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Principal component analysis (PCA) represents a standard approach to identify collective variables $\{x_i\}\!=\!\boldsymbol{x}$, which can be used to construct the free energy landscape $\Delta G(\boldsymbol{x})$ of a molecular system.…

生物大分子 · 定量生物学 2019-05-30 Matthias Post , Steffen Wolf , Gerhard Stock

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)…

Functional principal component analysis (FPCA) is a key tool in the study of functional data, driving both exploratory analyses and feature construction for use in formal modeling and testing procedures. However, existing methods for FPCA…

统计方法学 · 统计学 2026-03-24 Caitrin Murphy , Eric Laber , Rhonda Merwin , Brian Reich , Jake Koerner

Given a matrix of observed data, Principal Components Analysis (PCA) computes a small number of orthogonal directions that contain most of its variability. Provably accurate solutions for PCA have been in use for a long time. However, to…

机器学习 · 计算机科学 2016-11-01 Namrata Vaswani , Han Guo

Given a matrix of observed data, Principal Components Analysis (PCA) computes a small number of orthogonal directions that contain most of its variability. Provably accurate solutions for PCA have been in use for a long time. However, to…

机器学习 · 计算机科学 2016-11-03 Namrata Vaswani , Han Guo

Principal component analysis (PCA) is a standard dimensionality reduction technique used in various research and applied fields. From an algorithmic point of view, classical PCA can be formulated in terms of operations on a multivariate…

统计方法学 · 统计学 2022-11-08 Ayisha Fayomi , Yannis Pantazis , Michail Tsagris , Andrew T. A. Wood

In this paper, we address the problem of speaker verification in conditions unseen or unknown during development. A standard method for speaker verification consists of extracting speaker embeddings with a deep neural network and processing…

声音 · 计算机科学 2021-08-18 Luciana Ferrer , Mitchell McLaren , Niko Brummer

Multivariate binary data is becoming abundant in current biological research. Logistic principal component analysis (PCA) is one of the commonly used tools to explore the relationships inside a multivariate binary data set by exploiting the…

统计方法学 · 统计学 2020-10-15 Yipeng Song , Johan A. Westerhuis , Age K. Smilde

The success of machine learning models relies heavily on effectively representing high-dimensional data. However, ensuring data representations capture human-understandable concepts remains difficult, often requiring the incorporation of…

机器学习 · 统计学 2024-11-01 Jiayu Su , David A. Knowles , Raul Rabadan

Millions of people suffer from mental health conditions, yet many remain undiagnosed or receive delayed care due to limited clinical resources and labor-intensive assessment methods. While most machine-assisted approaches focus on…

音频与语音处理 · 电气工程与系统科学 2025-11-06 Gowtham Premananth , Philip Resnik , Sonia Bansal , Deanna L. Kelly , Carol Espy-Wilson

The early diagnosis of Alzheimer's Disease (AD) through non invasive methods remains a significant healthcare challenge. We present NeuroXVocal, a novel dual-component system that not only classifies but also explains potential AD cases…

This is a detailed tutorial paper which explains the Principal Component Analysis (PCA), Supervised PCA (SPCA), kernel PCA, and kernel SPCA. We start with projection, PCA with eigen-decomposition, PCA with one and multiple projection…

机器学习 · 统计学 2022-08-03 Benyamin Ghojogh , Mark Crowley

Speech-based assessment of the schizophrenia spectrum has been widely researched over in the recent past. In this study, we develop a deep learning framework to estimate schizophrenia severity scores from speech using a feature fusion…

音频与语音处理 · 电气工程与系统科学 2024-11-21 Gowtham Premananth , Carol Espy-Wilson

The x-vector maps segments of arbitrary duration to vectors of fixed dimension using deep neural network. Combined with the probabilistic linear discriminant analysis (PLDA) backend, the x-vector/PLDA has become the dominant framework in…

音频与语音处理 · 电气工程与系统科学 2020-01-15 Bin Gu , Wu Guo

This paper proposes an innovative extension of Principal Component Analysis (PCA) that transcends the traditional assumption of data lying in Euclidean space, enabling its application to data on Riemannian manifolds. The primary challenge…

机器学习 · 统计学 2025-06-03 Oldemar Rodríguez

In this paper, we propose a novel approach named by Discriminative Principal Component Analysis which is abbreviated as Discriminative PCA in order to enhance separability of PCA by Linear Discriminant Analysis (LDA). The proposed method…

计算机视觉与模式识别 · 计算机科学 2019-03-13 Hanli Qiao

Sparse Principal Component Analysis (PCA) is a prevalent tool across a plethora of subfields of applied statistics. While several results have characterized the recovery error of the principal eigenvectors, these are typically in spectral…

统计理论 · 数学 2022-02-09 Joshua Agterberg , Jeremias Sulam

Understanding protein structure and function is crucial in biology. However, current computational methods are often task-specific and resource-intensive. To address this, we propose zero-shot Protein Question Answering (PQA), a task…

机器学习 · 计算机科学 2024-11-20 Eli M Carrami , Sahand Sharifzadeh

A PCA based sequence-to-vector (seq2vec) dimension reduction method for the text classification problem, called the tree-structured multi-stage principal component analysis (TMPCA) is presented in this paper. Theoretical analysis and…

计算与语言 · 计算机科学 2018-10-12 Yuanhang Su , Ruiyuan Lin , C. -C. Jay Kuo

Principal component analysis (PCA) is widely used for dimensionality reduction, with well-documented merits in various applications involving high-dimensional data, including computer vision, preference measurement, and bioinformatics. In…

机器学习 · 统计学 2013-10-01 Gonzalo Mateos , Georgios B. Giannakis
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