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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

Automatic measuring of speaker sincerity degree is a novel research problem in computational paralinguistics. This paper proposes covariance-based feature vectors to model speech and ensembles of support vector regressors to estimate the…

This paper presents a study of the approaches in the state-of-the-art in the field of pathological speech signal analysis with a special focus on parametrization techniques. It provides a description of 92 speech features where some of them…

Motivation: Although principal component analysis (PCA) is widely used for the dimensional reduction of biomedical data, interpretation of PCA results remains daunting. Most existing methods attempt to explain each principal component (PC)…

定量方法 · 定量生物学 2015-08-24 H. Robert Frost , Zhigang Li , Jason H. Moore

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

Sparse Principal Component Analysis (sPCA) is a cardinal technique for obtaining combinations of features, or principal components (PCs), that explain the variance of high-dimensional datasets in an interpretable manner. This involves…

最优化与控制 · 数学 2025-12-02 Ryan Cory-Wright , Jean Pauphilet

Principal component analysis (PCA) is a well-known tool in multivariate statistics. One significant challenge in using PCA is the choice of the number of components. In order to address this challenge, we propose an exact distribution-based…

统计方法学 · 统计学 2015-06-02 Yunjin Choi , Jonathan Taylor , Robert Tibshirani

In our previous work, a reduced order model (ROM) for a stochastic system was made, where noisy data was projected onto principal component analysis (PCA)-derived basis vectors to obtain an accurate reconstruction of the noise-free data.…

数值分析 · 数学 2017-02-07 Indika Udagedara , Brian Helenbrook , Aaron Luttman , Jared Catenacci

Dysarthria is a condition which hampers the ability of an individual to control the muscles that play a major role in speech delivery. The loss of fine control over muscles that assist the movement of lips, vocal chords, tongue and…

声音 · 计算机科学 2021-03-11 Ayush Tripathi , Swapnil Bhosale , Sunil Kumar Kopparapu

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

The performance of the standard Online Robust Principal Component Analysis (OR-PCA) technique depends on the optimum tuning of the explicit regularizers and this tuning is dataset sensitive. We aim to remove the dependency on these tuning…

机器学习 · 计算机科学 2025-08-15 Lakshmi Jayalal , Gokularam Muthukrishnan , Sheetal Kalyani

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

Sparse principal component analysis (sPCA) enhances the interpretability of principal components (PCs) by imposing sparsity constraints on loading vectors (LVs). However, when used as a precursor to independent component analysis (ICA) for…

计算机视觉与模式识别 · 计算机科学 2024-11-20 Muhammad Usman Khalid

Recent works in pathological speech analysis have increasingly relied on powerful self-supervised speech representations, leading to promising results. However, the complex, black-box nature of these embeddings and the limited research on…

计算机视觉与模式识别 · 计算机科学 2025-02-11 David Gimeno-Gómez , Catarina Botelho , Anna Pompili , Alberto Abad , Carlos-D. Martínez-Hinarejos

Principal Component Analysis (PCA) is one of the most commonly used statistical methods for data exploration, and for dimensionality reduction wherein the first few principal components account for an appreciable proportion of the…

统计方法学 · 统计学 2024-01-11 Caren Marzban , Ulvi Yurtsever , Michael Richman

Principal component regression (PCR) is a simple, but powerful and ubiquitously utilized method. Its effectiveness is well established when the covariates exhibit low-rank structure. However, its ability to handle settings with noisy,…

机器学习 · 计算机科学 2021-05-20 Anish Agarwal , Devavrat Shah , Dennis Shen , Dogyoon Song

Principal component analysis (PCA) is a widely employed statistical tool used primarily for dimensionality reduction. However, it is known to be adversely affected by the presence of outlying observations in the sample, which is quite…

统计方法学 · 统计学 2023-09-26 Subhrajyoty Roy , Ayanendranath Basu , Abhik Ghosh

Principal component analysis (PCA) is traditionally implemented through a covariance or kernel matrix, leading-eigenvector extraction, and hard rank-$k$ projection. These steps can be computationally costly in high-dimensional and…

量子物理 · 物理学 2026-05-28 Yewei Yuan , Michele Minervini , Mark M. Wilde , Nana Liu

Principal Component Analysis (PCA) is applied to a variety of blazars to examine X-ray spectral variability. Data from nine different objects are analysed in two ways: long-term, which examines variability trends across years or decades,…

高能天体物理现象 · 物理学 2018-08-08 Dennis Gallant , Luigi C. Gallo , Michael L. Parker

Generating 3D speech-driven talking head has received more and more attention in recent years. Recent approaches mainly have following limitations: 1) most speaker-independent methods need handcrafted features that are time-consuming to…

音频与语音处理 · 电气工程与系统科学 2020-06-23 Huirong Huang , Zhiyong Wu , Shiyin Kang , Dongyang Dai , Jia Jia , Tianxiao Fu , Deyi Tuo , Guangzhi Lei , Peng Liu , Dan Su , Dong Yu , Helen Meng