报告时间：2023年9月8日

               下午3:00-4:00

报告地点：中国人民大学明德主楼1016

报告嘉宾：范新妍

报告主题：Network Varying Coefficient Model

报告摘要

Network Varying Coefficient Model

We propose in this article a novel network varying coefficient model (NVCM) that extends traditional varying coefficient models (VCM) to accommodate network data. Specifically, we model the regression coefficients of network nodes as functions of their latent locations within the latent space, where the latent locations are identified via the notable latent space model of Hoff et al. (2002). To estimate the model with unknown latent locations variables, we develop an iterative projected gradient descent algorithm. The non-asymptotic bounds of the estimated coefficients matrix areobtained theoretically. Practically, the dimension of the latent space is chosen via a Bayesian information criterion (BIC)- type criterion. We further combine our method with a penalization procedure to choose relevant latent variables and derive the related theoretical properties. The utility of the model is further illustrated via simulation studies as well as a real-world application in the field of finance by analyzing the relationship between stock returns and firm characteristics from a network perspective. The results show that the proposed model outperforms most existing methods.

Joint work with Wei Lan and Kuangnan Fang

作者简介

范新妍，2019年厦门大学取得博士学位，现任中国人民大学统计学院副教授。主要研究方向多源数据分析，网络数据分析。研究工作发表在AoAS, JBES, Sinica 等期刊。