Normalization Techniques in Training DNNs: Methodology, Analysis and Application
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Abstract (arXiv)
Normalization techniques are essential for accelerating the training and improving the generalization of deep neural networks (DNNs), and have successfully been used in various applications. This paper reviews and comments on the past, present and future of normalization methods in the context of DNN training. We provide a unified picture of the main motivation behind different approaches from the perspective of optimization, and present a taxonomy for understanding the similarities and differences between them. Specifically, we decompose the pipeline of the most representative normalizing activation methods into three components: the normalization area partitioning, normalization operation and normalization representation recovery. In doing so, we provide insight for designing new normalization technique. Finally, we discuss the current progress in understanding normalization methods, and provide a comprehensive review of the applications of normalization for particular tasks, in which it can effectively solve the key issues.
Key facts. Cited by 90 papers in the map (data through 7 Oct 2026). First posted on arXiv 27 Sep 2020.
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Citing papers per year: 2021: 7; 2022: 15; 2023: 13; 2024: 21; 2025: 20; 2026: 14.
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- 2022Elucidating the Design Space of Diffusion-Based Generative Modelscited by 2,994
- 2021High-Performance Large-Scale Image Recognition Without Normalizationcited by 359
- 2022The Open Catalyst 2022 (OC22) Dataset and Challenges for Oxide Electrocatalystscited by 95
- 2021Characterizing signal propagation to close the performance gap in unnormalized ResNetscited by 87
- 2025Transformers without Normalizationcited by 69
- 2023Domain Generalization for Medical Image Analysis: A Reviewcited by 47
- 2022Continual Normalization: Rethinking Batch Normalization for Online Continual Learningcited by 40
- 2022Compute-Efficient Deep Learning: Algorithmic Trends and Opportunitiescited by 38
- 2023Shelving, Stacking, Hanging: Relational Pose Diffusion for Multi-modal Rearrangementcited by 29
- 2025Scaling Off-Policy Reinforcement Learning with Batch and Weight Normalizationcited by 19
- 2021Task-Specific Normalization for Continual Learning of Blind Image Quality Modelscited by 18
- 2024xLSTM-Mixer: Multivariate Time Series Forecasting by Mixing via Scalar Memoriescited by 18
38 more
- 2023New Insights for the Stability-Plasticity Dilemma in Online Continual Learningcited by 16
- 2021Convolutional Normalization: Improving Deep Convolutional Network Robustness and Trainingcited by 15
- 2024Self-Contrastive Forward-Forward Algorithmcited by 15
- 2024AdaFisher: Adaptive Second Order Optimization via Fisher Informationcited by 14
- 2024Deep learning for precipitation nowcasting: A survey from the perspective of time series forecastingcited by 14
- 2022Deep transfer learning for image classification: a surveycited by 13
- 2023Normalization Enhances Generalization in Visual Reinforcement Learningcited by 13
- 2025Effective Cloud Removal for Remote Sensing Images by an Improved Mean-Reverting Denoising Model with Elucidated Design Spacecited by 12
- 2024Breaking Modality Gap in RGBT Tracking: Coupled Knowledge Distillationcited by 11
- 2023Diffusion-based generation of Histopathological Whole Slide Images at a Gigapixel scalecited by 9
- 2024On the Nonlinearity of Layer Normalizationcited by 9
- 2024From Spikes to Heavy Tails: Unveiling the Spectral Evolution of Neural Networkscited by 9
