Jing-Bo Liu

TAP Accuracy Below the Fluctuation Scale and Universal Posterior Geometry in Spherical Linear Models

We study the Bayes-optimal spherical linear model as the ambient dimension and sample size grow proportionally, under a quantitative Marchenko--Pastur spectral-regularity condition on the design. This condition is satisfied by normalized i.i.d. designs with standardized entries of finite fourth moment, but does not req...