Entropy / CONCEPT
Conditional Entropy under Completion Factorization
A deterministic completion that factors through another has no more conditional entropy under the same observation.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES5
PROOF DEPTH6
DOCUMENT LINKS1
Deterministic pushforward preserves probability laws
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Actual Finite-Tree Markov Stabilitytruth-dependency · Closed
- Composition Fibers and Fibonacci Genealogical Transporttruth-dependency · Closed
- Labelled Responses and Completion Geometrytruth-dependency · Closed
- Predictive Memory Entropy Lower Boundtruth-dependency · Closed
- Refuting the binary detection threshold conjecturetruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Actual Finite-Tree Markov Stabilitystructural-affinity · Closed
- Actual Tree Readout and Acquisitionstructural-affinity · Closed
- Composition Fibers and Fibonacci Genealogical Transportstructural-affinity · Closed
- Direct four-copy concentration exceeds the proposed boundstructural-affinity · Closed
- Entropy and Capacity under Carrier Forgettingstructural-affinity · Closed
- Entropy Telescoping along Deterministic Trajectoriesstructural-affinity · Closed
- Fusion State Entropystructural-affinity · Closed
- Kullback-Leibler Loss under Deterministic Forgettingstructural-affinity · Closed
- Labelled Responses and Completion Geometrystructural-affinity · Closed
- Marked Prime Word Readout and Deletionstructural-affinity · Closed
- Multi-Target Information Chainstructural-affinity · Closed
- Nonnegativity of Finite Entropystructural-affinity · Closed
- Predictive Memory Entropy Lower Boundstructural-affinity · Closed
- Prime-Power Affine Behaviorstructural-affinity · Closed
- Refuting the binary detection threshold conjecturestructural-affinity · Closed
- Trajectory Law Massstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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