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\nHow to find the Least Entropy Solution From the Product of Known Entropy
\nLet's say $H(X)=2\\cdot lg(2)$ and $H(Y)=1\\cdot lg(2)$ where $X$ and $Y$ are two random variables. How can I find the Least Entropy Solution (L.E.S) of the product $H(X\\cdot Y)$.
\nA:
\nAsking how to find the LE solution of a product is essentially asking how to factorize a number. \nIn the case of $H(X \\cdot Y)= 2 \\cdot 1\\cdot lg(2) = 2 \\cdot lg(2) = 2lg(2) = 2 \\cdot H(X)$ \nIt can be seen that the relative entropy of the product of the two random variables is equal to the total entropies of the original random variables. \nSo just as it is the case with division, the product of two (independent) random variables can be written as the product of the factors.
\nAnother useful relation is that for two random variables $H(XY)\n7582aa13b2
\nhttps://documenter.getpostman.com/view/21835367/UzkZStBz https://documenter.getpostman.com/view/21832886/UzkZStC4 https://documenter.getpostman.com/view/21832509/UzkZSt7i https://documenter.getpostman.com/view/21880135/UzkZStC2 https://documenter.getpostman.com/view/21857549/UzkZStBy # Introduction\nWhat does your API do?
\nThings that the developers should know about
\nWhat is the preferred way of using the API?
\nWhat errors and status codes can a user expect?
\nIs there a limit to the number of requests a user can send?
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