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A critically important, ubiquitous, and yet poorly understood ingredient in modern deep networks (DNs) is batch normalization (BN), which centers and normalizes the feature maps. To date, only limited progress has been made understanding…

Machine Learning · Computer Science 2022-09-30 Randall Balestriero , Richard G. Baraniuk

Normalization layers are crucial for deep learning, but their Euclidean formulations are inadequate for data on manifolds. On the other hand, many Riemannian manifolds in machine learning admit gyro-structures, enabling principled…

Machine Learning · Computer Science 2025-09-22 Ziheng Chen , Xiao-Jun Wu , Bernhard Schölkopf , Nicu Sebe

Batch-normalization (BN) layers are thought to be an integrally important layer type in today's state-of-the-art deep convolutional neural networks for computer vision tasks such as classification and detection. However, BN layers introduce…

Machine Learning · Computer Science 2019-07-23 Mark D. McDonnell , Hesham Mostafa , Runchun Wang , Andre van Schaik

Inspired by BatchNorm, there has been an explosion of normalization layers in deep learning. Recent works have identified a multitude of beneficial properties in BatchNorm to explain its success. However, given the pursuit of alternative…

Machine Learning · Computer Science 2021-10-27 Ekdeep Singh Lubana , Robert P. Dick , Hidenori Tanaka

Generalization is essential for deep learning. In contrast to previous works claiming that Deep Neural Networks (DNNs) have an implicit regularization implemented by the stochastic gradient descent, we demonstrate explicitly Bayesian…

Machine Learning · Computer Science 2019-10-23 Xinjie Lan , Kenneth E. Barner

Normalization techniques have only recently begun to be exploited in supervised learning tasks. Batch normalization exploits mini-batch statistics to normalize the activations. This was shown to speed up training and result in better…

Machine Learning · Computer Science 2017-03-08 Mengye Ren , Renjie Liao , Raquel Urtasun , Fabian H. Sinz , Richard S. Zemel

Modern deep learning architecture utilize batch normalization (BN) to stabilize training and improve accuracy. It has been shown that the BN layers alone are surprisingly expressive. In the context of robustness against adversarial…

Machine Learning · Computer Science 2022-04-27 Nils Philipp Walter , David Stutz , Bernt Schiele

Binary Neural Networks (BNNs) are difficult to train, and suffer from drop of accuracy. It appears in practice that BNNs fail to train in the absence of Batch Normalization (BatchNorm) layer. We find the main role of BatchNorm is to avoid…

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

Batch Normalization (BN) has been proven to be quite effective at accelerating and improving the training of deep neural networks (DNNs). However, BN brings additional computation, consumes more memory and generally slows down the training…

Machine Learning · Computer Science 2019-05-23 Shuang Wu , Guoqi Li , Lei Deng , Liu Liu , Yuan Xie , Luping Shi

Batch normalization (BN) is a ubiquitous technique for training deep neural networks that accelerates their convergence to reach higher accuracy. However, we demonstrate that BN comes with a fundamental drawback: it incentivizes the model…

Machine Learning · Computer Science 2022-07-05 Saeid Asgari Taghanaki , Ali Gholami , Fereshte Khani , Kristy Choi , Linh Tran , Ran Zhang , Aliasghar Khani

Domain generalization aims at training machine learning models to perform robustly across different and unseen domains. Several recent methods use multiple datasets to train models to extract domain-invariant features, hoping to generalize…

Machine Learning · Computer Science 2021-05-19 Mattia Segu , Alessio Tonioni , Federico Tombari

Utilizing recently introduced concepts from statistics and quantitative risk management, we present a general variant of Batch Normalization (BN) that offers accelerated convergence of Neural Network training compared to conventional BN. In…

Machine Learning · Computer Science 2018-12-11 Xiaoyong Yuan , Zheng Feng , Matthew Norton , Xiaolin Li

Batch Normalization (BN) is widely used in {centralized} deep learning to improve convergence and generalization. However, in {federated} learning (FL) with decentralized data, prior work has observed that training with BN could hinder…

Machine Learning · Computer Science 2024-04-01 Jike Zhong , Hong-You Chen , Wei-Lun Chao

Domain generalization in image classification is a crucial challenge, with models often failing to generalize well across unseen datasets. We address this issue by introducing a neuro-inspired Neural Response Normalization (NeuRN) layer…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Hamd Jalil , Ahmed Qazi , Asim Iqbal

Batch Normalization (BN) is an important preprocessing step to many deep learning applications. Since it is a data-dependent process, for some homogeneous datasets it is a redundant or even a performance-degrading process. In this paper, we…

Machine Learning · Computer Science 2022-12-01 Wael Alsobhi , Tarik Alafif , Alaa Abdel-Hakim , Weiwei Zong

Batch Normalization (BN) has become a cornerstone of deep learning across diverse architectures, appearing to help optimization as well as generalization. While the idea makes intuitive sense, theoretical analysis of its effectiveness has…

Machine Learning · Computer Science 2018-12-11 Sanjeev Arora , Zhiyuan Li , Kaifeng Lyu

Batch Normalization (BN) is essential to effectively train state-of-the-art deep Convolutional Neural Networks (CNN). It normalizes inputs to the layers during training using the statistics of each mini-batch. In this work, we study BN from…

Machine Learning · Computer Science 2018-11-16 Mahdi M. Kalayeh , Mubarak Shah

In this work we investigate the reasons why Batch Normalization (BN) improves the generalization performance of deep networks. We argue that one major reason, distinguishing it from data-independent normalization methods, is randomness of…

Machine Learning · Computer Science 2018-11-05 Alexander Shekhovtsov , Boris Flach

Regularization is a set of techniques that are used to improve the generalization ability of deep neural networks. In this paper, we introduce spectral batch normalization (SBN), a novel effective method to improve generalization by…

Computer Vision and Pattern Recognition · Computer Science 2023-06-30 Rinor Cakaj , Jens Mehnert , Bin Yang

Binarized neural networks, or BNNs, show great promise in edge-side applications with resource limited hardware, but raise the concerns of reduced accuracy. Motivated by the complex neural networks, in this paper we introduce complex…

Neural and Evolutionary Computing · Computer Science 2021-04-21 Yanfei Li , Tong Geng , Ang Li , Huimin Yu