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Recent progress in deep convolutional neural networks (CNNs) have enabled a simple paradigm of architecture design: larger models typically achieve better accuracy. Due to this, in modern CNN architectures, it becomes more important to…

Machine Learning · Computer Science 2019-05-14 Jongheon Jeong , Jinwoo Shin

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

Recurrent Neural Networks (RNNs) are very successful at solving challenging problems with sequential data. However, this observed efficiency is not yet entirely explained by theory. It is known that a certain class of multiplicative RNNs…

Machine Learning · Computer Science 2019-01-31 Valentin Khrulkov , Oleksii Hrinchuk , Ivan Oseledets

Rectifier neuron units (ReLUs) have been widely used in deep convolutional networks. An ReLU converts negative values to zeros, and does not change positive values, which leads to a high sparsity of neurons. In this work, we first examine…

Computer Vision and Pattern Recognition · Computer Science 2017-05-16 Shaohuai Shi , Xiaowen Chu

Convolutional neural network (CNN) delivers impressive achievements in computer vision and machine learning field. However, CNN incurs high computational complexity, especially for vision quality applications because of large image…

Image and Video Processing · Electrical Eng. & Systems 2019-08-07 Wei-Ting Wang , Han-Lin Li , Wei-Shiang Lin , Cheng-Ming Chiang , Yi-Min Tsai

Activation functions (AFs) play a pivotal role in the performance of neural networks. The Rectified Linear Unit (ReLU) is currently the most commonly used AF. Several replacements to ReLU have been suggested but improvements have proven…

Neural and Evolutionary Computing · Computer Science 2022-06-27 Raz Lapid , Moshe Sipper

While convolutional neural networks (CNNs) have recently made great strides in supervised classification of data structured on a grid (e.g. images composed of pixel grids), in several interesting datasets, the relations between features can…

Machine Learning · Computer Science 2018-11-02 Shrey Gadiya , Deepak Anand , Amit Sethi

Today, it is more important than ever before for users to have trust in the models they use. As Machine Learning models fall under increased regulatory scrutiny and begin to see more applications in high-stakes situations, it becomes…

Machine Learning · Computer Science 2020-12-03 William Knauth

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

Recent studies in image classification have demonstrated a variety of techniques for improving the performance of Convolutional Neural Networks (CNNs). However, attempts to combine existing techniques to create a practical model are still…

Computer Vision and Pattern Recognition · Computer Science 2020-03-16 Jungkyu Lee , Taeryun Won , Tae Kwan Lee , Hyemin Lee , Geonmo Gu , Kiho Hong

In today's digital age, Convolutional Neural Networks (CNNs), a subset of Deep Learning (DL), are widely used for various computer vision tasks such as image classification, object detection, and image segmentation. There are numerous types…

Machine Learning · Computer Science 2024-02-29 Abolfazl Younesi , Mohsen Ansari , MohammadAmin Fazli , Alireza Ejlali , Muhammad Shafique , Jörg Henkel

We study training of Convolutional Neural Networks (CNNs) with ReLU activations and introduce exact convex optimization formulations with a polynomial complexity with respect to the number of data samples, the number of neurons, and data…

Machine Learning · Computer Science 2021-03-19 Tolga Ergen , Mert Pilanci

Neural networks, especially convolutional neural networks (CNN), are one of the most common tools these days used in computer vision. Most of these networks work with real-valued data using real-valued features. Complex-valued convolutional…

Computer Vision and Pattern Recognition · Computer Science 2023-03-06 Soumick Chatterjee , Pavan Tummala , Oliver Speck , Andreas Nürnberger

Binarized convolutional neural networks (BCNNs) are widely used to improve memory and computation efficiency of deep convolutional neural networks (DCNNs) for mobile and AI chips based applications. However, current BCNNs are not able to…

Computer Vision and Pattern Recognition · Computer Science 2019-09-09 Chunlei Liu , Wenrui Ding , Xin Xia , Yuan Hu , Baochang Zhang , Jianzhuang Liu , Bohan Zhuang , Guodong Guo

Object recognition is an important task for improving the ability of visual systems to perform complex scene understanding. Recently, the Exponential Linear Unit (ELU) has been proposed as a key component for managing bias shift in…

Machine Learning · Computer Science 2018-01-11 Ludovic Trottier , Philippe Giguère , Brahim Chaib-draa

Depthwise convolution and grouped convolution has been successfully applied to improve the efficiency of convolutional neural network (CNN). We suggest that these models can be considered as special cases of a generalized convolution…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Dong-Qing Zhang

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…

Machine Learning · Computer Science 2018-10-26 Cem Tarhan , Gozde Bozdagi Akar

This study investigates the behavior of Causal Convolutional Neural Networks (CNNs) with quasi-linear activation functions when applied to time-series data characterized by multimodal frequency content. We demonstrate that, once trained,…

Machine Learning · Computer Science 2025-10-29 Kiran Bacsa , Wei Liu , Xudong Jian , Huangbin Liang , Eleni Chatzi

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…

Machine Learning · Computer Science 2015-04-14 Jost Tobias Springenberg , Alexey Dosovitskiy , Thomas Brox , Martin Riedmiller

Convolutional neural networks (CNNs) have shown great capability of solving various artificial intelligence tasks. However, the increasing model size has raised challenges in employing them in resource-limited applications. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2018-09-06 Hongyang Gao , Zhengyang Wang , Shuiwang Ji
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