- 2024Weight Conditioning for Smooth Optimization of Neural Networkscited by 9
- 2022Delving into the Estimation Shift of Batch Normalization in a Networkcited by 7
- 2024Federated Unsupervised Domain Generalization using Global and Local Alignment of Gradientscited by 7
- 2022Weight Expansion: A New Perspective on Dropout and Generalizationcited by 6
- 2022Unified Normalization for Accelerating and Stabilizing Transformerscited by 6
- 2023Improving Normalization with the James-Stein Estimatorcited by 6
- 2024Swin3D++: Effective Multi-Source Pretraining for 3D Indoor Scene Understandingcited by 6
- 2023Function-Space Optimality of Neural Architectures with Multivariate Nonlinearitiescited by 5
- 2024Sign Gradient Descent-based Neuronal Dynamics: ANN-to-SNN Conversion Beyond ReLU Networkcited by 5
- 2022Optimal Activation Functions for the Random Features Regression Modelcited by 4
- 2024Unconditional stability of a recurrent neural circuit implementing divisive normalizationcited by 4
- 2024Deep Learning for Spatio-Temporal Fusion in Land Surface Temperature Estimation: A Comprehensive Survey, Experimental Analysis, and Future Trendscited by 4
- 2025Tiling artifacts and trade-offs of feature normalization in the segmentation of large biological imagescited by 4
- 2025AIS-LLM: A Unified Framework for Maritime Trajectory Prediction, Anomaly Detection, and Collision Risk Assessment with Explainable Forecastingcited by 4
- 2022Deep learning fluid flow reconstruction around arbitrary two-dimensional objects from sparse sensors using conformal mappingscited by 3
- 2025Robo-SGG: Exploiting Layout-Oriented Normalization and Restitution Can Improve Robust Scene Graph Generationcited by 3
- 2025PGT-I: Scaling Spatiotemporal GNNs with Memory-Efficient Distributed Trainingcited by 3
- 2026UBiGTLoc: A Unified BiLSTM-Graph Transformer Localization Framework for IoT Sensor Networkscited by 3
- 2021Exploiting Invariance in Training Deep Neural Networkscited by 2
- 2023Efficient ConvBN Blocks for Transfer Learning and Beyondcited by 2
- 2023Convex Geometry of ReLU-layers, Injectivity on the Ball and Local Reconstructioncited by 2
- 2023Extended Deep Adaptive Input Normalization for Preprocessing Time Series Data for Neural Networkscited by 2
- 2024TSNet:A Two-stage Network for Image Dehazing with Multi-scale Fusion and Adaptive Learningcited by 2
- 2024TikGuard: A Deep Learning Transformer-Based Solution for Detecting Unsuitable TikTok Content for Kidscited by 2
- 2024Graph Neural Networks Need Cluster-Normalize-Activate Modulescited by 2
- 2025WeedVision: Multi-Stage Growth and Classification of Weeds using DETR and RetinaNet for Precision Agriculturecited by 2
50 most cited of 90 All 90 (JSON)
- 2026AutoHGNN: Robust and Efficient Neural Architecture Search for Hypergraph Neural Networks27 Sep 2026
- 2026Benchmarking Optimizers to Solve Inverse Problems with Differentiable Physics Simulators12 Sep 2026
- 2026A Novel Fourier Feature Network for Solving Partial Differential Equations13 Aug 2026
- 2026Momba: Network Modernization Improves Multi-Objective Reinforcement Learning7 Aug 2026
- 2026Adaptive Interpolatory Curve Subdivision with Learned Local Angles25 Jul 2026
- 2026CANN-EUCLID: unsupervised constitutive artificial neural network model discovery from full-field data12 Jun 2026
- 2026IstGPT: LLM-based Anomaly Detection for Spatial-Temporal Graph in Industrial Systems1 Jun 2026
- 2026Disentangling Generation and Regression in Stochastic Interpolants for Controllable Image Restoration20 May 2026
- 2026Enjoy Your Layer Normalization with the Computational Efficiency of RMSNorm14 May 2026
- 2026The Error of Deep Operator Networks Is the Sum of Its Parts: Branch-Trunk and Mode Error Decompositions25 Feb 2026
