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math.ST2024
Distribution-free Measures of Association based on Optimal Transport
Nabarun Deb, Promit Ghosal, Bodhisattva Sen
In this paper we propose and study a class of nonparametric, yet interpretable measures of association between two random vectors and taking values in an…
math.ST2024
Trade-off Between Dependence and Complexity for Nonparametric Learning -- an Empirical Process Approach
Nabarun Deb, Debarghya Mukherjee
Empirical process theory for i.i.d. observations has emerged as a ubiquitous tool for understanding the generalization properties of various statistical problems. However, in many…