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This is paper for the smooth function approximation by neural networks (NN). Mathematical or physical functions can be replaced by NN models through regression. In this study, we get NNs that generate highly accurate and highly smooth…

Neural and Evolutionary Computing · Computer Science 2023-01-03 I. K. Hong

An activation function is a crucial component of a neural network that introduces non-linearity in the network. The state-of-the-art performance of a neural network depends also on the perfect choice of an activation function. We propose…

Neural and Evolutionary Computing · Computer Science 2022-03-25 Koushik Biswas , Sandeep Kumar , Shilpak Banerjee , Ashish Kumar Pandey

Feed-forward neural networks (NN) are a staple machine learning method widely used in many areas of science and technology. While even a single-hidden layer NN is a universal approximator, its expressive power is limited by the use of…

Machine Learning · Statistics 2023-09-28 Sergei Manzhos , Manabu Ihara

Neural networks are the state-of-the-art approach for many tasks and the activation function is one of the main building blocks that allow such performance. Recently, a novel transformative adaptive activation function (TAAF) allowing for…

Machine Learning · Computer Science 2024-02-15 Vladimír Kunc

Binary neural networks (BNNs) show promising utilization in cost and power-restricted domains such as edge devices and mobile systems. This is due to its significantly less computation and storage demand, but at the cost of degraded…

Neural and Evolutionary Computing · Computer Science 2022-06-08 Yanfei Li , Tong Geng , Samuel Stein , Ang Li , Huimin Yu

The overfitting is one of the cursing subjects in the deep learning field. To solve this challenge, many approaches were proposed to regularize the learning models. They add some hyper-parameters to the model to extend the generalization;…

Machine Learning · Computer Science 2020-05-06 Mohammad Mahdi Bejani , Mehdi Ghatee

Recent studies reveal that Convolutional Neural Networks (CNNs) are typically vulnerable to adversarial attacks, which pose a threat to security-sensitive applications. Many adversarial defense methods improve robustness at the cost of…

Computer Vision and Pattern Recognition · Computer Science 2021-06-17 Tao Wang , Ruixin Zhang , Xingyu Chen , Kai Zhao , Xiaolin Huang , Yuge Huang , Shaoxin Li , Jilin Li , Feiyue Huang

Sheaf Neural Networks (SNNs) were introduced as an extension of Graph Convolutional Networks to address oversmoothing on heterophilous graphs by attaching a sheaf to the input graph and replacing the adjacency-based operator with a sheaf…

Machine Learning · Computer Science 2026-03-06 Ferran Hernandez Caralt , Mar Gonzàlez i Català , Adrián Bazaga , Pietro Liò

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…

Machine Learning · Statistics 2017-11-27 Simone Scardapane , Steven Van Vaerenbergh , Simone Totaro , Aurelio Uncini

Spiking Neural Network (SNN), originating from the neural behavior in biology, has been recognized as one of the next-generation neural networks. Conventionally, SNNs can be obtained by converting from pre-trained Artificial Neural Networks…

Neural and Evolutionary Computing · Computer Science 2022-05-23 Yuhang Li , Shikuang Deng , Xin Dong , Shi Gu

Spiking Neural Networks (SNNs) offer a biologically plausible framework for energy-efficient neuromorphic computing. However, it is a challenge to train SNNs due to their non-differentiability, efficiently. Existing gradient approximation…

Computer Vision and Pattern Recognition · Computer Science 2025-08-04 Changqing Xu , Ziqiang Yang , Yi Liu , Xinfang Liao , Guiqi Mo , Hao Zeng , Yintang Yang

We explore the efficacy of using a novel activation function in Artificial Neural Networks (ANN) in characterizing exoplanets into different classes. We call this Saha-Bora Activation Function (SBAF) as the motivation is derived from long…

Machine Learning · Computer Science 2018-06-07 Snehanshu Saha , Archana Mathur , Kakoli Bora , Surbhi Agrawal , Suryoday Basak

Sharpness-Aware Minimization (SAM) has proven highly effective in improving model generalization in machine learning tasks. However, SAM employs a fixed hyperparameter associated with the regularization to characterize the sharpness of the…

Machine Learning · Computer Science 2024-12-24 Jinping Zou , Xiaoge Deng , Tao Sun

Neural networks are regularly employed in adaptive control of nonlinear systems and related methods of reinforcement learning. A common architecture uses a neural network with a single hidden layer (i.e. a shallow network), in which the…

Optimization and Control · Mathematics 2024-04-18 Andrew Lamperski , Tyler Lekang

Overfitting is one of the critical problems in deep neural networks. Many regularization schemes try to prevent overfitting blindly. However, they decrease the convergence speed of training algorithms. Adaptive regularization schemes can…

Machine Learning · Computer Science 2021-06-18 Mohammad Mahdi Bejani , Mehdi Ghatee

In this paper, we investigate the negative effect of activation functions on forward and backward propagation and how to counteract this effect. First, We examine how activation functions affect the forward and backward propagation of…

Machine Learning · Computer Science 2024-02-06 Yuan Peiwen , Henan Liu , Zhu Changsheng , Yuyi Wang

Landmark universal function approximation results for neural networks with trained weights and biases provided the impetus for the ubiquitous use of neural networks as learning models in neuroscience and Artificial Intelligence (AI). Recent…

Neural and Evolutionary Computing · Computer Science 2025-03-25 Ezekiel Williams , Alexandre Payeur , Avery Hee-Woon Ryoo , Thomas Jiralerspong , Matthew G. Perich , Luca Mazzucato , Guillaume Lajoie

We propose a new type of neural networks, Kronecker neural networks (KNNs), that form a general framework for neural networks with adaptive activation functions. KNNs employ the Kronecker product, which provides an efficient way of…

Machine Learning · Computer Science 2021-10-22 Ameya D. Jagtap , Yeonjong Shin , Kenji Kawaguchi , George Em Karniadakis

Function regression/approximation is a fundamental application of machine learning. Neural networks (NNs) can be easily trained for function regression using a sufficient number of neurons and epochs. The forward-forward learning algorithm…

Machine Learning · Computer Science 2025-10-16 Shivam Padmani , Akshay Joshi

We propose a unified framework for adaptive connection sampling in graph neural networks (GNNs) that generalizes existing stochastic regularization methods for training GNNs. The proposed framework not only alleviates over-smoothing and…