Statistical properties of adversarial training problems: convergence, generalization error, and limit distribution (joint work Dohyun Kwon) In preparation 

Solving the marginal-constrained stochastic inverse problem via optimal transport (joint work with Samopriya Basu) In preparation 

Central limit theorem of Wasserstein projections in convex order (joint work Jaehwan Choi, Dohyun Kwon) In preparation 

Random k-path model (joint work with Shuqi Bi and Hanbaek Lyu) In preparation 

Extension of Coupling via the Projection of Optimal Transport (joint work with Young-heon Kim, Chan Park) Preprint

Stability of Wasserstein projections in convex order via metric extrapolation (joint work with Young-Heon Kim, Andrea Natale) Electronic Communications in Probability

Robust Estimation in metric spaces: Achieving Exponential Concentration with a Frechet Median (joint work with Jiyoung Park and Anirban Bhattacharya) The 28th International Conference on Artificial Intelligence and Statistics (AISTATS)

Optimal sequencing depth for single-cell RNA-sequencing in Wasserstein space (joint work with Geoffrey Schiebinger and Sharvaj Kubal) Annals of Statistics

Statistical inference of convex order by Wasserstein projection (joint work with Young-heon Kim, Yuanlong Ruan and Andrew Warren) Electro

An Optimal Transport Approach for Computing Adversarial Training Lower Bounds in Multiclass Classification (joint work with Nicolas Garcia Trillos, Matt Jacobs and Matt Werenski) Journal of Machine Learning Research

On the existence of solutions to adversarial training in multiclass classification (joint work with Nicolas Garcia Trillos and Matt Jacobs) European Journal of Applied Mathematics

The multimarginal optimal transport formulation of adversarial multiclass classification (joint work with Nicolas Garcia Trillos and Matt Jacobs) Journal of Machine Learning Research