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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

Breast cancer is the most common cancer in women. Classification of cancer/non-cancer patients with clinical records requires high sensitivity and specificity for an acceptable diagnosis test. The state-of-the-art classification model -…

Computer Vision and Pattern Recognition · Computer Science 2024-02-12 Anuraganand Sharma , Dinesh Kumar

Conventional Convolutional neural networks (CNN) are trained on large domain datasets and are hence typically over-represented and inefficient in limited class applications. An efficient way to convert such large many-class pre-trained…

Computer Vision and Pattern Recognition · Computer Science 2020-08-06 K. Sai Ram , Jayanta Mukherjee , Amit Patra , Partha Pratim Das

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

In parallel with the success of CNNs to solve vision problems, there is a growing interest in developing methodologies to understand and visualize the internal representations of these networks. How the responses of a trained CNN encode the…

Computer Vision and Pattern Recognition · Computer Science 2015-11-18 Ivet Rafegas , Maria Vanrell

Deep Convolutional Neural Networks (CNNs) have been widely used in various domains due to their impressive capabilities. These models are typically composed of a large number of 2D convolutional (Conv2D) layers with numerous trainable…

Machine Learning · Computer Science 2022-02-01 Yinan Yu , Samuel Scheidegger , Tomas McKelvey

Convolutional Neural Network (CNN)-based machine learning systems have made breakthroughs in feature extraction and image recognition tasks in two dimensions (2D). Although there is significant ongoing work to apply CNN technology to…

Computer Vision and Pattern Recognition · Computer Science 2018-02-26 Thomas Corcoran , Rafael Zamora-Resendiz , Xinlian Liu , Silvia Crivelli

Recently, convolutional neural networks (CNNs) have achieved excellent performances in many computer vision tasks. Specifically, for hyperspectral images (HSIs) classification, CNNs often require very complex structure due to the high…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Haitao Zhang , Lingguo Meng , Xian Wei , Xiaoliang Tang , Xuan Tang , Xingping Wang , Bo Jin , Wei Yao

Very deep convolutional neural networks (CNNs) have been firmly established as the primary methods for many computer vision tasks. However, most state-of-the-art CNNs are large, which results in high inference latency. Recently, depth-wise…

Computer Vision and Pattern Recognition · Computer Science 2025-01-07 Yihui He , Jianing Qian , Jianren Wang , Cindy X. Le , Congrui Hetang , Qi Lyu , Wenping Wang , Tianwei Yue

Various convolutional neural networks (CNNs) were developed recently that achieved accuracy comparable with that of human beings in computer vision tasks such as image recognition, object detection and tracking, etc. Most of these networks,…

Computer Vision and Pattern Recognition · Computer Science 2019-03-20 Tianchen Wang , Jinjun Xiong , Xiaowei Xu , Yiyu Shi

Two dimensional (2D) peak finding is a common practice in data analysis for physics experiments, which is typically achieved by computing the local derivatives. However, this method is inherently unstable when the local landscape is…

Data Analysis, Statistics and Probability · Physics 2020-04-22 Han Peng , Xiang Gao , Yu He , Yiwei Li , Yuchen Ji , Chuhang Liu , Sandy A. Ekahana , Ding Pei , Zhongkai Liu , Zhixun Shen , Yulin Chen

Machine and deep learning algorithms have increasingly been applied to solve problems in various areas of knowledge. Among these areas, Chemometrics has been benefited from the application of these algorithms in spectral data analysis.…

Neural and Evolutionary Computing · Computer Science 2023-01-26 Breno Aguiar Krohling , Renato A Krohling

Deep Convolutional Neural Networks (CNNs) have significantly advanced deep learning, driving breakthroughs in computer vision, natural language processing, medical diagnosis, object detection, and speech recognition. Architectural…

Computer Vision and Pattern Recognition · Computer Science 2025-03-24 Saddam Hussain Khan , Rashid Iqbal

Convolution is one of the basic building blocks of CNN architectures. Despite its common use, standard convolution has two main shortcomings: Content-agnostic and Computation-heavy. Dynamic filters are content-adaptive, while further…

Computer Vision and Pattern Recognition · Computer Science 2021-04-30 Jingkai Zhou , Varun Jampani , Zhixiong Pi , Qiong Liu , Ming-Hsuan Yang

We introduce a novel weighted convolution operator that enhances traditional convolutional neural networks (CNNs) by integrating a spatial density function into the convolution operator. This extension enables the network to differentially…

Computer Vision and Pattern Recognition · Computer Science 2025-06-02 Simone Cammarasana , Giuseppe Patanè

A unified deep neural network, denoted the multi-scale CNN (MS-CNN), is proposed for fast multi-scale object detection. The MS-CNN consists of a proposal sub-network and a detection sub-network. In the proposal sub-network, detection is…

Computer Vision and Pattern Recognition · Computer Science 2016-07-26 Zhaowei Cai , Quanfu Fan , Rogerio S. Feris , Nuno Vasconcelos

Nowadays, deep learning can be employed to a wide ranges of fields including medicine, engineering, etc. In deep learning, Convolutional Neural Network (CNN) is extensively used in the pattern and sequence recognition, video analysis,…

Computer Vision and Pattern Recognition · Computer Science 2019-02-06 Rezoana Bente Arif , Md. Abu Bakr Siddique , Mohammad Mahmudur Rahman Khan , Mahjabin Rahman Oishe

In this paper, we propose a convolutional neural network(CNN) with 3-D rank-1 filters which are composed by the outer product of 1-D filters. After being trained, the 3-D rank-1 filters can be decomposed into 1-D filters in the test time…

Computer Vision and Pattern Recognition · Computer Science 2018-08-14 Hyein Kim , Jungho Yoon , Byeongseon Jeong , Sukho Lee

The deep Convolutional Neural Network (CNN) is the state-of-the-art solution for large-scale visual recognition. Following basic principles such as increasing the depth and constructing highway connections, researchers have manually…

Computer Vision and Pattern Recognition · Computer Science 2017-03-07 Lingxi Xie , Alan Yuille

Deep Convolutional Neural Networks (CNNs) for image classification successively alternate convolutions and downsampling operations, such as pooling layers or strided convolutions, resulting in lower resolution features the deeper the…

Computer Vision and Pattern Recognition · Computer Science 2022-09-29 Ioannis Vezakis , Antonios Vezakis , Sofia Gourtsoyianni , Vassilis Koutoulidis , George K. Matsopoulos , Dimitrios Koutsouris