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Theoretical and experimental aspects of information theory and coding theory. This tag covers but is not limited to following branches: information theory, information geometry, optimal transportation theory, coding theory.

3 votes

Do runtimes for P require EXP resources to upper-bound? ... are concrete examples known? (an...

I'm not entirely sure I understand your question, but you may be interested in the Robertson-Seymour Theorem. It shows that any family of graphs satisfying a certain property (being "minor-closed") h …
Noah Stein's user avatar
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10 votes

Existence of unknowable algorithms ?

The Robertson-Seymour graph minor theorem shows that membership in any given minor-closed family of graphs can be checked in polynomial time. It even shows this can be done in $\mathcal{O}(n^3)$ time …
Noah Stein's user avatar
  • 8,501
8 votes

What is the maximum entropy distribution on the natural numbers?

This follows (modulo any minor technical details I haven't checked) from the theory of exponential families. The main result there says that the distribution which maximizes entropy subject to constr …
Noah Stein's user avatar
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