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cs.OH2025
Mixed Fractional Information: Consistency of Dissipation Measures for Stable Laws
William Cook
Symmetric alpha-stable (S alpha S) distributions with alpha<2 lack finite classical Fisher information. Building on Johnson's framework, we define Mixed Fractional Information (MFI…
cs.OH2025
Beyond Coordinates: Meta-Equivariance in Statistical Inference
William Cook
Optimal statistical decisions should transcend the language used to describe them. Yet, how do we guarantee that the choice of coordinates - the parameterisation of an optimisation…
cs.OH2025
A Hierarchical Decomposition of Kullback-Leibler Divergence: Disentangling Marginal Mismatches from Statistical Dependencies
William Cook
The Kullback-Leibler (KL) divergence is a foundational measure for comparing probability distributions. Yet in multivariate settings, its single value often obscures the underlying…