تقرير
A Variational Characterization of $H$-Mutual Information and its Application to Computing $H$-Capacity
| العنوان: | A Variational Characterization of $H$-Mutual Information and its Application to Computing $H$-Capacity |
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| المؤلفون: | Kamatsuka, Akira, Kazama, Koki, Yoshida, Takahiro |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Computer Science - Information Theory |
| الوصف: | $H$-mutual information ($H$-MI) is a wide class of information leakage measures, where $H=(\eta, F)$ is a pair of monotonically increasing function $\eta$ and a concave function $F$, which is a generalization of Shannon entropy. $H$-MI is defined as the difference between the generalized entropy $H$ and its conditional version, including Shannon mutual information (MI), Arimoto MI of order $\alpha$, $g$-leakage, and expected value of sample information. This study presents a variational characterization of $H$-MI via statistical decision theory. Based on the characterization, we propose an alternating optimization algorithm for computing $H$-capacity. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.14304 |
| رقم الأكسشن: | edsarx.2406.14304 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |