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In this work, the possibility of clustering correlated random variables was examined, both because of their mutual similarity and because of their similarity to the principal components. The k-means algorithm and spectral algorithms were…

机器学习 · 计算机科学 2019-09-10 Zenon Gniazdowski , Dawid Kaliszewski

Methods for analysis of principal components in discrete data have existed for some time under various names such as grade of membership modelling, probabilistic latent semantic analysis, and genotype inference with admixture. In this paper…

机器学习 · 计算机科学 2012-07-19 Wray L. Buntine , Aleks Jakulin

This paper examines in detail the geometric structure of principal component analysis (PCA) by considering in detail the distributions of both unrotated and rotated MNIST digits in the space defined by the lowest order PCA components. Since…

机器学习 · 计算机科学 2025-10-02 David Yevick , Karolina Hutchison

Evaluation of the resistance of implemented cryptographic algorithms against SCA attacks, as well as detecting of SCA leakage sources at an early stage of the design process, is important for an efficient re-design of the implementation.…

密码学与安全 · 计算机科学 2022-01-06 Marcin Aftowicz , Ievgen Kabin , Zoya Dyka , Peter Langendoerfer

Data integration is the problem of combining multiple data groups (studies, cohorts) and/or multiple data views (variables, features). This task is becoming increasingly important in many disciplines due to the prevalence of large and…

统计方法学 · 统计学 2019-11-13 Jonatan Kallus , Patrik Johansson , Sven Nelander , Rebecka Jörnsten

Machine learning (ML) methods have proved to be a very successful tool in physical sciences, especially when applied to experimental data analysis. Artificial intelligence is particularly good at recognizing patterns in high dimensional…

DNA sequencing to identify genetic variants is becoming increasingly valuable in clinical settings. Assessment of variants in such sequencing data is commonly implemented through Bayesian heuristic algorithms. Machine learning has shown…

Principal component analysis (PCA) is fundamental to statistical machine learning. It extracts latent principal factors that contribute to the most variation of the data. When data are stored across multiple machines, however, communication…

统计计算 · 统计学 2018-01-11 Jianqing Fan , Dong Wang , Kaizheng Wang , Ziwei Zhu

Using Australian children as a case study, this paper aims to develop vulnerability indices to characterise the health and well-being of children aged 0-5 years old. The indices are used to identify differences in children's health and…

综合数学 · 数学 2025-09-19 Harriette Phillips , Aiden Price , Kerrie Mengersen

Cluster analysis methods seek to partition a data set into homogeneous subgroups. It is useful in a wide variety of applications, including document processing and modern genetics. Conventional clustering methods are unsupervised, meaning…

统计方法学 · 统计学 2014-07-11 Eric Bair

Multivariate statistical methods are widely used throughout the sciences, including microscopy, however, their utilisation for analysis of electron backscatter diffraction (EBSD) data has not been adequately explored. The basic aim of most…

The ability to monitor the progress of students academic performance is a critical issue to the academic community of higher learning. A system for analyzing students results based on cluster analysis and uses standard statistical…

机器学习 · 计算机科学 2010-02-12 O. J. Oyelade , O. O. Oladipupo , I. C. Obagbuwa

Genetic data are frequently categorical and have complex dependence structures that are not always well understood. For this reason, clustering and classification based on genetic data, while highly relevant, are challenging statistical…

统计方法学 · 统计学 2016-06-13 Gabriela Bettella Cybis , Marcio Valk , Silvia Regina Costa Lopes

Clustering is a popular data mining technique that aims to partition an input space into multiple homogeneous regions. There exist several clustering algorithms in the literature. The performance of a clustering algorithm depends on its…

人机交互 · 计算机科学 2020-08-20 Sudip Poddar , Anirban Mukhopadhyay

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

Data clustering is an approach to seek for structure in sets of complex data, i.e., sets of "objects". The main objective is to identify groups of objects which are similar to each other, e.g., for classification. Here, an introduction to…

数据分析、统计与概率 · 物理学 2016-02-17 Alexander K. Hartmann

Many clustering methods, including k-means, require the user to specify the number of clusters as an input parameter. A variety of methods have been devised to choose the number of clusters automatically, but they often rely on strong…

统计方法学 · 统计学 2017-02-10 Wei Fu , Patrick O. Perry

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)…

A multiple-perspective co-citation analysis method is introduced for characterizing and interpreting the structure and dynamics of co-citation clusters. The method facilitates analytic and sense making tasks by integrating network…

计算机与社会 · 计算机科学 2017-10-24 Chaomei Chen , Fidelia Ibekwe-SanJuan , Jianhua Hou

Microbes are essentially yet convolutedly linked with human lives on the earth. They critically interfere in different physiological processes and thus influence overall health status. Studying microbial species is used to be constrained to…

基因组学 · 定量生物学 2021-09-03 Chao Yang , Debajyoti Chowdhury , Zhenmiao Zhang , William K. Cheung , Aiping Lu , Zhao Xiang Bian , Lu Zhang