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We study the dynamics of matrix-valued time series with observed network structures by proposing a matrix network autoregression model with row and column networks of the subjects. We incorporate covariate information and a low rank…

Methodology · Statistics 2023-02-07 Xuening Zhu , Feifei Wang , Zeng Li , Yanyuan Ma

The paper introduces a new estimation method for the standard linear regression model. The procedure is not driven by the optimisation of any objective function rather, it is a simple weighted average of slopes from observation pairs. The…

Econometrics · Economics 2024-02-27 Felix Chan , Laszlo Matyas

In many applications it is desirable to infer coarse-grained models from observational data. The observed process often corresponds only to a few selected degrees of freedom of a high-dimensional dynamical system with multiple time scales.…

Statistics Theory · Mathematics 2015-05-06 Serafim Kalliadasis , Sebastian Krumscheid , Grigorios A. Pavliotis

We consider the estimation of approximate factor models for time series data, where strong serial and cross-sectional correlations amongst the idiosyncratic component are present. This setting comes up naturally in many applications, but…

Methodology · Statistics 2019-12-10 Jiahe Lin , George Michailidis

In spatio-temporal analysis, we often record data at specific time intervals but with varying spatial locations between these timepoints. We propose a conditional model to analyze such spatio-temporal data that accommodates the dependencies…

Methodology · Statistics 2026-04-03 Subhrajyoty Roy , Soudeep Deb , Sayar Karmakar , Rishideep Roy

A common approach in forecasting problems is to estimate a least-squares regression (or other statistical learning models) from past data, which is then applied to predict future outcomes. An underlying assumption is that the same…

Methodology · Statistics 2022-03-22 Malte Schierholz

Many economic variables feature changes in their conditional mean and volatility, and Time Varying Vector Autoregressive Models are often used to handle such complexity in the data. Unfortunately, when the number of series grows, they…

Econometrics · Economics 2022-01-19 G. Cubadda , S. Grassi , B. Guardabascio

Sensors are the key to environmental monitoring, which impart benefits to smart cities in many aspects, such as providing real-time air quality information to assist human decision-making. However, it is impractical to deploy massive…

Machine Learning · Computer Science 2024-04-24 Junfeng Hu , Yuxuan Liang , Zhencheng Fan , Li Liu , Yifang Yin , Roger Zimmermann

Advancements in information technology have enabled the creation of massive spatial datasets, driving the need for scalable and efficient computational methodologies. While offering viable solutions, centralized frameworks are limited by…

Machine Learning · Statistics 2025-02-11 Jianwei Shi , Sameh Abdulah , Ying Sun , Marc G. Genton

We investigate spatial confounding in the presence of multivariate disease dependence. In the "analysis model perspective" of spatial confounding, adding a spatially dependent random effect can lead to significant variance inflation of the…

Methodology · Statistics 2026-02-13 Kyle Lin Wu , Sudipto Banerjee

We address the inference problem concerning regression coefficients in a classical linear regression model using least squares estimates. The analysis is conducted under circumstances where network dependency exists across units in the…

Methodology · Statistics 2024-04-03 Jing Lei , Kehui Chen , Haeun Moon

Spatial scan statistics are well-known methods for cluster detection and are widely used in epidemiology and medical studies for detecting and evaluating the statistical significance of disease hotspots. For the sake of simplicity, the…

Methodology · Statistics 2019-11-25 Mohamed-Salem Ahmed , Lionel Cucala , Michael Genin

Identifying spatial heterogeneous patterns has attracted a surge of research interest in recent years, due to its important applications in various scientific and engineering fields. In practice the spatially heterogeneous components are…

Methodology · Statistics 2024-05-07 Xin Zhang , Shan Yu , Zhengyuan Zhu , Xin Wang

Uncoupled regression is the problem to learn a model from unlabeled data and the set of target values while the correspondence between them is unknown. Such a situation arises in predicting anonymized targets that involve sensitive…

Machine Learning · Computer Science 2019-06-04 Liyuan Xu , Junya Honda , Gang Niu , Masashi Sugiyama

The paper revisits the $\alpha$--regression framework for compositional data. The model uses a flexible power transformation parameterized by $\alpha$ to interpolate between raw data analysis and log--ratio methods, naturally handling zeros…

Methodology · Statistics 2026-05-14 Michail Tsagris , Yannis Pantazis

Modern data sets, such as those in healthcare and e-commerce, are often derived from many individuals or systems but have insufficient data from each source alone to separately estimate individual, often high-dimensional, model parameters.…

Machine Learning · Computer Science 2024-11-14 Maryann Rui , Thibaut Horel , Munther Dahleh

In regression problems where there is no known true underlying model, conformal prediction methods enable prediction intervals to be constructed without any assumptions on the distribution of the underlying data, except that the training…

Methodology · Statistics 2023-01-31 Wenyu Chen , Kelli-Jean Chun , Rina Foygel Barber

This paper proposes a new approach to fit a linear regression for symbolic internal-valued variables, which improves both the Center Method suggested by Billard and Diday in \cite{BillardDiday2000} and the Center and Range Method suggested…

Methodology · Statistics 2024-01-12 Oldemar Rodriguez

In sparse target inference problems it has been shown that significant gains can be achieved by adaptive sensing using convex criteria. We generalize previous work on adaptive sensing to (a) include multiple classes of targets with…

Information Theory · Computer Science 2014-09-30 Gregory E. Newstadt , Beipeng Mu , Dennis Wei , Jonathan P. How , Alfred O. Hero

Predictive linear and nonlinear models based on kernel machines or deep neural networks have been used to discover dependencies among time series. This paper proposes an efficient nonlinear modeling approach for multiple time series, with a…

Machine Learning · Computer Science 2023-10-02 Kevin Roy , Luis Miguel Lopez-Ramos , Baltasar Beferull-Lozano