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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.
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A (Hard?) combinatorial optimization problem involving the representation numbers
The trivial upper bound is in some sense best possible. Suppose I choose both partitions to consist of $p/N$ intervals of length $N$, say $[1,N],[N+1,2N],[(p-1)/N,p]$ (with a small error). Now given a …