502 citations · 1.8k across the 42 of their papers we have counts for
47 papers
Stable phase retrieval for infinite dimensional subspaces of
Robert Calderbank, Ingrid Daubechies, Daniel Freeman +1
Phase retrieval is known to always be unstable when using a frame or continuous frame for an infinite dimensional Hilbert space. We consider a generalization of phase retrieval to…
Diffusion Maps : Using the Semigroup Property for Parameter Tuning
Shan Shan, Ingrid Daubechies
Diffusion maps (DM) constitute a classic dimension reduction technique, for data lying on or close to a (relatively) low-dimensional manifold embedded in a much larger dimensional…
Mixed X-Ray Image Separation for Artworks with Concealed Designs
Wei Pu, Jun-Jie Huang, Barak Sober +5
In this paper, we focus on X-ray images of paintings with concealed sub-surface designs (e.g., deriving from reuse of the painting support or revision of a composition by the artis…
Neural Network Approximation of Refinable Functions
Ingrid Daubechies, Ronald DeVore, Nadav Dym +6
In the desire to quantify the success of neural networks in deep learning and other applications, there is a great interest in understanding which functions are efficiently approxi…
Image Separation with Side Information: A Connected Auto-Encoders Based Approach
Wei Pu, Barak Sober, Nathan Daly +4
X-radiography (X-ray imaging) is a widely used imaging technique in art investigation. It can provide information about the condition of a painting as well as insights into an arti…
Approximating the Riemannian Metric from Point Clouds via Manifold Moving Least Squares
Barak Sober, Robert Ravier, Ingrid Daubechies
The approximation of both geodesic distances and shortest paths on point cloud sampled from an embedded submanifold of Euclidean space has been a long-standing challe…