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This paper introduces new methodology based on the field of Topological Data Analysis for detecting anomalies in multivariate time series, that aims to detect global changes in the dependency structure between channels. The proposed…

Statistics Theory · Mathematics 2024-06-11 Frédéric Chazal , Martin Royer , Clément Levrard

Supervised topic models can help clinical researchers find interpretable cooccurence patterns in count data that are relevant for diagnostics. However, standard formulations of supervised Latent Dirichlet Allocation have two problems.…

Machine Learning · Statistics 2016-12-07 Michael C. Hughes , Huseyin Melih Elibol , Thomas McCoy , Roy Perlis , Finale Doshi-Velez

An efficient monotone data augmentation (MDA) algorithm is proposed for missing data imputation for incomplete multivariate nonnormal data that may contain variables of different types, and are modeled by a sequence of regression models…

Methodology · Statistics 2018-11-21 Yongqiang Tang

In Small Area Estimation data linkage can be used to combine values of the variableof interest from a national survey with values of auxiliary variables obtained from another source like a population register. Linkage errors can induce bias…

Methodology · Statistics 2019-04-02 Ray Chambers , Enrico Fabrizi , Nicola Salvati

Canonical correlation analysis (CCA) is a fundamental statistical tool for exploring the correlation structure between two sets of random variables. In this paper, motivated by recent success of applying CCA to learn low dimensional…

Statistics Theory · Mathematics 2018-01-23 Zhuang Ma , Xiaodong Li

Stochastic approximation (SA) that involves multiple coupled sequences, known as multiple-sequence SA (MSSA), finds diverse applications in the fields of signal processing and machine learning. However, existing theoretical understandings…

Machine Learning · Computer Science 2024-10-18 Yue Huang , Zhaoxian Wu , Shiqian Ma , Qing Ling

Standard neuroimaging data analysis based on traditional principles of experimental design, modelling, and statistical inference is increasingly complemented by novel analysis methods, driven e.g. by machine learning methods. While these…

Neurons and Cognition · Quantitative Biology 2018-09-27 Kai Görgen , Martin N. Hebart , Carsten Allefeld , John-Dylan Haynes

In Data Science, entities are typically represented by single valued measurements. Symbolic Data Analysis extends this framework to more complex structures, such as intervals and histograms, that express internal variability. We propose an…

Machine Learning · Statistics 2025-12-16 Diogo Pinheiro , M. Rosário Oliveira , Igor Kravchenko , Lina Oliveira

Statistical coupling analysis (SCA) is a method for analyzing multiple sequence alignments that was used to identify groups of coevolving residues termed "sectors". The method applies spectral analysis to a matrix obtained by combining…

Biomolecules · Quantitative Biology 2015-06-19 Tiberiu Tesileanu , Lucy J. Colwell , Stanislas Leibler

Undirected graphical models are a key component in the analysis of complex observational data in a large variety of disciplines. In many of these applications one is interested in estimating the undirected graphical model underlying a…

Applications · Statistics 2015-10-21 Jonas M. B. Haslbeck , Lourens J. Waldorp

Multivariate statistical analysis is concerned with observations on several variables which are thought to possess some degree of inter-dependence. Driven by problems in genetics and the social sciences, it first flowered in the earlier…

Statistics Theory · Mathematics 2007-06-13 Iain M. Johnstone

Studies on distribution, abundance and diversity of species revealed fascinating universalities in macroecology. Many of these patterns, like the species-area and range-abundance relationship or the year-to-year fluctuations in population…

Populations and Evolution · Quantitative Biology 2007-05-23 M. Ravasz , A. Balog , V. Marko , Z. Neda

Quadratic discriminant analysis (QDA) is a widely used classification technique that generalizes the linear discriminant analysis (LDA) classifier to the case of distinct covariance matrices among classes. For the QDA classifier to yield…

Machine Learning · Computer Science 2020-06-26 Houssem Sifaou , Abla Kammoun , Mohamed-Slim Alouini

Semi-supervised domain adaptation (SSDA) aims to achieve high predictive performance in the target domain with limited labeled target data by exploiting abundant source and unlabeled target data. Despite its significance in numerous…

Machine Learning · Statistics 2025-07-22 Wooseok Ha , Yuansi Chen

In the present work we have selected a collection of statistical and mathematical tools useful for the exploration of multivariate data and we present them in a form that is meant to be particularly accessible to a classically trained…

Statistics Theory · Mathematics 2010-09-01 Magnus Fontes

Quadratic discriminant analysis (QDA) is a standard tool for classification due to its simplicity and flexibility. Because the number of its parameters scales quadratically with the number of the variables, QDA is not practical, however,…

Methodology · Statistics 2018-09-06 Binyan Jiang , Xiangyu Wang , Chenlei Leng

Variable importance measures are the main tools to analyze the black-box mechanisms of random forests. Although the mean decrease accuracy (MDA) is widely accepted as the most efficient variable importance measure for random forests, little…

Machine Learning · Statistics 2022-03-02 Clément Bénard , Sébastien da Veiga , Erwan Scornet

Network meta-analysis (NMA) is a technique used in medical statistics to combine evidence from multiple medical trials. NMA defines an inference and information processing problem on a network of treatment options and trials connecting the…

Statistical Mechanics · Physics 2022-11-30 Annabel L. Davies , Tobias Galla

Histogram-valued variables are a particular kind of variables studied in Symbolic Data Analysis where to each entity under analysis corresponds a distribution that may be represented by a histogram or by a quantile function. Linear…

Methodology · Statistics 2013-03-26 Sónia Dias , Paula Brito

Factor analysis provides a canonical framework for imposing lower-dimensional structure such as sparse covariance in high-dimensional data. High-dimensional data on the same set of variables are often collected under different conditions,…

Methodology · Statistics 2024-08-27 Noirrit Kiran Chandra , David B. Dunson , Jason Xu