ConceptDynamics / CONCEPT
Coarse-Graining Cannot Add Information
Deterministic coarse-graining preserves finite probability laws and cannot increase mutual information.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH7
DOCUMENT LINKS1
Coarse-graining both states cannot add mutual information
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Author Information Decompositionstructural-affinity · Closed
- Canonical Conditional Information Submodularitystructural-affinity · Closed
- Canonical Predictive-State Sufficiencystructural-affinity · Closed
- Conditional-Independent Information Submodularitystructural-affinity · Closed
- Entropy of a Commonly Determined Statestructural-affinity · Closed
- Fano Error Bounds after Finite Channelsstructural-affinity · Closed
- Macroscopic Predictive Efficiency Increasestructural-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
- The Finite Mixture Entropy Bracketstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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