A0920
Title: Integrative regression and factorization of bidimensionally linked matrices
Authors: Eric Lock - University of Minnesota (United States) [presenting]
Abstract: Several modern datasets take the form of bidimensionally linked matrices, in which multiple matrices share rows or columns. For example, multiple molecular omics platforms measured for multiple sample cohorts are increasingly common in biomedical studies. A very flexible factorization of such bidimensionally linked data is proposed, allowing for the simultaneous identification of covariate driven-effects and auxiliary structured variation. The approach provides a decomposition of covariate effects and low-rank structure, each of which may be shared across any row sets (e.g., omics platforms) or column sets (e.g., sample cohorts). A structured nuclear norm penalty is used as an objective function, with penalty parameters chosen by random matrix theory. The objective gives the mode of the posterior distribution for an intuitive Bayesian model. The method is applied to pan-omics pan-cancer data from The Cancer Genome Atlas (TCGA), integrating data from several omics platform-seral cancer types.
