Decorrelated Batch Normalization
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Abstract (arXiv)
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 activations but whitens them. We explore multiple whitening techniques, and find that PCA whitening causes a problem we call stochastic axis swapping, which is detrimental to learning. We show that ZCA whitening does not suffer from this problem, permitting successful learning. DBN retains the desirable qualities of BN and further improves BN's optimization efficiency and generalization ability. We design comprehensive experiments to show that DBN can improve the performance of BN on multilayer perceptrons and convolutional neural networks. Furthermore, we consistently improve the accuracy of residual networks on CIFAR-10, CIFAR-100, and ImageNet.
Key facts. Cited by 83 papers in the map (data through 7 Oct 2026). First posted on arXiv 23 Apr 2018.
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Citing papers per year: 2021: 19; 2022: 22; 2023: 16; 2024: 10; 2025: 10; 2026: 6.
83 papers.
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- 2021RobustNet: Improving Domain Generalization in Urban-Scene Segmentation via Instance Selective Whiteningcited by 213
- 2021On Feature Decorrelation in Self-Supervised Learningcited by 160
- 2022WildNet: Learning Domain Generalized Semantic Segmentation from the Wildcited by 75
- 2021Global and Local Texture Randomization for Synthetic-to-Real Semantic Segmentationcited by 56
- 2021Mimicking the Oracle: An Initial Phase Decorrelation Approach for Class Incremental Learningcited by 49
- 2022Towards Understanding and Mitigating Dimensional Collapse in Heterogeneous Federated Learningcited by 45
- 2023In Search of Lost Online Test-time Adaptation: A Surveycited by 43
- 2023ContraNorm: A Contrastive Learning Perspective on Oversmoothing and Beyondcited by 39
- 2022Self-Supervised Learning with an Information Maximization Criterioncited by 38
- 2023Why Batch Normalization Damage Federated Learning on Non-IID Data?cited by 29
- 2021A Cluster-based Approach for Improving Isotropy in Contextual Embedding Spacecited by 27
- 2021An Isotropy Analysis in the Multilingual BERT Embedding Spacecited by 25
38 more
- 2021Why Approximate Matrix Square Root Outperforms Accurate SVD in Global Covariance Pooling?cited by 24
- 2021Augmenting Deep Classifiers with Polynomial Neural Networkscited by 21
- 2022An Investigation into Whitening Loss for Self-supervised Learningcited by 21
- 2023Whitening-based Contrastive Learning of Sentence Embeddingscited by 21
- 2024SWAN: SGD with Normalization and Whitening Enables Stateless LLM Trainingcited by 20
- 2021Robust Differentiable SVDcited by 19
- 2023VNE: An Effective Method for Improving Deep Representation by Manipulating Eigenvalue Distributioncited by 17
- 2022Fast Differentiable Matrix Square Root and Inverse Square Rootcited by 16
- 2022Fast Differentiable Matrix Square Rootcited by 14
- 2023Stable Anisotropic Regularizationcited by 12
- 2022Domain Generalization with Correlated Style Uncertaintycited by 10
- 2021Stochastic Whitening Batch Normalizationcited by 9
- 2022Constrained Parameter Inference as a Principle for Learningcited by 9
- 2022Variance Covariance Regularization Enforces Pairwise Independence in Self-Supervised Representationscited by 9
- 2023Real-time Controllable Denoising for Image and Videocited by 9
- 2023Modulate Your Spectrum in Self-Supervised Learningcited by 9
- 2023On the Importance of Feature Decorrelation for Unsupervised Representation Learning in Reinforcement Learningcited by 8
- 2022Delving into the Estimation Shift of Batch Normalization in a Networkcited by 7
- 2024Overcoming Dimensional Collapse in Self-supervised Contrastive Learning for Medical Image Segmentationcited by 7
- 2024Efficient Deep Learning with Decorrelated Backpropagationcited by 7
- 2024Correlations Are Ruining Your Gradient Descentcited by 7
- 2024Gradient-Free Training of Recurrent Neural Networks using Random Perturbationscited by 6
- 2025On the Importance of Gaussianizing Representationscited by 6
- 2022Robustness to corruption in pre-trained Bayesian neural networkscited by 5
