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The efficacy of deep neural networks is heavily reliant on the design of non-linear activation functions, yet existing approaches often struggle to balance optimization stability with computational efficiency. While piecewise linear…

Artificial Intelligence · Computer Science 2026-05-05 Wentao Zhang , Yutong Zhang , Yifan Zhu , Wentao Mo

The application of the deep learning model in classification plays an important role in the accurate detection of the target objects. However, the accuracy is affected by the activation function in the hidden and output layer. In this…

Computer Vision and Pattern Recognition · Computer Science 2023-05-22 Md. Mehedi Hasan , Md. Ali Hossain , Azmain Yakin Srizon , Abu Sayeed

In neural networks, non-linearity is introduced by activation functions. One commonly used activation function is Rectified Linear Unit (ReLU). ReLU has been a popular choice as an activation but has flaws. State-of-the-art functions like…

Machine Learning · Computer Science 2021-12-23 Advait Vagerwal

Constructing first-principles models is usually a challenging and time-consuming task due to the complexity of the real-life processes. On the other hand, data-driven modeling, and in particular neural network models often suffer from…

Optimization and Control · Mathematics 2023-02-03 Ece S. Koksal , Erdal Aydin

Activation functions are essential to introduce nonlinearity into neural networks, with the Rectified Linear Unit (ReLU) often favored for its simplicity and effectiveness. Motivated by the structural similarity between a shallow…

Machine Learning · Computer Science 2024-01-30 Jiayun Li , Yuxiao Cheng , Yiwen Lu , Zhuofan Xia , Yilin Mo , Gao Huang

The use of Mixed-Integer Linear Programming (MILP) models to represent neural networks with Rectified Linear Unit (ReLU) activations has become increasingly widespread in the last decade. This has enabled the use of MILP technology to…

Optimization and Control · Mathematics 2024-02-01 Fabian Badilla , Marcos Goycoolea , Gonzalo Muñoz , Thiago Serra

Formal certification of Neural Networks (NNs) is crucial for ensuring their safety, fairness, and robustness. Unfortunately, on the one hand, sound and complete certification algorithms of ReLU-based NNs do not scale to large-scale NNs. On…

Machine Learning · Computer Science 2023-05-24 Haitham Khedr , Yasser Shoukry

In this paper, a novel neural network activation function, called Symmetrical Gaussian Error Linear Unit (SGELU), is proposed to obtain high performance. It is achieved by effectively integrating the property of the stochastic regularizer…

Machine Learning · Computer Science 2019-11-12 Chao Yu , Zhiguo Su

Leveraging sparsity is crucial for optimizing large language model inference. however, modern LLMs employing SiLU as their activation function exhibit minimal activation sparsity. Recent research has proposed replacing SiLU with ReLU to…

Performance · Computer Science 2025-01-27 Jiho Shin , Hoeseok Yang , Youngmin Yi

We present a novel region based active learning method for semantic image segmentation, called MetaBox+. For acquisition, we train a meta regression model to estimate the segment-wise Intersection over Union (IoU) of each predicted segment…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Pascal Colling , Lutz Roese-Koerner , Hanno Gottschalk , Matthias Rottmann

We introduce a new procedure for training of artificial neural networks by using the approximation of an objective function by arithmetic mean of an ensemble of selected randomly generated neural networks, and apply this procedure to the…

Neural and Evolutionary Computing · Computer Science 2012-02-21 S. V. Kozyrev

This work presents an adaptive activation method for neural networks that exploits the interdependency of features. Each pixel, node, and layer is assigned with a polynomial activation function, whose coefficients are provided by an…

Computer Vision and Pattern Recognition · Computer Science 2018-11-22 Jinhyeok Jang , Jaehong Kim , Jaeyeon Lee , Seungjoon Yang

Activation functions play a critical role in deep neural networks by shaping gradient flow, optimization stability, and generalization. While ReLU remains widely used due to its simplicity, it suffers from gradient sparsity and dead-neuron…

Machine Learning · Computer Science 2025-12-03 Ashkan Shakarami , Yousef Yeganeh , Azade Farshad , Lorenzo Nicolè , Stefano Ghidoni , Nassir Navab

In recent years, although U-Net network has made significant progress in the field of image segmentation, it still faces performance bottlenecks in remote sensing image segmentation. In this paper, we innovatively propose to introduce SimAM…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-26 Qiming Yang , Zixin Wang , Shinan Liu , Zizheng Li

Obtaining labeled data for machine learning tasks can be prohibitively expensive. Active learning mitigates this issue by exploring the unlabeled data space and prioritizing the selection of data that can best improve the model performance.…

Machine Learning · Computer Science 2021-04-21 Vineeth Rakesh , Swayambhoo Jain

Feed-forward networks can be interpreted as mappings with linear decision surfaces at the level of the last layer. We investigate how the tangent space of the network can be exploited to refine the decision in case of ReLU (Rectified Linear…

Machine Learning · Computer Science 2021-10-27 Dániel Rácz , Bálint Daróczy

Activation functions introduce nonlinearity into deep neural networks. Most popular activation functions allow positive values to pass through while blocking or suppressing negative values. From the idea that positive values and negative…

Neural and Evolutionary Computing · Computer Science 2024-07-30 Junjia Chen , Zhibin Pan

The activation function plays a crucial role in model optimisation, yet the optimal choice remains unclear. For example, the Sigmoid activation is the de-facto activation in balanced classification tasks, however, in imbalanced…

Computer Vision and Pattern Recognition · Computer Science 2025-11-17 Konstantinos Panagiotis Alexandridis , Jiankang Deng , Anh Nguyen , Shan Luo

Deep ensemble is a simple yet powerful way to improve the performance of deep neural networks. Under this motivation, recent works on mode connectivity have shown that parameters of ensembles are connected by low-loss subspaces, and one can…

Machine Learning · Computer Science 2023-06-21 EungGu Yun , Hyungi Lee , Giung Nam , Juho Lee

Emergence in machine learning refers to the spontaneous appearance of complex behaviors or capabilities that arise from the scale and structure of training data and model architectures, despite not being explicitly programmed. We introduce…

Machine Learning · Computer Science 2025-01-07 Johnny Jingze Li , Vivek Kurien George , Gabriel A. Silva
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