120 citations · 273 across the 13 of their papers we have counts for
6 papers · 1 filter
Stochastic and Private Nonconvex Outlier-Robust PCA
Tyler Maunu, Chenyu Yu, Gilad Lerman
We develop theoretically guaranteed stochastic methods for outlier-robust PCA. Outlier-robust PCA seeks an underlying low-dimensional linear subspace from a dataset that is corrupt…
Score-based Generative Neural Networks for Large-Scale Optimal Transport
Mara Daniels, Tyler Maunu, Paul Hand
We consider the fundamental problem of sampling the optimal transport coupling between given source and target distributions. In certain cases, the optimal transport plan takes the…
Robust Subspace Recovery with Adversarial Outliers
Tyler Maunu, Gilad Lerman
We study the problem of robust subspace recovery (RSR) in the presence of adversarial outliers. That is, we seek a subspace that contains a large portion of a dataset when some fra…
An Overview of Robust Subspace Recovery
Gilad Lerman, Tyler Maunu
This paper will serve as an introduction to the body of work on robust subspace recovery. Robust subspace recovery involves finding an underlying low-dimensional subspace in a data…
A Well-Tempered Landscape for Non-convex Robust Subspace Recovery
Tyler Maunu, Teng Zhang, Gilad Lerman
We present a mathematical analysis of a non-convex energy landscape for robust subspace recovery. We prove that an underlying subspace is the only stationary point and local minimi…
Fast, Robust and Non-convex Subspace Recovery
Gilad Lerman, Tyler Maunu
This work presents a fast and non-convex algorithm for robust subspace recovery. The data sets considered include inliers drawn around a low-dimensional subspace of a higher dimens…