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Convolutional Neural Networks (CNNs) filter the input data using a series of spatial convolution operators with compactly supported stencils and point-wise nonlinearities. Commonly, the convolution operators couple features from all…

Numerical Analysis · Computer Science 2018-10-04 Eran Treister , Lars Ruthotto , Michal Sharoni , Sapir Zafrani , Eldad Haber

Filters in a Convolutional Neural Network (CNN) contain model parameters learned from enormous amounts of data. In this paper, we suggest to decompose convolutional filters in CNN as a truncated expansion with pre-fixed bases, namely the…

Machine Learning · Statistics 2018-07-31 Qiang Qiu , Xiuyuan Cheng , Robert Calderbank , Guillermo Sapiro

Convolution is a central operation in Convolutional Neural Networks (CNNs), which applies a kernel to overlapping regions shifted across the image. However, because of the strong correlations in real-world image data, convolutional kernels…

Increasing number of filters in deeper layers when feature maps are decreased is a widely adopted pattern in convolutional network design. It can be found in classical CNN architectures and in automatic discovered models. Even CNS methods…

Computer Vision and Pattern Recognition · Computer Science 2021-04-20 Ramon Izquierdo-Cordova , Walterio Mayol-Cuevas

The convolution operation is a central building block of neural network architectures widely used in computer vision. The size of the convolution kernels determines both the expressiveness of convolutional neural networks (CNN), as well as…

Image and Video Processing · Electrical Eng. & Systems 2022-10-10 Tianyu Ma , Adrian V. Dalca , Mert R. Sabuncu

Very deep convolutional neural networks (CNNs) yield state of the art results on a wide variety of visual recognition problems. A number of state of the the art methods for image recognition are based on networks with well over 100 layers…

Computer Vision and Pattern Recognition · Computer Science 2016-07-15 Joel Moniz , Christopher Pal

Deep neural network models have a complex architecture and are overparameterized. The number of parameters is more than the whole dataset, which is highly resource-consuming. This complicates their application and limits its usage on…

Computer Vision and Pattern Recognition · Computer Science 2024-08-15 Vasiliy Alekseev , Ilya Lukashevich , Ilia Zharikov , Ilya Vasiliev

We start out by demonstrating that an elementary learning task, corresponding to the training of a single linear neuron in a convolutional neural network, can be solved for feature spaces of very high dimensionality. In a second step,…

Computer Vision and Pattern Recognition · Computer Science 2017-07-11 Marco Loog , François Lauze

Neural networks (NNs) struggle to efficiently solve certain problems, such as learning parities, even when there are simple learning algorithms for those problems. Can NNs discover learning algorithms on their own? We exhibit a NN…

Machine Learning · Computer Science 2023-01-18 Surbhi Goel , Sham Kakade , Adam Tauman Kalai , Cyril Zhang

Many state-of-the-art computer vision algorithms use large scale convolutional neural networks (CNNs) as basic building blocks. These CNNs are known for their huge number of parameters, high redundancy in weights, and tremendous computing…

Computer Vision and Pattern Recognition · Computer Science 2018-01-24 Qiangui Huang , Kevin Zhou , Suya You , Ulrich Neumann

Deep convolutional neural networks (CNNs) are usually over-parameterized, which cannot be easily deployed on edge devices such as mobile phones and smart cameras. Existing works used to decrease the number or size of requested convolution…

Computer Vision and Pattern Recognition · Computer Science 2019-08-07 Kai Han , Yunhe Wang , Yixing Xu , Chunjing Xu , Dacheng Tao , Chang Xu

Deep neural networks are a promising approach towards multi-task learning because of their capability to leverage knowledge across domains and learn general purpose representations. Nevertheless, they can fail to live up to these promises…

Machine Learning · Computer Science 2019-12-17 Mihai Suteu , Yike Guo

The sophisticated structure of Convolutional Neural Network (CNN) allows for outstanding performance, but at the cost of intensive computation. As significant redundancies inevitably present in such a structure, many works have been…

Machine Learning · Computer Science 2019-09-13 Zhuwei Qin , Fuxun Yu , Chenchen Liu , Xiang Chen

As deep neural networks are increasingly used in applications suited for low-power devices, a fundamental dilemma becomes apparent: the trend is to grow models to absorb increasing data that gives rise to memory intensive; however low-power…

Computer Vision and Pattern Recognition · Computer Science 2023-02-21 Weiyu Guo , Jiabin Ma , Liang Wang , Yongzhen Huang

We propose a Bayesian neural network-based continual learning algorithm using Variational Inference, aiming to overcome several drawbacks of existing methods. Specifically, in continual learning scenarios, storing network parameters at each…

Machine Learning · Computer Science 2024-11-22 Sanchar Palit , Biplab Banerjee , Subhasis Chaudhuri

Various architectures (such as GoogLeNets, ResNets, and DenseNets) have been proposed. However, the existing networks usually suffer from either redundancy of convolutional layers or insufficient utilization of parameters. To handle these…

Computer Vision and Pattern Recognition · Computer Science 2020-04-27 Zhiyu Zhu , Zhen-Peng Bian , Junhui Hou , Yi Wang , Lap-Pui Chau

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

Filter banks are a popular tool for the analysis of piecewise smooth signals such as natural images. Motivated by the empirically observed properties of scale and detail coefficients of images in the wavelet domain, we propose a…

Machine Learning · Computer Science 2019-07-24 Javier Zazo , Bahareh Tolooshams , Demba Ba

Convolutional Neural Network (CNN) is one of the most important architectures in deep learning. The fundamental building block of a CNN is a trainable filter, represented as a discrete grid, used to perform convolution on discrete input…

Machine Learning · Computer Science 2023-05-26 Dario Coscia , Laura Meneghetti , Nicola Demo , Giovanni Stabile , Gianluigi Rozza

Motivated by the necessity for parameter efficiency in distributed machine learning and AI-enabled edge devices, we provide a general and easy to implement method for significantly reducing the number of parameters of Convolutional Neural…

Machine Learning · Computer Science 2019-08-13 Hamed Omidvar , Vahideh Akhlaghi , Massimo Franceschetti , Rajesh K. Gupta