# Variational limits of k-NN graph based functionals on data clouds

3 Jul 2016Nicolas Garcia Trillos

This paper studies the large sample asymptotics of data analysis procedures based on the optimization of functionals defined on $k$-NN graphs on point clouds. The paper is framed in the context of minimization of balanced cut functionals, but our techniques, ideas and results can be adapted to other functionals of relevance... (read more)

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