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This is nice, but I could've sworn I saw the exact same diagrams in all the old-school information theory books I originally learned it from. I've drawn the I-d
by knzhou 7y ago
This is nice, but I could've sworn I saw the exact same diagrams in all the old-school information theory books I originally learned it from. I've drawn the I-diagrams the author gives in my notes quite a few times. I'm guessing the point of the paper is that it goes further than that?
- kthielen 7y agoThe paper is from 1991, when was your textbook written?
- mturmon 7y agoThe first place I saw these diagrams is in the first edition of Tom Cover and Joy Thomas's excellent textbook - copyright 1991. But the Venn diagrams are presented in their book as mnemonic tools, and not in terms of entropies of an underlying "I-measure" as in the article. (Of course, the book is an introduction, not in a theorem/proof format.) So you're not sure how far the notions can be extended. The world of information theory was small then, and the author of the paper would have been well-known to both Cover and Thomas.
- knzhou 7y agoAh, I see. I was under the impression the paper was new.