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Sep 12, 2017 at 14:46 history edited Lwins CC BY-SA 3.0
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Sep 12, 2017 at 14:31 history edited Lwins CC BY-SA 3.0
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Sep 10, 2017 at 18:15 history edited Emil Jeřábek CC BY-SA 3.0
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Sep 10, 2017 at 7:32 history edited Lwins CC BY-SA 3.0
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Sep 10, 2017 at 7:25 comment added Lwins To @kodlu. Yes, the function should always have entropy $1$. However, the input need not be binary.
Sep 10, 2017 at 4:03 comment added kodlu Under your expectation constraint [presumably with $\varepsilon<1/2$] do you still restrict the function to have entropy 1? When $x_i$ are i.i.d. uniform and in $\{0,1\}$ the entropy relationship simply corresponds to a balanced function assuming the input vectors are actually discrete over $\{0,1\}.$ It seems that you are interested in binary inputs $x_i$ or $x_i \in [0,1]$? Is this true?
Sep 9, 2017 at 16:19 history edited Lwins CC BY-SA 3.0
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Sep 9, 2017 at 16:13 history asked Lwins CC BY-SA 3.0