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Convolutional neural networks have recently shown excellent results in general object detection and many other tasks. Albeit very effective, they involve many user-defined design choices. In this paper we want to better understand these…

Computer Vision and Pattern Recognition · Computer Science 2015-08-19 Bojan Pepik , Rodrigo Benenson , Tobias Ritschel , Bernt Schiele

Convolutional neural networks use pooling and other downscaling operations to maintain translational invariance for detection of features, but in their architecture they do not explicitly maintain a representation of the locations of the…

Computer Vision and Pattern Recognition · Computer Science 2021-03-16 Prem Nair , Rohan Doshi , Stefan Keselj

Convolutional neural networks typically contain several downsampling operators, such as strided convolutions or pooling layers, that progressively reduce the resolution of intermediate representations. This provides some shift-invariance…

Machine Learning · Computer Science 2022-02-04 Rachid Riad , Olivier Teboul , David Grangier , Neil Zeghidour

Several recent works have empirically observed that Convolutional Neural Nets (CNNs) are (approximately) invertible. To understand this approximate invertibility phenomenon and how to leverage it more effectively, we focus on a theoretical…

Machine Learning · Statistics 2017-05-25 Anna C. Gilbert , Yi Zhang , Kibok Lee , Yuting Zhang , Honglak Lee

In recent years, deep neural networks have emerged as a solution for inverse imaging problems. These networks are generally trained using pairs of images: one degraded and the other of high quality, the latter being called 'ground truth'.…

Information Retrieval · Computer Science 2025-10-01 Victor Sechaud , Patrice Abry , Laurent Jacques , Julián Tachella

Convolutional Neural Networks define an exceptionally powerful class of models, but are still limited by the lack of ability to be spatially invariant to the input data in a computationally and parameter efficient manner. In this work we…

Computer Vision and Pattern Recognition · Computer Science 2016-02-05 Max Jaderberg , Karen Simonyan , Andrew Zisserman , Koray Kavukcuoglu

Deep convolutional neural networks (CNN) have recently been shown to generate promising results for aesthetics assessment. However, the performance of these deep CNN methods is often compromised by the constraint that the neural network…

Computer Vision and Pattern Recognition · Computer Science 2017-04-04 Shuang Ma , Jing Liu , Chang Wen Chen

We present a novel framework to overcome the limitations of equivariant architectures in learning functions with group symmetries. In contrary to equivariant architectures, we use an arbitrary base model such as an MLP or a transformer and…

Machine Learning · Computer Science 2024-04-16 Jinwoo Kim , Tien Dat Nguyen , Ayhan Suleymanzade , Hyeokjun An , Seunghoon Hong

Convolutional neural networks can automatically learn features via deep network architectures and given input samples. However, the robustness of obtained models may face challenges in varying scenes. Bigger differences in network…

Image and Video Processing · Electrical Eng. & Systems 2025-10-21 Ziang Wu , Jinwei Xie , Xuanyu Zhang , Tao Wang , Yongjun Zhang , Qi Zhu , Chunwei Tian

A number of machine learning tasks entail a high degree of invariance: the data distribution does not change if we act on the data with a certain group of transformations. For instance, labels of images are invariant under translations of…

Machine Learning · Statistics 2021-03-01 Song Mei , Theodor Misiakiewicz , Andrea Montanari

Deep learning techniques have become prominent in modern fault diagnosis for complex processes. In particular, convolutional neural networks (CNNs) have shown an appealing capacity to deal with multivariate time-series data by converting…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Saif S. S. Al-Wahaibi , Qiugang Lu

Applying convolutional neural networks to large images is computationally expensive because the amount of computation scales linearly with the number of image pixels. We present a novel recurrent neural network model that is capable of…

Machine Learning · Computer Science 2014-06-25 Volodymyr Mnih , Nicolas Heess , Alex Graves , Koray Kavukcuoglu

Equivariant neural networks are designed to respect symmetries through their architecture, boosting generalization and sample efficiency when those symmetries are present in the data distribution. Real-world data, however, often departs…

Machine Learning · Computer Science 2025-12-12 Andrei Manolache , Luiz F. O. Chamon , Mathias Niepert

In certain situations, neural networks are trained upon data that obey underlying symmetries. However, the predictions do not respect the symmetries exactly unless embedded in the network structure. In this work, we introduce architectures…

Machine Learning · Computer Science 2022-04-28 Anwesh Bhattacharya , Marios Mattheakis , Pavlos Protopapas

Recent self-supervised contrastive methods have been able to produce impressive transferable visual representations by learning to be invariant to different data augmentations. However, these methods implicitly assume a particular set of…

Computer Vision and Pattern Recognition · Computer Science 2021-03-22 Tete Xiao , Xiaolong Wang , Alexei A. Efros , Trevor Darrell

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

Feature representations, both hand-designed and learned ones, are often hard to analyze and interpret, even when they are extracted from visual data. We propose a new approach to study image representations by inverting them with an…

Neural and Evolutionary Computing · Computer Science 2016-04-28 Alexey Dosovitskiy , Thomas Brox

The purpose of this short and simple note is to clarify a common misconception about convolutional neural networks (CNNs). CNNs are made up of convolutional layers which are shift equivariant due to weight sharing. However, convolutional…

Computer Vision and Pattern Recognition · Computer Science 2023-12-08 Nick McGreivy , Ammar Hakim

Convolutional networks are successful due to their equivariance/invariance under translations. However, rotatable data such as images, volumes, shapes, or point clouds require processing with equivariance/invariance under rotations in cases…

Machine Learning · Computer Science 2021-11-23 Luca Della Libera , Vladimir Golkov , Yue Zhu , Arman Mielke , Daniel Cremers

For many years, it has been shown how much exploiting equivariances can be beneficial when solving image analysis tasks. For example, the superiority of convolutional neural networks (CNNs) compared to dense networks mainly comes from an…

Computer Vision and Pattern Recognition · Computer Science 2023-04-20 Valentin Delchevalerie , Alexandre Mayer , Adrien Bibal , Benoît Frénay