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This paper compares and evaluates a set of non-parametric mutual informationestimators with the goal of providing a novel toolset to progress in theanalysis of the capacity of the nonlinear optical channel, which is currentlyan open problem. In the first part of the paper, the methods of the study arepresented. The second part details their application to severaloptically-related channels to highlight their features.

Non-parametric Estimation of Mutual Information with Application to Nonlinear Optical Fibers