49 citations · 234 across the 21 of their papers we have counts for
4 papers · 1 filter
Robustness Implies Privacy in Statistical Estimation
Samuel B. Hopkins, Gautam Kamath, Mahbod Majid +1
We study the relationship between adversarial robustness and differential privacy in high-dimensional algorithmic statistics. We give the first black-box reduction from privacy to…
Privacy Induces Robustness: Information-Computation Gaps and Sparse Mean Estimation
Kristian Georgiev, Samuel B. Hopkins
We establish a simple connection between robust and differentially-private algorithms: private mechanisms which perform well with very high probability are automatically robust in…
The Franz-Parisi Criterion and Computational Trade-offs in High Dimensional Statistics
Afonso S. Bandeira, Ahmed El Alaoui, Samuel B. Hopkins +3
Many high-dimensional statistical inference problems are believed to possess inherent computational hardness. Various frameworks have been proposed to give rigorous evidence for su…
A Robust Spectral Algorithm for Overcomplete Tensor Decomposition
Samuel B. Hopkins, Tselil Schramm, Jonathan Shi
We give a spectral algorithm for decomposing overcomplete order-4 tensors, so long as their components satisfy an algebraic non-degeneracy condition that holds for nearly all (all…