4 problems

Consider the rank-one rectangular observation model $\bY$ and the mismatched Bayes estimator $M_{\mathrm{mis}}(\bY)$. Let $\lambda$ and $\lambda_*$ denote the estimation and true s…

Bayes–Unexpectedness correspondence conjecture. Bayes’ rule is a specific instantiation of a more general template captured in ST by Unexpectedness. This conjecture proposes a theo…

Let $\mathbf{QBS}$ be the category of quasi-Borel spaces, and let $\mathbb{P}:\mathbf{QBS}\to\mathbf{QBS}$ denote the probabilistic construction. For objects $A$ and $B$, a morphis…

Consider a higher-order Gaussian generative field of order $bb$, with load $R$, channel capacity $\mathcal{C}(\sigma)$, overlap $m^\star$, and information rate…