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This article deals with approximating steady-state particle-resolved fluid flow around a fixed particle of interest under the influence of randomly distributed stationary particles in a dispersed multiphase setup using Convolutional Neural…

Fluid Dynamics · Physics 2021-10-25 Bhargav Sriram Siddani , S. Balachandar , Ruogu Fang

We introduce tensor field neural networks, which are locally equivariant to 3D rotations, translations, and permutations of points at every layer. 3D rotation equivariance removes the need for data augmentation to identify features in…

Machine Learning · Computer Science 2018-05-22 Nathaniel Thomas , Tess Smidt , Steven Kearnes , Lusann Yang , Li Li , Kai Kohlhoff , Patrick Riley

Convolutional Neural Networks (CNN) have emerged as powerful tools for learning discriminative image features. In this paper, we propose a framework of 3-D fully CNN models for Glioblastoma segmentation from multi-modality MRI data. By…

Computer Vision and Pattern Recognition · Computer Science 2016-11-15 Darvin Yi , Mu Zhou , Zhao Chen , Olivier Gevaert

Invariance to spatial transformations such as translations and rotations is a desirable property and a basic design principle for classification neural networks. However, the commonly used convolutional neural networks (CNNs) are actually…

Machine Learning · Computer Science 2023-06-30 Yihan Wang , Lijia Yu , Xiao-Shan Gao

Omnidirectional images and spherical representations of $3D$ shapes cannot be processed with conventional 2D convolutional neural networks (CNNs) as the unwrapping leads to large distortion. Using fast implementations of spherical and…

Computer Vision and Pattern Recognition · Computer Science 2020-12-09 Suhas Lohit , Shubhendu Trivedi

This work investigates use of equivariant neural networks as efficient and high-performance frameworks for image reconstruction and denoising in nuclear medicine. Our work aims to tackle limitations of conventional Convolutional Neural…

Image and Video Processing · Electrical Eng. & Systems 2025-02-03 Amirreza Hashemi , Yuemeng Feng , Arman Rahmim , Hamid Sabet

In recent years the use of convolutional layers to encode an inductive bias (translational equivariance) in neural networks has proven to be a very fruitful idea. The successes of this approach have motivated a line of research into…

Rotation equivariance is a desirable property in many practical applications such as motion forecasting and 3D perception, where it can offer benefits like sample efficiency, better generalization, and robustness to input perturbations.…

Computer Vision and Pattern Recognition · Computer Science 2023-01-26 Serge Assaad , Carlton Downey , Rami Al-Rfou , Nigamaa Nayakanti , Ben Sapp

Deep Convolutional Neural Networks (CNNs) are empirically known to be invariant to moderate translation but not to rotation in image classification. This paper proposes a deep CNN model, called CyCNN, which exploits polar mapping of input…

Computer Vision and Pattern Recognition · Computer Science 2020-07-23 Jinpyo Kim , Wooekun Jung , Hyungmo Kim , Jaejin Lee

Several popular approaches to 3D vision tasks process multiple views of the input independently with deep neural networks pre-trained on natural images, achieving view permutation invariance through a single round of pooling over all views.…

Computer Vision and Pattern Recognition · Computer Science 2019-10-29 Carlos Esteves , Yinshuang Xu , Christine Allen-Blanchette , Kostas Daniilidis

In today's digital age, Convolutional Neural Networks (CNNs), a subset of Deep Learning (DL), are widely used for various computer vision tasks such as image classification, object detection, and image segmentation. There are numerous types…

Machine Learning · Computer Science 2024-02-29 Abolfazl Younesi , Mohsen Ansari , MohammadAmin Fazli , Alireza Ejlali , Muhammad Shafique , Jörg Henkel

Wavelet scattering networks, which are convolutional neural networks (CNNs) with fixed filters and weights, are promising tools for image analysis. Imposing symmetry on image statistics can improve human interpretability, aid in…

Computer Vision and Pattern Recognition · Computer Science 2021-04-26 Andrew K. Saydjari , Douglas P. Finkbeiner

Recent experiments in computer vision demonstrate texture bias as the primary reason for supreme results in models employing Convolutional Neural Networks (CNNs), conflicting with early works claiming that these networks identify objects…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Satyam Mohla , Anshul Nasery , Biplab Banerjee

Encoding the scale information explicitly into the representation learned by a convolutional neural network (CNN) is beneficial for many computer vision tasks especially when dealing with multiscale inputs. We study, in this paper, a…

Machine Learning · Computer Science 2022-02-08 Wei Zhu , Qiang Qiu , Robert Calderbank , Guillermo Sapiro , Xiuyuan Cheng

Classification of EEG signals using shallow Convolutional Neural Networks (CNNs) is a prevalent and successful approach across a variety of fields. Most of these models use independent one-dimensional (1D) convolutional layers along the…

Machine Learning · Computer Science 2026-05-06 Laurits Dixen , Stefan Heinrich , Paolo Burelli

Convolutional neural networks have been extremely successful in the image recognition domain because they ensure equivariance to translations. There have been many recent attempts to generalize this framework to other domains, including…

Machine Learning · Statistics 2018-11-13 Risi Kondor , Shubhendu Trivedi

A number of recent approaches have used deep convolutional neural networks (CNNs) to build texture representations. Nevertheless, it is still unclear how these models represent texture and invariances to categorical variations. This work…

Computer Vision and Pattern Recognition · Computer Science 2016-04-13 Tsung-Yu Lin , Subhransu Maji

In many computer vision tasks, we expect a particular behavior of the output with respect to rotations of the input image. If this relationship is explicitly encoded, instead of treated as any other variation, the complexity of the problem…

Computer Vision and Pattern Recognition · Computer Science 2018-07-06 Diego Marcos , Michele Volpi , Nikos Komodakis , Devis Tuia

Filter-decomposition-based group equivariant convolutional neural networks (CNNs) have shown promising stability and data efficiency for 3D image feature extraction. However, these networks, which rely on parameter sharing and discrete…

Computer Vision and Pattern Recognition · Computer Science 2026-01-08 Wenzhao Zhao , Steffen Albert , Barbara D. Wichtmann , Angelika Maurer , Ulrike Attenberger , Frank G. Zöllner , Jürgen Hesser

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