computer Science 2022-02-25 Vipul Bansal

ReLU is widely seen as the default choice for activation functions in neural networks. However, there are cases where more complicated functions are required. In particular, recurrent neural networks (such as LSTMs) make extensive use of…

Machine Learning · Computer Science 2020-01-20 Nicholas Gerard Timmons , Andrew Rice

Understanding the inner workings of machine learning models is critical for ensuring their reliability and robustness. Whilst many techniques in mechanistic interpretability focus on activation driven analyses, being able to derive…

Machine Learning · Computer Science 2025-09-03 Jason Abohwo , Thomas Mosen

This study explores novel activation functions that enhance the ability of neural networks to manipulate data topology during training. Building on the limitations of traditional activation functions like $\mathrm{ReLU}$, we propose…

Machine Learning · Computer Science 2025-07-18 Pavel Snopov , Oleg R. Musin

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…

Neural and Evolutionary Computing · Computer Science 2022-07-01 Juan Heredia-Juesas , José Á. Martínez-Lorenzo

We introduce an electro-optic hardware platform for nonlinear activation functions in optical neural networks. The optical-to-optical nonlinearity operates by converting a small portion of the input optical signal into an analog electric…

Signal Processing · Electrical Eng. & Systems 2019-08-09 Ian A. D. Williamson , Tyler W. Hughes , Momchil Minkov , Ben Bartlett , Sunil Pai , Shanhui Fan

Activation functions play an important role in training artificial neural networks. The majority of currently used activation functions are deterministic in nature, with their fixed input-output relationship. In this work, we propose a…

The mathematical complexity and high dimensionality of neural networks slow both training and deployment, demanding heavy computational resources. This has driven the search for alternative architectures built from novel components,…

Applied Physics · Physics 2025-12-15 Jake McNaughton , A. H. Abbas , Ivan S. Maksymov