# Clustering dynamics on graphs: from spectral clustering to mean shift through Fokker-Planck interpolation

@article{Craig2021ClusteringDO, title={Clustering dynamics on graphs: from spectral clustering to mean shift through Fokker-Planck interpolation}, author={Katy Craig and Nicol{\'a}s Garc{\'i}a Trillos and Dejan Slep{\vc}ev}, journal={ArXiv}, year={2021}, volume={abs/2108.08687} }

A BSTRACT . 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 algorithm with spectral clustering at discrete and continuum levels. We seek this connection through the introduction of Fokker-Planck equations on data graphs. Besides introducing new forms of mean shift algorithms on graphs, we provide new theoretical insights on the behavior of the family of diffusion maps…

## One Citation

### On a Class of Nonlocal Continuity Equations on Graphs

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. Motivated by applications in data science, we study partial diﬀerential equations on graphs. By a classical ﬁxed-point argument, we show existence and uniqueness of solutions to a class of nonlocal…

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