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In many classification problems a classifier should be robust to small variations in the input vector. This is a desired property not only for particular transformations, such as translation and rotation in image classification problems,…

Machine Learning · Statistics 2016-01-18 Sergey Demyanov , James Bailey , Ramamohanarao Kotagiri , Christopher Leckie

The backpropagation algorithm remains the dominant and most successful method for training deep neural networks (DNNs). At the same time, training DNNs at scale comes at a significant computational cost and therefore a high carbon…

Machine Learning · Computer Science 2025-11-12 Sander Dalm , Joshua Offergeld , Nasir Ahmad , Marcel van Gerven

Compared to Multilayer Neural Networks with real weights, Binary Multilayer Neural Networks (BMNNs) can be implemented more efficiently on dedicated hardware. BMNNs have been demonstrated to be effective on binary classification tasks with…

Neural and Evolutionary Computing · Computer Science 2015-03-24 Zhiyong Cheng , Daniel Soudry , Zexi Mao , Zhenzhong Lan

Binary neural networks leverage $\mathrm{Sign}$ function to binarize weights and activations, which require gradient estimators to overcome its non-differentiability and will inevitably bring gradient errors during backpropagation. Although…

Computer Vision and Pattern Recognition · Computer Science 2023-07-18 Yefei He , Luoming Zhang , Weijia Wu , Hong Zhou

Network binarization is a promising hardware-aware direction for creating efficient deep models. Despite its memory and computational advantages, reducing the accuracy gap between binary models and their real-valued counterparts remains an…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Adrian Bulat , Brais Martinez , Georgios Tzimiropoulos

As deep learning applications continue to deploy increasingly large artificial neural networks, the associated high energy demands are creating a need for alternative neuromorphic approaches. Optics and photonics are particularly compelling…

Optics · Physics 2025-08-19 Nicola Dal Cin , Florian Marquardt , Clara C. Wanjura

Binary Neural Networks (BNNs) show promising progress in reducing computational and memory costs but suffer from substantial accuracy degradation compared to their real-valued counterparts on large-scale datasets, e.g., ImageNet. Previous…

Machine Learning · Computer Science 2019-06-21 Joseph Bethge , Haojin Yang , Marvin Bornstein , Christoph Meinel

Despite significant recent advances in deep neural networks, training them remains a challenge due to the highly non-convex nature of the objective function. State-of-the-art methods rely on error backpropagation, which suffers from several…

While binary neural networks (BNNs) offer significant benefits in terms of speed, memory and energy, they encounter substantial accuracy degradation in challenging tasks compared to their real-valued counterparts. Due to the binarization of…

Computer Vision and Pattern Recognition · Computer Science 2025-04-01 Xulong Shi , Caiyi Sun , Zhi Qi , Liu Hao , Xiaodong Yang

We introduce a novel scheme to train binary convolutional neural networks (CNNs) -- CNNs with weights and activations constrained to {-1,+1} at run-time. It has been known that using binary weights and activations drastically reduce memory…

Machine Learning · Computer Science 2017-12-01 Xiaofan Lin , Cong Zhao , Wei Pan

Training a neural network using backpropagation algorithm requires passing error gradients sequentially through the network. The backward locking prevents us from updating network layers in parallel and fully leveraging the computing…

Machine Learning · Computer Science 2019-05-30 Zhouyuan Huo , Bin Gu , Heng Huang

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

Binary Neural Networks (BNNs), which constrain both weights and activations to binary values, offer substantial reductions in computational complexity, memory footprint, and energy consumption. These advantages make them particularly well…

Machine Learning · Computer Science 2026-02-18 Luca Colombo , Fabrizio Pittorino , Daniele Zambon , Carlo Baldassi , Manuel Roveri , Cesare Alippi

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

With the prosperity of mobile devices, the distributed learning approach enabling model training with decentralized data has attracted wide research. However, the lack of training capability for edge devices significantly limits the energy…

Machine Learning · Computer Science 2021-05-14 Ziyang Hong , C. Patrick Yue

The artificial neural network is a popular framework in machine learning. To empower individual neurons, we recently suggested that the current type of neurons could be upgraded to 2nd order counterparts, in which the linear operation…

Machine Learning · Computer Science 2017-08-22 Fenglei Fan , Wenxiang Cong , Ge Wang

Ongoing studies have identified similarities between neural representations in biological networks and in deep artificial neural networks. This has led to renewed interest in developing analogies between the backpropagation learning…

Neural and Evolutionary Computing · Computer Science 2019-06-11 Theodore H. Moskovitz , Ashok Litwin-Kumar , L. F. Abbott

A efficient incremental learning algorithm for classification tasks, called NetLines, well adapted for both binary and real-valued input patterns is presented. It generates small compact feedforward neural networks with one hidden layer of…

Artificial Intelligence · Computer Science 2009-04-30 Juan-Manuel Torres-Moreno , Mirta B. Gordon

Convolutional neural networks have achieved astonishing results in different application areas. Various methods that allow us to use these models on mobile and embedded devices have been proposed. Especially binary neural networks are a…

Machine Learning · Computer Science 2018-12-06 Joseph Bethge , Marvin Bornstein , Adrian Loy , Haojin Yang , Christoph Meinel

Binary representation is desirable for its memory efficiency, computation speed and robustness. In this paper, we propose adjustable bounded rectifiers to learn binary representations for deep neural networks. While hard constraining…

Machine Learning · Computer Science 2015-11-20 Zhirong Wu , Dahua Lin , Xiaoou Tang