490 citations · 3.5k across the 123 of their papers we have counts for
6 papers · 1 filter
Minimax Rates for Homology Inference
Sivaraman Balakrishnan, Alessandro Rinaldo, Don Sheehy +2
Often, high dimensional data lie close to a low-dimensional submanifold and it is of interest to understand the geometry of these submanifolds. The homology groups of a manifold ar…
Random Differential Privacy
Rob Hall, Alessandro Rinaldo, Larry Wasserman
We propose a relaxed privacy definition called {\em random differential privacy} (RDP). Differential privacy requires that adding any new observation to a database will have small…
Adaptive Semisupervised Inference
Martin Azizyan, Aarti Singh, Larry Wasserman
Semisupervised methods inevitably invoke some assumption that links the marginal distribution of the features to the regression function of the label. Most commonly, the cluster or…
Efficient Nonparametric Conformal Prediction Regions
Jing Lei, James Robins, Larry Wasserman
We investigate and extend the conformal prediction method due to Vovk,Gammerman and Shafer (2005) to construct nonparametric prediction regions. These regions have guaranteed distr…
Manifold estimation and singular deconvolution under Hausdorff loss
Christopher R. Genovese, Marco Perone-Pacifico, Isabella Verdinelli +1
We find lower and upper bounds for the risk of estimating a manifold in Hausdorff distance under several models. We also show that there are close connections between manifold esti…
An Unbiased Method of Modeling the Local Peculiar Velocity Field with Type Ia Supernovae
Anja Weyant, Michael Wood-Vasey, Larry Wasserman +1
We apply statistically rigorous methods of nonparametric risk estimation to the problem of inferring the local peculiar velocity field from nearby supernovae (SNIa). We use two non…