The rate-distortion function for deductive sources depends only on their irredundant core, with zero-distortion rate equal to core mass times conditional entropy under closure fidelity.
A theory for semantic channel coding with many-to-one source,
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Semantic rate-distortion theory shows that under closure fidelity the rate-distortion function depends only on the irredundant core, yielding zero-distortion rates strictly below classical entropy and semantic leverage in source-channel coding.
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Rate-Distortion Theory for Deductive Sources under Closure Fidelity
The rate-distortion function for deductive sources depends only on their irredundant core, with zero-distortion rate equal to core mass times conditional entropy under closure fidelity.
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Semantic Rate-Distortion Theory: Deductive Compression and Closure Fidelity
Semantic rate-distortion theory shows that under closure fidelity the rate-distortion function depends only on the irredundant core, yielding zero-distortion rates strictly below classical entropy and semantic leverage in source-channel coding.