Chi-Squared Geometry for Robust Finite-Blocklength Information and Dispersion Analysis
We develop a column-wise chi-squared geometry for discrete memoryless channels (DMCs) yielding tight, logarithm-free bounds on mutual information, channel dispersion, and finite-blocklength coding rates without evaluating logarithms of the channel matrix. The key parameter is~\(\eta\)---the worst-case relative deviatio...