作者：Bi, Xuan; Qu, Annie; Shen, Xiaotong
作者单位：Yale University; Yunnan University; University of Illinois System; University of Illinois Urbana-Champaign; University of Minnesota System; University of Minnesota Twin Cities
摘要：Recommender systems have been widely adopted by electronic commerce and entertainment industries for individualized prediction and recommendation, which benefit consumers and improve business intelligence. In this article, we propose an innovative method, namely the recommendation engine of multilayers (REM), for tensor recommender systems. The proposed method utilizes the structure of a tensor response to integrate information from multiple modes, and creates an additional layer of nested lat...
作者：Paindaveine, Davy; Van Bever, Germain
作者单位：Universite Libre de Bruxelles; Universite Libre de Bruxelles
摘要：We propose halfspace depth concepts for scatter, concentration and shape matrices. For scatter matrices, our concept is similar to those from Chen, Gao and Ren [Robust covariance and scatter matrix estimation under Huber's contamination model (2018)] and Zhang [J. Multivariate Anal. 82 (2002) 134-165]. Rather than focusing, as in these earlier works, on deepest scatter matrices, we thoroughly investigate the properties of the proposed depth and of the corresponding depth regions. We do so unde...
