Research map / Learning theory and algorithms / Matrix and tensor methods
Robust Estimation of Tree Structured Gaussian Graphical Models
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Allow unknown independent additive noise on the diagonal, without side information | Tree-structured Gaussian graphical models · Noisy covariance recovery | tree identifiability | Mixed |
| Provide a known upper bound on leaf-node noise below the stated threshold | Tree-structured Gaussian graphical models · Noisy covariance recovery with side information | tree identifiability | Helped |
| Require leaf precision diagonals to exceed the absolute values of their adjacent off-diagonal entries | Tree-structured Gaussian graphical models · Noisy covariance recovery with side information | tree identifiability | Helped |
| Provide a lower bound on the minimum eigenvalue and require neighboring-node noise to be below that bound | Tree-structured Gaussian graphical models · Noisy covariance recovery with side information | tree identifiability | Helped |
| Use off-diagonal covariance relationships to classify four-node sets and recover the equivalence class | LearnClusterTree · Noisy covariance recovery | tree recovery: O(n^3) | Helped |
| Run Chow-Liu directly on the noisy covariance matrix | Chow-Liu · Four-node Markov chain example | recovery of a feasible tree | Hurt |
| Raise leaf-neighbor noise to the stated sufficient lower bound while imposing a minimum-eigenvalue constraint | Tree-structured Gaussian graphical models · Noisy covariance recovery with side information | tree identifiability | Hurt |
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