72 citations · 231 across the 61 of their papers we have counts for
5 papers · 2 filters
Statistical Properties of Rectified Flow
Gonzalo Mena, Arun Kumar Kuchibhotla, Larry Wasserman
Rectified flow (Liu et al., 2022; Liu, 2022; Wu et al., 2023) is a method for defining a transport map between two distributions, and enjoys popularity in machine learning, althoug…
Multiply Robust Conformal Risk Control with Coarsened Data
Manit Paul, Arun Kumar Kuchibhotla, Eric J. Tchetgen Tchetgen
Conformal Prediction (CP) has recently received a tremendous amount of interest, leading to a wide range of new theoretical and methodological results for predictive inference with…
Tail Bounds for Canonical -Statistics and -Processes with Unbounded Kernels
Abhishek Chakrabortty, Arun K. Kuchibhotla
In this paper, we prove exponential tail bounds for canonical (or degenerate) -statistics and -processes under exponential-type tail assumptions on the kernels. Most of the e…
Finite sample valid confidence sets of mode
Manit Paul, Arun Kumar Kuchibhotla
Estimating the mode of a unimodal distribution is a classical problem in statistics. Although there are several approaches for point-estimation of mode in the literature, very litt…
Honest Inference for Stochastic Optimization
Kenta Takatsu, Arun Kumar Kuchibhotla
This manuscript studies a general approach to construct confidence sets for the solution of stochastic optimization, rendering empirical risk minimization as special cases. Statist…