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Robust Estimation of Tree Structured Gaussian Graphical Models

ICML 2019 · Learning theory and algorithms › Matrix and tensor methods · approach: Low-rank approximation theory · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Allow unknown independent additive noise on the diagonal, without side informationTree-structured Gaussian graphical models · Noisy covariance recoverytree identifiabilityMixed
Provide a known upper bound on leaf-node noise below the stated thresholdTree-structured Gaussian graphical models · Noisy covariance recovery with side informationtree identifiabilityHelped
Require leaf precision diagonals to exceed the absolute values of their adjacent off-diagonal entriesTree-structured Gaussian graphical models · Noisy covariance recovery with side informationtree identifiabilityHelped
Provide a lower bound on the minimum eigenvalue and require neighboring-node noise to be below that boundTree-structured Gaussian graphical models · Noisy covariance recovery with side informationtree identifiabilityHelped
Use off-diagonal covariance relationships to classify four-node sets and recover the equivalence classLearnClusterTree · Noisy covariance recoverytree recovery: O(n^3)Helped
Run Chow-Liu directly on the noisy covariance matrixChow-Liu · Four-node Markov chain examplerecovery of a feasible treeHurt
Raise leaf-neighbor noise to the stated sufficient lower bound while imposing a minimum-eigenvalue constraintTree-structured Gaussian graphical models · Noisy covariance recovery with side informationtree identifiabilityHurt

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