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Singular value decomposition (SVD) based principal component analysis (PCA) breaks down in the high-dimensional and limited sample size regime below a certain critical eigen-SNR that depends on the dimensionality of the system and the…

统计理论 · 数学 2019-12-17 Arvind Prasadan , Raj Rao Nadakuditi , Debashis Paul

Along with the improvement of radar technologies, Automatic Target Recognition (ATR) using Synthetic Aperture Radar (SAR) and Inverse SAR (ISAR) has come to be an active research area. SAR/ISAR are radar techniques to generate a…

计算机视觉与模式识别 · 计算机科学 2018-03-13 Carlos Pena-Caballero , Elifaleth Cantu , Jesus Rodriguez , Adolfo Gonzales , Osvaldo Castellanos , Angel Cantu , Megan Strait , Jae Son , Dongchul Kim

Target detection is the front-end stage in any automatic target recognition system for synthetic aperture radar (SAR) imagery (SAR-ATR). The efficacy of the detector directly impacts the succeeding stages in the SAR-ATR processing chain.…

图像与视频处理 · 电气工程与系统科学 2018-04-16 Khalid El-Darymli , Peter McGuire , Desmond Power , Cecilia Moloney

A general framework for principal component analysis (PCA) in the presence of heteroskedastic noise is introduced. We propose an algorithm called HeteroPCA, which involves iteratively imputing the diagonal entries of the sample covariance…

统计理论 · 数学 2021-04-02 Anru R. Zhang , T. Tony Cai , Yihong Wu

Principal component analysis (PCA) is one of the most commonly used statistical procedures with a wide range of applications. This paper considers both minimax and adaptive estimation of the principal subspace in the high dimensional…

统计理论 · 数学 2014-01-08 T. Tony Cai , Zongming Ma , Yihong Wu

Recently popularized randomized methods for principal component analysis (PCA) efficiently and reliably produce nearly optimal accuracy --- even on parallel processors --- unlike the classical (deterministic) alternatives. We adapt one of…

统计计算 · 统计学 2011-12-23 Nathan Halko , Per-Gunnar Martinsson , Yoel Shkolnisky , Mark Tygert

In this paper, we present a novel, learning-based, two-step super-resolution (SR) algorithm well suited to solve the specially demanding problem of obtaining SR estimates from short image sequences. The first step, devoted to increase the…

计算机视觉与模式识别 · 计算机科学 2012-01-19 Carlos Miravet , Francisco B. Rodríguez

Due to its efficiency and stability, Robust Principal Component Analysis (RPCA) has been emerging as a promising tool for moving object detection. Unfortunately, existing RPCA based methods assume static or quasi-static background, and…

计算机视觉与模式识别 · 计算机科学 2017-09-05 Yang Li , Guangcan Liu , Shengyong Chen

High-dimensional image data often require dimensionality reduction before further analysis. This paper provides a purely analytical comparison of two linear techniques-Principal Component Analysis (PCA) and Singular Value Decomposition…

计算机视觉与模式识别 · 计算机科学 2025-06-27 Michael Gyimadu , Gregory Bell , Ph. D

Principal component analysis (PCA) is an unsupervised method for learning low-dimensional features with orthogonal projections. Multilinear PCA methods extend PCA to deal with multidimensional data (tensors) directly via tensor-to-tensor…

机器学习 · 统计学 2015-05-08 Qiquan Shi , Haiping Lu

PURPOSE: Multi-exponential relaxometry is a powerful tool for characterizing tissue, but generally requires high image signal-to-noise ratio (SNR). This work evaluates the use of principal-component-analysis (PCA) denoising to mitigate…

In autonomous driving, radar systems play an important role in detecting targets such as other vehicles on the road. Radars mounted on different cars can interfere with each other, degrading the detection performance. Deep learning methods…

信号处理 · 电气工程与系统科学 2021-04-20 Nicolae-Cătălin Ristea , Andrei Anghel , Radu Tudor Ionescu , Yonina C. Eldar

Principal Component Analysis (PCA) has wide applications in machine learning, text mining and computer vision. Classical PCA based on a Gaussian noise model is fragile to noise of large magnitude. Laplace noise assumption based PCA methods…

机器学习 · 计算机科学 2014-12-22 Pengtao Xie , Eric Xing

Sparse Principal Component Analysis (sPCA) is a popular matrix factorization approach based on Principal Component Analysis (PCA) that combines variance maximization and sparsity with the ultimate goal of improving data interpretation. When…

机器学习 · 统计学 2020-11-19 J. Camacho , A. K. Smilde , E. Saccenti , J. A. Westerhuis

The beam position monitor (BPM) system is of most importance in a light source. The capability of the BPM depends on the resolution of the system. The traditional standard deviation on the raw data method merely gives the upper limit of the…

加速器物理 · 物理学 2015-06-17 Zhichu Chen , Yongbin Leng , Yingbing Yan , Renxian Yuan , Longwei Lai

Phase unwrapping is a key problem in many coherent imaging systems, such as synthetic aperture radar (SAR) interferometry. A general formulation for redundant integration of finite differences for phase unwrapping (Costantini et al., 2010)…

其他计算机科学 · 计算机科学 2018-05-04 Ravi Lanka

We propose a stable version of Principal Component Analysis (PCA) in the general framework of a separable Hilbert space. It consists in interpreting the projection on the first eigenvectors as a step function applied to the spectrum of the…

统计理论 · 数学 2017-04-03 Ilaria Giulini

Layover separation has been fundamental to many synthetic aperture radar applications, such as building reconstruction and biomass estimation. Retrieving the scattering profile along the mixed dimension (elevation) is typically solved by…

信号处理 · 电气工程与系统科学 2021-07-07 Yuanyuan Wang , Xiao Xiang Zhu

Synthetic aperture radar technology is crucial for high-resolution imaging under various conditions; however, the acquisition of real-world synthetic aperture radar data for deep learning-based automatic target recognition remains…

计算机视觉与模式识别 · 计算机科学 2024-09-24 Minjun Kim , Ohtae Jang , Haekang Song , Heesub Shin , Jaewoo Ok , Minyoung Back , Jaehyuk Youn , Sungho Kim

Principal component analysis (PCA) is a classical method for dimensionality reduction based on extracting the dominant eigenvectors of the sample covariance matrix. However, PCA is well known to behave poorly in the ``large $p$, small $n$''…

统计理论 · 数学 2009-08-26 Arash A. Amini , Martin J. Wainwright