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Verifying robustness of neural network classifiers has attracted great interests and attention due to the success of deep neural networks and their unexpected vulnerability to adversarial perturbations. Although finding minimum adversarial…

Machine Learning · Statistics 2018-11-30 Akhilan Boopathy , Tsui-Wei Weng , Pin-Yu Chen , Sijia Liu , Luca Daniel

Previous research has shown that fully-connected networks with small initialization and gradient-based training methods exhibit a phenomenon known as condensation during training. This phenomenon refers to the input weights of hidden…

Machine Learning · Computer Science 2023-05-18 Zhangchen Zhou , Hanxu Zhou , Yuqing Li , Zhi-Qin John Xu

In recent times, using small data to train networks has become a hot topic in the field of deep learning. Reusing pre-trained parameters is one of the most important strategies to address the issue of semi-supervised and transfer learning.…

Image and Video Processing · Electrical Eng. & Systems 2020-09-21 Wei Wang , Lin Cheng , Yanjie Zhu , Dong Liang

The purpose of this short and simple note is to clarify a common misconception about convolutional neural networks (CNNs). CNNs are made up of convolutional layers which are shift equivariant due to weight sharing. However, convolutional…

Computer Vision and Pattern Recognition · Computer Science 2023-12-08 Nick McGreivy , Ammar Hakim

Training deep Convolutional Neural Networks (CNN) is a time consuming task that may take weeks to complete. In this article we propose a novel, theoretically founded method for reducing CNN training time without incurring any loss in…

Computer Vision and Pattern Recognition · Computer Science 2016-10-13 Pedro Porto Buarque de Gusmão , Gianluca Francini , Skjalg Lepsøy , Enrico Magli

Convolutional Neural Network (CNN) is one of the most significant networks in the deep learning field. Since CNN made impressive achievements in many areas, including but not limited to computer vision and natural language processing, it…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Zewen Li , Wenjie Yang , Shouheng Peng , Fan Liu

In this paper we review the mathematical foundations of convolutional neural nets (CNNs) with the goals of: i) highlighting connections with techniques from statistics, signal processing, linear algebra, differential equations, and…

Machine Learning · Computer Science 2021-07-08 Shengli Jiang , Victor M. Zavala

Convolutional Neural Networks (CNN) increase depth by stacking convolutional layers, and deeper network models perform better in image recognition. Empirical research shows that simply stacking convolutional layers does not make the network…

Computer Vision and Pattern Recognition · Computer Science 2022-11-16 Rui-Yang Ju , Jen-Shiun Chiang , Chih-Chia Chen , Yu-Shian Lin

In recent years, state-of-the-art methods in computer vision have utilized increasingly deep convolutional neural network architectures (CNNs), with some of the most successful models employing hundreds or even thousands of layers. A…

Machine Learning · Statistics 2018-07-11 Lechao Xiao , Yasaman Bahri , Jascha Sohl-Dickstein , Samuel S. Schoenholz , Jeffrey Pennington

Robustness of convolutional neural networks (CNNs) has gained in importance on account of adversarial examples, i.e., inputs added as well-designed perturbations that are imperceptible to humans but can cause the model to predict…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Tiange Luo , Tianle Cai , Mengxiao Zhang , Siyu Chen , Di He , Liwei Wang

PCANet and its variants provided good accuracy results for classification tasks. However, despite the importance of network depth in achieving good classification accuracy, these networks were trained with a maximum of nine layers. In this…

Computer Vision and Pattern Recognition · Computer Science 2023-01-30 Mubarakah Alotaibi , Richard Wilson

Regularization in convolutional neural networks (CNNs) is usually addressed with dropout layers. However, dropout is sometimes detrimental in the convolutional part of a CNN as it simply sets to zero a percentage of pixels in the feature…

Image and Video Processing · Electrical Eng. & Systems 2021-08-29 Juan P. Vigueras-Guillén , Joan Lasenby , Frank Seeliger

Convolutional neural networks (CNNs) give state of the art performance in many pattern recognition problems but can be fooled by carefully crafted patterns of noise. We report that CNN face recognition systems also make surprising "errors".…

Computer Vision and Pattern Recognition · Computer Science 2020-06-24 P. J. B. Hancock , R. S. Somai , V. R. Mileva

Typical convolutional neural networks (CNNs) have several millions of parameters and require a large amount of annotated data to train them. In medical applications where training data is hard to come by, these sophisticated machine…

Computer Vision and Pattern Recognition · Computer Science 2016-12-09 Rahul Venkataramani , Sheshadri Thiruvenkadam , Prasad Sudhakar , Hariharan Ravishankar , Vivek Vaidya

Understanding deep neural networks is a major research objective with notable experimental and theoretical attention in recent years. The practical success of excessively large networks underscores the need for better theoretical analyses…

Machine Learning · Statistics 2022-03-10 Chiyuan Zhang , Samy Bengio , Yoram Singer

Normalization techniques have become a basic component in modern convolutional neural networks (ConvNets). In particular, many recent works demonstrate that promoting the orthogonality of the weights helps train deep models and improve…

Computer Vision and Pattern Recognition · Computer Science 2022-01-05 Sheng Liu , Xiao Li , Yuexiang Zhai , Chong You , Zhihui Zhu , Carlos Fernandez-Granda , Qing Qu

In this technical report, we investigate extending convolutional neural networks to the setting where functions are not sampled in a grid pattern. We show that by treating the samples as the average of a function within a cell, we can find…

Computer Vision and Pattern Recognition · Computer Science 2020-10-23 Soroosh Yazdani , Andrea Tagliasacchi

We propose a novel formulation of deep networks that do not use dot-product neurons and rely on a hierarchy of voting tables instead, denoted as Convolutional Tables (CT), to enable accelerated CPU-based inference. Convolutional layers are…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Shay Dekel , Yosi Keller , Aharon Bar-Hillel

Despite several algorithmic advances in the training of convolutional neural networks (CNNs) over the years, their generalization capabilities are still subpar across several pertinent domains, particularly within open-set tasks often found…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Colton R. Crum , Adam Czajka

Convolutional Neural Networks (CNNs) are the state-of-the-art algorithms for the processing of images. However the configuration and training of these networks is a complex task requiring deep domain knowledge, experience and much trial and…

Computer Vision and Pattern Recognition · Computer Science 2021-02-11 Yaron Strauch , Jo Grundy