Learning rotation invariant convolutional filters for texture classification
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Abstract (arXiv)
We present a method for learning discriminative filters using a shallow Convolutional Neural Network (CNN). We encode rotation invariance directly in the model by tying the weights of groups of filters to several rotated versions of the canonical filter in the group. These filters can be used to extract rotation invariant features well-suited for image classification. We test this learning procedure on a texture classification benchmark, where the orientations of the training images differ from those of the test images. We obtain results comparable to the state-of-the-art. Compared to standard shallow CNNs, the proposed method obtains higher classification performance while reducing by an order of magnitude the number of parameters to be learned.
Key facts. Cited by 24 papers in the map (data through 14 Oct 2026). First posted on arXiv 22 Apr 2016.
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Citing papers per year: 2021: 11; 2022: 5; 2023: 4; 2024: 1; 2025: 1; 2026: 2.
24 papers.
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- 2021Deep Learning for UAV-based Object Detection and Tracking: A Surveycited by 33
- 2021Convolutional Neural Networks Are Not Invariant to Translation, but They Can Learn to Becited by 19
- 2021Scale-invariant scale-channel networks: Deep networks that generalise to previously unseen scalescited by 17
- 2023Revisiting Data Augmentation for Rotational Invariance in Convolutional Neural Networkscited by 16
- 2021Group Equivariant Subsamplingcited by 15
- 2021Symmetric-Constrained Irregular Structure Inpainting for Brain MRI Registration with Tumor Pathologycited by 10
- 2021Learning Online Visual Invariances for Novel Objects via Supervised and Self-Supervised Trainingcited by 10
- 2021Training or Architecture? How to Incorporate Invariance in Neural Networkscited by 9
- 2022Robust Perception through Equivariancecited by 9
- 2021Set-to-Sequence Methods in Machine Learning: a Reviewcited by 6
- 2023Foundation Model-oriented Robustness: Robust Image Model Evaluation with Pretrained Modelscited by 6
- 2022Analysis of convolutional neural network image classifiers in a rotationally symmetric modelcited by 4
12 more
- 2021Condensation-Net: Memory-Efficient Network Architecture with Cross-Channel Pooling Layers and Virtual Feature Mapscited by 3
- 2021Designing Rotationally Invariant Neural Networks from PDEs and Variational Methodscited by 3
- 2022Symmetry Structured Convolutional Neural Networkscited by 2
- 2022A Simple Strategy to Provable Invariance via Orbit Mappingcited by 2
- 2023H-NeXt: The next step towards roto-translation invariant networkscited by 2
- 2021Multi-Task Learning based Convolutional Models with Curriculum Learning for the Anisotropic Reynolds Stress Tensor in Turbulent Duct Flowcited by 1
- 2023SO(2) and O(2) Equivariance in Image Recognition with Bessel-Convolutional Neural Networkscited by 1
- 2026REViT: Roto-reflection Equivariant Convolutional Vision Transformercited by 1
- 2022A Rotation Meanout Network with Invariance for Dermoscopy Image Classification and Retrievalcited by 0
- 2024On the effectiveness of Rotation-Equivariance in U-Net: A Benchmark for Image Segmentationcited by 0
- 2025Accelerated Rotation-Invariant Convolution for UAV Image Segmentationcited by 0
- 2026Transversal Pooling Neural Networkscited by 0
- 2026Transversal Pooling Neural Networks28 Sep 2026
- 2026REViT: Roto-reflection Equivariant Convolutional Vision Transformer24 Jun 2026
- 2025Accelerated Rotation-Invariant Convolution for UAV Image Segmentation9 Dec 2025
- 2024On the effectiveness of Rotation-Equivariance in U-Net: A Benchmark for Image Segmentation12 Dec 2024
- 2023H-NeXt: The next step towards roto-translation invariant networks2 Nov 2023
- 2023Revisiting Data Augmentation for Rotational Invariance in Convolutional Neural Networks12 Oct 2023
