The paper presents randomized tests with explicit query bounds for properties including number of leaves, maximum degree, typical distance, and diameter in tree-structured graphical models.
Estimating sparse precision matrix: Optimal rates of convergence and adaptive estimation.The Annals of Statistics, 44(2):455–488, 2016
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Testing properties of trees in graphical models with covariance queries
The paper presents randomized tests with explicit query bounds for properties including number of leaves, maximum degree, typical distance, and diameter in tree-structured graphical models.