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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.10950 |
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| _version_ | 1866916713241509888 |
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| author | Kamatsuka, Akira Kazama, Koki Yoshida, Takahiro |
| author_facet | Kamatsuka, Akira Kazama, Koki Yoshida, Takahiro |
| contents | This study presents alternating optimization (AO) algorithms for computing $α$-mutual information ($α$-MI) and $α$-capacity based on variational characterizations of $α$-MI using a reverse channel. Specifically, we derive several variational characterizations of Sibson, Arimoto, Augustin--Csisz{\' a}r, and Lapidoth--Pfister MI and introduce novel AO algorithms for computing $α$-MI and $α$-capacity; their performances for computing $α$-capacity are also compared. The comparison results show that the AO algorithm based on the Sibson MI's characterization has the fastest convergence speed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10950 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Alternating Optimization Approach for Computing $α$-Mutual Information and $α$-Capacity Kamatsuka, Akira Kazama, Koki Yoshida, Takahiro Information Theory This study presents alternating optimization (AO) algorithms for computing $α$-mutual information ($α$-MI) and $α$-capacity based on variational characterizations of $α$-MI using a reverse channel. Specifically, we derive several variational characterizations of Sibson, Arimoto, Augustin--Csisz{\' a}r, and Lapidoth--Pfister MI and introduce novel AO algorithms for computing $α$-MI and $α$-capacity; their performances for computing $α$-capacity are also compared. The comparison results show that the AO algorithm based on the Sibson MI's characterization has the fastest convergence speed. |
| title | Alternating Optimization Approach for Computing $α$-Mutual Information and $α$-Capacity |
| topic | Information Theory |
| url | https://arxiv.org/abs/2404.10950 |