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rate-distortion function

The fewest bits per source symbol needed to reconstruct it within a given amount of allowed error (distortion).

For a source $X\sim p(x)$ and distortion measure $d$ , the rate-distortion function is the smallest achievable rate $R(D) = \min I(X;\hat X)$ over reconstruction schemes $p(\hat x\mid x)$ with expected distortion $E[d(X,\hat X)]\leq D$ .

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