On the Stability of adversarial multiclass classification (joint work Dohyun Kwon) In preparation 

Inverse problem with the marginal constraint (joint work with Samopriya Basu) In preparation 

Transfer learning via optimal transport (joint work with Young-heon Kim, Chan Park) In preparation 

Central limit theorem of Wasserstein projection In preparation 

Learning low-rank latent mesoscale network structures for function estimation (joint work with Shuqi Bi and Hanbaek Lyu) In preparation 

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

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(to appear)

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

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