New Algorithms for Computing Sibson Capacity and Arimoto Capacity

التفاصيل البيبلوغرافية
العنوان: New Algorithms for Computing Sibson Capacity and Arimoto Capacity
المؤلفون: Kamatsuka, Akira, Ishikawa, Yuki, Kazama, Koki, Yoshida, Takahiro
سنة النشر: 2024
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Computer Science - Information Theory
الوصف: The Sibson and Arimoto capacity, which are based on the Sibson and Arimoto mutual information (MI) of order {\alpha}, respectively, are well-known generalizations of the channel capacity C. In this study, we derive novel alternating optimization algorithms for computing these capacities by providing new variational characterizations of the Sibson and Arimoto MI. Moreover, we prove that all iterative algorithms for computing these capacities are equivalent under appropriate conditions imposed on their initial distributions.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2401.14241
رقم الأكسشن: edsarx.2401.14241
قاعدة البيانات: arXiv