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相关论文: Synthetic Aperture Radar Imaging and Motion Estima…

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We consider synthetic aperture radar imaging of a region containing point-like targets. Measurements are the set of frequency responses to scattering by the targets taken over a collection of individual spatial locations along the flight…

偏微分方程分析 · 数学 2021-12-28 Arnold D. Kim , Chrysoula Tsogka

Video synthetic aperture radar (SAR) is attracting more attention in recent years due to its abilities of high resolution, high frame rate and advantages in continuous observation. Generally, the polar format algorithm (PFA) is an efficient…

计算机视觉与模式识别 · 计算机科学 2024-01-22 Jiawei Jiang , Yinwei Li , Shaowen Luo , Ping Li , Yiming Zhu

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

Commonly used in computer vision and other applications, robust PCA represents an algorithmic attempt to reduce the sensitivity of classical PCA to outliers. The basic idea is to learn a decomposition of some data matrix of interest into…

计算机视觉与模式识别 · 计算机科学 2016-10-10 Tae-Hyun Oh , Yasuyuki Matsushita , In So Kweon , David Wipf

This paper compares two neural network input selection schemes, the Principal Component Analysis (PCA) and the Automatic Relevance Determination (ARD) based on Mac-Kay's evidence framework. The PCA takes all the input data and projects it…

计算工程、金融与科学 · 计算机科学 2007-05-23 L. Mdlazi , T. Marwala , C. J. Stander , C. Scheffer , P. S. Heyns

Synthetic Aperture RADAR is a radar imaging technique in which the relative motion of the sensor is used to synthesize a very long antenna and obtain high spatial resolution. The increasing interest of the scientific community to simplify…

信号处理 · 电气工程与系统科学 2018-06-05 Cataldo Guaragnella , Tiziana D'Orazio

Principal Component Analysis (PCA) is a well known procedure to reduce intrinsic complexity of a dataset, essentially through simplifying the covariance structure or the correlation structure. We introduce a novel algebraic, model-based…

统计方法学 · 统计学 2021-12-09 Martin Schlather , Felix Reinbott

Cellular Automata are discrete dynamical systems that evolve following simple and local rules. Despite of its local simplicity, knowledge discovery in CA is a NP problem. This is the main motivation for using data mining techniques for CA…

离散数学 · 计算机科学 2007-05-23 Gilson A. Giraldi , Antonio A. F. Oliveira , Leonardo Carvalho

We propose novel methods for predictive (sparse) PCA with spatially misaligned data. These methods identify principal component loading vectors that explain as much variability in the observed data as possible, while also ensuring the…

统计方法学 · 统计学 2015-09-04 Roman A. Jandarov , Lianne A. Sheppard , Paul D. Sampson , Adam A. Szpiro

In this paper, we study the problem of sparse Principal Component Analysis (PCA) in the high-dimensional setting with missing observations. Our goal is to estimate the first principal component when we only have access to partial…

统计理论 · 数学 2012-06-04 Karim Lounici

Principal component analysis (PCA) is a well-established method commonly used to explore and visualise data. A classical PCA model is the fixed effect model where data are generated as a fixed structure of low rank corrupted by noise. Under…

统计方法学 · 统计学 2013-05-13 Marie Verbanck , Julie Josse , François Husson

Robust principal component analysis (RPCA) can recover low-rank matrices when they are corrupted by sparse noises. In practice, many matrices are, however, of high-rank and hence cannot be recovered by RPCA. We propose a novel method called…

机器学习 · 计算机科学 2019-04-19 Jicong Fan , Tommy W. S. Chow

With the advent of self-driving vehicles, autonomous driving systems will have to rely on a vast number of heterogeneous sensors to perform dynamic perception of the surrounding environment. Synthetic Aperture Radar (SAR) systems increase…

Principal component analysis (PCA) is a widely used unsupervised dimensionality reduction technique in machine learning, applied across various fields such as bioinformatics, computer vision and finance. However, when the response variables…

应用统计 · 统计学 2025-06-25 Theodosios Papazoglou , Guosheng Yin

Principal component analysis (PCA) is arguably the most widely used approach for large-dimensional factor analysis. While it is effective when the factors are sufficiently strong, it can be inconsistent when the factors are weak and/or the…

统计方法学 · 统计学 2025-08-22 Zhongyuan Lyu , Ming Yuan

Principal Components Analysis (PCA) is one of the most widely used dimension reduction techniques. Robust PCA (RPCA) refers to the problem of PCA when the data may be corrupted by outliers. Recent work by Cand{\`e}s, Wright, Li, and Ma…

信息论 · 计算机科学 2018-08-14 Namrata Vaswani , Praneeth Narayanamurthy

Change detection is an important synthetic aperture radar (SAR) application, usually used to detect changes on the ground scene measurements in different moments in time. Traditionally, change detection algorithm (CDA) is mainly designed…

图像与视频处理 · 电气工程与系统科学 2022-06-07 B. G. Palm , D. I. Alves , V. T. Vu , M. I. Pettersson , F. M. Bayer , R. J. Cintra , R. Machado , P. Dammert , H. Hellsten

In this paper, a new method is proposed for sparse PCA based on the recursive divide-and-conquer methodology. The main idea is to separate the original sparse PCA problem into a series of much simpler sub-problems, each having a closed-form…

计算机视觉与模式识别 · 计算机科学 2012-12-03 Qian Zhao , Deyu Meng , Zongben Xu

In this paper, we study the problem of recovering a low-rank matrix (the principal components) from a high-dimensional data matrix despite both small entry-wise noise and gross sparse errors. Recently, it has been shown that a convex…

信息论 · 计算机科学 2010-01-15 Zihan Zhou , Xiaodong Li , John Wright , Emmanuel Candes , Yi Ma

Synthetic aperture radar (SAR) image change detection is a critical yet challenging task in the field of remote sensing image analysis. The task is non-trivial due to the following challenges: Firstly, intrinsic speckle noise of SAR images…

图像与视频处理 · 电气工程与系统科学 2021-10-19 Yunhao Gao , Feng Gao , Junyu Dong , Qian Du , Heng-Chao Li