- 2026LATMiX: Learnable Affine Transformations for Microscaling Quantization of LLMs4 Feb 2026
- 2026Regularisation in neural networks: a survey and empirical analysis of approaches30 Jan 2026
38 more
- 2026A Survey on Semantic Communication for Vision: Categories, Frameworks, Enabling Techniques, and Applications29 Jan 2026
- 2026UBiGTLoc: A Unified BiLSTM-Graph Transformer Localization Framework for IoT Sensor Networks11 Jan 2026
- 2025Simplifying Multi-Task Architectures Through Task-Specific Normalization23 Dec 2025
- 2025A Roadmap for Applying Graph Neural Networks to Numerical Data: Insights from Cementitious Materials16 Dec 2025
- 2025Adaptive Dataset Quantization: A New Direction for Dataset Pruning28 Nov 2025
- 2025IBNorm: Information-Bottleneck Inspired Normalization for Representation Learning29 Oct 2025
- 2025AIS-LLM: A Unified Framework for Maritime Trajectory Prediction, Anomaly Detection, and Collision Risk Assessment with Explainable Forecasting11 Aug 2025
- 2025PGT-I: Scaling Spatiotemporal GNNs with Memory-Efficient Distributed Training15 Jul 2025
- 2025GNN-CNN: An Efficient Hybrid Model of Convolutional and Graph Neural Networks for Text Representation10 Jul 2025
- 2025Dynamic Temporal Positional Encodings for Early Intrusion Detection in IoT22 Jun 2025
- 2025Scaling CrossQ with Weight Normalization4 Jun 2025
- 2025Parallel Layer Normalization for Universal Approximation19 May 2025
- 2025Robo-SGG: Exploiting Layout-Oriented Normalization and Restitution Can Improve Robust Scene Graph Generation17 Apr 2025
- 2025Effective Cloud Removal for Remote Sensing Images by an Improved Mean-Reverting Denoising Model with Elucidated Design Space31 Mar 2025
- 2025Tiling artifacts and trade-offs of feature normalization in the segmentation of large biological images25 Mar 2025
- 2025Anomaly Detection Using Computer Vision: A Comparative Analysis of Class Distinction and Performance Metrics24 Mar 2025
- 2025Transformers without Normalization13 Mar 2025
- 2025WeedVision: Multi-Stage Growth and Classification of Weeds using DETR and RetinaNet for Precision Agriculture16 Feb 2025
- 2025Scaling Off-Policy Reinforcement Learning with Batch and Weight Normalization11 Feb 2025
- 2025Large-Scale Riemannian Meta-Optimization via Subspace Adaptation25 Jan 2025
- 2025Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds20 Jan 2025
- 2025On the challenges of detecting MCI using EEG in the wild15 Jan 2025
- 2024Deep Learning for Spatio-Temporal Fusion in Land Surface Temperature Estimation: A Comprehensive Survey, Experimental Analysis, and Future Trends21 Dec 2024
- 2024Graph Neural Networks Need Cluster-Normalize-Activate Modules5 Dec 2024
- 2024xLSTM-Mixer: Multivariate Time Series Forecasting by Mixing via Scalar Memories22 Oct 2024
- 2024Breaking Modality Gap in RGBT Tracking: Coupled Knowledge Distillation15 Oct 2024
- 2024Mero Nagarikta: Advanced Nepali Citizenship Data Extractor with Deep Learning-Powered Text Detection and OCR8 Oct 2024
- 2024TikGuard: A Deep Learning Transformer-Based Solution for Detecting Unsuitable TikTok Content for Kids1 Oct 2024
- 2024Unconditional stability of a recurrent neural circuit implementing divisive normalization27 Sep 2024
- 2024Self-Contrastive Forward-Forward Algorithm17 Sep 2024
- 2024Adaptative Context Normalization: A Boost for Deep Learning in Image Processing7 Sep 2024
- 2024Weight Conditioning for Smooth Optimization of Neural Networks5 Sep 2024
- 2024Sign Gradient Descent-based Neuronal Dynamics: ANN-to-SNN Conversion Beyond ReLU Network1 Jul 2024
- 2024Injectivity of ReLU-layers: Tools from Frame Theory22 Jun 2024
- 2024Diffusion Generative Modelling for Divide-and-Conquer MCMC17 Jun 2024
