A New Algorithm for Computing $\alpha$-Capacity
<|reference_start|>A New Algorithm for Computing $\alpha$-Capacity: The problem of computing $\alpha$-capacity for $\alpha>1$ is equivalent to that of computing the correct decoding exponent. Various algorithms for computing them have been proposed, such as Arimoto and Jitsumatsu--Oohama algorithm. In this study, we propose a novel alternating optimization algorithm for computing the $\alpha$-capacity for $\alpha>1$ based on a variational characterization of the Augustin--Csisz{\'a}r mutual information. A comparison of the convergence performance of these algorithms is demonstrated through numerical examples.<|reference_end|>
@article{kamatsuka2024a,
    title={A New Algorithm for Computing $\alpha$-Capacity},
    author={Akira Kamatsuka, Koki Kazama, Takahiro Yoshida},
    journal={arXiv preprint arXiv:2405.07368},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.07368},
    primaryClass={cs.IT math.IT}
}