921 citations · 1.7k across the 59 of their papers we have counts for
6 papers · 1 filter
When does the Tukey median work?
Banghua Zhu, Jiantao Jiao, Jacob Steinhardt
We analyze the performance of the Tukey median estimator under total variation (TV) distance corruptions. Previous results show that under Huber's additive corruption model, the br…
Generalized Resilience and Robust Statistics
Banghua Zhu, Jiantao Jiao, Jacob Steinhardt
Robust statistics traditionally focuses on outliers, or perturbations in total variation distance. However, a dataset could be corrupted in many other ways, such as systematic meas…
Optimal rates of entropy estimation over Lipschitz balls
Yanjun Han, Jiantao Jiao, Tsachy Weissman +1
We consider the problem of minimax estimation of the entropy of a density over Lipschitz balls. Dropping the usual assumption that the density is bounded away from zero, we obtain…
On Estimation of -Norms in Gaussian White Noise Models
Yanjun Han, Jiantao Jiao, Rajarshi Mukherjee
We provide a complete picture of asymptotically minimax estimation of -norms (for any ) of the mean in Gaussian white noise model over Nikolskii-Besov spaces. In this…
Bias Correction with Jackknife, Bootstrap, and Taylor Series
Jiantao Jiao, Yanjun Han
We analyze bias correction methods using jackknife, bootstrap, and Taylor series. We focus on the binomial model, and consider the problem of bias correction for estimating ,…
Minimax Estimation of the Distance
Jiantao Jiao, Yanjun Han, Tsachy Weissman
We consider the problem of estimating the distance between two discrete probability measures and from empirical data in a nonasymptotic and large alphabet setting. Wh…