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In the age of information explosion, image classification is the key technology of dealing with and organizing a large number of image data. Currently, the classical image classification algorithms are mostly based on RGB images or…

计算机视觉与模式识别 · 计算机科学 2019-03-13 Yaoqi Sun , Liang Li , Liang Zheng , Ji Hu , Yatong Jiang , Chenggang Yan

Probabilistic principal component analysis (PPCA) seeks a low dimensional representation of a data set in the presence of independent spherical Gaussian noise. The maximum likelihood solution for the model is an eigenvalue problem on the…

机器学习 · 计算机科学 2012-06-22 Alfredo Kalaitzis , Neil Lawrence

Principal component analysis (PCA) has well-documented merits for data extraction and dimensionality reduction. PCA deals with a single dataset at a time, and it is challenged when it comes to analyzing multiple datasets. Yet in certain…

机器学习 · 计算机科学 2017-10-27 Gang Wang , Jia Chen , Georgios B. Giannakis

A novel method for common and individual feature analysis from exceedingly large-scale data is proposed, in order to ensure the tractability of both the computation and storage and thus mitigate the curse of dimensionality, a major…

信号处理 · 电气工程与系统科学 2017-11-03 Ilia Kisil , Giuseppe G. Calvi , Danilo P. Mandic

Principal component analysis (PCA) can be significantly limited when there is too few examples of the target data of interest. We propose a transfer learning approach to PCA (TL-PCA) where knowledge from a related source task is used in…

机器学习 · 计算机科学 2024-10-15 Sharon Hendy , Yehuda Dar

Dimension reduction is useful for exploratory data analysis. In many applications, it is of interest to discover variation that is enriched in a "foreground" dataset relative to a "background" dataset. Recently, contrastive principal…

统计方法学 · 统计学 2021-05-04 Didong Li , Andrew Jones , Barbara Engelhardt

Sparse principal component analysis (PCA) is an important technique for dimensionality reduction of high-dimensional data. However, most existing sparse PCA algorithms are based on non-convex optimization, which provide little guarantee on…

统计方法学 · 统计学 2019-11-20 Yixuan Qiu , Jing Lei , Kathryn Roeder

Hyperspectral super-resolution (HSR) aims at fusing a hyperspectral image (HSI) and a multispectral image (MSI) to produce a super-resolution image (SRI). Recently, a coupled tensor factorization approach was proposed to handle this…

信号处理 · 电气工程与系统科学 2019-10-24 Guoyong Zhang , Xiao Fu , Kejun Huang , Jun Wang

Data analysis often requires methods that are invariant with respect to specific transformations, such as rotations in case of images or shifts in case of images and time series. While principal component analysis (PCA) is a widely-used…

机器学习 · 统计学 2024-01-30 Florian Heinrichs

Nowadays, hyperspectral image classification widely copes with spatial information to improve accuracy. One of the most popular way to integrate such information is to extract hierarchical features from a multiscale segmentation. In the…

计算机视觉与模式识别 · 计算机科学 2016-06-17 Yanwei Cui , Laetitia Chapel , Sébastien Lefèvre

The main shortage of principle component analysis (PCA) based anomaly detection models is their interpretability. In this paper, our goal is to propose an interpretable PCA-based model for anomaly detection and interpretation. The propose…

数值分析 · 计算机科学 2016-05-17 Xingyan Bin , Ying Zhao , Bilong Shen

Higher-order tensors have received increased attention across science and engineering. While most tensor decomposition methods are developed for a single tensor observation, scientific studies often collect side information, in the form of…

统计方法学 · 统计学 2021-10-29 Jiaxin Hu , Chanwoo Lee , Miaoyan Wang

Principal component analysis (PCA) is often used for analyzing data in the most diverse areas. In this work, we report an integrated approach to several theoretical and practical aspects of PCA. We start by providing, in an intuitive and…

计算工程、金融与科学 · 计算机科学 2021-06-09 Felipe L. Gewers , Gustavo R. Ferreira , Henrique F. de Arruda , Filipi N. Silva , Cesar H. Comin , Diego R. Amancio , Luciano da F. Costa

Hyperspectral imaging provides detailed information about the scanned objects, as it captures their spectral characteristics within a large number of wavelength bands. Classification of such data has become an active research topic due to…

计算机视觉与模式识别 · 计算机科学 2019-07-30 Jakub Nalepa , Lukasz Tulczyjew , Michal Myller , Michal Kawulok

Hyperspectral super-resolution refers to the problem of fusing a hyperspectral image (HSI) and a multispectral image (MSI) to produce a super-resolution image (SRI) that has fine spatial and spectral resolution. State-of-the-art methods…

信号处理 · 电气工程与系统科学 2018-12-05 Charilaos I. Kanatsoulis , Xiao Fu , Nicholas D. Sidiropoulos , Wing-Kin Ma

Principal Component Analysis (PCA) is the workhorse tool for dimensionality reduction in this era of big data. While often overlooked, the purpose of PCA is not only to reduce data dimensionality, but also to yield features that are…

机器学习 · 计算机科学 2021-11-30 Arpita Gang , Waheed U. Bajwa

Deep learning has been widely used for hyperspectral pixel classification due to its ability of generating deep feature representation. However, how to construct an efficient and powerful network suitable for hyperspectral data is still…

计算机视觉与模式识别 · 计算机科学 2019-04-17 Jingzhou Chen , Siyu Chen , Peilin Zhou , Yuntao Qian

This paper introduces a new unsupervised method for dimensionality reduction via regression (DRR). The algorithm belongs to the family of invertible transforms that generalize Principal Component Analysis (PCA) by using curvilinear instead…

机器学习 · 统计学 2016-02-02 Valero Laparra , Jesus Malo , Gustau Camps-Valls

Principal component analysis (PCA) is largely adopted for chemical process monitoring and numerous PCA-based systems have been developed to solve various fault detection and diagnosis problems. Since PCA-based methods assume that the…

机器学习 · 计算机科学 2017-12-13 Haitao Zhao

High-dimensional, higher-order tensor data are gaining prominence in a variety of fields, including but not limited to computer vision and network analysis. Tensor factor models, induced from noisy versions of tensor decompositions or…

统计方法学 · 统计学 2024-12-16 Xu Zhang , Guodong Li , Catherine C. Liu , Jianhua Guo