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Convolutional neural networks (CNNs) work well on large datasets. But labelled data is hard to collect, and in some applications larger amounts of data are not available. The problem then is how to use CNNs with small data -- as CNNs…

Machine Learning · Statistics 2016-01-19 Yarin Gal , Zoubin Ghahramani

The state-of-the-art performance for several real-world problems is currently reached by convolutional neural networks (CNN). Such learning models exploit recent results in the field of deep learning, typically leading to highly performing,…

Machine Learning · Computer Science 2021-08-31 Giosuè Cataldo Marinò , Alessandro Petrini , Dario Malchiodi , Marco Frasca

Convolutional Neural Networks have become the standard for image classification tasks, however, these architectures are not invariant to translations of the input image. This lack of invariance is attributed to the use of stride which…

Machine Learning · Computer Science 2021-03-19 Coenraad Mouton , Johannes C. Myburgh , Marelie H. Davel

In this survey paper, we review recent uses of convolution neural networks (CNNs) to solve inverse problems in imaging. It has recently become feasible to train deep CNNs on large databases of images, and they have shown outstanding…

Image and Video Processing · Electrical Eng. & Systems 2018-09-11 Michael T. McCann , Kyong Hwan Jin , Michael Unser

The introduction of convolutional layers greatly advanced the performance of neural networks on image tasks due to innately capturing a way of encoding and learning translation-invariant operations, matching one of the underlying symmetries…

Computer Vision and Pattern Recognition · Computer Science 2016-12-15 Nicholas Guttenberg , Nathaniel Virgo , Olaf Witkowski , Hidetoshi Aoki , Ryota Kanai

Convolutional Neural Networks (CNNs) have recently led to incredible breakthroughs on a variety of pattern recognition problems. Banks of finite impulse response filters are learned on a hierarchy of layers, each contributing more abstract…

Computer Vision and Pattern Recognition · Computer Science 2017-07-18 Felipe Petroski Such , Shagan Sah , Miguel Dominguez , Suhas Pillai , Chao Zhang , Andrew Michael , Nathan Cahill , Raymond Ptucha

Shift invariance is a critical property of CNNs that improves performance on classification. However, we show that invariance to circular shifts can also lead to greater sensitivity to adversarial attacks. We first characterize the margin…

Machine Learning · Computer Science 2021-11-23 Songwei Ge , Vasu Singla , Ronen Basri , David Jacobs

In this paper, we present Automatic Complementary Separation Pruning (ACSP), a novel and fully automated pruning method for convolutional neural networks. ACSP integrates the strengths of both structured pruning and activation-based…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 David Levin , Gonen Singer

Shift equivariance is a fundamental principle that governs how we perceive the world - our recognition of an object remains invariant with respect to shifts. Transformers have gained immense popularity due to their effectiveness in both…

Computer Vision and Pattern Recognition · Computer Science 2023-06-14 Peijian Ding , Davit Soselia , Thomas Armstrong , Jiahao Su , Furong Huang

Applying convolutional neural networks to large images is computationally expensive because the amount of computation scales linearly with the number of image pixels. We present a novel recurrent neural network model that is capable of…

Machine Learning · Computer Science 2014-06-25 Volodymyr Mnih , Nicolas Heess , Alex Graves , Koray Kavukcuoglu

Deep convolutional neural networks (CNNs) have shown great potential for numerous real-world machine learning applications, but performing inference in large CNNs in real-time remains a challenge. We have previously demonstrated that…

Machine Learning · Statistics 2016-12-14 Bodo Rueckauer , Iulia-Alexandra Lungu , Yuhuang Hu , Michael Pfeiffer

Recently, the generalization behavior of Convolutional Neural Networks (CNN) is gradually transparent through explanation techniques with the frequency components decomposition. However, the importance of the phase spectrum of the image for…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Guangyao Chen , Peixi Peng , Li Ma , Jia Li , Lin Du , Yonghong Tian

Through the success of deep learning in various domains, artificial neural networks are currently among the most used artificial intelligence methods. Taking inspiration from the network properties of biological neural networks (e.g.…

Neural and Evolutionary Computing · Computer Science 2018-06-21 Decebal Constantin Mocanu , Elena Mocanu , Peter Stone , Phuong H. Nguyen , Madeleine Gibescu , Antonio Liotta

The convolutional layers of standard convolutional neural networks (CNNs) are equivariant to translation. However, the convolution and fully-connected layers are not equivariant or invariant to other affine geometric transformations.…

Computer Vision and Pattern Recognition · Computer Science 2022-09-23 Jaspreet Singh , Chandan Singh

A convolutional layer in a Convolutional Neural Network (CNN) consists of many filters which apply convolution operation to the input, capture some special patterns and pass the result to the next layer. If the same patterns also occur at…

Computer Vision and Pattern Recognition · Computer Science 2019-02-04 Okan Köpüklü , Maryam Babaee , Stefan Hörmann , Gerhard Rigoll

Even though convolutional neural networks (CNN) has achieved near-human performance in various computer vision tasks, its ability to tolerate scale variations is limited. The popular practise is making the model bigger first, and then train…

Computer Vision and Pattern Recognition · Computer Science 2014-11-25 Yichong Xu , Tianjun Xiao , Jiaxing Zhang , Kuiyuan Yang , Zheng Zhang

We propose Amortized Posterior Sampling (APS), a novel variational inference approach for efficient posterior sampling in inverse problems. Our method trains a conditional flow model to minimize the divergence between the variational…

Computer Vision and Pattern Recognition · Computer Science 2025-07-14 Abbas Mammadov , Hyungjin Chung , Jong Chul Ye

Convolutional Neural Networks (CNNs) require large image corpora to be trained on classification tasks. The variation in image resolutions, sizes of objects and patterns depicted, and image scales, hampers CNN training and performance,…

Computer Vision and Pattern Recognition · Computer Science 2016-05-16 Nanne van Noord , Eric Postma

Invariances to translations have imbued convolutional neural networks with powerful generalization properties. However, we often do not know a priori what invariances are present in the data, or to what extent a model should be invariant to…

Machine Learning · Computer Science 2020-12-02 Gregory Benton , Marc Finzi , Pavel Izmailov , Andrew Gordon Wilson

Convolutional neural networks (CNNs) trained with cross-entropy loss have proven to be extremely successful in classifying images. In recent years, much work has been done to also improve the theoretical understanding of neural networks.…

Statistics Theory · Mathematics 2024-04-30 Michael Kohler , Sophie Langer
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