4 problems

Let $\eta^\mathbf y_\beta$ denote the finite-dimensional non-Gaussian measure arising in the decomposition of the conditioned Gaussian measure, with observation data $\mathbf y$ an…

A skewed posterior approximation may replace the Gaussian density in the symmetric component with a density obtained by extending the Laplace method to fourth order. Fourth-order s…

Higher-order derivative conjecture. Bounds on higher-order derivatives would also suffice in place of the imposed bound on the second derivative.

Gaussian-prior conjecture. The use of a Gaussian prior will lead to a degradation of the convergence rate unless the norm of the true coefficients $\beta^*$ is appropriately bounde…