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\emph{Batch normalization} is a successful building block of neural network architectures. Yet, it is not well understood. A neural network layer with batch normalization comprises three components that affect the representation induced by…

Machine Learning · Computer Science 2024-12-05 Ido Nachum , Marco Bondaschi , Michael Gastpar , Anatoly Khina

Batch normalization (BN) is a milestone technique in deep learning. It normalizes the activation using mini-batch statistics during training but the estimated population statistics during inference. This paper focuses on investigating the…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Lei Huang , Yi Zhou , Tian Wang , Jie Luo , Xianglong Liu

Inspired by the adaptation phenomenon of neuronal firing, we propose the regularity normalization (RN) as an unsupervised attention mechanism (UAM) which computes the statistical regularity in the implicit space of neural networks under the…

Machine Learning · Computer Science 2021-12-30 Baihan Lin

We study the implicit bias of batch normalization trained by gradient descent. We show that when learning a linear model with batch normalization for binary classification, gradient descent converges to a uniform margin classifier on the…

Machine Learning · Computer Science 2023-07-12 Yuan Cao , Difan Zou , Yuanzhi Li , Quanquan Gu

Convolutional neural networks require significant memory bandwidth and storage for intermediate computations, apart from substantial computing resources. Neural network quantization has significant benefits in reducing the amount of…

Computer Vision and Pattern Recognition · Computer Science 2019-05-30 Ron Banner , Yury Nahshan , Elad Hoffer , Daniel Soudry

Normalization layers are one of the key building blocks for deep neural networks. Several theoretical studies have shown that batch normalization improves the signal propagation, by avoiding the representations from becoming collinear…

Machine Learning · Computer Science 2023-10-04 Alexandru Meterez , Amir Joudaki , Francesco Orabona , Alexander Immer , Gunnar Rätsch , Hadi Daneshmand

Batch Normalization (BN) is one of the most widely used techniques in Deep Learning field. But its performance can awfully degrade with insufficient batch size. This weakness limits the usage of BN on many computer vision tasks like…

Computer Vision and Pattern Recognition · Computer Science 2020-06-17 Junjie Yan , Ruosi Wan , Xiangyu Zhang , Wei Zhang , Yichen Wei , Jian Sun

Image normalization, the correction for intra-volume inhomogeneities in magnetic resonance imaging (MRI) data has little significance for visual diagnosis, but is a crucial step before automated radiotherapy solutions. There are several…

Image and Video Processing · Electrical Eng. & Systems 2019-09-13 A. Simkó , T. Löfstedt , A. Garpebring , T. Nyholm , J. Jonsson

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

We propose a simple but effective multi-source domain generalization technique based on deep neural networks by incorporating optimized normalization layers that are specific to individual domains. Our approach employs multiple…

Machine Learning · Computer Science 2020-07-22 Seonguk Seo , Yumin Suh , Dongwan Kim , Geeho Kim , Jongwoo Han , Bohyung Han

Existing convolutional neural network architectures frequently rely upon batch normalization (BatchNorm) to effectively train the model. BatchNorm, however, performs poorly with small batch sizes, and is inapplicable to differential…

Machine Learning · Computer Science 2024-03-06 Reza Nasirigerdeh , Reihaneh Torkzadehmahani , Daniel Rueckert , Georgios Kaissis

Normalization methods play an important role in enhancing the performance of deep learning while their theoretical understandings have been limited. To theoretically elucidate the effectiveness of normalization, we quantify the geometry of…

Machine Learning · Statistics 2019-10-29 Ryo Karakida , Shotaro Akaho , Shun-ichi Amari

Batch Normalization (BN) has become an out-of-box technique to improve deep network training. However, its effectiveness is limited for micro-batch training, i.e., each GPU typically has only 1-2 images for training, which is inevitable for…

Computer Vision and Pattern Recognition · Computer Science 2020-08-11 Siyuan Qiao , Huiyu Wang , Chenxi Liu , Wei Shen , Alan Yuille

Normalization is known to help the optimization of deep neural networks. Curiously, different architectures require specialized normalization methods. In this paper, we study what normalization is effective for Graph Neural Networks (GNNs).…

Machine Learning · Computer Science 2021-06-14 Tianle Cai , Shengjie Luo , Keyulu Xu , Di He , Tie-Yan Liu , Liwei Wang

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

Existing techniques to solve exemplar-based image-to-image translation within deep convolutional neural networks (CNNs) generally require a training phase to optimize the network parameters on domain-specific and task-specific benchmarks,…

Computer Vision and Pattern Recognition · Computer Science 2020-11-19 Taewon Kang , Soohyun Kim , Sunwoo Kim , Seungryong Kim

Binarization of neural network models is considered as one of the promising methods to deploy deep neural network models on resource-constrained environments such as mobile devices. However, Binary Neural Networks (BNNs) tend to suffer from…

Machine Learning · Computer Science 2021-03-31 Hyungjun Kim , Jihoon Park , Changhun Lee , Jae-Joon Kim

In this article, we introduce a novel normalization technique for neural network weight matrices, which we term weight conditioning. This approach aims to narrow the gap between the smallest and largest singular values of the weight…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Hemanth Saratchandran , Thomas X. Wang , Simon Lucey

Deep convolutional networks often append additive constant ("bias") terms to their convolution operations, enabling a richer repertoire of functional mappings. Biases are also used to facilitate training, by subtracting mean response over…

Image and Video Processing · Electrical Eng. & Systems 2020-02-11 Sreyas Mohan , Zahra Kadkhodaie , Eero P. Simoncelli , Carlos Fernandez-Granda

Deep learning regularization techniques, such as dropout, layer normalization, or weight decay, are widely adopted in the construction of modern artificial neural networks, often resulting in more robust training processes and improved…

Machine Learning · Computer Science 2024-11-22 Denis Tarasov , Anja Surina , Caglar Gulcehre