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Certified robustness is a desirable property for deep neural networks in safety-critical applications, and popular training algorithms can certify robustness of a neural network by computing a global bound on its Lipschitz constant.…

Machine Learning · Computer Science 2021-11-03 Yujia Huang , Huan Zhang , Yuanyuan Shi , J Zico Kolter , Anima Anandkumar

Activation functions (AFs) play a pivotal role in the performance of neural networks. The Rectified Linear Unit (ReLU) is currently the most commonly used AF. Several replacements to ReLU have been suggested but improvements have proven…

Neural and Evolutionary Computing · Computer Science 2022-06-27 Raz Lapid , Moshe Sipper

Activation function is a pivotal component of deep learning, facilitating the extraction of intricate data patterns. While classical activation functions like ReLU and its variants are extensively utilized, their static nature and…

Machine Learning · Computer Science 2025-11-04 Barathi Subramanian , Rathinaraja Jeyaraj , Rakhmonov Akhrorjon Akhmadjon Ugli

In the era of Deep Neural Network based solutions for a variety of real-life tasks, having a compact and energy-efficient deployable model has become fairly important. Most of the existing deep architectures use Rectifier Linear Unit (ReLU)…

Machine Learning · Computer Science 2022-06-02 Nancy Nayak , Sheetal Kalyani

Various parallelism, such as data, tensor, and pipeline parallelism, along with memory optimizations like activation checkpointing, redundancy elimination, and offloading, have been proposed to accelerate distributed training for Large…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-26 Zhanda Zhu , Christina Giannoula , Muralidhar Andoorveedu , Qidong Su , Karttikeya Mangalam , Bojian Zheng , Gennady Pekhimenko

The article is devoted to the study of neural networks with one hidden layer and a modified activation function for solving physical problems. A rectified sigmoid activation function has been proposed to solve physical problems described by…

Numerical Analysis · Mathematics 2024-12-31 Vasiliy A. Es'kin , Alexey O. Malkhanov , Mikhail E. Smorkalov

Multi-task image restoration has gained significant interest due to its inherent versatility and efficiency compared to its single-task counterpart. However, performance decline is observed with an increase in the number of tasks, primarily…

Computer Vision and Pattern Recognition · Computer Science 2024-08-19 Xin Lin , Jingtong Yue , Kelvin C. K. Chan , Lu Qi , Chao Ren , Jinshan Pan , Ming-Hsuan Yang

The success of deep learning relies on the availability of large-scale annotated data sets, the acquisition of which can be costly, requiring expert domain knowledge. Semi-supervised learning (SSL) mitigates this challenge by exploiting the…

Machine Learning · Computer Science 2020-09-25 Prashnna Kumar Gyawali , Sandesh Ghimire , Linwei Wang

Although there have been significant advances in the field of image restoration recently, the system complexity of the state-of-the-art (SOTA) methods is increasing as well, which may hinder the convenient analysis and comparison of…

Computer Vision and Pattern Recognition · Computer Science 2022-08-03 Liangyu Chen , Xiaojie Chu , Xiangyu Zhang , Jian Sun

The reason behind CNNs capability to learn high-dimensional complex features from the images is the non-linearity introduced by the activation function. Several advanced activation functions have been discovered to improve the training…

Machine Learning · Computer Science 2022-11-15 Jeevanshi Sharma

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

Activation functions have been shown to affect the performance of deep neural networks significantly. While the Rectified Linear Unit (ReLU) remains the dominant choice in practice, the optimal activation function for deep neural networks…

Machine Learning · Computer Science 2025-07-29 John Chidiac , Danielle Azar

Tremendous advances in image restoration tasks such as denoising and super-resolution have been achieved using neural networks. Such approaches generally employ very deep architectures, large number of parameters, large receptive fields and…

Computer Vision and Pattern Recognition · Computer Science 2018-07-31 Shuhang Gu , Radu Timofte , Luc Van Gool

Rectified linear activation units are important components for state-of-the-art deep convolutional networks. In this paper, we propose a novel S-shaped rectified linear activation unit (SReLU) to learn both convex and non-convex functions,…

Computer Vision and Pattern Recognition · Computer Science 2015-12-23 Xiaojie Jin , Chunyan Xu , Jiashi Feng , Yunchao Wei , Junjun Xiong , Shuicheng Yan

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

It is commonly believed that networks cannot be both accurate and robust, that gaining robustness means losing accuracy. It is also generally believed that, unless making networks larger, network architectural elements would otherwise…

Machine Learning · Computer Science 2021-07-13 Cihang Xie , Mingxing Tan , Boqing Gong , Alan Yuille , Quoc V. Le

Motivated in part by their relevance for low-precision training and quantization, massive activations in large language models (LLMs) have recently emerged as a topic of interest. However, existing analyses are limited in scope, and…

Computation and Language · Computer Science 2025-03-31 Louis Owen , Nilabhra Roy Chowdhury , Abhay Kumar , Fabian Güra

Implicit neural representations (INRs) are a powerful paradigm for modeling data, offering a continuous alternative to discrete signal representations. Their ability to compactly encode complex signals has led to strong performance in many…

Computer Vision and Pattern Recognition · Computer Science 2025-12-15 Pandula Thennakoon , Avishka Ranasinghe , Mario De Silva , Buwaneka Epakanda , Roshan Godaliyadda , Parakrama Ekanayake , Vijitha Herath

A wide variety of activation functions have been proposed for neural networks. The Rectified Linear Unit (ReLU) is especially popular today. There are many practical reasons that motivate the use of the ReLU. This paper provides new…

Machine Learning · Statistics 2020-10-19 Rahul Parhi , Robert D. Nowak

In this paper, we introduce a novel non-linear activation function that spontaneously induces class-compactness and regularization in the embedding space of neural networks. The function is dubbed DOME for Difference Of Mirrored Exponential…

Machine Learning · Computer Science 2021-12-08 Mohamed E. Hussein , Wael AbdAlmageed