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Convolutional neural networks (CNNs) have massively impacted visual recognition in 2D images, and are now ubiquitous in state-of-the-art approaches. CNNs do not easily extend, however, to data that are not represented by regular grids, such…

Computer Vision and Pattern Recognition · Computer Science 2018-03-29 Nitika Verma , Edmond Boyer , Jakob Verbeek

Convolutional Neural Networks (CNNs) are commonly assumed to be invariant to small image transformations: either because of the convolutional architecture or because they were trained using data augmentation. Recently, several authors have…

Computer Vision and Pattern Recognition · Computer Science 2020-01-24 Aharon Azulay , Yair Weiss

Building large models with parameter sharing accounts for most of the success of deep convolutional neural networks (CNNs). In this paper, we propose doubly convolutional neural networks (DCNNs), which significantly improve the performance…

Machine Learning · Computer Science 2016-11-01 Shuangfei Zhai , Yu Cheng , Weining Lu , Zhongfei Zhang

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

Convoulutional Neural Networks (CNNs) exhibit extraordinary performance on a variety of machine learning tasks. However, their mathematical properties and behavior are quite poorly understood. There is some work, in the form of a framework,…

Other Statistics · Statistics 2016-10-30 Jayanth Koushik

In neural networks, the property of being equivariant to transformations improves generalization when the corresponding symmetry is present in the data. In particular, scale-equivariant networks are suited to computer vision tasks where the…

Machine Learning · Statistics 2022-10-11 Mateus Sangalli , Samy Blusseau , Santiago Velasco-Forero , Jesus Angulo

We conduct an empirical study to test the ability of Convolutional Neural Networks (CNNs) to reduce the effects of nuisance transformations of the input data, such as location, scale and aspect ratio. We isolate factors by adopting a common…

Computer Vision and Pattern Recognition · Computer Science 2016-04-29 Nikolaos Karianakis , Jingming Dong , Stefano Soatto

As object recognition becomes an increasingly common ML task, and recent research demonstrating CNNs vulnerability to attacks and small image perturbations necessitate fully understanding the foundations of object recognition. We focus on…

Computer Vision and Pattern Recognition · Computer Science 2018-11-01 Megha Srivastava , Kalanit Grill-Spector

We introduce the Convolutional Set Transformer (CST), a novel neural architecture designed to process image sets of arbitrary cardinality that are visually heterogeneous yet share high-level semantics - such as a common category, scene, or…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Federico Chinello , Giacomo Boracchi

Scale invariance of an algorithm refers to its ability to treat objects equally independently of their size. For neural networks, scale invariance is typically achieved by data augmentation. However, when presented with a scale far outside…

Computer Vision and Pattern Recognition · Computer Science 2024-01-12 Tin Barisin , Katja Schladitz , Claudia Redenbach

Model interpretability is a requirement in many applications in which crucial decisions are made by users relying on a model's outputs. The recent movement for "algorithmic fairness" also stipulates explainability, and therefore…

Machine Learning · Computer Science 2018-08-21 Xuan Liu , Xiaoguang Wang , Stan Matwin

Convolutional Neural Networks (CNNs) have achieved comparable error rates to well-trained human on ILSVRC2014 image classification task. To achieve better performance, the complexity of CNNs is continually increasing with deeper and bigger…

Computer Vision and Pattern Recognition · Computer Science 2014-12-30 Wei Yu , Kuiyuan Yang , Yalong Bai , Hongxun Yao , Yong Rui

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

Convolutional Neural Networks (CNNs) are a class of artificial neural networks whose computational blocks use convolution, together with other linear and non-linear operations, to perform classification or regression. This paper explores…

Computer Vision and Pattern Recognition · Computer Science 2018-10-09 Victor Stamatescu , Mark D. McDonnell

Equivariant machine learning is an approach for designing deep learning models that respect the symmetries of the problem, with the aim of reducing model complexity and improving generalization. In this paper, we focus on an extension of…

Machine Learning · Computer Science 2024-12-10 Ya-Wei Eileen Lin , Ronen Talmon , Ron Levie

The recent success of Vision Transformers is shaking the long dominance of Convolutional Neural Networks (CNNs) in image recognition for a decade. Specifically, in terms of robustness on out-of-distribution samples, recent research finds…

Computer Vision and Pattern Recognition · Computer Science 2023-03-07 Zeyu Wang , Yutong Bai , Yuyin Zhou , Cihang Xie

Equivariance of neural networks to transformations helps to improve their performance and reduce generalization error in computer vision tasks, as they apply to datasets presenting symmetries (e.g. scalings, rotations, translations). The…

Computer Vision and Pattern Recognition · Computer Science 2022-11-08 Mateus Sangalli , Samy Blusseau , Santiago Velasco-Forero , Jesus Angulo

Scaling machine learning methods to very large datasets has attracted considerable attention in recent years, thanks to easy access to ubiquitous sensing and data from the web. We study face recognition and show that three distinct…

Computer Vision and Pattern Recognition · Computer Science 2015-04-21 Yaniv Taigman , Ming Yang , Marc'Aurelio Ranzato , Lior Wolf

Convolutional Neural Networks have become the standard for image classification tasks, however, these architectures are not invariant to translations of the input image. This lack of invariance is attributed to the use of stride which…

Machine Learning · Computer Science 2021-03-19 Coenraad Mouton , Johannes C. Myburgh , Marelie H. Davel

Supervised machine learning is emerging as a powerful computational tool to predict the properties of complex quantum systems at a limited computational cost. In this article, we quantify how accurately deep neural networks can learn the…

Computational Physics · Physics 2020-09-03 N. Saraceni , S. Cantori , S. Pilati