Improving Shift Invariance in Convolutional Neural Networks with Translation Invariant Polyphase Sampling
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Abstract (arXiv)
Downsampling operators break the shift invariance of convolutional neural networks (CNNs) and this affects the robustness of features learned by CNNs when dealing with even small pixel-level shift. Through a large-scale correlation analysis framework, we study shift invariance of CNNs by inspecting existing downsampling operators in terms of their maximum-sampling bias (MSB), and find that MSB is negatively correlated with shift invariance. Based on this crucial insight, we propose a learnable pooling operator called Translation Invariant Polyphase Sampling (TIPS) and two regularizations on the intermediate feature maps of TIPS to reduce MSB and learn translation-invariant representations. TIPS can be integrated into any CNN and can be trained end-to-end with marginal computational overhead. Our experiments demonstrate that TIPS results in consistent performance gains in terms of accuracy, shift consistency, and shift fidelity on multiple benchmarks for image classification and semantic segmentation compared to previous methods and also leads to improvements in adversarial and distributional robustness. TIPS results in the lowest MSB compared to all previous methods, thus explaining our strong empirical results.
Key facts. Cited by 6 papers in the map (data through 14 Oct 2026). Builds on 52 of its 74 references that are in the map. First posted on arXiv 11 Apr 2024.
Builds on
52 of 74 references.
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Citing papers per year: 2025: 2; 2026: 4.
6 papers.
- 2025Alias-Free Latent Diffusion Models: Improving Fractional Shift Equivariance of Diffusion Latent Spacecited by 14
- 2026To Erase, or Not to Erase: Robust Training-Free Concept Erasure with Preservation aware Adaptive Ranked Subspace Expansioncited by 3
- 2025Translation-Equivariance of Normalization Layers and Aliasing in Convolutional Neural Networkscited by 1
- 2026OracleZoom: On-Policy Self-Distillation Inspired Reference-Constrained Recursive Image Super Resolutioncited by 1
- 2026BEFORE THE FLIP: Measuring Hidden Score Shifts In Quantized Vision Language Models Before The Answer Changes for Visual Question Answeringcited by 1
- 2026New Evidence, Same Choice: Testing Physical Experiment Selection in Vision Language Modelscited by 0
- 2026New Evidence, Same Choice: Testing Physical Experiment Selection in Vision Language Models10 Sep 2026
- 2026BEFORE THE FLIP: Measuring Hidden Score Shifts In Quantized Vision Language Models Before The Answer Changes for Visual Question Answering7 Sep 2026
- 2026OracleZoom: On-Policy Self-Distillation Inspired Reference-Constrained Recursive Image Super Resolution6 Sep 2026
- 2026To Erase, or Not to Erase: Robust Training-Free Concept Erasure with Preservation aware Adaptive Ranked Subspace Expansion26 Jul 2026
- 2025Translation-Equivariance of Normalization Layers and Aliasing in Convolutional Neural Networks26 May 2025
- 2025Alias-Free Latent Diffusion Models: Improving Fractional Shift Equivariance of Diffusion Latent Space12 Mar 2025