Whitening and Coloring batch transform for GANs
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Abstract (arXiv)
Batch Normalization (BN) is a common technique used to speed-up and stabilize training. On the other hand, the learnable parameters of BN are commonly used in conditional Generative Adversarial Networks (cGANs) for representing class-specific information using conditional Batch Normalization (cBN). In this paper we propose to generalize both BN and cBN using a Whitening and Coloring based batch normalization. We show that our conditional Coloring can represent categorical conditioning information which largely helps the cGAN qualitative results. Moreover, we show that full-feature whitening is important in a general GAN scenario in which the training process is known to be highly unstable. We test our approach on different datasets and using different GAN networks and training protocols, showing a consistent improvement in all the tested frameworks. Our CIFAR-10 conditioned results are higher than all previous works on this dataset.
Key facts. Cited by 27 papers in the map (data through 7 Oct 2026). First posted on arXiv 1 Jun 2018.
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Citing papers per year: 2021: 9; 2022: 6; 2023: 5; 2024: 3; 2025: 4.
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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
- 2021Rebooting ACGAN: Auxiliary Classifier GANs with Stable Trainingcited by 57
- 2023ContraNorm: A Contrastive Learning Perspective on Oversmoothing and Beyondcited by 39
- 2022StudioGAN: A Taxonomy and Benchmark of GANs for Image Synthesiscited by 38
- 2022An Investigation into Whitening Loss for Self-supervised Learningcited by 21
- 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
- 2023More Synergy, Less Redundancy: Exploiting Joint Mutual Information for Self-Supervised Learningcited by 11
- 2023Modulate Your Spectrum in Self-Supervised Learningcited by 9
15 more
- 2025Details Matter for Indoor Open-vocabulary 3D Instance Segmentationcited by 8
- 2022Orthogonal SVD Covariance Conditioning and Latent Disentanglementcited by 5
- 2023Hierarchical Semantic Tree Concept Whitening for Interpretable Image Classificationcited by 5
- 2022Improving Covariance Conditioning of the SVD Meta-layer by Orthogonalitycited 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
- 2025Neural Multivariate Regression: Qualitative Insights from the Unconstrained Feature Modelcited by 2
- 2025Controllable Feature Whitening for Hyperparameter-Free Bias Mitigationcited by 2
- 2021Towards Controllable and Photorealistic Region-wise Image Manipulationcited by 1
- 2024Whitening Not Recommended for Classification Tasks in LLMscited by 1
- 2024Covariance-corrected Whitening Alleviates Network Degeneration on Imbalanced Classificationcited by 1
- 2025IBNorm: Information-Bottleneck Inspired Normalization for Representation Learningcited by 1
- 2021You Only Need End-to-End Training for Long-Tailed Recognitioncited by 0
- 2024Direct Coloring for Self-Supervised Enhanced Feature Decouplingcited by 0
- 2025IBNorm: Information-Bottleneck Inspired Normalization for Representation Learning29 Oct 2025
- 2025Details Matter for Indoor Open-vocabulary 3D Instance Segmentation30 Jul 2025
- 2025Controllable Feature Whitening for Hyperparameter-Free Bias Mitigation27 Jul 2025
- 2025Neural Multivariate Regression: Qualitative Insights from the Unconstrained Feature Model14 May 2025
- 2024Direct Coloring for Self-Supervised Enhanced Feature Decoupling3 Dec 2024
- 2024Covariance-corrected Whitening Alleviates Network Degeneration on Imbalanced Classification30 Aug 2024
- 2024Whitening Not Recommended for Classification Tasks in LLMs16 Jul 2024
