Last Updated：2025/11/26

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(information theory) The Shannon entropy of a script whose characters are elements of the Cartesian product of the sets of characters of the component scripts.

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joint entropy

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Source Word

joint entropy

Noun

countable uncountable

Japanese Meaning

情報理論における結合エントロピー：各成分スクリプトの文字集合の直積をとることで得られる文字列全体のシャノンエントロピー。

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To measure the uncertainty of paired observations, we modeled the data as a script whose characters are elements of the Cartesian product of the component scripts and calculated the joint entropy.

Google Translation / DeepL Translation

ペアになった観測の不確実性を測るために、データを各構成スクリプトの文字の直積から取られる要素を文字とするスクリプトとしてモデル化し、その結合エントロピーを計算した。

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Sense（1）

If random variables X and Y are mutually independent, then their joint entropy H(X,Y) is just the sum H(X)+H(Y) of its component entropies. If they are not mutually independent, then their joint entropy will be H(X)+H(Y)-I(X;Y) where I(X;Y) is the mutual information of X and Y.

Google Translation / DeepL Translation

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joint entropies

（ plural ）

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joint entropy

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joint entropy

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