- 2022Orthogonal SVD Covariance Conditioning and Latent Disentanglementcited by 5
- 2023Hierarchical Semantic Tree Concept Whitening for Interpretable Image Classificationcited by 5
- 2023Revisiting LARS for Large Batch Training Generalization of Neural Networkscited by 5
- 2022Improving Covariance Conditioning of the SVD Meta-layer by Orthogonalitycited by 4
- 2022Interneurons accelerate learning dynamics in recurrent neural networks for statistical adaptationcited by 4
- 2026PRISM: Distribution-free Adaptive Computation of Matrix Functions for Accelerating Neural Network Trainingcited by 4
- 2021Improving Generalization of Batch Whitening by Convolutional Unit Optimizationcited by 3
- 2021Computer Vision Self-supervised Learning Methods on Time Seriescited by 3
- 2021Differentiable Gaussianization Layers for Inverse Problems Regularized by Deep Generative Modelscited by 3
- 2025Adapt in the Wild: Test-Time Entropy Minimization with Sharpness and Feature Regularizationcited by 3
- 2021Exploiting Invariance in Training Deep Neural Networkscited by 2
- 2021Learnable Adaptive Cosine Estimator (LACE) for Image Classificationcited by 2
- 2022Batch-efficient EigenDecomposition for Small and Medium Matricescited by 2
- 2023Self-Supervised Node Representation Learning via Node-to-Neighbourhood Alignmentcited by 2
50 most cited of 83 All 83 (JSON)
- 2026Whitening Improves Robustness to Spurious Correlations in Linear Probes30 Sep 2026
- 2026Conditioned Direct Feedback Alignment via Activity and Error Geometry20 Jul 2026
- 2026Continual Test-Time Adaptation in Computer Vision: Methods, Benchmarks, and Future Directions9 Jul 2026
- 2026SaliencyDecor: Enhancing Neural Network Interpretability through Feature Decorrelation28 Apr 2026
- 2026Learning to Discover Iterative Spectral Algorithms10 Feb 2026
- 2026PRISM: Distribution-free Adaptive Computation of Matrix Functions for Accelerating Neural Network Training29 Jan 2026
- 2025IBNorm: Information-Bottleneck Inspired Normalization for Representation Learning29 Oct 2025
- 2025An Investigation into the Performance of Non-Contrastive Self-Supervised Learning Methods for Network Intrusion Detection27 Sep 2025
- 2025White Aggregation and Restoration for Few-shot 3D Point Cloud Semantic Segmentation17 Sep 2025
- 2025Adapt in the Wild: Test-Time Entropy Minimization with Sharpness and Feature Regularization5 Sep 2025
- 2025Iterative Low-rank Network for Hyperspectral Image Denoising30 Aug 2025
- 2025ResNets Are Deeper Than You Think17 Jun 2025
38 more
- 2025Neural Multivariate Regression: Qualitative Insights from the Unconstrained Feature Model14 May 2025
- 2025On the Importance of Gaussianizing Representations1 May 2025
- 2025Generalization-aware Remote Sensing Change Detection via Domain-agnostic Learning1 Apr 2025
- 2025Adversarial Dependence Minimization5 Feb 2025
- 2024SWAN: SGD with Normalization and Whitening Enables Stateless LLM Training17 Dec 2024
- 2024Modeling Structured Data Learning with Restricted Boltzmann Machines in the Teacher-Student Setting21 Oct 2024
- 2024Principal Orthogonal Latent Components Analysis (POLCA Net)9 Oct 2024
- 2024Covariance-corrected Whitening Alleviates Network Degeneration on Imbalanced Classification30 Aug 2024
- 2024Towards the Spectral bias Alleviation by Normalizations in Coordinate Networks25 Jul 2024
- 2024Correlations Are Ruining Your Gradient Descent15 Jul 2024
- 2024Gradient-Free Training of Recurrent Neural Networks using Random Perturbations14 May 2024
- 2024Efficient Deep Learning with Decorrelated Backpropagation3 May 2024
- 2024Overcoming Dimensional Collapse in Self-supervised Contrastive Learning for Medical Image Segmentation22 Feb 2024
- 2024Scale Equalization for Multi-Level Feature Fusion2 Feb 2024
- 2023In Search of Lost Online Test-time Adaptation: A Survey31 Oct 2023
- 2023Gramian Attention Heads are Strong yet Efficient Vision Learners25 Oct 2023
- 2023Revisiting LARS for Large Batch Training Generalization of Neural Networks25 Sep 2023
- 2023Hierarchical Semantic Tree Concept Whitening for Interpretable Image Classification10 Jul 2023
