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How can neural networks such as ResNet efficiently learn CIFAR-10 with test accuracy more than 96%, while other methods, especially kernel methods, fall relatively behind? Can we more provide theoretical justifications for this gap?…

机器学习 · 计算机科学 2020-06-02 Zeyuan Allen-Zhu , Yuanzhi Li

Feature spaces in the deep layers of convolutional neural networks (CNNs) are often very high-dimensional and difficult to interpret. However, convolutional layers consist of multiple channels that are activated by different types of…

机器学习 · 计算机科学 2021-10-25 David Bonet , Antonio Ortega , Javier Ruiz-Hidalgo , Sarath Shekkizhar

In i-theory a typical layer of a hierarchical architecture consists of HW modules pooling the dot products of the inputs to the layer with the transformations of a few templates under a group. Such layers include as special cases the…

机器学习 · 计算机科学 2015-08-06 Fabio Anselmi , Lorenzo Rosasco , Cheston Tan , Tomaso Poggio

Convolutional Neural Networks (CNNs) are a class of artificial neural networks whose computational blocks use convolution, together with other linear and non-linear operations, to perform classification or regression. This paper explores…

计算机视觉与模式识别 · 计算机科学 2018-10-09 Victor Stamatescu , Mark D. McDonnell

A residual network (or ResNet) is a standard deep neural net architecture, with state-of-the-art performance across numerous applications. The main premise of ResNets is that they allow the training of each layer to focus on fitting just…

机器学习 · 计算机科学 2018-09-28 Ohad Shamir

Most modern convolutional neural networks (CNNs) used for object recognition are built using the same principles: Alternating convolution and max-pooling layers followed by a small number of fully connected layers. We re-evaluate the state…

机器学习 · 计算机科学 2015-04-14 Jost Tobias Springenberg , Alexey Dosovitskiy , Thomas Brox , Martin Riedmiller

A basic operation in Convolutional Neural Networks (CNNs) is spatial resizing of feature maps. This is done either by strided convolution (donwscaling) or transposed convolution (upscaling). Such operations are limited to a fixed filter…

机器学习 · 计算机科学 2020-06-22 Assaf Shocher , Ben Feinstein , Niv Haim , Michal Irani

Convolutional Neural Networks (CNNs) has revolutionized computer vision, but training very deep networks has been challenging due to the vanishing gradient problem. This paper explores Residual Networks (ResNet), introduced by He et al.…

计算机视觉与模式识别 · 计算机科学 2025-10-29 Xingyu Liu , Kun Ming Goh

Inverse problems in imaging such as denoising, deblurring, superresolution (SR) have been addressed for many decades. In recent years, convolutional neural networks (CNNs) have been widely used for many inverse problem areas. Although their…

机器学习 · 计算机科学 2018-10-26 Cem Tarhan , Gozde Bozdagi Akar

We introduce a family of multilayer graph kernels and establish new links between graph convolutional neural networks and kernel methods. Our approach generalizes convolutional kernel networks to graph-structured data, by representing…

机器学习 · 统计学 2020-06-30 Dexiong Chen , Laurent Jacob , Julien Mairal

Deep Neural Networks (DNNs) have shown unparalleled achievements in numerous applications, reflecting their proficiency in managing vast data sets. Yet, their static structure limits their adaptability in ever-changing environments. This…

计算机视觉与模式识别 · 计算机科学 2023-10-03 Yunjie Zhu , Yunhao Chen

Convolutional Neural Networks are extremely efficient architectures in image and audio recognition tasks, thanks to their ability to exploit the local translational invariance of signal classes over their domain. In this paper we consider…

机器学习 · 计算机科学 2014-05-22 Joan Bruna , Wojciech Zaremba , Arthur Szlam , Yann LeCun

This work attempts to address two fundamental questions about the structure of the convolutional neural networks (CNN): 1) why a non-linear activation function is essential at the filter output of every convolutional layer? 2) what is the…

计算机视觉与模式识别 · 计算机科学 2016-11-04 C. -C. Jay Kuo

We introduce a class of convolutional neural networks (CNNs) that utilize recurrent neural networks (RNNs) as convolution filters. A convolution filter is typically implemented as a linear affine transformation followed by a non-linear…

计算与语言 · 计算机科学 2018-08-29 Yi Yang

Convolutional networks are large linear systems divided into layers and connected by non-linear units. These units are the "articulations" that allow the network to adapt to the input. To understand how a network manages to solve a problem…

计算机视觉与模式识别 · 计算机科学 2019-11-15 Pablo Navarrete Michelini , Hanwen Liu , Yunhua Lu , Xingqun Jiang

The Convolutional Neural Network (CNN) has achieved great success in image classification. The classification model can also be utilized at image or patch level for many other applications, such as object detection and segmentation. In this…

计算机视觉与模式识别 · 计算机科学 2014-12-23 Jun Yuan , Bingbing Ni , Ashraf A. Kassim

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…

计算机视觉与模式识别 · 计算机科学 2017-03-07 Edouard Oyallon

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…

机器学习 · 计算机科学 2017-10-26 Jean-Charles Vialatte , Vincent Gripon , Grégoire Mercier

Convolutional neural networks for computer vision are fairly intuitive. In a typical CNN used in image classification, the first layers learn edges, and the following layers learn some filters that can identify an object. But CNNs for…

计算与语言 · 计算机科学 2018-04-04 Prudhvi Raj Dachapally , Srikanth Ramanam

Convolutional Neural Networks (CNNs) achieve impressive performance in a wide variety of fields. Their success benefited from a massive boost when very deep CNN models were able to be reliably trained. Despite their merits, CNNs fail to…

计算机视觉与模式识别 · 计算机科学 2019-08-20 Guohao Li , Matthias Müller , Ali Thabet , Bernard Ghanem