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On the discrete Fisher information

Keith M. Ball, Barnabás Gárgyán

Source record

Source: arXiv

Published: Oct 13, 2026

arXiv: 2610.19076

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Source abstract

We investigate a discrete analogue of the Fisher information. By using a discrete Laplacian operator, we can construct a discrete analogue of the score function and hence of the information. This provides a natural framework for establishing several information-theoretic inequalities in the discrete setting.

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On the discrete Fisher information — Mathematical Frontier Network