- 2023On the Importance of Feature Decorrelation for Unsupervised Representation Learning in Reinforcement Learning9 Jun 2023
- 2023Stable Anisotropic Regularization30 May 2023
- 2023Whitening-based Contrastive Learning of Sentence Embeddings28 May 2023
- 2023Modulate Your Spectrum in Self-Supervised Learning26 May 2023
- 2023A Simplified Framework for Contrastive Learning for Node Representations1 May 2023
- 2023VNE: An Effective Method for Improving Deep Representation by Manipulating Eigenvalue Distribution4 Apr 2023
- 2023Real-time Controllable Denoising for Image and Video29 Mar 2023
- 2023An Empirical Analysis of the Shift and Scale Parameters in BatchNorm22 Mar 2023
- 2023ContraNorm: A Contrastive Learning Perspective on Oversmoothing and Beyond12 Mar 2023
- 2023Self-Supervised Node Representation Learning via Node-to-Neighbourhood Alignment9 Feb 2023
- 2023Local Feature Extraction from Salient Regions by Feature Map Transformation25 Jan 2023
- 2023Why Batch Normalization Damage Federated Learning on Non-IID Data?8 Jan 2023
- 2022Domain Generalization with Correlated Style Uncertainty20 Dec 2022
- 2022Orthogonal SVD Covariance Conditioning and Latent Disentanglement11 Dec 2022
- 2022Efficient Deep Reinforcement Learning with Predictive Processing Proximal Policy Optimization11 Nov 2022
- 2022Adaptive Batch Normalization for Training Data with Heterogeneous Features3 Nov 2022
- 2022An Investigation into Whitening Loss for Self-supervised Learning7 Oct 2022
- 2022Towards Understanding and Mitigating Dimensional Collapse in Heterogeneous Federated Learning1 Oct 2022
- 2022Variance Covariance Regularization Enforces Pairwise Independence in Self-Supervised Representations29 Sep 2022
- 2022Interneurons accelerate learning dynamics in recurrent neural networks for statistical adaptation21 Sep 2022
50 newest of 83 All 83 (JSON)
- 2021RobustNet: Improving Domain Generalization in Urban-Scene Segmentation via Instance Selective Whiteningcited by 213
- 2021On Feature Decorrelation in Self-Supervised Learningcited by 160
- 2022WildNet: Learning Domain Generalized Semantic Segmentation from the Wildcited by 75
- 2021Global and Local Texture Randomization for Synthetic-to-Real Semantic Segmentationcited by 56
- 2021Mimicking the Oracle: An Initial Phase Decorrelation Approach for Class Incremental Learningcited by 49
- 2022Towards Understanding and Mitigating Dimensional Collapse in Heterogeneous Federated Learningcited by 45
- 2023In Search of Lost Online Test-time Adaptation: A Surveycited by 43
- 2023ContraNorm: A Contrastive Learning Perspective on Oversmoothing and Beyondcited by 39
- 2022Self-Supervised Learning with an Information Maximization Criterioncited by 38
- 2023Why Batch Normalization Damage Federated Learning on Non-IID Data?cited by 29
- 2021A Cluster-based Approach for Improving Isotropy in Contextual Embedding Spacecited by 27
- 2021An Isotropy Analysis in the Multilingual BERT Embedding Spacecited by 25
12 most cited of 82 All 82 (JSON)
- 2026Whitening Improves Robustness to Spurious Correlations in Linear Probes30 Sep 2026
- 2026Conditioned Direct Feedback Alignment via Activity and Error Geometry20 Jul 2026
- 2026Continual Test-Time Adaptation in Computer Vision: Methods, Benchmarks, and Future Directions9 Jul 2026
- 2026SaliencyDecor: Enhancing Neural Network Interpretability through Feature Decorrelation28 Apr 2026
- 2026Learning to Discover Iterative Spectral Algorithms10 Feb 2026
- 2026PRISM: Distribution-free Adaptive Computation of Matrix Functions for Accelerating Neural Network Training29 Jan 2026
- 2025IBNorm: Information-Bottleneck Inspired Normalization for Representation Learning29 Oct 2025
- 2025An Investigation into the Performance of Non-Contrastive Self-Supervised Learning Methods for Network Intrusion Detection27 Sep 2025
- 2025White Aggregation and Restoration for Few-shot 3D Point Cloud Semantic Segmentation17 Sep 2025
- 2025Adapt in the Wild: Test-Time Entropy Minimization with Sharpness and Feature Regularization5 Sep 2025
- 2025Iterative Low-rank Network for Hyperspectral Image Denoising30 Aug 2025
- 2025ResNets Are Deeper Than You Think17 Jun 2025
12 newest of 82 All 82 (JSON)