3 papers
stat.ML2026
Copula Transformations for Data-Consistent Inversion
Troy Butler, Tianyi Jiang, João Silva +2
Data-consistent inversion (DCI) constructs probability measures whose push-forward distributions agree with observed data, while iterative data-consistent inversion (iDCI) extends…
math.ST2026
Wasserstein convergence rates for empirical measures of point processes
Dongzhou Huang, Tianyi Jiang, Haonan Wang
In this paper, we establish upper and lower bounds on the convergence rate of empirical measures of point processes under the Wasserstein distance. To this end, we first introduce…
math.OC2026
Iterative Data-Consistent Inversion with Multiple Push-forward Constraints
Tianyi Jiang, Troy Butler, Timothy Wildey +2
A foundational challenge in uncertainty quantification involves estimating a probability measure on the space of uncertain parameters such that its push-forward through a computati…