- 2023Hierarchical Semantic Tree Concept Whitening for Interpretable Image Classification10 Jul 2023
- 2023More Synergy, Less Redundancy: Exploiting Joint Mutual Information for Self-Supervised Learning2 Jul 2023
- 2023Modulate Your Spectrum in Self-Supervised Learning26 May 2023
- 2023VNE: An Effective Method for Improving Deep Representation by Manipulating Eigenvalue Distribution4 Apr 2023
- 2023ContraNorm: A Contrastive Learning Perspective on Oversmoothing and Beyond12 Mar 2023
15 more
- 2022Orthogonal SVD Covariance Conditioning and Latent Disentanglement11 Dec 2022
- 2022An Investigation into Whitening Loss for Self-supervised Learning7 Oct 2022
- 2022Improving Covariance Conditioning of the SVD Meta-layer by Orthogonality5 Jul 2022
- 2022StudioGAN: A Taxonomy and Benchmark of GANs for Image Synthesis19 Jun 2022
- 2022Fast Differentiable Matrix Square Root and Inverse Square Root29 Jan 2022
- 2022Fast Differentiable Matrix Square Root21 Jan 2022
- 2021You Only Need End-to-End Training for Long-Tailed Recognition11 Dec 2021
- 2021Differentiable Gaussianization Layers for Inverse Problems Regularized by Deep Generative Models7 Dec 2021
- 2021Rebooting ACGAN: Auxiliary Classifier GANs with Stable Training1 Nov 2021
- 2021Computer Vision Self-supervised Learning Methods on Time Series2 Sep 2021
- 2021Improving Generalization of Batch Whitening by Convolutional Unit Optimization24 Aug 2021
- 2021Towards Controllable and Photorealistic Region-wise Image Manipulation19 Aug 2021
- 2021On Feature Decorrelation in Self-Supervised Learning2 May 2021
- 2021Robust Differentiable SVD8 Apr 2021
- 2021RobustNet: Improving Domain Generalization in Urban-Scene Segmentation via Instance Selective Whitening29 Mar 2021
- 2021RobustNet: Improving Domain Generalization in Urban-Scene Segmentation via Instance Selective Whiteningcited by 213
- 2021On Feature Decorrelation in Self-Supervised Learningcited by 160
- 2021Rebooting ACGAN: Auxiliary Classifier GANs with Stable Trainingcited by 57
- 2023ContraNorm: A Contrastive Learning Perspective on Oversmoothing and Beyondcited by 39
- 2022StudioGAN: A Taxonomy and Benchmark of GANs for Image Synthesiscited by 38
- 2022An Investigation into Whitening Loss for Self-supervised Learningcited by 21
- 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
- 2023More Synergy, Less Redundancy: Exploiting Joint Mutual Information for Self-Supervised Learningcited by 11
- 2023Modulate Your Spectrum in Self-Supervised Learningcited by 9
12 most cited of 25 All 25 (JSON)
- 2025IBNorm: Information-Bottleneck Inspired Normalization for Representation Learning29 Oct 2025
- 2025Controllable Feature Whitening for Hyperparameter-Free Bias Mitigation27 Jul 2025
- 2025Neural Multivariate Regression: Qualitative Insights from the Unconstrained Feature Model14 May 2025
- 2024Direct Coloring for Self-Supervised Enhanced Feature Decoupling3 Dec 2024
- 2024Covariance-corrected Whitening Alleviates Network Degeneration on Imbalanced Classification30 Aug 2024
- 2024Whitening Not Recommended for Classification Tasks in LLMs16 Jul 2024
- 2023Hierarchical Semantic Tree Concept Whitening for Interpretable Image Classification10 Jul 2023
- 2023More Synergy, Less Redundancy: Exploiting Joint Mutual Information for Self-Supervised Learning2 Jul 2023
- 2023Modulate Your Spectrum in Self-Supervised Learning26 May 2023
- 2023VNE: An Effective Method for Improving Deep Representation by Manipulating Eigenvalue Distribution4 Apr 2023
- 2023ContraNorm: A Contrastive Learning Perspective on Oversmoothing and Beyond12 Mar 2023
- 2022Orthogonal SVD Covariance Conditioning and Latent Disentanglement11 Dec 2022
12 newest of 25 All 25 (JSON)