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Despite their prevalence in neural networks we still lack a thorough theoretical characterization of ReLU layers. This paper aims to further our understanding of ReLU layers by studying how the activation function ReLU interacts with the…

Machine Learning · Computer Science 2019-08-13 Sören Dittmer , Emily J. King , Peter Maass

In this paper, we propose to train convolutional neural networks (CNNs) with both binarized weights and activations, leading to quantized models specifically} for mobile devices with limited power capacity and computation resources.…

Computer Vision and Pattern Recognition · Computer Science 2018-11-29 Bohan Zhuang , Chunhua Shen , Mingkui Tan , Lingqiao Liu , Ian Reid

In this work, we propose to train a deep neural network by distributed optimization over a graph. Two nonlinear functions are considered: the rectified linear unit (ReLU) and a linear unit with both lower and upper cutoffs (DCutLU). The…

Machine Learning · Computer Science 2017-06-20 Guoqiang Zhang , W. Bastiaan Kleijn

For neural networks (NNs) with rectified linear unit (ReLU) or binary activation functions, we show that their training can be accomplished in a reduced parameter space. Specifically, the weights in each neuron can be trained on the unit…

Machine Learning · Statistics 2020-01-30 Tong Qin , Ling Zhou , Dongbin Xiu

As a widely used non-linear activation, Rectified Linear Unit (ReLU) separates noise and signal in a feature map by learning a threshold or bias. However, we argue that the classification of noise and signal not only depends on the…

Computer Vision and Pattern Recognition · Computer Science 2016-04-05 Hongyang Li , Wanli Ouyang , Xiaogang Wang

We present a comprehensive study of multilayer neural networks with binary activation, relying on the PAC-Bayesian theory. Our contributions are twofold: (i) we develop an end-to-end framework to train a binary activated deep neural…

Machine Learning · Computer Science 2020-02-05 Gaël Letarte , Pascal Germain , Benjamin Guedj , François Laviolette

Binary neural networks (BNN) have been studied extensively since they run dramatically faster at lower memory and power consumption than floating-point networks, thanks to the efficiency of bit operations. However, contemporary BNNs whose…

Machine Learning · Computer Science 2018-12-04 Shilin Zhu , Xin Dong , Hao Su

Finding minimum distortion of adversarial examples and thus certifying robustness in neural network classifiers for given data points is known to be a challenging problem. Nevertheless, recently it has been shown to be possible to give a…

Machine Learning · Computer Science 2018-11-05 Huan Zhang , Tsui-Wei Weng , Pin-Yu Chen , Cho-Jui Hsieh , Luca Daniel

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

Backbone architectures of most binary networks are well-known floating point architectures such as the ResNet family. Questioning that the architectures designed for floating point networks would not be the best for binary networks, we…

Computer Vision and Pattern Recognition · Computer Science 2020-04-13 Dahyun Kim , Kunal Pratap Singh , Jonghyun Choi

Neural networks are regularly employed in adaptive control of nonlinear systems and related methods of reinforcement learning. A common architecture uses a neural network with a single hidden layer (i.e. a shallow network), in which the…

Optimization and Control · Mathematics 2024-04-18 Andrew Lamperski , Tyler Lekang

Deep generative models provide a powerful set of tools to understand real-world data. But as these models improve, they increase in size and complexity, so their computational cost in memory and execution time grows. Using binary weights in…

Machine Learning · Computer Science 2021-05-05 Thomas Bird , Friso H. Kingma , David Barber

ReLU neural networks define piecewise linear functions of their inputs. However, initializing and training a neural network is very different from fitting a linear spline. In this paper, we expand empirically upon previous theoretical work…

Machine Learning · Statistics 2016-11-30 Kevin K. Chen , Anthony Gamst , Alden Walker

Although Convolutional Neural Networks (CNNs) achieve effectiveness in various computer vision tasks, the significant requirement of storage of such networks hinders the deployment on computationally limited devices. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2019-02-28 Jinpeng Xia , Jiasong Wu , Youyong Kong , Pinzheng Zhang , Lotfi Senhadji , Huazhong Shu

We propose a novel randomized algorithm for constructing binary neural networks with tunable accuracy. This approach is motivated by hyperdimensional computing (HDC), which is a brain-inspired paradigm that leverages high-dimensional vector…

Machine Learning · Computer Science 2025-11-27 Alireza Aghasi , Nicholas Marshall , Saeid Pourmand , Wyatt Whiting

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

In an attempt to better understand structural benefits and generalization power of deep neural networks, we firstly present a novel graph theoretical formulation of neural network models, including fully connected, residual network (ResNet)…

Machine Learning · Computer Science 2023-05-29 Yuqing Li , Tao Luo , Chao Ma

Binarization is an attractive strategy for implementing lightweight Deep Convolutional Neural Networks (CNNs). Despite the unquestionable savings offered, memory footprint above all, it may induce an excessive accuracy loss that prevents a…

Machine Learning · Computer Science 2019-12-30 Luca Mocerino , Andrea Calimera

An activation function is a crucial component of a neural network that introduces non-linearity in the network. The state-of-the-art performance of a neural network depends also on the perfect choice of an activation function. We propose…

Neural and Evolutionary Computing · Computer Science 2022-03-25 Koushik Biswas , Sandeep Kumar , Shilpak Banerjee , Ashish Kumar Pandey

Recently, deep neural networks (DNNs) have been used extensively for automatic modulation classification (AMC), and the results have been quite promising. However, DNNs have high memory and computation requirements making them impractical…

Information Theory · Computer Science 2023-04-19 Deepsayan Sadhukhan , Nitin Priyadarshini Shankar , Nancy Nayak , Thulasi Tholeti , Sheetal Kalyani
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