Entropy / CONCEPT
Conditional Entropy under Completion Factorization
A deterministic completion that factors through another has no more conditional entropy under the same observation.
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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH6
DOCUMENT LINKS1
A factorized completion has no more conditional entropy
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
- Congruence Kernelstructural-affinity · Closed
- Entropy and Capacity under Carrier Forgettingstructural-affinity · Closed
- Entropy Telescoping along Deterministic Trajectoriesstructural-affinity · Closed
- Fusion State Entropystructural-affinity · Closed
- Information Cost of Concept Completionstructural-affinity · Closed
- Kullback-Leibler Loss under Deterministic Forgettingstructural-affinity · Closed
- Multi-Target Information Chainstructural-affinity · Closed
- Nonnegativity of Finite Entropystructural-affinity · Closed
- Predictive Memory Entropy Lower Boundstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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