3 papers
math.NA2026
Operator splitting for exploiting linear-rate closure in solving infinite ODE hierarchies
Joshua C Chang
We introduce an operator-splitting method for infinite hierarchies of linear ordinary differential equations (ODEs) indexed by nonnegative integers. When the coupling coefficients…
stat.ME2026
A renormalization-group inspired lattice-based framework for piecewise generalized linear models
Joshua C. Chang
We formally introduce a class of models inspired by renormalization group (RG) theory, built on additive hierarchical expansions analogous to those appearing in functional ANOVA an…
stat.ME2026
Perturbative adaptive importance sampling for Bayesian LOO cross-validation
Joshua C Chang, Xiangting Li, Tianyi Su +4
Importance sampling (IS) is an efficient stand-in for model refitting in performing (LOO) cross-validation (CV) on a Bayesian model. IS inverts the Bayesian update for a single obs…