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Fisher Width: A Geometric Measure of Complexity on Statistical Manifolds

arXiv cs.LG · 2026-06-18 Cached

Introduces Fisher width, a Riemannian analogue of Gaussian width for statistical manifolds, which captures local statistical curvature and is invariant under reparameterization. The paper develops its theory, proves generalization bounds for Fisher-Lipschitz classes, and demonstrates computable estimators on MNIST.

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