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English words and the outputs of many other natural processes are well-known to follow a Zipf distribution. Yet this thoroughly-established property has never been shown to help compress or predict these important processes. We show that the expected redundancy of Zipf distributions of order α > 1 is roughly the 1/α power of the expected redundancy of unrestricted distributions. Hence for these...
It is generally believed that Zipf's law is well applied for Web objects. However, as OSNs prevail and Internet begins to concentrate more and more on individuals, many researchers report that request frequency of Web objects deviates from Zipf's law notably, especially for UGC (User Generated Content) sites. In this paper, we take the first step to explain it from the perspective of relations between...
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