plmr, an R package for PLoM.
My research interests include uncertainty quantification and machine learning.
Subspace-constrained Mean Shift (SCMS) is an iterative algorithm for non-parametric ridge estimation. Although SCMS is computationally feasible, it is …
When data points exhibit salient geometric structure, density estimation and generative modeling can be more efficient by exploiting the data …
For probability density estimation on Riemannian manifolds, many methods have been proposed, parametric or non-parametric. However, whether they can …
Newton retraction is always stabler and faster than orthographic retraction, aka oblique projection.
A method that generates new data which preserve the geometric structure of a given data set, with applications in inference and data augmentation.
An integrated assessment of risks to coastal community, economy, and the ecosystem due to oil spills in the Gulf of Mexico, using a PLoM surrogate.