Showing papers by "Emmanuel J. Candès published in 1999"
01 Sep 1999-Philosophical transactions - Royal Society. Mathematical, physical and engineering sciences
TL;DR: The paper reviews recent work on the continuous ridgelet transform (CRT), ridgelet frames, ridgelet orthonormal bases, ridgelets and edges and describes a new notion of smoothness naturally attached to this new representation.
Abstract: In dimensions two and higher, wavelets can efficiently represent only a small range of the full diversity of interesting behaviour. In effect, wavelets are well adapted for pointlike phenomena, whe...
934 citations
TL;DR: A special admissibility condition for neural activation functions is introduced which requires that the neural activation function be oscillatory and linear transforms are constructed which represent quite general functions f as a superposition of ridge functions.
277 citations