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Principal component analysis (PCA) is a classical dimension reduction method which projects data onto the principal subspace spanned by the leading eigenvectors of the covariance matrix. However, it behaves poorly when the number of…

统计理论 · 数学 2013-05-27 Zongming Ma

Spatial speech communication, i.e., the reconstruction of spoken signal along with the relative speaker position in the enclosure (reverberation information) is considered in this paper. Directional, diffuse components and the source…

音频与语音处理 · 电气工程与系统科学 2021-09-13 Srikanth Raj Chetupalli , Thippur V. Sreenivas

Principal component analysis (PCA) is a widely used dimension reduction tool in the analysis of many kind of high-dimensional data. It is used in signal processing, mechanical engineering, psychometrics, and other fields under different…

统计方法学 · 统计学 2014-01-15 Ngoc Mai Tran , Maria Osipenko , Wolfgang Karl Haerdle

In single dish neutral hydrogen (HI) intensity mapping, signal separation methods such as principal component analysis (PCA) are used to clean the astrophysical foregrounds. PCA induces a signal loss in the estimated power spectrum, which…

宇宙学与河外天体物理 · 物理学 2025-08-05 Zhaoting Chen

This article focuses on estimating relative transfer functions (RTFs) for beamforming applications. Traditional methods often assume that spectra are uncorrelated, an assumption that is often violated in practical scenarios due to factors…

音频与语音处理 · 电气工程与系统科学 2025-02-18 Giovanni Bologni , Richard C. Hendriks , Richard Heusdens

This paper presents a method for predicting stock returns using principal component analysis (PCA) and the hidden Markov model (HMM) and tests the results of trading stocks based on this approach. Principal component analysis is applied to…

统计金融 · 定量金融 2023-07-04 Eugene W. Park

Distributed algorithms and theories are called for in this era of big data. Under weaker local signal-to-noise ratios, we improve upon the celebrated one-round distributed principal component analysis (PCA) algorithm designed in the spirit…

统计方法学 · 统计学 2025-07-01 ZeYu Li , Xinsheng Zhang , Wang Zhou

Principal component analysis (PCA) is a key tool in the field of data dimensionality reduction. However, some applications involve heterogeneous data that vary in quality due to noise characteristics associated with each data sample.…

机器学习 · 统计学 2026-03-18 Javier Salazar Cavazos , Jeffrey A. Fessler , Laura Balzano

Estimating intrinsic dimensionality of data is a classic problem in pattern recognition and statistics. Principal Component Analysis (PCA) is a powerful tool in discovering dimensionality of data sets with a linear structure; it, however,…

计算机视觉与模式识别 · 计算机科学 2010-02-11 Mingyu Fan , Nannan Gu , Hong Qiao , Bo Zhang

Topology optimization is a structural design methodology widely utilized to address engineering challenges. However, sensitivity-based topology optimization methods struggle to solve optimization problems characterized by strong…

机器学习 · 计算机科学 2025-06-16 Jun Yang , Kentaro Yaji , Shintaro Yamasaki

Recent developments in machine learning and signal processing have resulted in many new techniques that are able to effectively capture the intrinsic yet complex properties of hyperspectral imagery. Tasks ranging from anomaly detection to…

计算机视觉与模式识别 · 计算机科学 2020-11-24 Ilya Kavalerov , Weilin Li , Wojciech Czaja , Rama Chellappa

Diffusion models have demonstrated strong capabilities in generating high-fidelity 3D human poses, yet their iterative nature and multi-hypothesis requirements incur substantial computational cost. In this paper, we propose an Efficient…

计算机视觉与模式识别 · 计算机科学 2026-03-10 Yuquan Bi , Hongsong Wang , Xinli Shi , Zhipeng Gui , Jie Gui , Yuan Yan Tang

Principal component analysis (PCA) is a classical feature extraction method, but it may be adversely affected by outliers, resulting in inaccurate learning of the projection matrix. This paper proposes a robust method to estimate both the…

机器学习 · 计算机科学 2024-08-23 Yingzhuo Deng , Ke Hu , Bo Li , Yao Zhang

Independent component analysis is commonly applied to functional magnetic resonance imaging (fMRI) data to extract independent components (ICs) representing functional brain networks. While ICA produces reliable group-level estimates,…

统计方法学 · 统计学 2020-06-05 Amanda F. Mejia , David Bolin , Yu Ryan Yue , Jiongran Wang , Brian S. Caffo , Mary Beth Nebel

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

In this paper, we propose a novel hierarchical representation via message propagation (HRMP) method for robust model fitting, which simultaneously takes advantages of both the consensus analysis and the preference analysis to estimate the…

计算机视觉与模式识别 · 计算机科学 2021-01-01 Shuyuan Lin , Xing Wang , Guobao Xiao , Yan Yan , Hanzi Wang

When modeling multivariate data, one might have an extra parameter of contextual information that could be used to treat some observations as more similar to others. For example, images of faces can vary by age, and one would expect the…

计算机视觉与模式识别 · 计算机科学 2018-02-06 Ajay Gupta , Adrian Barbu

Designing and modifying complex hull forms for optimal vessel performances have been a major challenge for naval architects. In the present study, Principal Component Analysis (PCA) is introduced to compress the geometric representation of…

机器学习 · 统计学 2018-10-30 Dongchi Yu , Lu Wang

Functional principal component analysis (FPCA) is a fundamental tool and has attracted increasing attention in recent decades, while existing methods are restricted to data with a single or finite number of random functions (much smaller…

统计方法学 · 统计学 2021-01-22 Xiaoyu Hu , Fang Yao

Spatiotemporal gene expression data of the human brain offer insights on the spa- tial and temporal patterns of gene regulation during brain development. Most existing methods for analyzing these data consider spatial and temporal profiles…

统计方法学 · 统计学 2017-02-27 Tianqi Liu , Ming Yuan , Hongyu Zhao