mlsanityData to 7 Oct 2026

Scale-Invariant Convolutional Neural Networks

arXiv 1411.6369 ↗First posted 24 Nov 2014cs.CV cs.LG cs.NEcited by 40

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Abstract (arXiv)

Even though convolutional neural networks (CNN) has achieved near-human performance in various computer vision tasks, its ability to tolerate scale variations is limited. The popular practise is making the model bigger first, and then train it with data augmentation using extensive scale-jittering. In this paper, we propose a scaleinvariant convolutional neural network (SiCNN), a modeldesigned to incorporate multi-scale feature exaction and classification into the network structure. SiCNN uses a multi-column architecture, with each column focusing on a particular scale. Unlike previous multi-column strategies, these columns share the same set of filter parameters by a scale transformation among them. This design deals with scale variation without blowing up the model size. Experimental results show that SiCNN detects features at various scales, and the classification result exhibits strong robustness against object scale variations.

Key facts. Cited by 40 papers in the map (data through 7 Oct 2026). First posted on arXiv 24 Nov 2014.

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Citing papers per year: 2021: 6; 2022: 7; 2023: 15; 2024: 5; 2025: 4; 2026: 3.

40 papers.

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  1. 2022Chaos is a Ladder: A New Theoretical Understanding of Contrastive Learning via Augmentation Overlapcited by 105
  2. 2024Neural Operators with Localized Integral and Differential Kernelscited by 59
  3. 2022DEVIANT: Depth EquiVarIAnt NeTwork for Monocular 3D Object Detectioncited by 48
  4. 2021DISCO: accurate Discrete Scale Convolutionscited by 35
  5. 2022Text2Light: Zero-Shot Text-Driven HDR Panorama Generationcited by 24
  6. 2021Scale-invariant scale-channel networks: Deep networks that generalise to previously unseen scalescited by 17
  7. 2023Scale-Equivariant UNet for Histopathology Image Segmentationcited by 11
  8. 2021Learning Online Visual Invariances for Novel Objects via Supervised and Self-Supervised Trainingcited by 10
  9. 2023Riesz networks: scale invariant neural networks in a single forward passcited by 8
  10. 2021Deformation Robust Roto-Scale-Translation Equivariant CNNscited by 7
  11. 2022Improving the Sample-Complexity of Deep Classification Networks with Invariant Integrationcited by 7
  12. 2023Scale-Equivariant Deep Learning for 3D Datacited by 6
28 more
  1. 2023Steerable Equivariant Representation Learningcited by 5
  2. 2023RSF-Conv: Rotation-and-Scale Equivariant Fourier Parameterized Convolution for Retinal Vessel Segmentationcited by 5
  3. 2021Downbeat Tracking with Tempo-Invariant Convolutional Neural Networkscited by 4
  4. 2021CNN-based Ego-Motion Estimation for Fast MAV Maneuverscited by 3
  5. 2024Scale generalisation properties of extended scale-covariant and scale-invariant Gaussian derivative networks on image datasets with spatial scaling variationscited by 3
  6. 2025Overtone: Cyclic Patch Modulation for Clean, Efficient, and Flexible Physics Emulatorscited by 3
  7. 2022Just a Matter of Scale? Reevaluating Scale Equivariance in Convolutional Neural Networkscited by 2
  8. 2023Deep Neural Networks with Efficient Guaranteed Invariancescited by 2
  9. 2023Scale-Rotation-Equivariant Lie Group Convolution Neural Networks (Lie Group-CNNs)cited by 2
  10. 2023Scale-Preserving Automatic Concept Extraction (SPACE)cited by 2
  11. 2025Local Scale Equivariance with Latent Deep Equilibrium Canonicalizercited by 2
  12. 2025Generalized Spherical Neural Operators: Green's Function Formulationcited by 2
  13. 2022Scalar Invariant Networks with Zero Biascited by 1
  14. 2023Machine Learning-based Signal Quality Assessment for Cardiac Volume Monitoring in Electrical Impedance Tomographycited by 1
  15. 2023Hawk: An Industrial-strength Multi-label Document Classifiercited by 1
  16. 2023SO(2) and O(2) Equivariance in Image Recognition with Bessel-Convolutional Neural Networkscited by 1
  17. 2023Evaluating Machine Learning Models with NERO: Non-Equivariance Revealed on Orbitscited by 1
  18. 2023Advancing Perception in Artificial Intelligence through Principles of Cognitive Sciencecited by 1
  19. 2024Investigation to answer three key questions concerning plant pest identification and development of a practical identification frameworkcited by 1
  20. 2022Scale dependant layer for self-supervised nuclei encodingcited by 0
  21. 2023Restore Translation Using Equivariant Neural Networkscited by 0
  22. 2023Unveiling Invariances via Neural Network Pruningcited by 0
  23. 2024Retina Vision Transformer (RetinaViT): Introducing Scaled Patches into Vision Transformerscited by 0
  24. 2024Multi-scale Unified Network for Image Classificationcited by 0
  25. 2025GASPnet: Global Agreement to Synchronize Phasescited by 0
  26. 2026Neural Operators for Biomedical Spherical Heterogeneitycited by 0
  27. 2026Scale-invariant Gaussian derivative residual networkscited by 0
  28. 2026Distilling Latent Manifolds: Resolution Extrapolation by Variational Autoencoderscited by 0