Data-Driven Estimation of Capacity Upper Bounds. (arXiv:2205.06471v2 [cs.IT] UPDATED)

We consider the problem of estimating an upper bound on the capacity of a
memoryless channel with unknown channel law and continuous output alphabet. A
novel data-driven algorithm is proposed that exploits the dual representation
of capacity where the maximization over the input distribution is replaced with
a minimization over a reference distribution on the channel output. To
efficiently compute the required divergence maximization between the
conditional channel and the reference distribution, we use a modified mutual
information neural estimator …

arxiv capacity data data-driven