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Directed information or its variants are utilized extensively in the characterization of the capacity of channels with memory and feedback, nonanticipative lossy data compression, and their generalizations to networks. In this paper, we derive several functional and topological properties of directed information, defined on general abstract alphabets (complete separable metric spaces), using the topology...
Recently, computing the capacity region of the degraded broadcast channel (DBC) was showed as a nonconvex optimization problem by Calvo et al. There seems to be no efficient method to solve in polynomial time due to the lack of convexity. In other nonconvex optimization problem, however, Kumar et al showed that Arimoto-Blahut type algorithm converges to the global optimum when some conditions hold...
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