378 citations · 1.2k across the 40 of their papers we have counts for
4 papers · 1 filter
Sparse Representation in Fourier and Local Bases Using ProSparse: A Probabilistic Analysis
Yue M. Lu, Jon Oñativia, Pier Luigi Dragotti
Finding the sparse representation of a signal in an overcomplete dictionary has attracted a lot of attention over the past years. This paper studies ProSparse, a new polynomial com…
Online Learning for Sparse PCA in High Dimensions: Exact Dynamics and Phase Transitions
Chuang Wang, Yue M. Lu
We study the dynamics of an online algorithm for learning a sparse leading eigenvector from samples generated from a spiked covariance model. This algorithm combines the classical…
A Tale of Two Bases: Local-Nonlocal Regularization on Image Patches with Convolution Framelets
Rujie Yin, Tingran Gao, Yue M. Lu +1
We propose an image representation scheme combining the local and nonlocal characterization of patches in an image. Our representation scheme can be shown to be equivalent to a tig…
Understanding Symmetric Smoothing Filters: A Gaussian Mixture Model Perspective
Stanley H. Chan, Todd Zickler, Yue M. Lu
Many patch-based image denoising algorithms can be formulated as applying a smoothing filter to the noisy image. Expressed as matrices, the smoothing filters must be row normalized…