Estimation / CONCEPT
Fano Error Bounds after Finite Channels
Finite Fano inversion and Markov data processing give estimator-error floors after arbitrary finite garbling and after explicit row-stochastic channels.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH7
DOCUMENT LINKS1
Markov garbling preserves the pre-channel Fano floor
RELATIONSHIP ATLAS
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Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Coarse-Graining Cannot Add Informationstructural-affinity · Closed
- Counting Hypotheses with Uniform Finite Fanostructural-affinity · Closed
- Estimator-Error Lower Bounds from Finite Fano Inequalitiesstructural-affinity · Closed
- Fano's Method for a Finite Familystructural-affinity · Closed
- Finite Fano with an Arbitrary Observation Referencestructural-affinity · Closed
- Markov Data Processingstructural-affinity · Closed
- Mutual-Information Chain Rulestructural-affinity · Closed
- Positive-Prior Conditional Independencestructural-affinity · Closed
- Prediction Closure Criterionstructural-affinity · Closed
- Symmetry of Finite Mutual Informationstructural-affinity · Closed
Documents & exposition
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