Bayesian temporal factorization for multidimensional time series prediction

X Chen, L Sun - IEEE Transactions on Pattern Analysis and …, 2021 - ieeexplore.ieee.org
Large-scale and multidimensional spatiotemporal data sets are becoming ubiquitous in
many real-world applications such as monitoring urban traffic and air quality. Making …

Matrix‐variate time series analysis: A brief review and some new developments

RS Tsay - International Statistical Review, 2024 - Wiley Online Library
This paper briefly reviews the recent research in matrix‐variate time series analysis,
discusses some new developments, especially for seasonal time series, and demonstrates …

Factor models for high-dimensional tensor time series

R Chen, D Yang, CH Zhang - Journal of the American Statistical …, 2022 - Taylor & Francis
Large tensor (multi-dimensional array) data routinely appear nowadays in a wide range of
applications, due to modern data collection capabilities. Often such observations are taken …

Statistical inference for high-dimensional matrix-variate factor models

EY Chen, J Fan - Journal of the American Statistical Association, 2023 - Taylor & Francis
This article considers the estimation and inference of the low-rank components in high-
dimensional matrix-variate factor models, where each dimension of the matrix-variates (p× …

Real-time forecasting of metro origin-destination matrices with high-order weighted dynamic mode decomposition

Z Cheng, M Trépanier, L Sun - Transportation science, 2022 - pubsonline.informs.org
Forecasting short-term ridership of different origin-destination pairs (ie, OD matrix) is crucial
to the real-time operation of a metro system. However, this problem is notoriously difficult …

Modelling matrix time series via a tensor CP-decomposition

J Chang, J He, L Yang, Q Yao - Journal of the Royal Statistical …, 2023 - academic.oup.com
We consider to model matrix time series based on a tensor canonical polyadic (CP)-
decomposition. Instead of using an iterative algorithm which is the standard practice for …

Rank determination in tensor factor model

Y Han, R Chen, CH Zhang - Electronic Journal of Statistics, 2022 - projecteuclid.org
Factor model is an appealing and effective analytic tool for high-dimensional time series,
with a wide range of applications in economics, finance and statistics. This paper develops …

Constrained stochastic nonconvex optimization with state-dependent Markov data

A Roy, K Balasubramanian… - Advances in neural …, 2022 - proceedings.neurips.cc
We study stochastic optimization algorithms for constrained nonconvex stochastic
optimization problems with Markovian data. In particular, we focus on the case when the …

On a matrix‐valued autoregressive model

SY Samadi, L Billard - Journal of Time Series Analysis, 2025 - Wiley Online Library
Many data sets in biology, medicine, and other biostatistical areas deal with matrix‐valued
time series. The case of a single univariate time series is very well developed in the …

One-way or two-way factor model for matrix sequences?

Y He, X Kong, L Trapani, L Yu - Journal of Econometrics, 2023 - Elsevier
This paper investigates the issue of determining the dimensions of row and column factor
spaces in matrix-valued data. Exploiting the eigen-gap in the spectrum of sample second …