- 2023Foundation Model-oriented Robustness: Robust Image Model Evaluation with Pretrained Models21 Aug 2023
- 2023SO(2) and O(2) Equivariance in Image Recognition with Bessel-Convolutional Neural Networks18 Apr 2023
- 2022Robust Perception through Equivariance12 Dec 2022
- 2022A Simple Strategy to Provable Invariance via Orbit Mapping24 Sep 2022
- 2022A Rotation Meanout Network with Invariance for Dermoscopy Image Classification and Retrieval1 Aug 2022
- 2022Analysis of convolutional neural network image classifiers in a rotationally symmetric model11 May 2022
12 more
- 2022Symmetry Structured Convolutional Neural Networks3 Mar 2022
- 2021Multi-Task Learning based Convolutional Models with Curriculum Learning for the Anisotropic Reynolds Stress Tensor in Turbulent Duct Flow30 Oct 2021
- 2021Deep Learning for UAV-based Object Detection and Tracking: A Survey25 Oct 2021
- 2021Convolutional Neural Networks Are Not Invariant to Translation, but They Can Learn to Be12 Oct 2021
- 2021Learning Online Visual Invariances for Novel Objects via Supervised and Self-Supervised Training4 Oct 2021
- 2021Designing Rotationally Invariant Neural Networks from PDEs and Variational Methods31 Aug 2021
- 2021Training or Architecture? How to Incorporate Invariance in Neural Networks18 Jun 2021
- 2021Scale-invariant scale-channel networks: Deep networks that generalise to previously unseen scales11 Jun 2021
- 2021Group Equivariant Subsampling10 Jun 2021
- 2021Condensation-Net: Memory-Efficient Network Architecture with Cross-Channel Pooling Layers and Virtual Feature Maps29 Apr 2021
- 2021Set-to-Sequence Methods in Machine Learning: a Review17 Mar 2021
- 2021Symmetric-Constrained Irregular Structure Inpainting for Brain MRI Registration with Tumor Pathology17 Jan 2021
- 2021Deep Learning for UAV-based Object Detection and Tracking: A Surveycited by 33
- 2021Convolutional Neural Networks Are Not Invariant to Translation, but They Can Learn to Becited by 19
- 2021Scale-invariant scale-channel networks: Deep networks that generalise to previously unseen scalescited by 17
- 2023Revisiting Data Augmentation for Rotational Invariance in Convolutional Neural Networkscited by 16
- 2021Group Equivariant Subsamplingcited by 15
- 2021Symmetric-Constrained Irregular Structure Inpainting for Brain MRI Registration with Tumor Pathologycited by 10
- 2021Learning Online Visual Invariances for Novel Objects via Supervised and Self-Supervised Trainingcited by 10
- 2021Training or Architecture? How to Incorporate Invariance in Neural Networkscited by 9
- 2022Robust Perception through Equivariancecited by 9
- 2021Set-to-Sequence Methods in Machine Learning: a Reviewcited by 6
- 2023Foundation Model-oriented Robustness: Robust Image Model Evaluation with Pretrained Modelscited by 6
- 2022Analysis of convolutional neural network image classifiers in a rotationally symmetric modelcited by 4
12 most cited of 24 All 24 (JSON)
- 2026Transversal Pooling Neural Networks28 Sep 2026
- 2026REViT: Roto-reflection Equivariant Convolutional Vision Transformer24 Jun 2026
- 2025Accelerated Rotation-Invariant Convolution for UAV Image Segmentation9 Dec 2025
- 2024On the effectiveness of Rotation-Equivariance in U-Net: A Benchmark for Image Segmentation12 Dec 2024
- 2023H-NeXt: The next step towards roto-translation invariant networks2 Nov 2023
- 2023Revisiting Data Augmentation for Rotational Invariance in Convolutional Neural Networks12 Oct 2023
- 2023Foundation Model-oriented Robustness: Robust Image Model Evaluation with Pretrained Models21 Aug 2023
- 2023SO(2) and O(2) Equivariance in Image Recognition with Bessel-Convolutional Neural Networks18 Apr 2023
- 2022Robust Perception through Equivariance12 Dec 2022
- 2022A Simple Strategy to Provable Invariance via Orbit Mapping24 Sep 2022
- 2022A Rotation Meanout Network with Invariance for Dermoscopy Image Classification and Retrieval1 Aug 2022
- 2022Analysis of convolutional neural network image classifiers in a rotationally symmetric model11 May 2022
12 newest of 24 All 24 (JSON)