Kernel interpolation in Sobolev spaces is not consistent in low dimensions

Simon Buchholz. Kernel interpolation in Sobolev spaces is not consistent in low dimensions. In Po-Ling Loh, Maxim Raginsky, editors, Conference on Learning Theory, 2-5 July 2022, London, UK. Volume 178 of Proceedings of Machine Learning Research, pages 3410-3440, PMLR, 2022. [doi]

@inproceedings{Buchholz22,
  title = {Kernel interpolation in Sobolev spaces is not consistent in low dimensions},
  author = {Simon Buchholz},
  year = {2022},
  url = {https://proceedings.mlr.press/v178/buchholz22a.html},
  researchr = {https://researchr.org/publication/Buchholz22},
  cites = {0},
  citedby = {0},
  pages = {3410-3440},
  booktitle = {Conference on Learning Theory, 2-5 July 2022, London, UK},
  editor = {Po-Ling Loh and Maxim Raginsky},
  volume = {178},
  series = {Proceedings of Machine Learning Research},
  publisher = {PMLR},
}