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Multivariate time-dependent data, where multiple features are observed over time for a set of individuals, are increasingly widespread in many application domains. To model these data we need to account for relations among both time…

统计方法学 · 统计学 2021-04-08 Alessandro Casa , Charles Bouveyron , Elena Erosheva , Giovanna Menardi

With rapid development of techniques to measure brain activity and structure, statistical methods for analyzing modern brain-imaging play an important role in the advancement of science. Imaging data that measure brain function are usually…

统计方法学 · 统计学 2023-01-05 Haoyi Fu , Lu Tang , Ori Rosen , Alison E. Hipwell , Theodore J. Huppert , Robert T. Krafty

In an industrial context, the activity of sensors is recorded at a high frequency. A challenge is to automatically detect abnormal measurement behavior. Considering the sensor measures as functional data, the problem can be formulated as…

统计理论 · 数学 2022-03-09 Martial Amovin-Assagba , Irène Gannaz , Julien Jacques

Through Ecological Momentary Assessment (EMA) studies, a number of time-series data is collected across multiple individuals, continuously monitoring various items of emotional behavior. Such complex data is commonly analyzed in an…

机器学习 · 计算机科学 2023-10-12 Mandani Ntekouli , Gerasimos Spanakis , Lourens Waldorp , Anne Roefs

In the field of psychopathology, Ecological Momentary Assessment (EMA) methodological advancements have offered new opportunities to collect time-intensive, repeated and intra-individual measurements. This way, a large amount of data has…

机器学习 · 计算机科学 2022-12-05 Mandani Ntekouli , Gerasimos Spanakis , Lourens Waldorp , Anne Roefs

We consider the problem of model-based clustering in the presence of many correlated, mixed continuous and discrete variables, some of which may have missing values. Discrete variables are treated with a latent continuous variable approach…

Clustering techniques are very attractive for extracting and identifying patterns in datasets. However, their application to very large spatial datasets presents numerous challenges such as high-dimensionality data, heterogeneity, and high…

数据库 · 计算机科学 2018-02-27 Malika Bendechache , Nhien-An Le-Khac , M-Tahar Kechadi

Subsequence clustering of multivariate time series is a useful tool for discovering repeated patterns in temporal data. Once these patterns have been discovered, seemingly complicated datasets can be interpreted as a temporal sequence of…

机器学习 · 计算机科学 2018-05-16 David Hallac , Sagar Vare , Stephen Boyd , Jure Leskovec

The input of most clustering algorithms is a symmetric matrix quantifying similarity within data pairs. Such a matrix is here turned into a quadratic set function measuring cluster score or similarity within data subsets larger than pairs.…

离散数学 · 计算机科学 2015-09-30 Giovanni Rossi

Functional data analysis involves data described by regular functions rather than by a finite number of real valued variables. While some robust data analysis methods can be applied directly to the very high dimensional vectors obtained…

机器学习 · 统计学 2012-01-06 Fabrice Rossi , Yves Lechevallier

In climate change study, the infrared spectral signatures of climate change have recently been conceptually adopted, and widely applied to identifying and attributing atmospheric composition change. We propose a Bayesian hierarchical model…

应用统计 · 统计学 2016-04-04 Zhen Zhang , Chae Young Lim , Tapabrata Maiti , Seiji Kato

Functional concurrent, or varying-coefficient, regression models are commonly used in biomedical and clinical settings to investigate how the relation between an outcome and observed covariate varies as a function of another covariate. In…

统计方法学 · 统计学 2024-10-10 Mingrui Liang , Matthew D. Koslovsky , Emily T. Hebert , Darla E. Kendzor , Marina Vannucci

We consider the problem of analyzing the heterogeneity of clustering distributions for multiple groups of observed data, each of which is indexed by a covariate value, and inferring global clusters arising from observations aggregated over…

统计方法学 · 统计学 2012-12-06 XuanLong Nguyen

This paper presents a dynamic linear model for modeling hourly ozone concentrations over the eastern United States. That model, which is developed within an Bayesian hierarchical framework, inherits the important feature of such models that…

应用统计 · 统计学 2007-06-04 Yiping Dou , Nhu D Le , James V Zidek

A validated simulation model primarily requires performing an appropriate input analysis mainly by determining the behavior of real-world processes using probability distributions. In many practical cases, probability distributions of the…

应用统计 · 统计学 2014-03-05 Issac Shams , Saeede Ajorlou , Kai Yang

Multivariate time series forecasting is crucial for various applications, such as financial investment, energy management, weather forecasting, and traffic optimization. However, accurate forecasting is challenging due to two main factors.…

机器学习 · 计算机科学 2025-01-13 Xiangfei Qiu , Xingjian Wu , Yan Lin , Chenjuan Guo , Jilin Hu , Bin Yang

Gene expression data is often collected in time series experiments, under different experimental conditions. There may be genes that have very different gene expression profiles over time, but that adjust their gene expression patterns in…

统计方法学 · 统计学 2021-12-02 Susana Conde , Shahin Tavakoli , Daphne Ezer

In this chapter we review some examples, methods, and recent results involving comparison of clustering properties of point processes. Our approach is founded on some basic observations allowing us to consider void probabilities and moment…

概率论 · 数学 2014-05-23 Bartłomiej Błaszczyszyn , D. Yogeshwaran

In geostatistics, it is common to model spatially distributed phenomena through an underlying stationary and isotropic spatial process. However, these assumptions are often untenable in practice because of the influence of local effects in…

应用统计 · 统计学 2012-02-29 Brian J. Reich , Jo Eidsvik , Michele Guindani , Amy J. Nail , Alexandra M. Schmidt

Many clustering algorithms when the data are curves or functions have been recently proposed. However, the presence of contamination in the sample of curves can influence the performance of most of them. In this work we propose a robust,…