Information Theory: Coding Theorems for Discrete Memoryless Systems
Information Theory: Coding Theorems for Discrete Memoryless Systems
IEEE Transactions on Information Theory
The lossy one-helper conjecture is false
Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
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We provide new achievable error exponents for the problem of source coding with full side information at the decoder. In some instances our exponent strictly improves upon the previous applicable results of Csiszár; Oohama and Han; and the "expurgated" exponent of Csiszár and Körner. Our improvement follows from studying the growth rate of the chromatic number of strong (and) product graphs via a new information-theoretic functional on a graph. We also give an upper bound on Witsenhausen's rate, i.e. the zero error rate for the problem of source coding with full side information at the decoder. An application of our functional to zero-error channel capacity is also given.