Minimax lower bounds for function estimation on graphs

Open Access
Authors
Publication date 2018
Journal Electronic Journal of Statistics
Volume | Issue number 12 | 1
Pages (from-to) 651-666
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract We study minimax lower bounds for function estimation problems on large graph when the target function is smoothly varying over the graph. We derive minimax rates in the context of regression and classification problems on graphs that satisfy an asymptotic shape assumption and with a smoothness condition on the target function, both formulated in terms of the graph Laplacian.
Document type Article
Language English
Published at https://doi.org/10.1214/18-EJS1407
Other links https://www.scopus.com/pages/publications/85042631905
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