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We address the problem that state-of-the-art Convolution Neural Networks (CNN) classifiers are not invariant to small shifts. The problem can be solved by the removal of sub-sampling operations such as stride and max pooling, but at a cost…

Computer Vision and Pattern Recognition · Computer Science 2019-11-27 Ganesh Sundaramoorthi , Timothy E. Wang

Thanks to the use of convolution and pooling layers, convolutional neural networks were for a long time thought to be shift-invariant. However, recent works have shown that the output of a CNN can change significantly with small shifts in…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Anadi Chaman , Ivan Dokmanić

Convolutional neural networks lack shift equivariance due to the presence of downsampling layers. In image classification, adaptive polyphase downsampling (APS-D) was recently proposed to make CNNs perfectly shift invariant. However, in…

Computer Vision and Pattern Recognition · Computer Science 2021-12-08 Anadi Chaman , Ivan Dokmanić

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…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Sourajit Saha , Tejas Gokhale

To read the final version please go to IEEE TGRS on IEEE Xplore. Convolutional neural networks (CNNs) have been attracting increasing attention in hyperspectral (HS) image classification, owing to their ability to capture spatial-spectral…

Computer Vision and Pattern Recognition · Computer Science 2021-07-07 Danfeng Hong , Lianru Gao , Jing Yao , Bing Zhang , Antonio Plaza , Jocelyn Chanussot

We introduce Deep-HiTS, a rotation invariant convolutional neural network (CNN) model for classifying images of transients candidates into artifacts or real sources for the High cadence Transient Survey (HiTS). CNNs have the advantage of…

Instrumentation and Methods for Astrophysics · Physics 2017-02-22 Guillermo Cabrera-Vives , Ignacio Reyes , Francisco Förster , Pablo A. Estévez , Juan-Carlos Maureira

With the development of data acquisition technology, large amounts of multi-channel data are collected and widely used in many fields. Most of them, such as RGB images and vector fields, can be expressed as different types of multi-channel…

Computer Vision and Pattern Recognition · Computer Science 2023-01-09 Hanlin Mo , Hua Li , Guoying Zhao

Convolutional neural networks (CNNs) have achieved state-of-the-art results on many visual recognition tasks. However, current CNN models still exhibit a poor ability to be invariant to spatial transformations of images. Intuitively, with…

Computer Vision and Pattern Recognition · Computer Science 2019-12-04 Xu Shen , Xinmei Tian , Anfeng He , Shaoyan Sun , Dacheng Tao

Convolutional neural networks have shown remarkable performance in recent years on various computer vision problems. However, the traditional convolutional neural network architecture lacks a critical property: shift equivariance and…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Quentin Gabot , Teck-Yian Lim , Jérémy Fix , Joana Frontera-Pons , Chengfang Ren , Jean-Philippe Ovarlez

Group-convolutional neural networks (GCNNs) are among the most important methods for introducing symmetry as an inductive bias in deep learning: In each linear layer, GCNNs sample a transformation group $G$ densely and correlate data and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Daniel Franzen , Jean Philip Filling , Michael Wand

Gravity inversion is the problem of estimating subsurface density distributions from observed gravitational field data. We consider the two-dimensional (2D) case, in which recovering density models from one-dimensional (1D) measurements…

Many convolutional neural networks (CNNs) rely on progressive downsampling of their feature maps to increase the network's receptive field and decrease computational cost. However, this comes at the price of losing granularity in the…

Computer Vision and Pattern Recognition · Computer Science 2023-05-17 Robin Hesse , Simone Schaub-Meyer , Stefan Roth

Subsampling is used in convolutional neural networks (CNNs) in the form of pooling or strided convolutions, to reduce the spatial dimensions of feature maps and to allow the receptive fields to grow exponentially with depth. However, it is…

Machine Learning · Computer Science 2021-06-11 Jin Xu , Hyunjik Kim , Tom Rainforth , Yee Whye Teh

This letter presents a novel high impedance fault (HIF) detection approach using a convolutional neural network (CNN). Compared to traditional artificial neural networks, a CNN offers translation invariance and it can accurately detect HIFs…

Signal Processing · Electrical Eng. & Systems 2019-04-19 Rui Fan , Tianzhixi Yin

Previous work generally believes that improving the spatial invariance of convolutional networks is the key to object counting. However, after verifying several mainstream counting networks, we surprisingly found too strict pixel-level…

Computer Vision and Pattern Recognition · Computer Science 2022-08-19 Zhi-Qi Cheng , Qi Dai , Hong Li , JingKuan Song , Xiao Wu , Alexander G. Hauptmann

The convolutional layers of standard convolutional neural networks (CNNs) are equivariant to translation. However, the convolution and fully-connected layers are not equivariant or invariant to other affine geometric transformations.…

Computer Vision and Pattern Recognition · Computer Science 2022-09-23 Jaspreet Singh , Chandan Singh

Translating or rotating an input image should not affect the results of many computer vision tasks. Convolutional neural networks (CNNs) are already translation equivariant: input image translations produce proportionate feature map…

Computer Vision and Pattern Recognition · Computer Science 2017-04-12 Daniel E. Worrall , Stephan J. Garbin , Daniyar Turmukhambetov , Gabriel J. Brostow

Downsampling layers are crucial building blocks in CNN architectures, which help to increase the receptive field for learning high-level features and reduce the amount of memory/computation in the model. In this work, we study the…

Machine Learning · Computer Science 2025-04-25 Md Ashiqur Rahman , Raymond A. Yeh

Convolutional neural networks (CNNs) have demonstrated remarkable results in image classification for benchmark tasks and practical applications. The CNNs with deeper architectures have achieved even higher performance recently thanks to…

Computer Vision and Pattern Recognition · Computer Science 2019-04-15 Ryo Takahashi , Takashi Matsubara , Kuniaki Uehara

Graph Convolutional Networks (GCNs) have achieved impressive empirical advancement across a wide variety of semi-supervised node classification tasks. Despite their great success, training GCNs on large graphs suffers from computational and…

Machine Learning · Computer Science 2021-11-02 Weilin Cong , Morteza Ramezani , Mehrdad Mahdavi
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