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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

Recent works have demonstrated the added value of dynamic amino acid positron emission tomography (PET) for glioma grading and genotyping, biopsy targeting, and recurrence diagnosis. However, most of these studies are exclusively based on…

Supermassive black hole binaries, cosmic strings, relic gravitational waves from inflation, and first order phase transitions in the early universe are expected to contribute to a stochastic background of gravitational waves in the 10^(-9)…

We extend the principal component analysis (PCA) to second-order stationary vector time series in the sense that we seek for a contemporaneous linear transformation for a $p$-variate time series such that the transformed series is segmented…

统计方法学 · 统计学 2018-12-21 Jinyuan Chang , Bin Guo , Qiwei Yao

Big data is transforming our world, revolutionizing operations and analytics everywhere, from financial engineering to biomedical sciences. The complexity of big data often makes dimension reduction techniques necessary before conducting…

统计方法学 · 统计学 2018-01-08 Jianqing Fan , Qiang Sun , Wen-Xin Zhou , Ziwei Zhu

In clinical trials, patients may discontinue treatments prematurely, breaking the initial randomization and, thus, challenging inference. Stakeholders in drug development are generally interested in going beyond the Intention-To-Treat (ITT)…

In a longitudinal metabolomics study, multiple metabolites are measured from several observations at many time points. Interest lies in reducing the dimensionality of such data and in highlighting influential metabolites which change over…

应用统计 · 统计学 2013-12-10 Gift Nyamundanda , Isobel Claire Gormley , Lorraine Brennan

Principal component analysis (PCA) is routinely used in population genetics to assess genetic structure. With chromosomal reference genomes and population-scale whole genome-sequencing becoming increasingly accessible, contemporary studies…

种群与进化 · 定量生物学 2025-01-22 L. Moritz Blumer , Jeffrey M. Good , Richard Durbin

There are a number of well-established methods such as principal components analysis (PCA) for automatically capturing systematic variation due to latent variables in large-scale genomic data. PCA and related methods may directly provide a…

统计方法学 · 统计学 2015-03-05 Neo Christopher Chung , John D. Storey

Test-time adaptation (TTA) adapts the pre-trained models to test distributions during the inference phase exclusively employing unlabeled test data streams, which holds great value for the deployment of models in real-world applications.…

计算机视觉与模式识别 · 计算机科学 2023-10-10 Shuang Li , Longhui Yuan , Binhui Xie , Tao Yang

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) aims at estimating the direction of maximal variability of a high-dimensional dataset. A natural question is: does this task become easier, and estimation more accurate, when we exploit additional…

信息论 · 计算机科学 2014-06-19 Andrea Montanari , Emile Richard

Large-scale pre-trained models (PTMs) such as BERT and GPT have recently achieved great success in Natural Language Processing and Computer Vision domains. However, the development of PTMs on healthcare time-series data is lagging…

机器学习 · 计算机科学 2024-09-10 Ziyang Song , Qincheng Lu , Hao Xu , He Zhu , David L. Buckeridge , Yue Li

High-fidelity modeling of blood flow is crucial for enhancing our understanding of cardiovascular disease. Despite significant advances in computational and experimental characterization of blood flow, the knowledge that we can acquire from…

计算物理 · 物理学 2021-06-08 Amirhossein Arzani , Scott T. M. Dawson

Motivation: Time course data obtained from biological samples subject to specific treatments can be very useful for revealing complex and novel biological phenomena. Although an increasing number of time course microarray datasets becomes…

应用统计 · 统计学 2008-08-27 Wei Wu , Nilesh B. Dave , Naftali Kaminski

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

The past decade has witnessed significant advances in time series modeling with deep learning. While achieving state-of-the-art results, the best-performing architectures vary highly across applications and domains. Meanwhile, for natural…

机器学习 · 计算机科学 2024-04-03 Defu Cao , Furong Jia , Sercan O Arik , Tomas Pfister , Yixiang Zheng , Wen Ye , Yan Liu

The biological processes involved in a drug's mechanisms of action are oftentimes dynamic, complex and difficult to discern. Time-course gene expression data is a rich source of information that can be used to unravel these complex…

机器学习 · 计算机科学 2019-07-30 Cheng Qian , Amin Emad , Nicholas D. Sidiropoulos

Current test-time adaptation (TTA) approaches aim to adapt a machine learning model to environments that change continuously. Yet, it is unclear whether TTA methods can maintain their adaptability over prolonged periods. To answer this…

计算机视觉与模式识别 · 计算机科学 2024-11-05 Trung-Hieu Hoang , Duc Minh Vo , Minh N. Do

Large observational clinical datasets become increasingly available for mining associations between various disease traits and administered therapy. These datasets can be considered as representations of the landscape of all possible…

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