We define the robustness of a level set homology class of a function f : X R as the magnitude of a perturbation necessary to kill the class. Casting this notion into a group theor...
Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozo...
We study the problem of monotonicity testing over the hypercube. As previously observed in several works, a positive answer to a natural question about routing properties of the hy...
In this paper we reveal a connection between the coefficients of the morphological wavelet transform and complexity measures of dyadic tree representations of level sets. This le...
This paper proposes a guaranteed robust bounded-error distributed estimation algorithm. It may be employed to perform parameter estimation from data collected in a network of wire...
In nonrigid motion analysis, deformation fields are often modeled using splines defined on a control-point grid. Inspired by recent development of meshfree methods, we propose a no...