Mutual information bounded by Fisher information

We derive a general upper bound to mutual information in terms of the Fisher information. The bound may be further used to derive a lower bound for the Bayesian quadratic cost. These two provide alternatives to other inequalities in the literature (e.g., the van Trees inequality) that are useful als...

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Bibliographic Details
Main Authors: Wojciech Górecki, Xi Lu, Chiara Macchiavello, Lorenzo Maccone
Format: Article
Language:English
Published: American Physical Society 2025-04-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.7.L022013
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