For Markov chains Y to X to Z, the excess minimum risk is bounded by generalized divergence measures with target-dependent sub-Gaussian parameters.
Divergence measures based on the shannon entropy,
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Bounds on the Excess Minimum Risk via Generalized Information Divergence Measures
For Markov chains Y to X to Z, the excess minimum risk is bounded by generalized divergence measures with target-dependent sub-Gaussian parameters.