Gaussian double Markovian models consist of covariance matrices constrained by a pair of graphs specifying zeros simultaneously in the covariance matrix and its inverse. We study the semi-algebraic geometry of these models, in particular their dimension, smoothness and connectedness as well as algebraic and combinatorial properties.

翻译：高斯双马尔可夫模型由协方差矩阵构成，该矩阵受一对图约束，这对图同时指定了协方差矩阵及其逆矩阵中的零元素。我们研究了这些模型的半代数几何，特别是它们的维度、光滑性与连通性，以及代数与组合性质。