2 papers
stat.ML2021
Clustering dynamics on graphs: from spectral clustering to mean shift through Fokker-Planck interpolation
Katy Craig, Nicolás García Trillos, Dejan Slepčev
In this work we build a unifying framework to interpolate between density-driven and geometry-based algorithms for data clustering, and specifically, to connect the mean shift algo…
math.AP2012
Contraction of the proximal map and generalized convexity of the Moreau-Yosida regularization in the 2-Wasserstein metric
Eric A. Carlen, Katy Craig
We investigate the Moreau-Yosida regularization and the associated proximal map in the context of discrete gradient flow for the 2-Wasserstein metric. Our main results are a stepwi…