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The Principal Component Analysis Network (PCANet), which is one of the recently proposed deep learning architectures, achieves the state-of-the-art classification accuracy in various databases. However, the performance of PCANet may be…

Computer Vision and Pattern Recognition · Computer Science 2015-03-06 Rui Zeng , Jiasong Wu , Zhuhong Shao , Yang Chen , Lotfi Senhadji , Huazhong Shu

The recently proposed principal component analysis network (PCANet) has been proved high performance for visual content classification. In this letter, we develop a tensorial extension of PCANet, namely, multilinear principal analysis…

Computer Vision and Pattern Recognition · Computer Science 2014-11-06 Rui Zeng , Jiasong Wu , Zhuhong Shao , Lotfi Senhadji , Huazhong Shu

In this work, we propose a very simple deep learning network for image classification which comprises only the very basic data processing components: cascaded principal component analysis (PCA), binary hashing, and block-wise histograms. In…

Computer Vision and Pattern Recognition · Computer Science 2015-10-28 Tsung-Han Chan , Kui Jia , Shenghua Gao , Jiwen Lu , Zinan Zeng , Yi Ma

The principal component analysis network (PCANet), which is one of the recently proposed deep learning architectures, achieves the state-of-the-art classification accuracy in various databases. However, the explanation of the PCANet is…

Computer Vision and Pattern Recognition · Computer Science 2016-03-04 Jiasong Wu , Shijie Qiu , Youyong Kong , Longyu Jiang , Lotfi Senhadji , Huazhong Shu

Kernel principal component analysis (KPCA) is a well-recognized nonlinear dimensionality reduction method that has been widely used in nonlinear fault detection tasks. As a kernel trick-based method, KPCA inherits two major problems. First,…

Machine Learning · Computer Science 2024-10-28 Zelin Ren , Xuebing Yang , Yuchen Jiang , Wensheng Zhang

This paper has proposed a new baseline deep learning model of more benefits for image classification. Different from the convolutional neural network(CNN) practice where filters are trained by back propagation to represent different…

Computer Vision and Pattern Recognition · Computer Science 2021-08-13 Yifei Li , Kuangyan Song , Yiming Sun , Liao Zhu

This paper proposes a multilinear discriminant analysis network (MLDANet) for the recognition of multidimensional objects, known as tensor objects. The MLDANet is a variation of linear discriminant analysis network (LDANet) and principal…

Computer Vision and Pattern Recognition · Computer Science 2014-11-06 Rui Zeng , Jiasong Wu , Lotfi Senhadji , Huazhong Shu

Principal component analysis (PCA) is a popular tool for linear dimensionality reduction and feature extraction. Kernel PCA is the nonlinear form of PCA, which better exploits the complicated spatial structure of high-dimensional features.…

Computer Vision and Pattern Recognition · Computer Science 2014-09-02 Quan Wang

Deep learning models often function as black boxes, providing no straightforward reasoning for their predictions. This is particularly true for computer vision models, which process tensors of pixel values to generate outcomes in tasks such…

Computer Vision and Pattern Recognition · Computer Science 2024-10-02 Sachin Karmani , Thanushon Sivakaran , Gaurav Prasad , Mehmet Ali , Wenbo Yang , Sheyang Tang

Principal Component Analysis (PCA) and its nonlinear extension Kernel PCA (KPCA) are widely used across science and industry for data analysis and dimensionality reduction. Modern deep learning tools have achieved great empirical success,…

Machine Learning · Computer Science 2023-02-23 Francesco Tonin , Qinghua Tao , Panagiotis Patrinos , Johan A. K. Suykens

In this paper, we propose a novel deep learning network L1-(2D)2PCANet for face recognition, which is based on L1-norm-based two-directional two-dimensional principal component analysis (L1-(2D)2PCA). In our network, the role of L1-(2D)2PCA…

Computer Vision and Pattern Recognition · Computer Science 2019-07-24 YunKun Li , XiaoJun Wu , Josef Kittler

With the development of Earth observation technology, very-high-resolution (VHR) image has become an important data source of change detection. Nowadays, deep learning methods have achieved conspicuous performance in the change detection of…

Image and Video Processing · Electrical Eng. & Systems 2019-12-19 Chen Wu , Hongruixuan Chen , Bo Do , Liangpei Zhang

PCANet was proposed as a lightweight deep learning network that mainly leverages Principal Component Analysis (PCA) to learn multistage filter banks followed by binarization and block-wise histograming. PCANet was shown worked surprisingly…

Computer Vision and Pattern Recognition · Computer Science 2016-04-27 Cong Jie Ng , Andrew Beng Jin Teoh

Kernel principal component analysis (KPCA) provides a concise set of basis vectors which capture non-linear structures within large data sets, and is a central tool in data analysis and learning. To allow for non-linear relations, typically…

Data Structures and Algorithms · Computer Science 2015-12-17 Mina Ghashami , Daniel Perry , Jeff M. Phillips

The kernel matrix used in kernel methods encodes all the information required for solving complex nonlinear problems defined on data representations in the input space using simple, but implicitly defined, solutions. Spectral analysis on…

Machine Learning · Computer Science 2020-10-26 Alexandros Iosifidis

Kernel Principal Component Analysis (KPCA) is a key machine learning algorithm for extracting nonlinear features from data. In the presence of a large volume of high dimensional data collected in a distributed fashion, it becomes very…

Machine Learning · Computer Science 2016-02-16 Maria-Florina Balcan , Yingyu Liang , Le Song , David Woodruff , Bo Xie

KNN is one of the most popular classification methods, but it often fails to work well with inappropriate choice of distance metric or due to the presence of numerous class-irrelevant features. Linear feature transformation methods have…

Machine Learning · Computer Science 2009-06-11 Martin Renqiang Min , David A. Stanley , Zineng Yuan , Anthony Bonner , Zhaolei Zhang

This paper presents Discriminative Part Network (DP-Net), a deep architecture with strong interpretation capabilities, which exploits a pretrained Convolutional Neural Network (CNN) combined with a part-based recognition module. This system…

Computer Vision and Pattern Recognition · Computer Science 2024-04-24 Ronan Sicre , Hanwei Zhang , Julien Dejasmin , Chiheb Daaloul , Stéphane Ayache , Thierry Artières

Inspired by a growing interest in analyzing network data, we study the problem of node classification on graphs, focusing on approaches based on kernel machines. Conventionally, kernel machines are linear classifiers in the implicit feature…

Machine Learning · Statistics 2010-01-25 Xiao Tang , Mu Zhu

Understanding feature representation for deep neural networks (DNNs) remains an open question within the general field of explainable AI. We use principal component analysis (PCA) to study the performance of a k-nearest neighbors classifier…

Machine Learning · Computer Science 2023-09-28 Amit Harlev , Andrew Engel , Panos Stinis , Tony Chiang
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