- 2024Deep learning for precipitation nowcasting: A survey from the perspective of time series forecasting7 Jun 2024
- 2024From Spikes to Heavy Tails: Unveiling the Spectral Evolution of Neural Networks7 Jun 2024
- 2024On the Nonlinearity of Layer Normalization3 Jun 2024
50 newest of 90 All 90 (JSON)
- 2022Elucidating the Design Space of Diffusion-Based Generative Modelscited by 2,994
- 2025Effective Cloud Removal for Remote Sensing Images by an Improved Mean-Reverting Denoising Model with Elucidated Design Spacecited by 12
- 2023Diffusion-based generation of Histopathological Whole Slide Images at a Gigapixel scalecited by 9
- 2024Diffusion Generative Modelling for Divide-and-Conquer MCMCcited by 0
- 2026Disentangling Generation and Regression in Stochastic Interpolants for Controllable Image Restorationcited by 0
- 2026Disentangling Generation and Regression in Stochastic Interpolants for Controllable Image Restoration20 May 2026
- 2025Effective Cloud Removal for Remote Sensing Images by an Improved Mean-Reverting Denoising Model with Elucidated Design Space31 Mar 2025
- 2024Diffusion Generative Modelling for Divide-and-Conquer MCMC17 Jun 2024
- 2023Diffusion-based generation of Histopathological Whole Slide Images at a Gigapixel scale14 Nov 2023
- 2022Elucidating the Design Space of Diffusion-Based Generative Models1 Jun 2022
- 2021High-Performance Large-Scale Image Recognition Without Normalizationcited by 359
- 2022The Open Catalyst 2022 (OC22) Dataset and Challenges for Oxide Electrocatalystscited by 95
- 2021Characterizing signal propagation to close the performance gap in unnormalized ResNetscited by 87
- 2025Transformers without Normalizationcited by 69
- 2023Domain Generalization for Medical Image Analysis: A Reviewcited by 47
- 2022Continual Normalization: Rethinking Batch Normalization for Online Continual Learningcited by 40
- 2022Compute-Efficient Deep Learning: Algorithmic Trends and Opportunitiescited by 38
- 2023Shelving, Stacking, Hanging: Relational Pose Diffusion for Multi-modal Rearrangementcited by 29
- 2025Scaling Off-Policy Reinforcement Learning with Batch and Weight Normalizationcited by 19
- 2021Task-Specific Normalization for Continual Learning of Blind Image Quality Modelscited by 18
- 2024xLSTM-Mixer: Multivariate Time Series Forecasting by Mixing via Scalar Memoriescited by 18
- 2023New Insights for the Stability-Plasticity Dilemma in Online Continual Learningcited by 16
12 most cited of 85 All 85 (JSON)
- 2026AutoHGNN: Robust and Efficient Neural Architecture Search for Hypergraph Neural Networks27 Sep 2026
- 2026Benchmarking Optimizers to Solve Inverse Problems with Differentiable Physics Simulators12 Sep 2026
- 2026A Novel Fourier Feature Network for Solving Partial Differential Equations13 Aug 2026
- 2026Momba: Network Modernization Improves Multi-Objective Reinforcement Learning7 Aug 2026
- 2026Adaptive Interpolatory Curve Subdivision with Learned Local Angles25 Jul 2026
- 2026CANN-EUCLID: unsupervised constitutive artificial neural network model discovery from full-field data12 Jun 2026
- 2026IstGPT: LLM-based Anomaly Detection for Spatial-Temporal Graph in Industrial Systems1 Jun 2026
- 2026Enjoy Your Layer Normalization with the Computational Efficiency of RMSNorm14 May 2026
- 2026The Error of Deep Operator Networks Is the Sum of Its Parts: Branch-Trunk and Mode Error Decompositions25 Feb 2026
- 2026LATMiX: Learnable Affine Transformations for Microscaling Quantization of LLMs4 Feb 2026
- 2026Regularisation in neural networks: a survey and empirical analysis of approaches30 Jan 2026
- 2026A Survey on Semantic Communication for Vision: Categories, Frameworks, Enabling Techniques, and Applications29 Jan 2026
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