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The weight-sharing mechanism of convolutional kernels ensures translation-equivariance of convolution neural networks (CNNs). Recently, rotation-equivariance has been investigated. However, research on scale-equivariance or simultaneous…

Computer Vision and Pattern Recognition · Computer Science 2023-06-13 Wei-Dong Qiao , Yang Xu , Hui Li

Leveraging large data sets, deep Convolutional Neural Networks (CNNs) achieve state-of-the-art recognition accuracy. Due to the substantial compute and memory operations, however, they require significant execution time. The massive…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-13 Chao Li , Yi Yang , Min Feng , Srimat Chakradhar , Huiyang Zhou

In many machine learning tasks it is desirable that a model's prediction transforms in an equivariant way under transformations of its input. Convolutional neural networks (CNNs) implement translational equivariance by construction; for…

Machine Learning · Computer Science 2018-03-20 Maurice Weiler , Fred A. Hamprecht , Martin Storath

Recent works have highlighted scale invariance or symmetry that is present in the weight space of a typical deep network and the adverse effect that it has on the Euclidean gradient based stochastic gradient descent optimization. In this…

Machine Learning · Computer Science 2015-11-10 Vijay Badrinarayanan , Bamdev Mishra , Roberto Cipolla

In this work we analyze strategies for convolutional neural network scaling; that is, the process of scaling a base convolutional network to endow it with greater computational complexity and consequently representational power. Example…

Computer Vision and Pattern Recognition · Computer Science 2021-03-12 Piotr Dollár , Mannat Singh , Ross Girshick

Weakly supervised semantic segmentation has attracted much research interest in recent years considering its advantage of low labeling cost. Most of the advanced algorithms follow the design principle that expands and constrains the seed…

Computer Vision and Pattern Recognition · Computer Science 2019-09-10 Yude Wang , Jie Zhang , Meina Kan , Shiguang Shan , Xilin Chen

Previous work has shown that the artist of an artwork can be identified by use of computational methods that analyse digital images. However, the digitised artworks are often investigated at a coarse scale discarding many of the important…

Computer Vision and Pattern Recognition · Computer Science 2015-06-22 Nanne van Noord , Eric Postma

Incorporating either rotation equivariance or scale equivariance into CNNs has proved to be effective in improving models' generalization performance. However, jointly integrating rotation and scale equivariance into CNNs has not been…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Yilong Yang , Srinandan Dasmahapatra , Sasan Mahmoodi

Given the variety of the visual world there is not one true scale for recognition: objects may appear at drastically different sizes across the visual field. Rather than enumerate variations across filter channels or pyramid levels, dynamic…

Computer Vision and Pattern Recognition · Computer Science 2019-08-09 Dequan Wang , Evan Shelhamer , Bruno Olshausen , Trevor Darrell

This paper introduces a generalization of Convolutional Neural Networks (CNNs) from low-dimensional grid data, such as images, to graph-structured data. We propose a novel spatial convolution utilizing a random walk to uncover the relations…

Machine Learning · Statistics 2017-04-27 Yotam Hechtlinger , Purvasha Chakravarti , Jining Qin

The topic of achieving rotational invariance in convolutional neural networks (CNNs) has gained considerable attention recently, as this invariance is crucial for many computer vision tasks such as image classification and matching. In this…

Computer Vision and Pattern Recognition · Computer Science 2023-05-25 Hanlin Mo , Guoying Zhao

We recently have witnessed many ground-breaking results in machine learning and computer vision, generated by using deep convolutional neural networks (CNN). While the success mainly stems from the large volume of training data and the deep…

Computer Vision and Pattern Recognition · Computer Science 2015-01-30 Jimmy SJ. Ren , Li Xu

The convolutional neural networks (CNNs) are not inherently shift invariant or equivariant. The downsampling operation, used in CNNs, is one of the key reasons which breaks the shift invariant property of a CNN. Conversely, downsampling…

Computer Vision and Pattern Recognition · Computer Science 2026-03-19 Jaspreet Singh , Petra Bosilj , Grzegorz Cielniak

Machine learning and data processing techniques relying on covariance information are widespread as they identify meaningful patterns in unsupervised and unlabeled settings. As a prominent example, Principal Component Analysis (PCA)…

Machine Learning · Computer Science 2025-12-04 Andrea Cavallo , Ayushman Raghuvanshi , Sundeep Prabhakar Chepuri , Elvin Isufi

Vision Transformers (ViTs) have recently dominated a range of computer vision tasks, yet it suffers from low training data efficiency and inferior local semantic representation capability without appropriate inductive bias. Convolutional…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Cong Wang , Hongmin Xu , Xiong Zhang , Li Wang , Zhitong Zheng , Haifeng Liu

In this paper we report results for recognizing colorectal NBI endoscopic images by using features extracted from convolutional neural network (CNN). In this comparative study, we extract features from different layers from different CNN…

Computer Vision and Pattern Recognition · Computer Science 2016-08-25 Toru Tamaki , Shoji Sonoyama , Tsubasa Hirakawa , Bisser Raytchev , Kazufumi Kaneda , Tetsushi Koide , Shigeto Yoshida , Hiroshi Mieno , Shinji Tanaka

Resolution in deep convolutional neural networks (CNNs) is typically bounded by the receptive field size through filter sizes, and subsampling layers or strided convolutions on feature maps. The optimal resolution may vary significantly…

Computer Vision and Pattern Recognition · Computer Science 2023-10-25 Silvia L. Pintea , Nergis Tomen , Stanley F. Goes , Marco Loog , Jan C. van Gemert

In this paper we propose integrating a priori knowledge into both design and training of convolutional neural networks (CNNs) to learn object representations that are invariant to affine transformations (i.e., translation, scale, rotation).…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Xenju Xu , Guanghui Wang , Alan Sullivan , Ziming Zhang

Metric learning has received conflicting assessments concerning its suitability for solving instance segmentation tasks. It has been dismissed as theoretically flawed due to the shift equivariance of the employed CNNs and their respective…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Josef Lorenz Rumberger , Xiaoyan Yu , Peter Hirsch , Melanie Dohmen , Vanessa Emanuela Guarino , Ashkan Mokarian , Lisa Mais , Jan Funke , Dagmar Kainmueller

With the substantial performance of neural networks in sensitive fields increases the need for interpretable deep learning models. Major challenge is to uncover the multiscale and distributed representation hidden inside the basket mappings…

Computer Vision and Pattern Recognition · Computer Science 2022-11-10 Piduguralla Manaswini , Jignesh S. Bhatt