9 citations · 28 across the 4 of their papers we have counts for
8 papers
A Geometric Analysis of Neural Collapse with Unconstrained Features
Zhihui Zhu, Tianyu Ding, Jinxin Zhou +4
We provide the first global optimization landscape analysis of -- an intriguing empirical phenomenon that arises in the last-layer classifiers and features of ne…
Finding the Sparsest Vectors in a Subspace: Theory, Algorithms, and Applications
Qing Qu, Zhihui Zhu, Xiao Li +3
The problem of finding the sparsest vector (direction) in a low dimensional subspace can be considered as a homogeneous variant of the sparse recovery problem, which finds applicat…
Analysis of the Optimization Landscapes for Overcomplete Representation Learning
Qing Qu, Yuexiang Zhai, Xiao Li +2
We study nonconvex optimization landscapes for learning overcomplete representations, including learning (i) sparsely used overcomplete dictionaries and (ii) convolutional dictiona…
Weakly Convex Optimization over Stiefel Manifold Using Riemannian Subgradient-Type Methods
Xiao Li, Shixiang Chen, Zengde Deng +3
We consider a class of nonsmooth optimization problems over the Stiefel manifold, in which the objective function is weakly convex in the ambient Euclidean space. Such problems are…
A Nonconvex Approach for Exact and Efficient Multichannel Sparse Blind Deconvolution
Qing Qu, Xiao Li, Zhihui Zhu
We study the multi-channel sparse blind deconvolution (MCS-BD) problem, whose task is to simultaneously recover a kernel and multiple sparse inputs $\{\mathbf x_i\}_{i=…
Dropping Symmetry for Fast Symmetric Nonnegative Matrix Factorization
Zhihui Zhu, Xiao Li, Kai Liu +1
Symmetric nonnegative matrix factorization (NMF), a special but important class of the general NMF, is demonstrated to be useful for data analysis and in particular for various clu…