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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

State-of-the-art algorithms are reported to be almost perfect at distinguishing the vibrations arising from healthy and damaged machine bearings, according to benchmark datasets at least. However, what about their application to new data?…

Machine Learning · Computer Science 2025-05-19 Dan Hudson , Jurgen van den Hoogen , Martin Atzmueller

The convolutional neural network (CNN) is one of the most commonly used architectures for computer vision tasks. The key building block of a CNN is the convolutional kernel that aggregates information from the pixel neighborhood and shares…

Image and Video Processing · Electrical Eng. & Systems 2022-02-08 Tianyu Ma , Alan Q. Wang , Adrian V. Dalca , Mert R. Sabuncu

Recent work has indicated that, unlike humans, ImageNet-trained CNNs tend to classify images by texture rather than by shape. How pervasive is this bias, and where does it come from? We find that, when trained on datasets of images with…

Computer Vision and Pattern Recognition · Computer Science 2020-11-05 Katherine L. Hermann , Ting Chen , Simon Kornblith

Feature learning in neural networks is crucial for their expressive power and inductive biases, motivating various theoretical approaches. Some approaches describe network behavior after training through a change in kernel scale from…

Disordered Systems and Neural Networks · Physics 2025-05-29 Noa Rubin , Kirsten Fischer , Javed Lindner , David Dahmen , Inbar Seroussi , Zohar Ringel , Michael Krämer , Moritz Helias

Understanding how convolutional neural networks (CNNs) can efficiently learn high-dimensional functions remains a fundamental challenge. A popular belief is that these models harness the local and hierarchical structure of natural data such…

Machine Learning · Statistics 2023-06-02 Francesco Cagnetta , Alessandro Favero , Matthieu Wyart

Large kernels make standard convolutional neural networks (CNNs) great again over transformer architectures in various vision tasks. Nonetheless, recent studies meticulously designed around increasing kernel size have shown diminishing…

Computer Vision and Pattern Recognition · Computer Science 2025-03-14 Dachong Li , Li Li , Zhuangzhuang Chen , Jianqiang Li

Fully convolutional neural networks can process input of arbitrary size by applying a combination of downsampling and pooling. However, we find that fully convolutional image classifiers are not agnostic to the input size but rather show…

Machine Learning · Computer Science 2021-10-13 Mats L. Richter , Wolf Byttner , Ulf Krumnack , Ludwdig Schallner , Justin Shenk

Convolutional Neural Networks (CNN) have been pivotal to the success of many state-of-the-art classification problems, in a wide variety of domains (for e.g. vision, speech, graphs and medical imaging). A commonality within those domains is…

Machine Learning · Computer Science 2019-12-02 Rohan Ghosh , Anupam K. Gupta , Mehul Motani

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

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

It is known that humans display "shape bias" when classifying new items, i.e., they prefer to categorize objects based on their shape rather than color. Convolutional Neural Networks (CNNs) are also designed to take into account the spatial…

Computer Vision and Pattern Recognition · Computer Science 2018-03-22 Hossein Hosseini , Baicen Xiao , Mayoore Jaiswal , Radha Poovendran

Convolutional layers in CNNs implement linear filters which decompose the input into different frequency bands. However, most modern architectures neglect standard principles of filter design when optimizing their model choices regarding…

Computer Vision and Pattern Recognition · Computer Science 2021-07-30 Nergis Tomen , Jan van Gemert

Feature learning, or the ability of deep neural networks to automatically learn relevant features from raw data, underlies their exceptional capability to solve complex tasks. However, feature learning seems to be realized in different ways…

Machine Learning · Computer Science 2023-07-25 R. Aiudi , R. Pacelli , A. Vezzani , R. Burioni , P. Rotondo

A number of machine learning tasks entail a high degree of invariance: the data distribution does not change if we act on the data with a certain group of transformations. For instance, labels of images are invariant under translations of…

Machine Learning · Statistics 2021-03-01 Song Mei , Theodor Misiakiewicz , Andrea Montanari

Understanding how feature learning affects generalization is among the foremost goals of modern deep learning theory. Here, we study how the ability to learn representations affects the generalization performance of a simple class of…

Machine Learning · Computer Science 2022-06-17 Jacob A. Zavatone-Veth , William L. Tong , Cengiz Pehlevan

Despite the effectiveness of Convolutional Neural Networks (CNNs) for image classification, our understanding of the relationship between shape of convolution kernels and learned representations is limited. In this work, we explore and…

Computer Vision and Pattern Recognition · Computer Science 2016-11-30 Zhun Sun , Mete Ozay , Takayuki Okatani

Generalization beyond a training dataset is a main goal of machine learning, but theoretical understanding of generalization remains an open problem for many models. The need for a new theory is exacerbated by recent observations in deep…

Machine Learning · Statistics 2022-02-08 Abdulkadir Canatar , Blake Bordelon , Cengiz Pehlevan

When designing Convolutional Neural Networks (CNNs), one must select the size\break of the convolutional kernels before training. Recent works show CNNs benefit from different kernel sizes at different layers, but exploring all possible…

Computer Vision and Pattern Recognition · Computer Science 2022-03-18 David W. Romero , Robert-Jan Bruintjes , Jakub M. Tomczak , Erik J. Bekkers , Mark Hoogendoorn , Jan C. van Gemert

Convolutional neural networks (CNNs) are able to attain better visual recognition performance than fully connected neural networks despite having much fewer parameters due to their parameter sharing principle. Modern architectures usually…

Computer Vision and Pattern Recognition · Computer Science 2022-10-20 Ilke Cugu , Emre Akbas
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