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Multiexponential modeling of relaxation or diffusion MR signal decays is a popular approach for estimating and spatially mapping different microstructural tissue compartments. While this approach can be quite powerful, it is also limited by…

图像与视频处理 · 电气工程与系统科学 2019-05-10 Daeun Kim , Jessica L. Wisnowski , Christopher T. Nguyen , Justin P. Haldar

Terahertz (THz) systems inherently introduce frequency-dependent degradation effects, resulting in low-frequency blurring and high-frequency noise in amplitude images. Conventional image processing techniques cannot simultaneously address…

计算机视觉与模式识别 · 计算机科学 2026-02-25 Pengfei Zhu , Stefano Sfarra , Hai Zhang , Carlo Santulli , Elana Pivarciova , Fabrizio Sarasini , Xavier Maldague

Principal Component Analysis (PCA) is a classical method for reducing the dimensionality of data by projecting them onto a subspace that captures most of their variation. Effective use of PCA in modern applications requires understanding…

统计理论 · 数学 2019-06-14 David Hong , Laura Balzano , Jeffrey A. Fessler

Given a sample covariance matrix, we examine the problem of maximizing the variance explained by a linear combination of the input variables while constraining the number of nonzero coefficients in this combination. This is known as sparse…

最优化与控制 · 数学 2010-12-24 Youwei Zhang , Alexandre d'Aspremont , Laurent El Ghaoui

This paper investigates the utility of Principal Component Analysis (PCA) for multi-label classification of multispectral images using ResNet50 and DINOv2, acknowledging the high dimensionality of such data and the associated processing…

计算机视觉与模式识别 · 计算机科学 2025-09-03 Filip Karpowicz , Wiktor Kępiński , Bartosz Staszyński , Grzegorz Sarwas

Principal Component Analysis (PCA) is well known for its capability of dimension reduction and data compression. However, when using PCA for compressing/reconstructing images, images need to be recast to vectors. The vectorization of images…

计算机视觉与模式识别 · 计算机科学 2021-05-04 Liang Liao , Xuechun Zhang , Xinqiang Wang , Sen Lin , Xin Liu

The Principal Component Analysis (PCA) is a data dimensionality reduction technique well-suited for processing data from sensor networks. It can be applied to tasks like compression, event detection, and event recognition. This technique is…

网络与互联网体系结构 · 计算机科学 2010-03-13 Yann-Aël Le Borgne , Sylvain Raybaud , Gianluca Bontempi

Previous versions of sparse principal component analysis (PCA) have presumed that the eigen-basis (a $p \times k$ matrix) is approximately sparse. We propose a method that presumes the $p \times k$ matrix becomes approximately sparse after…

机器学习 · 统计学 2023-08-07 Fan Chen , Karl Rohe

Principal component analysis (PCA) is a well-known linear dimension-reduction method that has been widely used in data analysis and modeling. It is an unsupervised learning technique that identifies a suitable linear subspace for the input…

机器学习 · 统计学 2021-09-10 Shaojie Xu , Joel Vaughan , Jie Chen , Agus Sudjianto , Vijayan Nair

When the dimension of data is comparable to or larger than the number of data samples, Principal Components Analysis (PCA) may exhibit problematic high-dimensional noise. In this work, we propose an Empirical Bayes PCA method that reduces…

统计方法学 · 统计学 2021-09-07 Xinyi Zhong , Chang Su , Zhou Fan

Principal Component analysis (PCA) is a useful statistical technique that is commonly used for multivariate analysis of correlated variables. It is usually applied as a dimension reduction method: the top principal components (PCs)…

Principal components analysis (PCA) is a classical method for the reduction of dimensionality of data in the form of n observations (or cases) of a vector with p variables. For a simple model of factor analysis type, it is proved that…

统计理论 · 数学 2009-01-29 Iain M Johnstone , Arthur Yu Lu

Increasing use of CT in modern medical practice has raised concerns over associated radiation dose. Reduction of radiation dose associated with CT can increase noise and artifacts, which can adversely affect diagnostic confidence. Denoising…

计算机视觉与模式识别 · 计算机科学 2017-02-24 Qingsong Yang , Pingkun Yan , Mannudeep K. Kalra , Ge Wang

Photon-limited imaging arises when the number of photons collected by a sensor array is small relative to the number of detector elements. Photon limitations are an important concern for many applications such as spectral imaging, night…

计算机视觉与模式识别 · 计算机科学 2014-04-29 Joseph Salmon , Zachary Harmany , Charles-Alban Deledalle , Rebecca Willett

We consider the problem of synthetic aperture radar (SAR) imaging and motion estimation of complex scenes. By complex we mean scenes with multiple targets, stationary and in motion. We use the usual setup with one moving antenna emitting…

信息论 · 计算机科学 2015-03-20 Liliana Borcea , Thomas Callaghan , George Papanicolaou

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 component analysis (PCA) is a widespread technique for data analysis that relies on the covariance-correlation matrix of the analyzed data. However to properly work with high-dimensional data, PCA poses severe mathematical…

定量方法 · 定量生物学 2018-10-18 Luigi Leonardo Palese

Principal Component Analysis (PCA) is a method for estimating a subspace given noisy samples. It is useful in a variety of problems ranging from dimensionality reduction to anomaly detection and the visualization of high dimensional data.…

统计理论 · 数学 2019-06-14 David Hong , Laura Balzano , Jeffrey A. Fessler

Principal component analysis (PCA) has been widely applied to dimensionality reduction and data pre-processing for different applications in engineering, biology and social science. Classical PCA and its variants seek for linear projections…

机器学习 · 计算机科学 2017-07-11 Xiaojun Chang , Feiping Nie , Yi Yang , Heng Huang

Principal component analysis (PCA) is recognised as a quintessential data analysis technique when it comes to describing linear relationships between the features of a dataset. However, the well-known sensitivity of PCA to non-Gaussian…

机器学习 · 统计学 2019-10-28 Jean P. Chereau , Bruno Scalzo Dees , Danilo P. Mandic