Bayesian Inference for Consistent Predictions in Overparameterized Nonlinear Regression

no code implementations • 6 Apr 2024 • Tomoya Wakayama

While recent theoretical studies have shed light on this behavior in linear models or nonlinear classifiers, a comprehensive understanding of overparameterization in nonlinear regression remains lacking.

Bayesian Inference Learning Theory +1

Bayesian Analysis for Over-parameterized Linear Model without Sparsity

no code implementations • 25 May 2023 • Tomoya Wakayama, Masaaki Imaizumi

In the field of high-dimensional Bayesian statistics, a plethora of methodologies have been developed, including various prior distributions that result in parameter sparsity.

Uncertainty Quantification