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The performance of a neural network for a given task is largely determined by the initial calibration of the network parameters. Yet, it has been shown that the calibration, also referred to as training, is generally NP-complete. This…

Quantum Physics · Physics 2019-11-21 Yidong Liao , Daniel Ebler , Feiyang Liu , Oscar Dahlsten

We propose a new algorithm for training deep neural networks (DNNs) with binary weights. In particular, we first cast the problem of training binary neural networks (BiNNs) as a bilevel optimization instance and subsequently construct…

Machine Learning · Computer Science 2021-12-07 Huu Le , Rasmus Kjær Høier , Che-Tsung Lin , Christopher Zach

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

Binary Neural Networks (BNNs) show great promise for real-world embedded devices. As one of the critical steps to achieve a powerful BNN, the scale factor calculation plays an essential role in reducing the performance gap to their…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Sheng Xu , Yanjing Li , Tiancheng Wang , Teli Ma , Baochang Zhang , Peng Gao , Yu Qiao , Jinhu Lv , Guodong Guo

Recent theoretical work has demonstrated that deep neural networks have superior performance over shallow networks, but their training is more difficult, e.g., they suffer from the vanishing gradient problem. This problem can be typically…

Machine Learning · Statistics 2021-11-03 Lu Lu , Yanhui Su , George Em Karniadakis

Feedback alignment algorithms are an alternative to backpropagation to train neural networks, whereby some of the partial derivatives that are required to compute the gradient are replaced by random terms. This essentially transforms the…

Machine Learning · Computer Science 2023-06-06 Dominique Chu , Florian Bacho

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

The best performing Binary Neural Networks (BNNs) are usually attained using Adam optimization and its multi-step training variants. However, to the best of our knowledge, few studies explore the fundamental reasons why Adam is superior to…

Machine Learning · Computer Science 2021-06-22 Zechun Liu , Zhiqiang Shen , Shichao Li , Koen Helwegen , Dong Huang , Kwang-Ting Cheng

Deep neural networks often suffer from poor performance or even training failure due to the ill-conditioned problem, the vanishing/exploding gradient problem, and the saddle point problem. In this paper, a novel method by acting the…

Computer Vision and Pattern Recognition · Computer Science 2021-07-12 Mei Liu , Liangming Chen , Xiaohao Du , Long Jin , Mingsheng Shang

Deep neural networks have significantly improved performance on a range of tasks with the increasing demand for computational resources, leaving deployment on low-resource devices (with limited memory and battery power) infeasible. Binary…

Machine Learning · Computer Science 2022-06-22 Aaqib Saeed

Binary neural networks (BNNs) have 1-bit weights and activations. Such networks are well suited for FPGAs, as their dominant computations are bitwise arithmetic and the memory requirement is also significantly reduced. However, compared to…

Machine Learning · Computer Science 2020-12-23 Yichi Zhang , Junhao Pan , Xinheng Liu , Hongzheng Chen , Deming Chen , Zhiru Zhang

In active learning, the size and complexity of the training dataset changes over time. Simple models that are well specified by the amount of data available at the start of active learning might suffer from bias as more points are actively…

Machine Learning · Computer Science 2022-05-05 Chelsea Murray , James U. Allingham , Javier Antorán , José Miguel Hernández-Lobato

This paper studies the problem of training a two-layer ReLU network for binary classification using gradient flow with small initialization. We consider a training dataset with well-separated input vectors: Any pair of input data with the…

Machine Learning · Computer Science 2024-03-26 Hancheng Min , Enrique Mallada , René Vidal

Binary neural networks have attracted numerous attention in recent years. However, mainly due to the information loss stemming from the biased binarization, how to preserve the accuracy of networks still remains a critical issue. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-02-12 Mingzhu Shen , Xianglong Liu , Ruihao Gong , Kai Han

In this work, we study the binary neural networks (BNNs) of which both the weights and activations are binary (i.e., 1-bit representation). Feature representation is critical for deep neural networks, while in BNNs, the features only differ…

Computer Vision and Pattern Recognition · Computer Science 2022-03-01 Ping Xue , Yang Lu , Jingfei Chang , Xing Wei , Zhen Wei

Deep learning needs high-precision handling of forwarding signals, backpropagating errors, and updating weights. This is inherently required by the learning algorithm since the gradient descent learning rule relies on the chain product of…

Neural and Evolutionary Computing · Computer Science 2024-12-30 Yang Li , Wei Wang , Ming Wang , Chunmeng Dou , Zhengyu Ma , Huihui Zhou , Peng Zhang , Nicola Lepri , Xumeng Zhang , Qing Luo , Xiaoxin Xu , Guanhua Yang , Feng Zhang , Ling Li , Daniele Ielmini , Ming Liu

Binarization of neural networks is a dominant paradigm in neural networks compression. The pioneering work BinaryConnect uses Straight Through Estimator (STE) to mimic the gradients of the sign function, but it also causes the crucial…

Computer Vision and Pattern Recognition · Computer Science 2023-08-28 Xiao-Ming Wu , Dian Zheng , Zuhao Liu , Wei-Shi Zheng

Backpropagation (BP) remains the dominant and most successful method for training parameters of deep neural network models. However, BP relies on two computationally distinct phases, does not provide a satisfactory explanation of biological…

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

Quantization reduces computation costs of neural networks but suffers from performance degeneration. Is this accuracy drop due to the reduced capacity, or inefficient training during the quantization procedure? After looking into the…

Computer Vision and Pattern Recognition · Computer Science 2019-12-24 Qing Jin , Linjie Yang , Zhenyu Liao

A novel gradient boosting framework is proposed where shallow neural networks are employed as ``weak learners''. General loss functions are considered under this unified framework with specific examples presented for classification,…

Machine Learning · Computer Science 2020-06-16 Sarkhan Badirli , Xuanqing Liu , Zhengming Xing , Avradeep Bhowmik , Khoa Doan , Sathiya S. Keerthi