Entropy / CONCEPT
Equality in the Upper Mixture-Entropy Bound
The upper finite mixture-entropy bound is sharp exactly when the positive-weight components have pairwise disjoint supports.
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DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH6
DOCUMENT LINKS1
Upper mixture-entropy equality means disjoint active supports
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Prerequisites
Certified topology / DOWNSTREAM
Consequences
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RELATED KNOWLEDGE
Structural connections
- Commitment Information Upper Boundstructural-affinity · Closed
- Equality and Strict Loss under Deterministic Forgettingstructural-affinity · Closed
- Equality at the Lower Endpoint of Conditional Entropystructural-affinity · Closed
- Finite Time Projection Kernel Antitonicitystructural-affinity · Closed
- Information Cost of Concept Completionstructural-affinity · Closed
- Prediction Stability from Zero Conditional Entropystructural-affinity · Closed
- Readout and Completion Law Compatibilitystructural-affinity · Closed
- The Finite Mixture Entropy Bracketstructural-affinity · Closed
Documents & exposition
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