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Longitudinal item response data are common in social science, educational science, and psychology, among other disciplines. Studying the time-varying relationships between items is crucial for educational assessment or designing marketing…

Methodology · Statistics 2021-10-26 Jaewoo Park , Yeseul Jeon , Minsuk Shin , Minjeong Jeon , Ick Hoon Jin

High-dimensional measurements are often correlated which motivates their approximation by factor models. This holds also true when features are engineered via low-dimensional interactions or kernel tricks. This often results in over…

Applications · Statistics 2025-09-03 Xiaonan Zhu , Bingyan Wang , Jianqing Fan

In this paper, We propose a new style panel data factor stochastic volatility model with observable factors and unobservable factors based on the multivariate stochastic volatility model, which is mainly composed of three parts, such as the…

Methodology · Statistics 2019-04-09 Guobin Fang , Huimin Ma , Michelle Xia , Bo Zhang

The main objective of this article is to develop scalable dynamic anomaly detectors when high-fidelity simulators of power systems are at our disposal. On the one hand, mathematical models of these high-fidelity simulators are typically…

Optimization and Control · Mathematics 2020-10-07 Kaikai Pan , Peter Palensky , Peyman Mohajerin Esfahani

Estimating and detecting faults is crucial in ensuring safe and efficient automated systems. In the presence of disturbances, noise or varying system dynamics, such estimation is even more challenging. To address this challenge, this…

Optimization and Control · Mathematics 2021-12-13 Chris van der Ploeg , Emilia Silvas , Nathan van de Wouw , Peyman Mohajerin Esfahani

With the rapid development of more complex robots, Fault Detection and Diagnosis (FDD) becomes increasingly harder. Especially the need for predetermined models and historic data is problematic because they do not encompass the dynamic and…

Robotics · Computer Science 2025-07-03 Johannes Kohl , Georg Muck , Georg Jäger , Sebastian Zug

Sparsity-promoting priors have become increasingly popular over recent years due to an increased number of regression and classification applications involving a large number of predictors. In time series applications where observations are…

Methodology · Statistics 2012-03-02 François Caron , Luke Bornn , Arnaud Doucet

In this paper, we propose a price staleness factor model that accounts for pervasive market friction across assets and incorporates relevant covariates. Using large-panel high-frequency data, we derive the maximum likelihood estimators of…

Statistics Theory · Mathematics 2026-04-07 Xinbing Kong , Bin Wu , Wuyi Ye

In many longitudinal settings, economic theory does not guide practitioners on the type of restrictions that must be imposed to solve the rotational indeterminacy of factor-augmented linear models. We study this problem and offer several…

Econometrics · Economics 2022-03-08 Matthew Harding , Carlos Lamarche , Chris Muris

We consider modeling, inference, and computation for analyzing multivariate binary data. We propose a new model that consists of a low dimensional latent variable component and a sparse graphical component. Our study is motivated by…

Methodology · Statistics 2016-06-30 Yunxiao Chen , Xiaoou Li , Jingchen Liu , Zhiliang Ying

We propose a novel frailty model with change points applying random effects to a Cox proportional hazard model to adjust the heterogeneity between clusters. Because the frailty model includes random effects, the parameters are estimated…

Methodology · Statistics 2023-01-12 Masahiro Kojima , Shunichiro Orihara

Dynamic mode decomposition (DMD) is an efficient tool for decomposing spatio-temporal data into a set of low-dimensional modes, yielding the oscillation frequencies and the growth rates of physically significant modes. In this paper, we…

Dynamical Systems · Mathematics 2023-02-21 Minwoo Lee , Jongho Park

Principal component analysis (PCA) is arguably the most widely used approach for large-dimensional factor analysis. While it is effective when the factors are sufficiently strong, it can be inconsistent when the factors are weak and/or the…

Methodology · Statistics 2025-08-22 Zhongyuan Lyu , Ming Yuan

Statistical learning evolves quickly with more and more sophisticated models proposed to incorporate the complicated data structure from modern scientific and business problems. Varying index coefficient models extend varying coefficient…

Statistics Theory · Mathematics 2019-03-05 Li Jialiang , Lv Jing

This paper investigates the role of high-dimensional information sets in the context of Markov switching models with time varying transition probabilities. Markov switching models are commonly employed in empirical macroeconomic research…

Econometrics · Economics 2019-05-07 Gregor Zens , Maximilian Böck

Factor models are widely applied to the analysis of multivariate data across disparate fields of research. However, modern scientific data are often incomplete, and estimating a factor model from partially observed data can be very…

Methodology · Statistics 2026-02-24 Giuseppe Vinci

The paper proposes a latent variable model for binary data coming from an unobserved heterogeneous population. The heterogeneity is taken into account by replacing the traditional assumption of Gaussian distributed factors by a finite…

Methodology · Statistics 2010-10-13 Silvia Cagnone , Cinzia Viroli

The Massive Parallel Computing (MPC) model gained popularity during the last decade and it is now seen as the standard model for processing large scale data. One significant shortcoming of the model is that it assumes to work on static…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-23 Giuseppe F. Italiano , Silvio Lattanzi , Vahab S. Mirrokni , Nikos Parotsidis

A dynamic factor model with factor series following a VAR$(p)$ model is shown to have a VARMA$(p,p)$ model representation. Reduced-rank structures are identified for the VAR and VMA components of the resulting VARMA model. It is also shown…

Methodology · Statistics 2023-07-20 Shankar Bhamidi , Dhruv Patel , Vladas Pipiras

In this paper we consider estimation of unobserved components in state space models using a dynamic factor approach to incorporate auxiliary information from high-dimensional data sources. We apply the methodology to unemployment estimation…

Econometrics · Economics 2020-02-17 Caterina Schiavoni , Franz Palm , Stephan Smeekes , Jan van den Brakel