activity
20132022
most citedBalayage and Short time Fourier transform frames

3 citations · 3 across the 7 of their papers we have counts for

collaborators

8 papers

cs.LG2022

Analysis of Sparse Subspace Clustering: Experiments and Random Projection

Mehmet F. Demirel, Enrico Au-Yeung

Clustering can be defined as the process of assembling objects into a number of groups whose elements are similar to each other in some manner. As a technique that is used in many…

math.DS2021

Wind-tree model for billiard motion from a signal processing viewpoint

Enrico Au-Yeung, Nick Kreissler

In the Ehrenfest wind tree model, a point particle moves on the plane and collides with randomly placed fixed square obstacles under the usual law of geometric optics. The particle…

math.PR2019

Phase Transition in the Recovery of Rank One Matrices Corrupted by Gaussian Noise

Enrico Au-Yeung, Greg Zanotti

In datasets where the number of parameters is fixed and the number of samples is large, principal component analysis (PCA) is a powerful dimension reduction tool. However, in many…

math.FA2018

Sparse Reconstruction with Multiple Walsh matrices

Enrico Au-Yeung

The problem of how to find a sparse representation of a signal is an important one in applied and computational harmonic analysis. It is closely related to the problem of how to re…

math.FA2013

Generalized Fourier frames in terms of balayage

Enrico Au-Yeung, John J. Benedetto

Based on Beurling's theory of balayage, we develop the theory of non-uniform sampling in the context of the theory of frames for the settings of the Short Time Fourier Transform an…

math.FA2013★ 3 cited

Balayage and Short time Fourier transform frames

Enrico Au-Yeung, John J. Benedetto

Using his formulation of the potential theoretic notion of balayage and his deep results about this idea, Beurling gave sufficient conditions for Fourier frames in terms of balayag…

math.FA2013

Signal recovery and frames that are robust to erasure

Enrico Au-Yeung

We consider finite frames with high redundancy so that if half the terms transmitted from the sender are randomly deleted during transmission, then on average, the receiver can sti…

math.FA2013

Tight frames, partial isometries, and signal reconstruction

Enrico Au-Yeung, Somantika Datta

This article gives a procedure to convert a frame which is not a tight frame into a Parseval frame for the same space, with the requirement that each element in the resulting Parse…