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Many activation functions have been proposed in the past, but selecting an adequate one requires trial and error. We propose a new methodology of designing activation functions within a neural network at each layer. We call this technique…

Machine Learning · Statistics 2017-02-28 Mark Harmon , Diego Klabjan

Deep networks are gradually penetrating almost every domain in our lives due to their amazing success. However, with substantive performance accuracy improvements comes the price of \emph{irreproducibility}. Two identical models, trained on…

Machine Learning · Computer Science 2020-12-02 Gil I. Shamir , Dong Lin , Lorenzo Coviello

We present a conceptually simple but effective funnel activation for image recognition tasks, called Funnel activation (FReLU), that extends ReLU and PReLU to a 2D activation by adding a negligible overhead of spatial condition. The forms…

Computer Vision and Pattern Recognition · Computer Science 2020-07-27 Ningning Ma , Xiangyu Zhang , Jian Sun

Fourier Analysis Network (FAN) was recently proposed as a simple way to improve neural network performance by replacing part of Rectified Linear Unit (ReLU) activations with sine and cosine functions. Although several studies have reported…

Machine Learning · Computer Science 2026-03-16 Sam Jeong , Hae Yong Kim

Ternary quantization has emerged as a powerful technique for reducing both computational and memory footprint of large language models (LLM), enabling efficient real-time inference deployment without significantly compromising model…

Hardware Architecture · Computer Science 2025-09-18 Zhirui Huang , Rui Ma , Shijie Cao , Ran Shu , Ian Wang , Ting Cao , Chixiao Chen , Yongqiang Xiong

Traditional Convolutional Neural Networks (CNNs) typically use the same activation function (usually ReLU) for all neurons with non-linear mapping operations. For example, the deep convolutional architecture Inception-v4 uses ReLU. To…

Computer Vision and Pattern Recognition · Computer Science 2018-05-31 Luna M. Zhang

Neural networks have become indispensable for a wide range of applications, but they suffer from high computational- and memory-requirements, requiring optimizations from the algorithmic description of the network to the hardware…

Signal Processing · Electrical Eng. & Systems 2020-05-05 Andreas Toftegaard Kristensen , Robert Giterman , Alexios Balatsoukas-Stimming , Andreas Burg

Activation functions shape the outputs of artificial neurons and, therefore, are integral parts of neural networks in general and deep learning in particular. Some activation functions, such as logistic and relu, have been used for many…

Machine Learning · Computer Science 2021-01-26 Johannes Lederer

Automated design of neural network architectures tailored for a specific task is an extremely promising, albeit inherently difficult, avenue to explore. While most results in this domain have been achieved on image classification and…

Computer Vision and Pattern Recognition · Computer Science 2019-05-20 Vladimir Nekrasov , Hao Chen , Chunhua Shen , Ian Reid

In this paper we investigate the performance of different types of rectified activation functions in convolutional neural network: standard rectified linear unit (ReLU), leaky rectified linear unit (Leaky ReLU), parametric rectified linear…

Machine Learning · Computer Science 2015-11-30 Bing Xu , Naiyan Wang , Tianqi Chen , Mu Li

Activation function is a key component in deep learning that performs non-linear mappings between the inputs and outputs. Rectified Linear Unit (ReLU) has been the most popular activation function across the deep learning community.…

Machine Learning · Computer Science 2022-03-01 Hock Hung Chieng , Noorhaniza Wahid , Pauline Ong

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

Sparse Neural Networks (SNNs) can potentially demonstrate similar performance to their dense counterparts while saving significant energy and memory at inference. However, the accuracy drop incurred by SNNs, especially at high pruning…

Machine Learning · Computer Science 2023-06-06 Mohammad Loni , Aditya Mohan , Mehdi Asadi , Marius Lindauer

We propose \textbf{ULU}, a novel non-monotonic, piecewise activation function defined as $\{f(x;\alpha_1),x<0; f(x;\alpha_2),x>=0 \}$, where $f(x;\alpha)=0.5x(tanh(\alpha x)+1),\alpha >0$. ULU treats positive and negative inputs…

Machine Learning · Computer Science 2025-08-08 Simin Huo

Integer-arithmetic-only networks have been demonstrated effective to reduce computational cost and to ensure cross-platform consistency. However, previous works usually report a decline in the inference accuracy when converting well-trained…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Hengrui Zhao , Dong Liu , Houqiang Li

Lipschitz-constrained neural networks have many applications in machine learning. Since designing and training expressive Lipschitz-constrained networks is very challenging, there is a need for improved methods and a better theoretical…

Machine Learning · Computer Science 2022-04-14 Sebastian Neumayer , Alexis Goujon , Pakshal Bohra , Michael Unser

SWIN transformer is a prominent vision transformer model that has state-of-the-art accuracy in image classification tasks. Despite this success, its unique architecture causes slower inference compared with similar deep neural networks.…

Computer Vision and Pattern Recognition · Computer Science 2024-02-05 Mohammadreza Tayaranian , Seyyed Hasan Mozafari , James J. Clark , Brett Meyer , Warren Gross

Intensive computation is entering data centers with multiple workloads of deep learning. To balance the compute efficiency, performance, and total cost of ownership (TCO), the use of a field-programmable gate array (FPGA) with…

Computer Vision and Pattern Recognition · Computer Science 2019-09-19 Xiaoyu Yu , Yuwei Wang , Jie Miao , Ephrem Wu , Heng Zhang , Yu Meng , Bo Zhang , Biao Min , Dewei Chen , Jianlin Gao

Well-known activation functions like ReLU or Leaky ReLU are non-differentiable at the origin. Over the years, many smooth approximations of ReLU have been proposed using various smoothing techniques. We propose new smooth approximations of…

Machine Learning · Computer Science 2021-09-28 Koushik Biswas , Sandeep Kumar , Shilpak Banerjee , Ashish Kumar Pandey

In this paper, we revise two commonly used saturated functions, the logistic sigmoid and the hyperbolic tangent (tanh). We point out that, besides the well-known non-zero centered property, slope of the activation function near the origin…

Machine Learning · Computer Science 2016-05-03 Bing Xu , Ruitong Huang , Mu Li