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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

We present, QP-SBGD, a novel layer-wise stochastic optimiser tailored towards training neural networks with binary weights, known as binary neural networks (BNNs), on quantum hardware. BNNs reduce the computational requirements and energy…

Computer Vision and Pattern Recognition · Computer Science 2024-09-05 Maximilian Krahn , Michele Sasdelli , Fengyi Yang , Vladislav Golyanik , Juho Kannala , Tat-Jun Chin , Tolga Birdal

In this paper, we study 1-bit convolutional neural networks (CNNs), of which both the weights and activations are binary. While efficient, the lacking of representational capability and the training difficulty impede 1-bit CNNs from…

Computer Vision and Pattern Recognition · Computer Science 2019-09-05 Zechun Liu , Wenhan Luo , Baoyuan Wu , Xin Yang , Wei Liu , Kwang-Ting Cheng

We study the relationship between the frequency of a function and the speed at which a neural network learns it. We build on recent results that show that the dynamics of overparameterized neural networks trained with gradient descent can…

Machine Learning · Computer Science 2019-12-03 Ronen Basri , David Jacobs , Yoni Kasten , Shira Kritchman

Recently developed adversarial weight attack, a.k.a. bit-flip attack (BFA), has shown enormous success in compromising Deep Neural Network (DNN) performance with an extremely small amount of model parameter perturbation. To defend against…

Machine Learning · Computer Science 2021-03-26 Adnan Siraj Rakin , Li Yang , Jingtao Li , Fan Yao , Chaitali Chakrabarti , Yu Cao , Jae-sun Seo , Deliang Fan

Recent methods have significantly reduced the performance degradation of Binary Neural Networks (BNNs), but guaranteeing the effective and efficient training of BNNs is an unsolved problem. The main reason is that the estimated gradients…

Computer Vision and Pattern Recognition · Computer Science 2020-09-30 Junjie Liu , Dongchao Wen , Deyu Wang , Wei Tao , Tse-Wei Chen , Kinya Osa , Masami Kato

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

The quantized neural network (QNN) is an efficient approach for network compression and can be widely used in the implementation of FPGAs. This paper proposes a novel learning framework for n-bit QNNs, whose weights are constrained to the…

Machine Learning · Computer Science 2020-04-07 Jun Chen , Liang Liu , Yong Liu , Xianfang Zeng

In this paper, we propose a new first-order gradient-based algorithm to train deep neural networks. We first introduce the sign operation of stochastic gradients (as in sign-based methods, e.g., SIGN-SGD) into ADAM, which is called as…

Computer Vision and Pattern Recognition · Computer Science 2019-07-23 Dong Wang , Yicheng Liu , Wenwo Tang , Fanhua Shang , Hongying Liu , Qigong Sun , Licheng Jiao

We present an architecture of a recurrent neural network (RNN) with a fully-connected deep neural network (DNN) as its feature extractor. The RNN is equipped with both causal temporal prediction and non-causal look-ahead, via…

Machine Learning · Computer Science 2014-03-07 Jianshu Chen , Li Deng

This paper shows how to train binary networks to within a few percent points ($\sim 3-5 \%$) of the full precision counterpart. We first show how to build a strong baseline, which already achieves state-of-the-art accuracy, by combining…

Computer Vision and Pattern Recognition · Computer Science 2020-03-26 Brais Martinez , Jing Yang , Adrian Bulat , Georgios Tzimiropoulos

We explore training Binary Neural Networks (BNNs) as a discrete variable inference problem over a factor graph. We study the behaviour of this conversion in an under-parameterized BNN setting and propose stochastic versions of Belief…

Machine Learning · Computer Science 2022-04-06 Amir Khoshaman , Giuseppe Castiglione , Christopher Srinivasa

We propose a new method for feature learning and function estimation in supervised learning via regularised empirical risk minimisation. Our approach considers functions as expectations of Sobolev functions over all possible one-dimensional…

Machine Learning · Statistics 2025-05-01 Bertille Follain , Francis Bach

Binary Spiking Neural Networks (BSNNs) inherit the eventdriven paradigm of SNNs, while also adopting the reduced storage burden of binarization techniques. These distinct advantages grant BSNNs lightweight and energy-efficient…

Computer Vision and Pattern Recognition · Computer Science 2025-02-21 Yu Liang , Wenjie Wei , Ammar Belatreche , Honglin Cao , Zijian Zhou , Shuai Wang , Malu Zhang , Yang Yang

Accurate sleep stage classification across datasets remains challenging due to variability in EEG channel montages, sampling rates, recording environments, and subject populations. Although deep learning has shown considerable promise for…

Machine Learning · Computer Science 2026-05-11 Unaza Tallal , Shruti Kshirsagar , Ankita Shukla

As of today, object categorization algorithms are not able to achieve the level of robustness and generality necessary to work reliably in the real world. Even the most powerful convolutional neural network we can train fails to perform…

Computer Vision and Pattern Recognition · Computer Science 2015-03-27 Faraz Saeedan , Barbara Caputo

Adversarial attacks make their success in DNNs, and among them, gradient-based algorithms become one of the mainstreams. Based on the linearity hypothesis, under $\ell_\infty$ constraint, $sign$ operation applied to the gradients is a good…

Computer Vision and Pattern Recognition · Computer Science 2022-02-07 Yaya Cheng , Jingkuan Song , Xiaosu Zhu , Qilong Zhang , Lianli Gao , Heng Tao Shen

We propose a new class of Bayesian neural networks (BNNs) that can be trained using noisy data of variable fidelity, and we apply them to learn function approximations as well as to solve inverse problems based on partial differential…

Machine Learning · Computer Science 2021-06-02 Xuhui Meng , Hessam Babaee , George Em Karniadakis

Backpropagation is driving today's artificial neural networks (ANNs). However, despite extensive research, it remains unclear if the brain implements this algorithm. Among neuroscientists, reinforcement learning (RL) algorithms are often…

Neurons and Cognition · Quantitative Biology 2020-04-24 Benjamin James Lansdell , Prashanth Ravi Prakash , Konrad Paul Kording

When neural networks (NNs) are used as a type of nonlinear parametric representation to solve partial differential equations (PDEs), they often display frequency-dependent learning dynamics that can differ from those seen in direct function…

Numerical Analysis · Mathematics 2026-03-03 Roy Y. He , Ying Liang , Hongkai Zhao , Yimin Zhong