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- W4366999632 abstract "The error exponent of fixed-length lossy source coding was established by Marton. Ahlswede showed that this exponent can be discontinuous at a rate $R$, depending on the probability distribution $P$ of the given information source and the distortion measure $d(x,y)$. The reason for the discontinuity in the error exponent is that there exists $(d,Delta)$ such that the rate-distortion function $R(Delta|P)$ is neither concave nor quasi-concave with respect to $P$. Arimoto's algorithm for computing the error exponent in lossy source coding is based on Blahut's parametric representation of the error exponent. However, Blahut's parametric representation is a lower convex envelope of Marton's exponent, and the two do not generally agree. The contribution of this paper is to provide a parametric representation that perfectly matches with the inverse function of Marton's exponent, thus avoiding the problem of the rate-distortion function being non-convex with respect to $P$. The optimal distribution for fixed parameters can be obtained using Arimoto's algorithm. Performing a nonconvex optimization over the parameters successfully yields the inverse function of Marton's exponent." @default.
- W4366999632 created "2023-04-27" @default.
- W4366999632 creator A5091260538 @default.
- W4366999632 date "2023-04-23" @default.
- W4366999632 modified "2023-10-18" @default.
- W4366999632 title "Computing the optimal error exponential function for fixed-length lossy coding in discrete memoryless sources" @default.
- W4366999632 doi "https://doi.org/10.48550/arxiv.2304.11558" @default.
- W4366999632 hasPublicationYear "2023" @default.
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