

























Abstract:Matrix-valued time series data are frequently observed in a broad range of areas and have attracted great attention recently. In this work, we model network effects for high dimensional matrix-valued time series data in a matrix autoregression framework. To characterize the potential heterogeneity of the subjects and handle the high dimensionality simultaneously, we assume that each subject has a latent group label, which enables us to cluster the subject into the corresponding row and column groups. We propose a group matrix network autoregression (GMNAR) model, which assumes that the subjects in the same group share the same set of model parameters. To estimate the model, we develop an iterative algorithm. Theoretically, we show that the group-wise parameters and group memberships can be consistently estimated when the group numbers are correctly or possibly over-specified. An information criterion for group number estimation is also provided to consistently select the group numbers. Lastly, we implement the method on a Yelp dataset to illustrate the usefulness of the method.
From: Yimeng Ren [view email]
[v1]
Mon, 5 Dec 2022 09:05:26 UTC (16,691 KB)
[v2]
Sun, 21 Jun 2026 10:51:19 UTC (2,518 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。