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Implementation of quantized neural networks on computing hardware leads to considerable speed up and memory saving. However, quantized deep networks are difficult to train and batch~normalization (BatchNorm) layer plays an important role in…

Machine Learning · Computer Science 2020-04-30 Eyyüb Sari , Vahid Partovi Nia

Standard convolutional neural networks(CNNs) require consistent image resolutions in both training and testing phase. However, in practice, testing with smaller image sizes is necessary for fast inference. We show that trivially evaluating…

Computer Vision and Pattern Recognition · Computer Science 2020-09-08 Zhuoran Yu , Aojun Zhou , Yukun Ma , Yudian Li , Xiaohan Zhang , Ping Luo

We introduce a novel combination of Bayesian Models (BMs) and Neural Networks (NNs) for making predictions with a minimum expected risk. Our approach combines the best of both worlds, the data efficiency and interpretability of a BM with…

Machine Learning · Computer Science 2021-09-28 Mathias Löwe , Per Lunnemann Hansen , Sebastian Risi

In this study, classification problems based on feedforward neural networks in a data-imbalanced environment are considered. Learning from an imbalanced dataset is one of the most important practical problems in the field of machine…

Machine Learning · Statistics 2020-12-23 Muneki Yasuda , Yeo Xian En , Seishirou Ueno

Optimization techniques are of great importance to effectively and efficiently train a deep neural network (DNN). It has been shown that using the first and second order statistics (e.g., mean and variance) to perform Z-score…

Computer Vision and Pattern Recognition · Computer Science 2020-04-09 Hongwei Yong , Jianqiang Huang , Xiansheng Hua , Lei Zhang

Quantised neural networks (QNNs) shrink models and reduce inference energy through low-bit arithmetic, yet most still depend on a running statistics batch normalisation (BN) layer, preventing true integer-only deployment. Prior attempts…

Machine Learning · Computer Science 2025-12-19 Pengfei Sun , Wenyu Jiang , Piew Yoong Chee , Paul Devos , Dick Botteldooren

Distributed learning is an effective way to analyze big data. In distributed regression, a typical approach is to divide the big data into multiple blocks, apply a base regression algorithm on each of them, and then simply average the…

Machine Learning · Computer Science 2017-08-08 Zhengchu Guo , Lei Shi , Qiang Wu

In this paper, we study normalization methods for neural networks from the perspective of elimination singularity. Elimination singularities correspond to the points on the training trajectory where neurons become consistently deactivated.…

Computer Vision and Pattern Recognition · Computer Science 2020-08-10 Siyuan Qiao , Huiyu Wang , Chenxi Liu , Wei Shen , Alan Yuille

As a promising distributed learning paradigm, federated learning (FL) involves training deep neural network (DNN) models at the network edge while protecting the privacy of the edge clients. To train a large-scale DNN model, batch…

Machine Learning · Computer Science 2023-11-10 Yanmeng Wang , Qingjiang Shi , Tsung-Hui Chang

Optimizing deep neural networks (DNNs) often suffers from the ill-conditioned problem. We observe that the scaling-based weight space symmetry property in rectified nonlinear network will cause this negative effect. Therefore, we propose to…

Machine Learning · Computer Science 2017-10-09 Lei Huang , Xianglong Liu , Bo Lang , Bo Li

Deep learning has made significant advancements in supervised learning. However, models trained in this setting often face challenges due to domain shift between training and test sets, resulting in a significant drop in performance during…

Computer Vision and Pattern Recognition · Computer Science 2024-02-08 Lei Qi , Hongpeng Yang , Yinghuan Shi , Xin Geng

Batch normalization (BN) is a ubiquitous operation in deep neural networks, primarily used to improve stability and regularization during training. BN centers and scales feature maps using sample means and variances, which are naturally…

Machine Learning · Statistics 2026-02-04 Sofia Ivolgina , P. Thomas Fletcher , Baba C. Vemuri

The performance of DNNs trained on clean images has been shown to decrease when the test images have common corruptions. In this work, we interpret corruption robustness as a domain shift and propose to rectify batch normalization (BN)…

Computer Vision and Pattern Recognition · Computer Science 2021-01-29 Philipp Benz , Chaoning Zhang , Adil Karjauv , In So Kweon

Batch Normalization (BN) is capable of accelerating the training of deep models by centering and scaling activations within mini-batches. In this work, we propose Decorrelated Batch Normalization (DBN), which not just centers and scales…

Computer Vision and Pattern Recognition · Computer Science 2018-04-24 Lei Huang , Dawei Yang , Bo Lang , Jia Deng

Batch Normalization (BatchNorm) is commonly used in Convolutional Neural Networks (CNNs) to improve training speed and stability. However, there is still limited consensus on why this technique is effective. This paper uses concepts from…

Neural and Evolutionary Computing · Computer Science 2021-06-02 Elaina Chai , Mert Pilanci , Boris Murmann

Batch normalization (BatchNorm) is a popular layer normalization technique used when training deep neural networks. It has been shown to enhance the training speed and accuracy of deep learning models. However, the mechanics by which…

Machine Learning · Computer Science 2025-02-14 Hermanus L. Potgieter , Coenraad Mouton , Marelie H. Davel

In the past few years, graph neural networks (GNNs) have become the de facto model of choice for graph classification. While, from the theoretical viewpoint, most GNNs can operate on graphs of any size, it is empirically observed that their…

Machine Learning · Computer Science 2022-10-21 Davide Buffelli , Pietro Liò , Fabio Vandin

We show that training a deep network using batch normalization is equivalent to approximate inference in Bayesian models. We further demonstrate that this finding allows us to make meaningful estimates of the model uncertainty using…

Machine Learning · Statistics 2018-07-17 Mattias Teye , Hossein Azizpour , Kevin Smith

A well-known issue of Batch Normalization is its significantly reduced effectiveness in the case of small mini-batch sizes. When a mini-batch contains few examples, the statistics upon which the normalization is defined cannot be reliably…

Machine Learning · Computer Science 2021-03-26 Zhuliang Yao , Yue Cao , Shuxin Zheng , Gao Huang , Stephen Lin

In this work, we describe a new approach that uses deep neural networks (DNN) to obtain regularization parameters for solving inverse problems. We consider a supervised learning approach, where a network is trained to approximate the…

Numerical Analysis · Mathematics 2021-04-15 Babak Maboudi Afkham , Julianne Chung , Matthias Chung