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Data processing inequality
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Data processing inequality : ウィキペディア英語版
Data processing inequality
The Data processing inequality is an information theoretic concept which states that the information content of a signal cannot be increased via a local physical operation. This can be expressed concisely as 'post-processing cannot increase information'. As explained by ''Kinney and Atwal'', the DPI means that information is generally lost (never gained) when transmitted through a noisy channel.
==Example==
Let be an Markov chain
X \rightarrow Y \rightarrow Z
Then,
I(x;y) \geqslant I(x;z) with
I(x;y) = I(x;z) if and only if X \rightarrow Z \rightarrow Y
where I(x;y) is the Mutual information

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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