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Prominently used in support vector machines and logistic regressions, kernel functions (kernels) can implicitly map data points into high dimensional spaces and make it easier to learn complex decision boundaries. In this work, by replacing…

Computation and Language · Computer Science 2019-10-29 Yingbo Gao , Christian Herold , Weiyue Wang , Hermann Ney

Convolutional Neural Networks (CNNs) are artificial learning systems typically based on two operations: convolution, which implements feature extraction through filtering, and pooling, which implements dimensionality reduction. The impact…

Machine Learning · Computer Science 2022-02-18 Dimitrios E. Diamantis , Dimitris K. Iakovidis

Joint image filters are used to transfer structural details from a guidance picture used as a prior to a target image, in tasks such as enhancing spatial resolution and suppressing noise. Previous methods based on convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Beomjun Kim , Jean Ponce , Bumsub Ham

By redefining the conventional notions of layers, we present an alternative view on finitely wide, fully trainable deep neural networks as stacked linear models in feature spaces, leading to a kernel machine interpretation. Based on this…

Machine Learning · Statistics 2020-12-02 Shiyu Duan , Shujian Yu , Jose Principe

Convolutional neural network (CNN) has achieved impressive success in computer vision during the past few decades. The image convolution operation helps CNNs to get good performance on image-related tasks. However, the image convolution has…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Hengyue Pan , Yixin Chen , Xin Niu , Wenbo Zhou , Dongsheng Li

Symmetry is present in nature and science. In image processing, kernels for spatial filtering possess some symmetry (e.g. Sobel operators, Gaussian, Laplacian). Convolutional layers in artificial feed-forward neural networks have typically…

Computer Vision and Pattern Recognition · Computer Science 2019-06-12 Gregory Dzhezyan , Hubert Cecotti

Recently, convolutional neural networks (CNNs) have been used as a powerful tool to solve many problems of machine learning and computer vision. In this paper, we aim to provide insight on the property of convolutional neural networks, as…

Machine Learning · Computer Science 2016-07-20 Wenling Shang , Kihyuk Sohn , Diogo Almeida , Honglak Lee

Although the convolutional neural networks (CNNs) have become popular for various image processing and computer vision task recently, it remains a challenging problem to reduce the storage cost of the parameters for resource-limited…

Machine Learning · Computer Science 2018-11-01 Chao Li , Zhun Sun , Jinshi Yu , Ming Hou , Qibin Zhao

In this work, we build a generic architecture of Convolutional Neural Networks to discover empirical properties of neural networks. Our first contribution is to introduce a state-of-the-art framework that depends upon few hyper parameters…

Computer Vision and Pattern Recognition · Computer Science 2017-03-07 Edouard Oyallon

Convolutional Neural Networks (CNNs) are well established models capable of achieving state-of-the-art classification accuracy for various computer vision tasks. However, they are becoming increasingly larger, using millions of parameters,…

Computer Vision and Pattern Recognition · Computer Science 2017-07-27 Nikolaos Passalis , Anastasios Tefas

Recent efforts have shown machine learning to be useful for the prediction of nonlinear fluid dynamics. Predictive accuracy is often a central motivation for employing neural networks, but the pattern recognition central to the network…

Fluid Dynamics · Physics 2022-08-23 Shizheng Wen , Michael W. Lee , Kai M. Kruger Bastos , Earl H. Dowell

Empirical observation of high dimensional phenomena, such as the double descent behaviour, has attracted a lot of interest in understanding classical techniques such as kernel methods, and their implications to explain generalization…

Normalization is an important but understudied challenge in privacy-related application domains such as federated learning (FL), differential privacy (DP), and differentially private federated learning (DP-FL). While the unsuitability of…

Machine Learning · Computer Science 2023-06-05 Reza Nasirigerdeh , Javad Torkzadehmahani , Daniel Rueckert , Georgios Kaissis

Despite their increasing popularity and success in a variety of supervised learning problems, deep neural networks are extremely hard to interpret and debug: Given and already trained Deep Neural Net, and a set of test inputs, how can we…

Machine Learning · Computer Science 2018-06-07 Uday Singh Saini , Evangelos E. Papalexakis

Unlike images which are represented in regular dense grids, 3D point clouds are irregular and unordered, hence applying convolution on them can be difficult. In this paper, we extend the dynamic filter to a new convolution operation, named…

Computer Vision and Pattern Recognition · Computer Science 2020-11-11 Wenxuan Wu , Zhongang Qi , Li Fuxin

The task of labeling data for training deep neural networks is daunting and tedious, requiring millions of labels to achieve the current state-of-the-art results. Such reliance on large amounts of labeled data can be relaxed by exploiting…

Machine Learning · Computer Science 2016-02-17 Aysegul Dundar , Jonghoon Jin , Eugenio Culurciello

Convolutional neural networks are becoming standard tools for solving object recognition and visual tasks. However, most of the design and implementation of these complex models are based on trail-and-error. In this report, the main focus…

Computer Vision and Pattern Recognition · Computer Science 2015-09-15 Soroush Mehri

Following the traditional paradigm of convolutional neural networks (CNNs), modern CNNs manage to keep pace with more recent, for example transformer-based, models by not only increasing model depth and width but also the kernel size. This…

Computer Vision and Pattern Recognition · Computer Science 2023-06-23 Paul Gavrikov , Janis Keuper

Depth prediction plays a key role in understanding a 3D scene. Several techniques have been developed throughout the years, among which Convolutional Neural Network has recently achieved state-of-the-art performance on estimating depth from…

Computer Vision and Pattern Recognition · Computer Science 2021-03-16 Binghan Li , Yindong Hua , Yifeng Liu , Mi Lu

Complex-valued neural networks (CVNNs) have been shown to be powerful nonlinear approximators when the input data can be properly modeled in the complex domain. One of the major challenges in scaling up CVNNs in practice is the design of…

Neural and Evolutionary Computing · Computer Science 2019-02-07 Simone Scardapane , Steven Van Vaerenbergh , Danilo Comminiello , Aurelio Uncini