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Is information geometric, or is it fundamentally topological? Information theory is a big, amorphous, multidisciplinary field which brings together mathematics, engineering, and computer science. It studies information, which typically manifests itself mathematically via various flavours of entropy. Another side of information theory is algorithmic information theory, which centers around notions
As I mentioned in my previous post, I plan to write a series of posts about study of large data sets, both the ways that high dimensional data has traditionally been studied and the topology that has recently been applied to this area. For anyone who has experience thinking about abstract geometric objects (as I assume most of the readers of this blog do) the concepts should seem pretty straightfo
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