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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

Imprecise vowel articulation can be observed in people with Parkinson's disease (PD). Acoustic features measuring vowel articulation have been demonstrated to be effective indicators of PD in its assessment. Standard clinical vowel…

音频与语音处理 · 电气工程与系统科学 2021-08-18 Yuanyuan Liu , Nelly Penttilä , Tiina Ihalainen , Juulia Lintula , Rachel Convey , Okko Räsänen

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

In this paper, we propose a new approach to pathological speech synthesis. Instead of using healthy speech as a source, we customise an existing pathological speech sample to a new speaker's voice characteristics. This approach alleviates…

Linear principal component analysis (PCA) can be extended to a nonlinear PCA by using artificial neural networks. But the benefit of curved components requires a careful control of the model complexity. Moreover, standard techniques for…

机器学习 · 计算机科学 2012-04-04 Matthias Scholz

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

The front-end factor analysis (FEFA), an extension of principal component analysis (PPCA) tailored to be used with Gaussian mixture models (GMMs), is currently the prevalent approach to extract compact utterance-level features (i-vectors)…

音频与语音处理 · 电气工程与系统科学 2018-05-04 Ville Vestman , Tomi Kinnunen

Principal component analysis (PCA) is a fundamental tool for analyzing multivariate data. Here the focus is on dimension reduction to the principal subspace, characterized by its projection matrix. The classical principal subspace can be…

统计方法学 · 统计学 2026-05-29 Fabio Centofanti , Mia Hubert , Peter J. Rousseeuw

Incorporating covariates into functional principal component analysis (PCA) can substantially improve the representation efficiency of the principal components and predictive performance. However, many existing functional PCA methods do not…

统计方法学 · 统计学 2023-08-22 Fei Ding , Shiyuan He , David E. Jones , Jianhua Z. Huang

This article establishes a new and comprehensive estimation and inference theory for principal component analysis (PCA) under the weak factor model that allow for cross-sectional dependent idiosyncratic components under the nearly minimal…

统计方法学 · 统计学 2024-10-02 Jianqing Fan , Yuling Yan , Yuheng Zheng

Principal Component Analysis (PCA) is a transform for finding the principal components (PCs) that represent features of random data. PCA also provides a reconstruction of the PCs to the original data. We consider an extension of PCA which…

统计方法学 · 统计学 2021-11-05 Pablo Soto-Quiros , Anatoli Torokhti

In this paper, we propose a novel robust Principal Component Analysis (PCA) for high-dimensional data in the presence of various heterogeneities, especially the heavy-tailedness and outliers. A transformation motivated by the characteristic…

统计方法学 · 统计学 2022-04-05 Lingyu He , Yanrong Yang , Bo Zhang

Probabilistic principal component analysis (PPCA) seeks a low dimensional representation of a data set in the presence of independent spherical Gaussian noise, Sigma = (sigma^2)*I. The maximum likelihood solution for the model is an…

机器学习 · 统计学 2011-06-23 Alfredo A. Kalaitzis , Neil D. Lawrence

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

A system with many degrees of freedom can be characterized by a covariance matrix; principal components analysis (PCA) focuses on the eigenvalues of this matrix, hoping to find a lower dimensional description. But when the spectrum is…

生物物理 · 物理学 2017-04-26 Serena Bradde , William Bialek

The principal component analysis (PCA) is a staple statistical and unsupervised machine learning technique in finance. The application of PCA in a financial setting is associated with several technical difficulties, such as numerical…

统计金融 · 定量金融 2021-08-31 Paul Bilokon , David Finkelstein

Dysarthric speech severity assessment typically requires trained clinicians or supervised models built from labelled pathological speech, limiting scalability across languages and clinical settings. We present a training-free method that…

计算与语言 · 计算机科学 2026-04-14 Bernard Muller , Antonio Armando Ortiz Barrañón , LaVonne Roberts

Over the years, Principal Component Analysis (PCA) has served as the baseline approach for dimensionality reduction in gene expression data analysis. It primary objective is to identify a subset of disease-causing genes from a vast pool of…

代数拓扑 · 数学 2023-06-13 Sean Cottrell , Rui Wang , Guowei Wei

Deep autoencoders are often extended with a supervised or adversarial loss to learn latent representations with desirable properties, such as greater predictivity of labels and outcomes or fairness with respects to a sensitive variable.…

机器学习 · 统计学 2022-01-10 William E. Carson , Austin Talbot , David Carlson

Conventional automatic assessment of pathological speech usually follows two main steps: (1) extraction of pathology-specific features; (2) classification or regression on extracted features. Given the great variety of speech and language…

音频与语音处理 · 电气工程与系统科学 2019-04-02 Ying Qin , Yuzhong Wu , Tan Lee , Anthony Pak Hin Kong