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We propose and analyze a new family of algorithms for training neural networks with ReLU activations. Our algorithms are based on the technique of alternating minimization: estimating the activation patterns of each ReLU for all given…

Machine Learning · Computer Science 2018-10-12 Gauri Jagatap , Chinmay Hegde

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

Weight and activation binarization can efficiently compress deep neural networks and accelerate model inference, but cause severe accuracy degradation. Existing optimization methods for binary neural networks (BNNs) focus on fitting…

Computer Vision and Pattern Recognition · Computer Science 2022-10-07 Ping Xue , Yang Lu , Jingfei Chang , Xing Wei , Zhen Wei

We propose a simple extension to the ReLU-family of activation functions that allows them to shift the mean activation across a layer towards zero. Combined with proper weight initialization, this alleviates the need for normalization…

Machine Learning · Statistics 2018-03-16 Lars Eidnes , Arild Nøkland

The choice of activation function in deep networks has a significant effect on the training dynamics and task performance. At present, the most effective and widely-used activation function is ReLU. However, because of the non-zero mean,…

Computer Vision and Pattern Recognition · Computer Science 2020-03-03 Yuan Zhou , Dandan Li , Shuwei Huo , Sun-Yuan Kung

Binary convolutional neural networks (BCNNs) provide a potential solution to reduce the memory requirements and computational costs associated with deep neural networks (DNNs). However, achieving a trade-off between performance and…

Machine Learning · Computer Science 2024-05-15 Po-Hsun Chu , Ching-Han Chen

Previous studies dominantly target at self-supervised learning on real-valued networks and have achieved many promising results. However, on the more challenging binary neural networks (BNNs), this task has not yet been fully explored in…

Computer Vision and Pattern Recognition · Computer Science 2021-06-22 Zhiqiang Shen , Zechun Liu , Jie Qin , Lei Huang , Kwang-Ting Cheng , Marios Savvides

Binarization is a powerful compression technique for neural networks, significantly reducing FLOPs, but often results in a significant drop in model performance. To address this issue, partial binarization techniques have been developed,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-07 Udbhav Bamba , Neeraj Anand , Saksham Aggarwal , Dilip K. Prasad , Deepak K. Gupta

The ever-growing computational demands of increasingly complex machine learning models frequently necessitate the use of powerful cloud-based infrastructure for their training. Binary neural networks are known to be promising candidates for…

We study neural networks with trainable low-degree rational activation functions and show that they are more expressive and parameter-efficient than modern piecewise-linear and smooth activations such as ELU, LeakyReLU, LogSigmoid, PReLU,…

Machine Learning · Computer Science 2026-02-16 Maosen Tang , Alex Townsend

Based on the assumption that there exists a neural network that efficiently represents a set of Boolean functions between all binary inputs and outputs, we propose a process for developing and deploying neural networks whose weight…

Machine Learning · Computer Science 2020-02-25 Minje Kim , Paris Smaragdis

Recurrent Neural Networks (RNNs) are very successful at solving challenging problems with sequential data. However, this observed efficiency is not yet entirely explained by theory. It is known that a certain class of multiplicative RNNs…

Machine Learning · Computer Science 2019-01-31 Valentin Khrulkov , Oleksii Hrinchuk , Ivan Oseledets

We consider functions from the real numbers to the real numbers, output by a neural network with 1 hidden activation layer, arbitrary width, and ReLU activation function. We assume that the parameters of the neural network are chosen…

Machine Learning · Computer Science 2023-04-20 David Holmes

Binary Neural Networks emerged as a cost-effective and energy-efficient solution for computer vision tasks by binarizing either network weights or activations. However, common binary activations, such as the Sign activation function,…

Computer Vision and Pattern Recognition · Computer Science 2024-05-10 Brayan Monroy , Juan Estupiñan , Tatiana Gelvez-Barrera , Jorge Bacca , Henry Arguello

Binarized convolutional neural networks (BCNNs) are widely used to improve memory and computation efficiency of deep convolutional neural networks (DCNNs) for mobile and AI chips based applications. However, current BCNNs are not able to…

Computer Vision and Pattern Recognition · Computer Science 2019-09-09 Chunlei Liu , Wenrui Ding , Xin Xia , Yuan Hu , Baochang Zhang , Jianzhuang Liu , Bohan Zhuang , Guodong Guo

As modern deep learning architectures grow in complexity, representational ambiguity emerges as a critical barrier to their interpretability and reliable merging. For ReLU networks, identical functional mappings can be achieved through…

Machine Learning · Computer Science 2026-04-21 Kutomanov Hennadii

Binary Convolutional Neural Networks (CNNs) can significantly reduce the number of arithmetic operations and the size of memory storage, which makes the deployment of CNNs on mobile or embedded systems more promising. However, the accuracy…

Computer Vision and Pattern Recognition · Computer Science 2020-09-01 Baozhou Zhu , Zaid Al-Ars , Wei Pan

Activation functions in neural networks are typically selected from a set of empirically validated, commonly used static functions such as ReLU, tanh, or sigmoid. However, by optimizing the shapes of a network's activation functions, we can…

Machine Learning · Computer Science 2025-09-24 William H Patty

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

Binary neural networks are the extreme case of network quantization, which has long been thought of as a potential edge machine learning solution. However, the significant accuracy gap to the full-precision counterparts restricts their…

Computer Vision and Pattern Recognition · Computer Science 2022-12-14 Nianhui Guo , Joseph Bethge , Christoph Meinel , Haojin Yang