On the connection between uniqueness from samples and stability in Gabor phase retrieval [0.03%]
从样本唯一性与Gabor相位重构中的稳定性之间的联系谈起
Rima Alaifari,Francesca Bartolucci,Stefan Steinerberger et al.
Rima Alaifari et al.
Gabor phase retrieval is the problem of reconstructing a signal from only the magnitudes of its Gabor transform. Previous findings suggest a possible link between unique solvability of the discrete problem (recovery from measurements on a l...
Gergely Kiss,Dávid Matolcsi,Máté Matolcsi et al.
Gergely Kiss et al.
We discuss the relation of tiling, weak tiling and spectral sets in finite abelian groups. In particular, in elementary p-groups (Zp)d, we introduce an averaging procedure that leads to a natural object of study: a 4-tuple of functions whic...
Nicolás García Trillos,Ryan Murray,Matthew Thorpe
Nicolás García Trillos
In the (special) smoothing spline problem one considers a variational problem with a quadratic data fidelity penalty and Laplacian regularization. Higher order regularity can be obtained via replacing the Laplacian regulariser with a poly-L...
Embracing off-the-grid samples [0.03%]
拥抱离网样本
Oscar López,Özgür Yılmaz
Oscar López
Many empirical studies suggest that samples of continuous-time signals taken at locations randomly deviated from an equispaced grid (i.e., off-the-grid) can benefit signal acquisition, e.g., undersampling and anti-aliasing. However, explici...
Lukas Köhldorfer,Peter Balazs
Lukas Köhldorfer
Frames have been investigated frequently over the last few decades due to their valuable properties, which are desirable for various applications as well as interesting for theory. Some applications additionally require distributed processi...
PARTITIONING SIGNAL CLASSES USING TRANSPORT TRANSFORMS FOR DATA ANALYSIS AND MACHINE LEARNING [0.03%]
基于传输变换的信号分类划分用于数据分析和机器学习中
Akram Aldroubi,Shiying Li,Gustavo K Rohde
Akram Aldroubi
A relatively new set of transport-based transforms (CDT, R-CDT, LOT) have shown their strength and great potential in various image and data processing tasks such as parametric signal estimation, classification, cancer detection among many ...