Entropy / CONCEPT
Entropy of a Commonly Determined State
A finite state determined by either coordinate has entropy bounded by their mutual information.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH7
DOCUMENT LINKS1
A commonly determined state is controlled by mutual information
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Canonical Predictive-State Sufficiencystructural-affinity · Closed
- Coarse-Graining Cannot Add Informationstructural-affinity · Closed
- Conditional Information Postprocessingstructural-affinity · Closed
- Entropy and Capacity under Carrier Forgettingstructural-affinity · Closed
- Markov Data Processingstructural-affinity · Closed
- Positive-Prior Conditional Independencestructural-affinity · Closed
- Prediction Closure Criterionstructural-affinity · Closed
- Predictive Memory under Deterministic Refinementstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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