Varentropy Decreases Under the Polar Transform
نویسندگان
چکیده
منابع مشابه
Variance of Entropy Decreases Under the Polar Transform
We consider the behavior of entropy of data elements as they are operated on by polar transforms. The data elements under consideration are pairs (X,Y ) where X is a binary random variable and Y is some side information about X . The entropy random variable for such a data element is defined as h(X|Y ) = − log pX|Y (X|Y ). The variance of entropy (varentropy) is defined as Var(h(X|Y )). A polar...
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2016
ISSN: 0018-9448,1557-9654
DOI: 10.1109/tit.2016.2555841