251 citations · 251 across the 4 of their papers we have counts for
4 papers
Clustering Based on Pairwise Distances When the Data is of Mixed Dimensions
Ery Arias-Castro
In the context of clustering, we consider a generative model in a Euclidean ambient space with clusters of different shapes, dimensions, sizes and densities. In an asymptotic setti…
Networks of Polynomial Pieces with Application to the Analysis of Point Clouds and Images
Ery Arias-Castro, Boris Efros, Ofer Levi
We consider Holder smoothness classes of surfaces for which we construct piecewise polynomial approximation networks, which are graphs with polynomial pieces as nodes and edges bet…
Does median filtering truly preserve edges better than linear filtering?
Ery Arias-Castro, David L. Donoho
Image processing researchers commonly assert that "median filtering is better than linear filtering for removing noise in the presence of edges." Using a straightforward large-…
Interpolation of Random Hyperplanes
Ery Arias-Castro
Let {(Z_i,W_i):i=1,...,n} be uniformly distributed in [0,1]^d * G(k,d), where G(k,d) denotes the space of k-dimensional linear subspaces of R^d. For a differentiable function f fro…