Why and when can deep-but not shallow-networks avoid the curse of dimensionality: A review

Tomaso A. Poggio, Hrushikesh Mhaskar, Lorenzo Rosasco, Brando Miranda, Qianli Liao. Why and when can deep-but not shallow-networks avoid the curse of dimensionality: A review. Int. J. Autom. Comput., 14(5):503-519, 2017. [doi]

@article{PoggioMRML17,
  title = {Why and when can deep-but not shallow-networks avoid the curse of dimensionality: A review},
  author = {Tomaso A. Poggio and Hrushikesh Mhaskar and Lorenzo Rosasco and Brando Miranda and Qianli Liao},
  year = {2017},
  doi = {10.1007/s11633-017-1054-2},
  url = {https://doi.org/10.1007/s11633-017-1054-2},
  researchr = {https://researchr.org/publication/PoggioMRML17},
  cites = {0},
  citedby = {0},
  journal = {Int. J. Autom. Comput.},
  volume = {14},
  number = {5},
  pages = {503-519},
}