Journal article
Matrix Schubert varieties and Gaussian conditional independence models
Abstract
Matrix Schubert varieties are certain varieties in the affine space of square matrices which are determined by specifying rank conditions on submatrices. We study these varieties for generic matrices, symmetric matrices, and upper triangular matrices in view of two applications to algebraic statistics: We observe that special conditional independence models for Gaussian random variables are intersections of matrix Schubert varieties in the …
Authors
Fink A; Rajchgot J; Sullivant S
Journal
Journal of Algebraic Combinatorics, Vol. 44, No. 4, pp. 1009–1046
Publisher
Springer Nature
Publication Date
December 2016
DOI
10.1007/s10801-016-0698-2
ISSN
0925-9899