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I'm looking for a definition of information that matches up with how we use the word in normal parlance. This definition has to strike some kind of medium betw
by yters 18y ago
I'm looking for a definition of information that matches up with how we use the word in normal parlance. This definition has to strike some kind of medium between incompressible and completely compressible. I could make something up, but I was wondering what the official version is.
- thwarted 18y agoI'm not sure I follow. The definition of "information" I use everyday matches the "official" version -- I'm not sure how it could be different. What is "completely compressible"? Something can not be compressed beyond the shortest string that can represent it without losing information content. http://en.wikipedia.org/wiki/Information#Measuring_information_entropy http://en.wikipedia.org/wiki/Information#Measuring_informati...
- yters 18y agoShannon's information is a measure of the size of a set that an element is selected from, is that right? So a letter conveys log2(26) bits of information. That alone doesn't allow me to discriminate between the information content of a random string and an English sentence, since both supposedly contain the same amount of information by this bare metric. If I look at the occurrence of subsets of the string, then that would be a better discriminator: the random string's subsets should follow a normal distribution while the English string's subsets will be highly skewed. However, that doesn't work when I try to discriminate between an English string and a string generated by a simple algorithm, since the latter's subset distribution will also be highly skewed. What kind of metric discriminates the English sentence from either case? Am I making sense here? I haven't had any formal training in information theory, and my brain is kind of fried right now.