502 citations · 1.8k across the 42 of their papers we have counts for
11 papers · 1 filter
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…
Constructing curvelet-like bases and low-redundancy frames
Wei Zhu, Ingrid Daubechies
We provide a detailed analysis of the obstruction (studied first by S. Durand and later by R. Yin and one of us) in the construction of multidirectional wavelet orthonormal bases c…
Recursive Diffeomorphism-Based Regression for Shape Functions
Jieren Xu, Haizhao Yang, Ingrid Daubechies
This paper proposes a recursive diffeomorphism based regression method for one-dimensional generalized mode decomposition problem that aims at extracting generalized modes $α_k(t)s…
An Iteratively Reweighted Least Squares Algorithm for Sparse Regularization
Sergey Voronin, Ingrid Daubechies
We present a new algorithm and the corresponding convergence analysis for the regularization of linear inverse problems with sparsity constraints, applied to a new generalized spar…
Proceedings of the second "international Traveling Workshop on Interactions between Sparse models and Technology" (iTWIST'14)
L. Jacques, C. De Vleeschouwer, Y. Boursier +64
The implicit objective of the biennial "international - Traveling Workshop on Interactions between Sparse models and Technology" (iTWIST) is to foster collaboration between interna…
Algorithms to automatically quantify the geometric similarity of anatomical surfaces
D. Boyer, Y. Lipman, E. St. Clair +5
We describe new approaches for distances between pairs of 2-dimensional surfaces (embedded in 3-dimensional space) that use local structures and global information contained in int…
Conformal Wasserstein Distance: II. Computational Aspects and Extensions
Yaron Lipman, Jesus Puente, Ingrid Daubechies
This paper is a companion paper to [Lipman and Daubechies 2011]. We provide numerical procedures and algorithms for computing the alignment of and distance between two disk type su…
Synchrosqueezed Wavelet Transforms: a Tool for Empirical Mode Decomposition
Ingrid Daubechies, Jianfeng Lu, Hau-Tieng Wu
The EMD algorithm, first proposed in [11], made more robust as well as more versatile in [12], is a technique that aims to decompose into their building blocks functions that are t…
Surface Comparison with Mass Transportation
Y. Lipman, I. Daubechies
We use mass-transportation as a tool to compare surfaces (2-manifolds). In particular, we determine the "similarity" of two given surfaces by solving a mass-transportation problem…
Iteratively re-weighted least squares minimization for sparse recovery
Ingrid Daubechies, Ronald DeVore, Massimo Fornasier +1
We analyze an Iteratively Re-weighted Least Squares (IRLS) algorithm for promoting l1-minimization in sparse and compressible vector recovery. We prove its convergence and we estim…
Accelerated Projected Gradient Method for Linear Inverse Problems with Sparsity Constraints
I. Daubechies, M. Fornasier, I. Loris
Regularization of ill-posed linear inverse problems via penalization has been proposed for cases where the solution is known to be (almost) sparse. One way to obtain the m…