3 papers
math.ST2026
Technical Note on Relating Scores of Tilted Distributions
Curtis McDonald
Recent results have shown that for a linear tilt to a reference measure, the scores that would be produced under convolution with a normal variable can be expressed in terms of con…
math.ST2025
Rapid Bayesian Computation and Estimation for Neural Networks via Log-Concave Coupling
Curtis McDonald, Andrew R. Barron
This paper presents the study of a Bayesian estimation procedure for single-hidden-layer neural networks using controlled neuron weight vectors. We study the structure o…
stat.ML2024
Log-Concave Coupling for Sampling Neural Net Posteriors
Curtis McDonald, Andrew R Barron
In this work, we present a sampling algorithm for single hidden layer neural networks. This algorithm is built upon a recursive series of Bayesian posteriors using a method we call…