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We develop a mean field theory for batch normalization in fully-connected feedforward neural networks. In so doing, we provide a precise characterization of signal propagation and gradient backpropagation in wide batch-normalized networks…

Neural and Evolutionary Computing · Computer Science 2019-03-07 Greg Yang , Jeffrey Pennington , Vinay Rao , Jascha Sohl-Dickstein , Samuel S. Schoenholz

Deep learning models face persistent challenges in training, particularly due to internal covariate shift and label shift. While single-mode normalization methods like Batch Normalization partially address these issues, they are constrained…

Machine Learning · Computer Science 2024-10-31 Bilal Faye , Hanane Azzag , Mustapha Lebbah , Djamel Bouchaffra

Batch normalization (BN) is central to modern deep networks, but its effect on the realized function during training remains less understood than its optimization benefits. We study training-time BN in continuous piecewise-affine (CPA)…

Machine Learning · Computer Science 2026-05-13 Xuan Qi , Yi Wei , Fanqi Yu , Furao Shen , Vittorio Murino , Cigdem Beyan

Attention Branch Networks (ABNs) have been shown to simultaneously provide visual explanation and improve the performance of deep convolutional neural networks (CNNs). In this work, we introduce Multi-Scale Attention Branch Networks…

Computer Vision and Pattern Recognition · Computer Science 2023-06-28 Ankit Gupta , Ida-Maria Sintorn

Batch Normalization (BatchNorm) is an extremely useful component of modern neural network architectures, enabling optimization using higher learning rates and achieving faster convergence. In this paper, we use mean-field theory to…

Machine Learning · Computer Science 2019-03-08 Mingwei Wei , James Stokes , David J Schwab

Intriguing empirical evidence exists that deep learning can work well with exoticschedules for varying the learning rate. This paper suggests that the phenomenon may be due to Batch Normalization or BN, which is ubiquitous and provides…

Machine Learning · Computer Science 2019-11-22 Zhiyuan Li , Sanjeev Arora

Machine learning models, including state-of-the-art deep neural networks, are vulnerable to small perturbations that cause unexpected classification errors. This unexpected lack of robustness raises fundamental questions about their…

Computer Vision and Pattern Recognition · Computer Science 2018-02-01 Andras Rozsa , Manuel Gunther , Terrance E. Boult

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

Batch Normalization is quite effective at accelerating and improving the training of deep models. However, its effectiveness diminishes when the training minibatches are small, or do not consist of independent samples. We hypothesize that…

Machine Learning · Computer Science 2017-03-31 Sergey Ioffe

Batch normalization (BatchNorm) is an effective yet poorly understood technique for neural network optimization. It is often assumed that the degradation in BatchNorm performance to smaller batch sizes stems from it having to estimate layer…

Computer Vision and Pattern Recognition · Computer Science 2020-07-20 Neofytos Dimitriou , Ognjen Arandjelovic

This paper underlines a subtle property of batch-normalization (BN): Successive batch normalizations with random linear transformations make hidden representations increasingly orthogonal across layers of a deep neural network. We establish…

Machine Learning · Statistics 2021-06-09 Hadi Daneshmand , Amir Joudaki , Francis Bach

Batch Normalization (BatchNorm) is effective for improving the performance and accelerating the training of deep neural networks. However, it has also shown to be a cause of adversarial vulnerability, i.e., networks without it are more…

Machine Learning · Computer Science 2020-06-22 Muhammad Awais , Fahad Shamshad , Sung-Ho Bae

Batch normalization (BN) is widely used in modern deep neural networks, which has been shown to represent the domain-related knowledge, and thus is ineffective for cross-domain tasks like unsupervised domain adaptation (UDA). Existing BN…

Computer Vision and Pattern Recognition · Computer Science 2021-12-21 Zhiyong Huang , Kekai Sheng , Ke Li , Jian Liang , Taiping Yao , Weiming Dong , Dengwen Zhou , Xing Sun

A big, diverse and balanced training data is the key to the success of deep neural network training. However, existing publicly available datasets used in facial landmark localization are usually much smaller than those for other computer…

Computer Vision and Pattern Recognition · Computer Science 2021-01-19 Shuangping Jin , Zhenhua Feng , Wankou Yang , Josef Kittler

Despite its empirical success and recent theoretical progress, there generally lacks a quantitative analysis of the effect of batch normalization (BN) on the convergence and stability of gradient descent. In this paper, we provide such an…

Machine Learning · Computer Science 2019-05-10 Yongqiang Cai , Qianxiao Li , Zuowei Shen

There is a growing concern about applying batch normalization (BN) in adversarial training (AT), especially when the model is trained on both adversarial samples and clean samples (termed Hybrid-AT). With the assumption that adversarial and…

Machine Learning · Computer Science 2024-03-29 Chenshuang Zhang , Chaoning Zhang , Kang Zhang , Axi Niu , Junmo Kim , In So Kweon

Batch Normalization's (BN) unique property of depending on other samples in a batch is known to cause problems in several tasks, including sequence modeling. Yet, BN-related issues are hardly studied for long video understanding, despite…

Computer Vision and Pattern Recognition · Computer Science 2024-04-22 Dominik Rivoir , Isabel Funke , Stefanie Speidel

Bayesian Neural Networks (BNNs) are trained to optimize an entire distribution over their weights instead of a single set, having significant advantages in terms of, e.g., interpretability, multi-task learning, and calibration. Because of…

Machine Learning · Computer Science 2022-10-07 Jary Pomponi , Simone Scardapane , Aurelio Uncini

Generative Adversarial Networks (GANs) have been widely applied in different scenarios thanks to the development of deep neural networks. The original GAN was proposed based on the non-parametric assumption of the infinite capacity of…

Machine Learning · Computer Science 2022-11-04 Ziqiang Li , Muhammad Usman , Rentuo Tao , Pengfei Xia , Chaoyue Wang , Huanhuan Chen , Bin Li

Batch Normalization (BatchNorm) is a technique that improves the training of deep neural networks, especially Convolutional Neural Networks (CNN). It has been empirically demonstrated that BatchNorm increases performance, stability, and…

Machine Learning · Computer Science 2023-03-24 Yashna Peerthum , Mark Stamp