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Gaussian Partial Information Decomposition: Bias Correction and Application to High-dimensional Data

NeurIPS 2023 · Probabilistic and scientific modeling › Dynamical systems · approach: Functional connectivity modeling · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the additive ~_G-PID rather than δ_G-PID or MMI-PIDPID computation on combined independent Gaussian systems · Canonical Gaussian examples with known ground truthagreement with ground truthHelped
Restrict the optimization to jointly Gaussian distributions~-PID estimation · Canonical Gaussian examples, including dimensionality up to d=128agreement with ground truth: less than 10^{-5}Helped
Add finite-sample bias correction (ablation)~_G-PID estimates · Bit-of-all and Fully-redundant configurationscloseness to ground-truth PIDHelped
Remove finite-sample bias correction (ablation)~_G-PID estimates · Bit-of-all and Fully-redundant configurationscloseness to ground-truth PIDHurt
Use a Gaussian covariance-based estimator on Poisson data~_G-PID · Simulated multivariate Poisson systemagreement with discrete ~-PID ground truthHelped
Analyze behaviorally relevant image-change flashes rather than non-change flashesVISl and VISal redundancy about VISp activity · Visual Behavior Neuropixelsredundant informationHelped
Analyze image-change flashes rather than non-change flashesVISl and VISal redundancy about VISp activity · Visual Behavior Neuropixelsredundancy as fraction of total mutual informationHelped

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