ConceptDynamics / CONCEPT
Conditional Information and Support Sufficiency
For a finite prior and stochastic target kernel, zero conditional information is equivalent both to conditional independence and to target-kernel constancy on every positive-prior concept fiber.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH7
DOCUMENT LINKS1
Zero conditional information characterizes support sufficiency
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
- Author Information Decompositionstructural-affinity · Closed
- Canonical Conditional Information Submodularitystructural-affinity · Closed
- Canonical Predictive-State Sufficiencystructural-affinity · Closed
- Coarse-Graining Cannot Add Informationstructural-affinity · Closed
- Conditional Mutual Informationstructural-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
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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