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The square kernel is a standard unit for contemporary CNNs, as it fits well on the tensor computation for convolution operation. However, the retinal ganglion cells in the biological visual system have approximately concentric receptive…

Computer Vision and Pattern Recognition · Computer Science 2022-04-19 Kun He , Chao Li , Yixiao Yang , Gao Huang , John E. Hopcroft

Convolutional neural networks are state-of-the-art for various segmentation tasks. While for 2D images these networks are also computationally efficient, 3D convolutions have huge storage requirements and therefore, end-to-end training is…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Christoph Angermann , Markus Haltmeier

We describe a novel method for the application of Convolutional Neural Networks (CNNs) to fields defined on the sphere, using the HEALPix tessellation scheme. Specifically, We have developed a pixel-based approach to implement convolutional…

Instrumentation and Methods for Astrophysics · Physics 2019-08-21 Nicoletta Krachmalnicoff , Maurizio Tomasi

Learning equivariant representations is a promising way to reduce sample and model complexity and improve the generalization performance of deep neural networks. The spherical CNNs are successful examples, producing SO(3)-equivariant…

Computer Vision and Pattern Recognition · Computer Science 2020-10-27 Carlos Esteves , Ameesh Makadia , Kostas Daniilidis

Convolutional neural networks (CNNs) have rapidly risen in popularity for many machine learning applications, particularly in the field of image recognition. Much of the benefit generated from these networks comes from their ability to…

Quantum Physics · Physics 2019-04-10 Maxwell Henderson , Samriddhi Shakya , Shashindra Pradhan , Tristan Cook

This paper presents the first classical Convolutional Neural Network (CNN) that can be applied directly to data from unstructured finite element meshes or control volume grids. CNNs have been hugely influential in the areas of image…

Numerical Analysis · Mathematics 2025-02-13 Claire E. Heaney , Yuling Li , Omar K. Matar , Christopher C. Pain

Deep convolutional neural networks achieve remarkable visual recognition performance, at the cost of high computational complexity. In this paper, we have a new design of efficient convolutional layers based on three schemes. The 3D…

Computer Vision and Pattern Recognition · Computer Science 2017-01-25 Min Wang , Baoyuan Liu , Hassan Foroosh

Convolutional neural networks (CNNs) allow for parameter sharing and translational equivariance by using convolutional kernels in their linear layers. By restricting these kernels to be SO(3)-steerable, CNNs can further improve parameter…

Image and Video Processing · Electrical Eng. & Systems 2024-05-20 Ivan Diaz , Mario Geiger , Richard Iain McKinley

The convolution operation is a central building block of neural network architectures widely used in computer vision. The size of the convolution kernels determines both the expressiveness of convolutional neural networks (CNN), as well as…

Image and Video Processing · Electrical Eng. & Systems 2022-10-10 Tianyu Ma , Adrian V. Dalca , Mert R. Sabuncu

Fully convolutional neural networks like U-Net have been the state-of-the-art methods in medical image segmentation. Practically, a network is highly specialized and trained separately for each segmentation task. Instead of a collection of…

Image and Video Processing · Electrical Eng. & Systems 2019-09-16 Chao Huang , Hu Han , Qingsong Yao , Shankuan Zhu , S. Kevin Zhou

Deep learning has achieved a remarkable performance breakthrough in several fields, most notably in speech recognition, natural language processing, and computer vision. In particular, convolutional neural network (CNN) architectures…

Computer Vision and Pattern Recognition · Computer Science 2016-12-08 Federico Monti , Davide Boscaini , Jonathan Masci , Emanuele Rodolà , Jan Svoboda , Michael M. Bronstein

Various convolutional neural networks (CNNs) were developed recently that achieved accuracy comparable with that of human beings in computer vision tasks such as image recognition, object detection and tracking, etc. Most of these networks,…

Computer Vision and Pattern Recognition · Computer Science 2019-03-20 Tianchen Wang , Jinjun Xiong , Xiaowei Xu , Yiyu Shi

In the present study, the capabilities of a new Convolutional Neural Network (CNN) model are explored with the paramount objective of reconstructing the temperature field of wall-bounded flows based on a limited set of measurement points…

Fluid Dynamics · Physics 2022-02-02 Victor Coppo Leite , Elia Merzari , Roberto Ponciroli , Lander Ibarra

Convolutional Neural Networks (CNNs) have been widely applied. But as the CNNs grow, the number of arithmetic operations and memory footprint also increase. Furthermore, typical non-linear activation functions do not allow associativity of…

Machine Learning · Computer Science 2021-11-10 Eduardo Vera Sousa , Leandro A. F. Fernandes , Cristina Nader Vasconcelos

Emerging from low-level vision theory, steerable filters found their counterpart in prior work on steerable convolutional neural networks equivariant to rigid transformations. In our work, we propose a steerable feed-forward learning-based…

Computer Vision and Pattern Recognition · Computer Science 2022-08-12 Pavlo Melnyk , Michael Felsberg , Mårten Wadenbäck

Object segmentation and structure localization are important steps in automated image analysis pipelines for microscopy images. We present a convolution neural network (CNN) based deep learning architecture for segmentation of objects in…

Computer Vision and Pattern Recognition · Computer Science 2019-01-24 Shan E Ahmed Raza , Linda Cheung , Muhammad Shaban , Simon Graham , David Epstein , Stella Pelengaris , Michael Khan , Nasir M. Rajpoot

We have developed a convolutional neural network (CNN) to reconstruct the shape of irregular rough particles from their interferometric images. The CNN is based on a UNET architecture with residual block modules. The database has been…

Computer Vision and Pattern Recognition · Computer Science 2024-08-08 Alexis Abad , Alexandre Poux , Alexis Boulet , Marc Brunel

Convolutional Neural Networks (CNNs) have become the method of choice for learning problems involving 2D planar images. However, a number of problems of recent interest have created a demand for models that can analyze spherical images.…

Machine Learning · Computer Science 2019-04-23 Taco S. Cohen , Mario Geiger , Jonas Koehler , Max Welling

Medical image segmentation has been so far achieving promising results with Convolutional Neural Networks (CNNs). However, it is arguable that in traditional CNNs, its pooling layer tends to discard important information such as positions.…

Image and Video Processing · Electrical Eng. & Systems 2022-04-12 Tan Nguyen , Binh-Son Hua , Ngan Le

Brain surface analysis is essential to neuroscience, however, the complex geometry of the brain cortex hinders computational methods for this task. The difficulty arises from a discrepancy between 3D imaging data, which is represented in…

Computer Vision and Pattern Recognition · Computer Science 2019-11-25 Karthik Gopinath , Christian Desrosiers , Herve Lombaert