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Time-dependent spatially varying graphical models, with application to brain fMRI data analysis
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Model temporal dependence as an additive component and estimate it directly | Spatial graphical structure estimation · ADHD-200 resting-state fMRI | spatial graph structure | Helped |
| Use the sparse time-varying Kronecker sum model instead of KronPCA | Covariance estimation · Synthetic time-varying random ER graphs | Frobenius norm error | Helped |
| Increase the number of time points | Time-varying Kronecker sum estimator · Synthetic time-varying graphs | estimation performance | Helped |
| Increase temporal correlation parameter rho | Time-varying Kronecker sum estimator · Synthetic time-varying graphs | estimation performance | Hurt |
| Increase the spatial dimension n | Temporal covariance estimator · Synthetic random ER graphs | MCC and covariance estimation errors | Helped |
| Use a wider kernel bandwidth | Time-varying spatial graph estimator · ADHD-200 resting-state fMRI | smoothness of estimated network density over age | Helped |
| Use the additive estimator instead of the non-additive method | Brain connectivity estimation · ADHD-200 resting-state fMRI | detection of age-related network density trend | Helped |
| Misspecify tr(A) in a sophisticated Star-Block topology | Temporal covariance estimator · Synthetic Star-Block covariance | MCC for edge selection | Hurt |
| Misspecify tr(A) in a simple AR(1) topology | Temporal covariance estimator · Synthetic AR(1) covariance | MCC for edge selection | No clear effect |
| Use a narrower kernel bandwidth with fewer subjects | Age-varying brain connectivity estimator · ADHD-200 healthy-only and ADHD-only analyses | smoothness of estimated network density | Hurt |
| Use the proposed method rather than KronPCA | Covariance estimation · Synthetic time-varying random ER graphs | interpretability of graph estimates | Helped |
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