Augustin Information in the Vicinity of Augustin Capacity-Achieving Input Distributions
Year: 2024
Type: conference-paper
Abstract: For channels with finite input and output sets, under mild technical assumptions, the local behavior of the Augustin information as a function of the input distribution is characterized for all positive orders using the implicit function theorem and the characterization of the Augustin information in terms of the Augustin dual. For channels with (potentially multiple) linear constraints, the slowest decrease of Augustin information with increasing distance from the Augustin capacity-achieving input distributions is characterized within small neighborhoods around these distributions for all positive orders.
Authors: Hao-Chung Cheng, Barış Nakiboğlu
Institutions: National Taiwan University, Middle East Technical University
Language: English
Subfield: Computer Networks and Communications
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4405909044