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Non-linear activation functions, e.g., Sigmoid, ReLU, and Tanh, have achieved great success in neural networks (NNs). Due to the complex non-linear characteristic of samples, the objective of those activation functions is to project samples…

Machine Learning · Computer Science 2022-03-23 Tiantian He , Zhibin Li , Yongshun Gong , Yazhou Yao , Xiushan Nie , Yilong Yin

Multi-task learning (MTL) is a common paradigm that seeks to improve the generalization performance of task learning by training related tasks simultaneously. However, it is still a challenging problem to search the flexible and accurate…

Machine Learning · Computer Science 2019-11-20 Yingru Liu , Xuewen Yang , Dongliang Xie , Xin Wang , Li Shen , Haozhi Huang , Niranjan Balasubramanian

In Neural Networks (NN), Adaptive Activation Functions (AAF) have parameters that control the shapes of activation functions. These parameters are trained along with other parameters in the NN. AAFs have improved performance of Neural…

Computer Vision and Pattern Recognition · Computer Science 2016-08-24 Le Hou , Dimitris Samaras , Tahsin M. Kurc , Yi Gao , Joel H. Saltz

In this paper, we introduce a novel type of Rectified Linear Unit (ReLU), called a Dual Rectified Linear Unit (DReLU). A DReLU, which comes with an unbounded positive and negative image, can be used as a drop-in replacement for a tanh…

Computation and Language · Computer Science 2019-03-01 Fréderic Godin , Jonas Degrave , Joni Dambre , Wesley De Neve

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

The widely used ReLU is favored for its hardware efficiency, {as the implementation at inference is a one bit sign case,} yet suffers from issues such as the ``dying ReLU'' problem, where during training, neurons fail to activate and…

Machine Learning · Computer Science 2025-10-31 Moshe Kimhi , Idan Kashani , Avi Mendelson , Chaim Baskin

Deploying deep neural networks (DNNs) in real-world environments poses challenges due to faults that can manifest in physical hardware from radiation, aging, and temperature fluctuations. To address this, previous works have focused on…

Machine Learning · Computer Science 2024-12-02 Ninnart Fuengfusin , Hakaru Tamukoh

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

Consider the multivariate nonparametric regression model. It is shown that estimators based on sparsely connected deep neural networks with ReLU activation function and properly chosen network architecture achieve the minimax rates of…

Statistics Theory · Mathematics 2020-09-15 Johannes Schmidt-Hieber

Deep neural networks (DNNs), particularly those using Rectified Linear Unit (ReLU) activation functions, have achieved remarkable success across diverse machine learning tasks, including image recognition, audio processing, and language…

Machine Learning · Computer Science 2026-03-26 Emi Zeger , Mert Pilanci

This article proposes a Universal Activation Function (UAF) that achieves near optimal performance in quantification, classification, and reinforcement learning (RL) problems. For any given problem, the optimization algorithms are able to…

Machine Learning · Computer Science 2022-11-07 Brosnan Yuen , Minh Tu Hoang , Xiaodai Dong , Tao Lu

As AI becomes a native component of 6G network control, AI models must adapt to continuously changing conditions, including the introduction of new features and measurements driven by multi-vendor deployments, hardware upgrades, and…

Machine Learning · Computer Science 2025-10-10 Yannis Belkhiter , Seshu Tirupathi , Giulio Zizzo , Merim Dzaferagic , John D. Kelleher

This work contributes to the development of a new data-driven method (D-DM) of feedforward neural networks (FNNs) learning. This method was proposed recently as a way of improving randomized learning of FNNs by adjusting the network…

Machine Learning · Computer Science 2021-07-07 Grzegorz Dudek

Most deep neural networks use simple, fixed activation functions, such as sigmoids or rectified linear units, regardless of domain or network structure. We introduce differential equation units (DEUs), an improvement to modern neural…

Machine Learning · Computer Science 2019-09-10 MohamadAli Torkamani , Shiv Shankar , Amirmohammad Rooshenas , Phillip Wallis

The non-convex nature of trained neural networks has created significant obstacles in their incorporation into optimization models. In this context, Anderson et al. (2020) provided a framework to obtain the convex hull of the graph of a…

Optimization and Control · Mathematics 2026-04-01 Pablo Carrasco , Gonzalo Muñoz

Adversarial training is an effective method to improve the machine learning (ML) model robustness. Most existing studies typically consider the Rectified linear unit (ReLU) activation function and centralized training environments. In this…

Machine Learning · Computer Science 2025-12-05 Long Dang , Thushari Hapuarachchi , Kaiqi Xiong , Jing Lin

The impressive expressive power of deep neural networks (DNNs) underlies their widespread applicability. However, while the theoretical capacity of deep architectures is high, the practical expressive power achieved through successful…

Machine Learning · Computer Science 2023-12-21 Zezhong Zhang , Feng Bao , Guannan Zhang

Deep neural network (DNN) typically involves convolutions, pooling, and activation function. Due to the growing concern about privacy, privacy-preserving DNN becomes a hot research topic. Generally, the convolution and pooling operations…

Cryptography and Security · Computer Science 2024-03-04 Qian Feng , Zhihua Xia , Zhifeng Xu , Jiasi Weng , Jian Weng

The paper discusses the use of the Absolute activation function in classification neural networks. An examples are shown of using this activation function in simple and more complex problems. Using as a baseline LeNet-5 network for solving…

Machine Learning · Computer Science 2023-04-25 Oleg I. Berngardt

Learning automatically the best activation function for the task is an active topic in neural network research. At the moment, despite promising results, it is still difficult to determine a method for learning an activation function that…

Machine Learning · Computer Science 2019-10-29 Andrea Apicella , Francesco Isgrò , Roberto Prevete
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