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Deep neural networks, as a powerful system to represent high dimensional complex functions, play a key role in deep learning. Convergence of deep neural networks is a fundamental issue in building the mathematical foundation for deep…

Machine Learning · Computer Science 2022-10-04 Wentao Huang , Yuesheng Xu , Haizhang Zhang

We consider the problem of active learning for global sensitivity analysis of expensive black-box functions. Our aim is to efficiently learn the importance of different input variables, e.g., in vehicle safety experimentation, we study the…

Machine Learning · Computer Science 2024-10-22 Syrine Belakaria , Benjamin Letham , Janardhan Rao Doppa , Barbara Engelhardt , Stefano Ermon , Eytan Bakshy

The weight initialization and the activation function of deep neural networks have a crucial impact on the performance of the training procedure. An inappropriate selection can lead to the loss of information of the input during forward…

Machine Learning · Statistics 2018-10-09 Soufiane Hayou , Arnaud Doucet , Judith Rousseau

Many neural network architectures rely on the choice of the activation function for each hidden layer. Given the activation function, the neural network is trained over the bias and the weight parameters. The bias catches the center of the…

Machine Learning · Computer Science 2019-10-01 Farnoush Farhadi , Vahid Partovi Nia , Andrea Lodi

We propose the Moderate Adaptive Linear Unit (MoLU), a novel activation function for deep neural networks, defined analytically as: f(x)=x \times (1+tanh(x))/2. MoLU combines mathematical elegance with empirical effectiveness, exhibiting…

Machine Learning · Computer Science 2025-07-16 Hankyul Koh , Joon-hyuk Ko , Wonho Jhe

Deep Neural Networks have been shown to be beneficial for a variety of tasks, in particular allowing for end-to-end learning and reducing the requirement for manual design decisions. However, still many parameters have to be chosen in…

Neural and Evolutionary Computing · Computer Science 2018-08-03 Mina Basirat , Peter M. Roth

Human Activity Recognition (HAR) plays a vital role in healthcare, surveillance, and innovative environments, where reliable action recognition supports timely decision-making and automation. Although deep learning-based HAR systems are…

In recent years, functional neural networks have been proposed and studied in order to approximate nonlinear continuous functionals defined on $L^p([-1, 1]^s)$ for integers $s\ge1$ and $1\le p<\infty$. However, their theoretical properties…

Machine Learning · Statistics 2023-04-11 Linhao Song , Jun Fan , Di-Rong Chen , Ding-Xuan Zhou

Activation functions are critical components in deep neural networks, directly influencing gradient flow, training stability, and model performance. Traditional functions like ReLU suffer from dead neuron problems, while sigmoid and tanh…

Machine Learning · Computer Science 2025-07-31 Sergii Kavun

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

We study the numerical and Boolean expressiveness of MPLang, a declarative language that captures the computation of graph neural networks (GNNs) through linear message passing and activation functions. We begin with A-MPLang, the fragment…

Machine Learning · Computer Science 2026-05-27 Pablo Barceló , Floris Geerts , Matthias Lanzinger , Klara Pakhomenko , Jan Van den Bussche

The loss surfaces of deep neural networks have been the subject of several studies, theoretical and experimental, over the last few years. One strand of work considers the complexity, in the sense of local optima, of high dimensional random…

Motivated by the growing theoretical understanding of neural networks that employ the Rectified Linear Unit (ReLU) as their activation function, we revisit the use of ReLU activation functions for learning implicit neural representations…

Image and Video Processing · Electrical Eng. & Systems 2024-08-05 Joseph Shenouda , Yamin Zhou , Robert D. Nowak

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

Integrating Artificial Intelligence (AI) in educational settings has brought new learning approaches, transforming the practices of both students and educators. Among the various technologies driving this transformation, Large Language…

Computation and Language · Computer Science 2025-06-06 Giorgio Biancini , Alessio Ferrato , Carla Limongelli

Reinforcement learning~(RL) is a versatile framework for learning to solve complex real-world tasks. However, influences on the learning performance of RL algorithms are often poorly understood in practice. We discuss different analysis…

Machine Learning · Computer Science 2023-09-14 Jan Schneider , Pierre Schumacher , Daniel Häufle , Bernhard Schölkopf , Dieter Büchler

An artificial neuron is modelled as a weighted summation followed by an activation function which determines its output. A wide variety of activation functions such as rectified linear units (ReLU), leaky-ReLU, Swish, MISH, etc. have been…

Machine Learning · Computer Science 2019-12-30 Fayyaz ul Amir Afsar Minhas , Amina Asif

Multimodal Large Language Models (MLLMs) have advanced open-world action understanding and can be adapted as generative classifiers for closed-set settings by autoregressively generating action labels as text. However, this approach is…

Computer Vision and Pattern Recognition · Computer Science 2026-03-04 Zhanzhong Pang , Dibyadip Chatterjee , Fadime Sener , Angela Yao

Human action recognition involves the characterization of human actions through the automated analysis of video data and is integral in the development of smart computer vision systems. However, several challenges like dynamic backgrounds,…

Computer Vision and Pattern Recognition · Computer Science 2017-08-24 Jonti Talukdar , Bhavana Mehta

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