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Generalisation of some overparametrised models

By Stéphane Chrétien

Appears in collection : Learning and Optimization in Luminy - LOL2022 / Apprentissage et Optimisation à Luminy - LOL2022

The statistical problem of estimating a Sobolev function using a deep network is studied using the Neuberger theorem and recent approximation results by Gurhing Kutyniok and Petersen. The problem is addressed by decoupling the statistical and the approximation problems and is shown to boil down to the computation of the Sobolev norm of bump functions.

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  • DOI 10.24350/CIRM.V.19965503
  • Cite this video Chrétien Stéphane (10/4/22). Generalisation of some overparametrised models. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19965503
  • URL https://dx.doi.org/10.24350/CIRM.V.19965503

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