Research Interests

• Nonparametric estimation and testing

• Optimal transport and its applications in statistics

• Kernel methods and nearest neighbor graphs

• Generative Modeling

• Network (Ising) models, fluctuations and theory of dependent observations

• Causal inference

Publications and Preprints

• Phase Transition in Nonparametric Minimax Rates for Covariate Shifts on Approximate Manifolds (Preprint).

• Yuyao Wang, Nabarun Deb, Debarghya Mukherjee.

• No-Regret Generative Modeling via Parabolic Monge-Ampère PDE ("Major Revision" requested at the Annals of Statistics ).

• Nabarun Deb, Tengyuan Liang.

• Fluctuations in Random Field Ising models (Preprint).

• Seunghyun Lee, Nabarun Deb, Sumit Mukherjee.

• Distribution-free Measures of Association based on Optimal Transport ("Accepted" at the Indian Journal of Pure Applied Math , special issue in honor of Prof. K. R. Parthasarathy).

• Nabarun Deb, Promit Ghosal, Bodhisattva Sen.

• Trade-off Between Dependence and Complexity for Nonparametric Learning — an Empirical Process Approach (Preprint).

• Nabarun Deb, Debarghya Mukherjee.

• Wasserstein Mirror Gradient Flow as the Limit of the Sinkhorn Algorithm ("Major Revision" requested at the Annals of Probability ).

• Nabarun Deb, Young-Heon Kim, Soumik Pal, Geoffrey Schiebinger.

• Gibbs Measures with Multilinear Forms ("Major Revision" requested at the Annals of Applied Probability).

• Sohom Bhattacharya, Nabarun Deb, Sumit Mukherjee.

• LDP for Inhomogeneous U-Statistics ("Accepted" at the Annals of Applied Probability).

• Sohom Bhattacharya, Nabarun Deb, Sumit Mukherjee.

• Efficiency of Regression (Un)-Adjusted Rosenbaum’s Rank-based Estimator in Randomized Experiments ("Major Revision" requested at Biometrika).

• Aditya Ghosh, Nabarun Deb, Bikram Karmakar, Bodhisattva Sen.

• Rates of Estimation of Optimal Transport Maps using Plug-in Estimators via Barycentric Projections ("Accepted" at Neural Information Processing Systems (NeurIPS) 2021).

• Nabarun Deb, Promit Ghosali>, Bodhisattva Sen.

• Exact Detection Thresholds for Chatterjee’s Correlation ("Accepted" at Bernoulli).

• Arnab Auddy, Nabarun Deb, Sagnik Nandy.

• Pitman Efficiency Lower Bounds for Multivariate Distribution-Free Tests Based on Optimal Transport. ("Major Revision" requested at the Journal of the Royal Statistical Society: Series B).

• Nabarun Deb, Bhaswar B. Bhattacharya, Bodhisattva Sen.

• Kernel Partial Correlation Coefficient -- a Measure of Conditional Dependence ("Accepted" at Journal of Machine Learning Research (JMLR) ). R package (CRAN).
  

• Zhen Huang, Nabarun Deb, Bodhisattva Sen.

• Detecting Structured Signals in Ising Models ("Accepted" at Annals of Appplied Probability).
  

• Nabarun Deb, Rajarshi Mukherjee, Sumit Mukherjee, Ming Yuan.

• Measuring Association on Topological Spaces Using Kernels and Geometric Graphs.
  

• Nabarun Deb, Promit Ghosal, Bodhisattva Sen.

• Fluctuations in Mean-Field Ising Models ("Accepted" at Annals of Appplied Probability).
  

• Nabarun Deb, Sumit Mukherjee.

• Multivariate Rank-based Distribution-free Nonparametric Testing using Measure Transportation ("Accepted" at J. Amer. Statist. Assoc. (JASA)). Associated R codes (GitHub).
  

• Nabarun Deb, Bodhisattva Sen.

• Two-component Mixture Model in the Presence of Covariates ("Accepted" at J. Amer. Statist. Assoc. (JASA)). R package (CRAN).
  

• Nabarun Deb, Sujayam Saha, Adityanand Guntuboyina, Bodhisattva Sen.