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- W3080582632 abstract "Given a graph $G=(V,E)$, suppose we are interested in selecting a sequence of vertices $(x_j)_{j=1}^n$ such that $left{x_1, dots, x_kright}$ is `well-distributed' uniformly in $k$. We describe a greedy algorithm motivated by potential theory and corresponding developments in the continuous setting. The algorithm performs nicely on graphs and may be of use for sampling problems. We can interpret the algorithm as trying to greedily minimize a negative Sobolev norm; we explain why this is related to Wasserstein distance by establishing a purely spectral bound on the Wasserstein distance on graphs that mirrors R. Peyre's estimate in the continuous setting. We illustrate this with many examples and discuss several open problems." @default.
- W3080582632 created "2020-09-01" @default.
- W3080582632 creator A5009312828 @default.
- W3080582632 date "2020-08-25" @default.
- W3080582632 modified "2023-09-27" @default.
- W3080582632 title "Sequences of well-distributed vertices on graphs and spectral bounds on optimal transport" @default.
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