93 citations · 294 across the 27 of their papers we have counts for
3 papers · 1 filter
Topologically penalized regression on manifolds
Olympio Hacquard, Krishnakumar Balasubramanian, Gilles Blanchard +2
We study a regression problem on a compact manifold M. In order to take advantage of the underlying geometry and topology of the data, the regression task is performed on the basis…
Algorithms for ridge estimation with convergence guarantees
Wanli Qiao, Wolfgang Polonik
The extraction of filamentary structure from a point cloud is discussed. The filaments are modeled as ridge lines or higher dimensional ridges of an underlying density. We propose…
Testing For Global Covariate Effects in Dynamic Interaction Event Networks
Alexander Kreiss, Enno Mammen, Wolfgang Polonik
In statistical network analysis it is common to observe so called interaction data. Such data is characterized by actors forming the vertices and interacting along edges of the net…