Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

By J. Lindenstrauss, David Preiss, J. Tiser. 2012

87 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9e315a0f4ecb593e8283a68b5f4b78caf4449a22

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Joan Bruna
2. Stéphane Mallat

In Mathematical Physics

1. Joan Bruna
2. Stéphane Mallat

Citations in the corpus

• Invariant Scattering Convolution Networks (2013, background): “If Φ is Lipschitz continuous to deformations τ then the Radon-Nykoým property proves that the map which transforms τ into Φxτ is almost everywhere differentiable in the sense of Gateau [22].”
• Scattering Representations for Recognition (2013, methodology): “In that case, thanks to the Radon-Nikodỳm property of Hilbert spaces, SJ admits a Gâteaux differential almost everywhere [LPT12].”
• Invariant Scattering Convolution Networks (2012, background): “If Φ is Lipschitz continuous to deformations τ then the Radon-Nykoým property proves that the map which transforms τ into Φxτ is almost everywhere differentiable in the sense of Gateau [22].”