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Appealing to several multivariate information measures---some familiar, some new here---we analyze the information embedded in discrete-valued stochastic time series. We dissect the uncertainty of a single observation to demonstrate how the…

信息论 · 计算机科学 2015-05-28 Ryan G. James , Christopher J. Ellison , James P. Crutchfield

The multivariate regression model basically offers the analysis of a single dataset with multiple responses. However, such a single-dataset analysis often leads to unsatisfactory results. Integrative analysis is an effective method to pool…

统计方法学 · 统计学 2023-04-18 Shuichi Kawano , Toshikazu Fukushima , Junichi Nakagawa , Mamoru Oshiki

In this paper we propose a multivariate ordinal regression model which allows the joint modeling of three-dimensional panel data containing both repeated and multiple measurements for a collection of subjects. This is achieved by a…

统计方法学 · 统计学 2024-02-02 Laura Vana-Gür

Random variables in metric spaces indexed by time and observed at equally spaced time points are receiving increased attention due to their broad applicability. The absence of inherent structure in metric spaces has resulted in a literature…

统计方法学 · 统计学 2024-09-24 Matthieu Bulté , Helle Sørensen

In data science, vector autoregression (VAR) models are popular in modeling multivariate time series in the environmental sciences and other applications. However, these models are computationally complex with the number of parameters…

统计方法学 · 统计学 2022-09-20 Zhihao Hu , Shyam Ranganathan , Yang Shao , Xinwei Deng

Contemporary time series data often feature objects connected by a social network that naturally induces temporal dependence involving connected neighbours. The network vector autoregressive model is useful for describing the influence of…

统计方法学 · 统计学 2023-09-18 Weichi Wu , Chenlei Leng

It is well recognised that animal and plant pathogens form complex ecological communities of interacting organisms within their hosts. Although community ecology approaches have been applied to determine pathogen interactions at the…

Modeling multivariate time series as temporal signals over a (possibly dynamic) graph is an effective representational framework that allows for developing models for time series analysis. In fact, discrete sequences of graphs can be…

机器学习 · 计算机科学 2022-10-11 Ivan Marisca , Andrea Cini , Cesare Alippi

Time series of individual subjects have become a common data type in psychological research. These data allow one to estimate models of within-subject dynamics, and thereby avoid the notorious problem of making within-subjects inferences…

应用统计 · 统计学 2020-03-16 Jonas M B Haslbeck , Laura F Bringmann , Lourens J Waldorp

Because of its relevance to everyday life, the spreading of viral infections has been of central interest in a variety of scientific communities involved in fighting, preventing and theoretically interpreting epidemic processes. Recent…

The paper deals with disorders detection in the multivariate stochastic process. We consider the multidimensional Poisson process or the multivariate renewal process. This class of processes can be used as a description of the distributed…

最优化与控制 · 数学 2021-01-12 Krzysztof J. Szajowski

The availability of geocoded health data and the inherent temporal structure of communicable diseases have led to an increased interest in statistical models and software for spatio-temporal data with epidemic features. The open source R…

统计计算 · 统计学 2017-05-12 Sebastian Meyer , Leonhard Held , Michael Höhle

We introduce a novel, practically relevant variation of the anomaly detection problem in multi-variate time series: intrinsic anomaly detection. It appears in diverse practical scenarios ranging from DevOps to IoT, where we want to…

Irregular multivariate time series with missing values present significant challenges for predictive modeling in domains such as healthcare. While deep learning approaches often focus on temporal interpolation or complex architectures to…

机器学习 · 计算机科学 2026-03-16 Dingyi Nie , Yixing Wu , C. -C. Jay Kuo

Anomaly detection in multivariate time series is an important problem across various fields such as healthcare, financial services, manufacturing or physics detector monitoring. Accurately identifying when unexpected errors or faults occur…

机器学习 · 计算机科学 2025-06-26 Laura Boggia , Rafael Teixeira de Lima , Bogdan Malaescu

The dynamics of time-reversible systems are statistically indistinguishable when observed forward or backward in time. A rich literature of statistical methods to distinguish irreversible dynamics from the reversible dynamics of linear,…

数据分析、统计与概率 · 物理学 2026-04-20 Teresa Dalle Nogare , Ben D. Fulcher

Progression of chronic disease is often manifested by repeated occurrences of disease-related events over time. Delineating the heterogeneity in the risk of such recurrent events can provide valuable scientific insight for guiding…

统计方法学 · 统计学 2018-11-16 Huijuan Ma , Limin Peng , Chiung-Yu Huang , Haoda Fu

Electronic health record (EHR) data is sparse and irregular as it is recorded at irregular time intervals, and different clinical variables are measured at each observation point. In this work, we propose a multi-view features integration…

机器学习 · 计算机科学 2021-01-27 Yurim Lee , Eunji Jun , Heung-Il Suk

The problem of missing values in multivariable time series is a key challenge in many applications such as clinical data mining. Although many imputation methods show their effectiveness in many applications, few of them are designed to…

机器学习 · 计算机科学 2020-03-04 Ye Xue , Diego Klabjan , Yuan Luo

In many scientific problems such as video surveillance, modern genomics, and finance, data are often collected from diverse measurements across time that exhibit time-dependent heterogeneous properties. Thus, it is important to not only…

机器学习 · 统计学 2022-10-10 Lin Qiu , Vernon M. Chinchilli , Lin Lin