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Matt Spike @matspike • 7 ч TAPPING DESPERATELY ON THE SIGN UNTIL MY FINGERS ARE BLOODIED STUMPS : Data processing inequality Add languages Article Talk Read Edit View history Tools From Wikipedia, the free encyclopedia The data processing inequality is an information theoretic concept that 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'.[1] Statement [edit] Let three random variables form the Markov chain X → Y → z, implying that the conditional distribution of z depends only on Y and is conditionally independent of x. Specifically, we have such a Markov chain if the joint probability mass function can be written as p(x, y, z) = p(x)p(y|x)p(z|y) = p(y)p(x|y)p(z|y) In this setting, no processing of Y, deterministic or random, can increase the information that Y contains about X. Using the mutual information, this can be written as : I(X;Y) ≥ I(X; Z), with the equality I(X; Y) = I(X; Z) if and only if I(.X; Y | Z) = 0. That is, Z and Y contain the same information about X, and X → Z → Y also forms a Markov chain.[2] Crémieux @cremieuxrecueil · 12 ч A new paper in Nature found that you cannot, in fact, train Als on Al-generated data and expect them to continue improving 000 000 What happens is actually that the model ...

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