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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

Convolutional Neural Networks (CNNs) were the driving force behind many advancements in Computer Vision research in recent years. This progress has spawned many practical applications and we see an increased need to efficiently move CNNs to…

Computer Vision and Pattern Recognition · Computer Science 2020-05-13 Thomas Kurbiel , Shahrzad Khaleghian

Convolutional Neural Network(CNN) has been widely used for image recognition with great success. However, there are a number of limitations of the current CNN based image recognition paradigm. First, the receptive field of CNN is generally…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Dong-Qing Zhang

In recent years, convolutional neural network has shown good performance in many image processing and computer vision tasks. However, a standard CNN model is not invariant to image rotations. In fact, even slight rotation of an input image…

Computer Vision and Pattern Recognition · Computer Science 2022-11-23 Hanlin Mo , Guoying Zhao

Vision Transformer (ViT) has brought new breakthroughs to the field of image classification by introducing the self-attention mechanism and Graph Convolutional Networks(GCN) have been proposed and successfully applied in data representation…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Haibin Jiao

For computer vision, Vision Transformers (ViTs) have become one of the go-to deep net architectures. Despite being inspired by Convolutional Neural Networks (CNNs), ViTs' output remains sensitive to small spatial shifts in the input, i.e.,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Renan A. Rojas-Gomez , Teck-Yian Lim , Minh N. Do , Raymond A. Yeh

Convolutions are the fundamental building block of CNNs. The fact that their weights are spatially shared is one of the main reasons for their widespread use, but it also is a major limitation, as it makes convolutions content agnostic. We…

Computer Vision and Pattern Recognition · Computer Science 2019-04-12 Hang Su , Varun Jampani , Deqing Sun , Orazio Gallo , Erik Learned-Miller , Jan Kautz

We consider Convolutional Neural Networks (CNNs) with 2D structured features that are symmetric in the spatial dimensions. Such networks arise in modeling pairwise relationships for a sequential recommendation problem, as well as secondary…

Machine Learning · Statistics 2022-03-07 Kehelwala Dewage Gayan Maduranga , Vasily Zadorozhnyy , Qiang Ye

Convolutional neural networks (CNNs) have massively impacted visual recognition in 2D images, and are now ubiquitous in state-of-the-art approaches. CNNs do not easily extend, however, to data that are not represented by regular grids, such…

Computer Vision and Pattern Recognition · Computer Science 2018-03-29 Nitika Verma , Edmond Boyer , Jakob Verbeek

Convolutional Neural Networks (CNN) has been widely applied in the realm of computer vision. However, given the fact that CNN models are translation invariant, they are not aware of the coordinate information of each pixel. Thus the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-25 Liliang Ren , Zhuonan Hao

Convolutional Neural Networks (CNNs) have become the state-of-the-art in supervised learning vision tasks. Their convolutional filters are of paramount importance for they allow to learn patterns while disregarding their locations in input…

Machine Learning · Computer Science 2017-10-26 Jean-Charles Vialatte , Vincent Gripon , Grégoire Mercier

We present a novel surface convolution operator acting on vector fields that is based on a simple observation: instead of combining neighboring features with respect to a single coordinate parameterization defined at a given point, we have…

Computer Vision and Pattern Recognition · Computer Science 2021-09-17 Thomas W. Mitchel , Vladimir G. Kim , Michael Kazhdan

Although very successfully used in conventional machine learning, convolution based neural network architectures -- believed to be inconsistent in function space -- have been largely ignored in the context of learning solution operators of…

When seeing a new object, humans can immediately recognize it across different retinal locations: the internal object representation is invariant to translation. It is commonly believed that Convolutional Neural Networks (CNNs) are…

Computer Vision and Pattern Recognition · Computer Science 2021-10-13 Valerio Biscione , Jeffrey S. Bowers

Tokens or patches within Vision Transformers (ViT) lack essential semantic information, unlike their counterparts in natural language processing (NLP). Typically, ViT tokens are associated with rectangular image patches that lack specific…

Computer Vision and Pattern Recognition · Computer Science 2024-02-29 Young Kyung Kim , J. Matías Di Martino , Guillermo Sapiro

Continuous-variables (CV) quantum optics is a natural formalism for neural networks (NNs) due to its ability to reproduce the information processing of such trainable interconnected systems. In quantum optics, Gaussian operators induce…

Quantum Physics · Physics 2026-01-15 Todor Krasimirov-Ivanov , Alba Cervera-Lierta , Paolo Stornati , Federico Centrone

We propose a generalization of convolutional neural networks (CNNs) to irregular domains, through the use of a translation operator on a graph structure. In regular settings such as images, convolutional layers are designed by translating a…

Discrete Mathematics · Computer Science 2018-11-06 Bastien Pasdeloup , Vincent Gripon , Jean-Charles Vialatte , Dominique Pastor , Pascal Frossard

Large machine learning models based on Convolutional Neural Networks (CNNs) with rapidly increasing number of parameters, trained with massive amounts of data, are being deployed in a wide array of computer vision tasks from self-driving…

Computer Vision and Pattern Recognition · Computer Science 2021-10-14 Rishab Parthasarathy , Rohan Bhowmik

Transformer design is the de facto standard for natural language processing tasks. The success of the transformer design in natural language processing has lately piqued the interest of researchers in the domain of computer vision. When…

Computer Vision and Pattern Recognition · Computer Science 2024-02-29 Md Sohag Mia , Abu Bakor Hayat Arnob , Abdu Naim , Abdullah Al Bary Voban , Md Shariful Islam

Convolutional Neural Networks (CNNs) are the current de-facto models used for many imaging tasks due to their high learning capacity as well as their architectural qualities. The ubiquitous UNet architecture provides an efficient and…

Image and Video Processing · Electrical Eng. & Systems 2020-09-30 Demetris Marnerides , Thomas Bashford-Rogers , Kurt Debattista
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