Research map / Probabilistic and scientific modeling / Dynamical systems
Gaussian Partial Information Decomposition: Bias Correction and Application to High-dimensional Data
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use the additive ~_G-PID rather than δ_G-PID or MMI-PID | PID computation on combined independent Gaussian systems · Canonical Gaussian examples with known ground truth | agreement with ground truth | Helped |
| Restrict the optimization to jointly Gaussian distributions | ~-PID estimation · Canonical Gaussian examples, including dimensionality up to d=128 | agreement with ground truth: less than 10^{-5} | Helped |
| Add finite-sample bias correction (ablation) | ~_G-PID estimates · Bit-of-all and Fully-redundant configurations | closeness to ground-truth PID | Helped |
| Remove finite-sample bias correction (ablation) | ~_G-PID estimates · Bit-of-all and Fully-redundant configurations | closeness to ground-truth PID | Hurt |
| Use a Gaussian covariance-based estimator on Poisson data | ~_G-PID · Simulated multivariate Poisson system | agreement with discrete ~-PID ground truth | Helped |
| Analyze behaviorally relevant image-change flashes rather than non-change flashes | VISl and VISal redundancy about VISp activity · Visual Behavior Neuropixels | redundant information | Helped |
| Analyze image-change flashes rather than non-change flashes | VISl and VISal redundancy about VISp activity · Visual Behavior Neuropixels | redundancy as fraction of total mutual information | Helped |
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