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Modern convolutional networks are not shift-invariant, as small input shifts or translations can cause drastic changes in the output. Commonly used downsampling methods, such as max-pooling, strided-convolution, and average-pooling, ignore…

Computer Vision and Pattern Recognition · Computer Science 2019-06-11 Richard Zhang

Graph neural networks have re-defined how we model and predict on network data but there lacks a consensus on choosing the correct underlying graph structure on which to model signals. CoVariance Neural Networks (VNN) address this issue by…

Machine Learning · Computer Science 2026-03-25 Om Roy , Yashar Moshfeghi , Keith Smith

In industrial defect segmentation tasks, while pixel accuracy and Intersection over Union (IoU) are commonly employed metrics to assess segmentation performance, the output consistency (also referred to equivalence) of the model is often…

Computer Vision and Pattern Recognition · Computer Science 2023-10-02 Zhen Qu , Xian Tao , Fei Shen , Zhengtao Zhang , Tao Li

An important goal in visual recognition is to devise image representations that are invariant to particular transformations. In this paper, we address this goal with a new type of convolutional neural network (CNN) whose invariance is…

Computer Vision and Pattern Recognition · Computer Science 2015-01-08 Julien Mairal , Piotr Koniusz , Zaid Harchaoui , Cordelia Schmid

Photosensor oculography (PS-OG) eye movement sensors offer desirable performance characteristics for integration within wireless head mounted devices (HMDs), including low power consumption and high sampling rates. To address the known…

Computer Vision and Pattern Recognition · Computer Science 2019-09-13 Henry K. Griffith , Dmytro Katrychuk , Oleg V. Komogortsev

Feature extraction with convolutional neural networks (CNNs) is a popular method to represent images for machine learning tasks. These representations seek to capture global image content, and ideally should be independent of geometric…

Machine Learning · Computer Science 2022-03-03 Jake Lee , Junfeng Yang , Zhangyang Wang

Infrared and visible image fusion aims to extract complementary features to synthesize a single fused image. Many methods employ convolutional neural networks (CNNs) to extract local features due to its translation invariance and locality.…

Computer Vision and Pattern Recognition · Computer Science 2023-11-02 Jing Li , Lu Bai , Bin Yang , Chang Li , Lingfei Ma , Edwin R. Hancock

Convolutional neural networks (CNNs) have achieved remarkable success in representing and simulating complex spatio-temporal dynamic systems within the burgeoning field of scientific machine learning. However, optimal control of CNNs poses…

Optimization and Control · Mathematics 2024-10-15 Ali Vaziri , Huazhen Fang

Bayesian neural networks (BNNs) are a principled approach to modeling predictive uncertainties in deep learning, which are important in safety-critical applications. Since exact Bayesian inference over the weights in a BNN is intractable,…

Machine Learning · Statistics 2024-01-02 Tim Z. Xiao , Weiyang Liu , Robert Bamler

How can we subsample graph data so that a graph neural network (GNN) trained on the subsample achieves performance comparable to training on the full dataset? This question is of fundamental interest, as smaller datasets reduce labeling…

Machine Learning · Computer Science 2025-02-25 Mika Sarkin Jain , Stefanie Jegelka , Ishani Karmarkar , Luana Ruiz , Ellen Vitercik

This paper addresses the problem of object recognition given a set of images as input (e.g., multiple camera sources and video frames). Convolutional neural network (CNN)-based frameworks do not exploit these sets effectively, processing a…

Computer Vision and Pattern Recognition · Computer Science 2021-11-09 Lincon S. Souza , Naoya Sogi , Bernardo B. Gatto , Takumi Kobayashi , Kazuhiro Fukui

Convolutional Neural Networks (CNNs) are extremely efficient, since they exploit the inherent translation-invariance of natural images. However, translation is just one of a myriad of useful spatial transformations. Can the same efficiency…

Computer Vision and Pattern Recognition · Computer Science 2021-12-02 João F. Henriques , Andrea Vedaldi

Convolutional Neural Networks (CNN) have been successful in processing data signals that are uniformly sampled in the spatial domain (e.g., images). However, most data signals do not natively exist on a grid, and in the process of being…

Computer Vision and Pattern Recognition · Computer Science 2019-01-09 Chiyu "Max" Jiang , Dequan Wang , Jingwei Huang , Philip Marcus , Matthias Nießner

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

Spatial processes observed in various fields, such as climate and environmental science, often occur on a large scale and demonstrate spatial nonstationarity. Fitting a Gaussian process with a nonstationary Mat\'ern covariance is…

Machine Learning · Statistics 2023-06-21 Pratik Nag , Yiping Hong , Sameh Abdulah , Ghulam A. Qadir , Marc G. Genton , Ying Sun

The translational equivariant nature of Convolutional Neural Networks (CNNs) is a reason for its great success in computer vision. However, networks do not enjoy more general equivariance properties such as rotation or scaling, ultimately…

Computer Vision and Pattern Recognition · Computer Science 2023-03-02 Zikai Sun , Thierry Blu

Graph convolutional networks (GCNs) are a powerful tool for graph representation learning. Due to the recursive neighborhood aggregations employed by GCNs, efficient training methods suffer from a lack of theoretical guarantees or are…

Optimization and Control · Mathematics 2025-08-04 Molly Noel , Gabriel Mancino-Ball , Yangyang Xu

Neural architecture search has attracted wide attentions in both academia and industry. To accelerate it, researchers proposed weight-sharing methods which first train a super-network to reuse computation among different operators, from…

Machine Learning · Computer Science 2020-12-16 Xin Chen , Lingxi Xie , Jun Wu , Longhui Wei , Yuhui Xu , Qi Tian

In recent years, convolutional neural networks (CNN) have played an important role in the field of deep learning. Variants of CNN's have proven to be very successful in classification tasks across different domains. However, there are two…

Machine Learning · Statistics 2017-12-12 Edgar Xi , Selina Bing , Yang Jin

Despite the initial belief that Convolutional Neural Networks (CNNs) are driven by shapes to perform visual recognition tasks, recent evidence suggests that texture bias in CNNs provides higher performing models when learning on large…

Computer Vision and Pattern Recognition · Computer Science 2020-12-25 Reza Azad , Abdur R Fayjie , Claude Kauffman , Ismail Ben Ayed , Marco Pedersoli , Jose Dolz