35 citations · 41 across the 4 of their papers we have counts for
5 papers
Optimization and Optimizers for Adversarial Robustness
Hengyue Liang, Buyun Liang, Le Peng +3
Empirical robustness evaluation (RE) of deep learning models against adversarial perturbations entails solving nontrivial constrained optimization problems. Existing numerical algo…
Robust Autoencoders for Collective Corruption Removal
Taihui Li, Hengkang Wang, Peng Le +2
Robust PCA is a standard tool for learning a linear subspace in the presence of sparse corruption or rare outliers. What about robustly learning manifolds that are more realistic m…
Subgradient Descent Learns Orthogonal Dictionaries
Yu Bai, Qijia Jiang, Ju Sun
This paper concerns dictionary learning, i.e., sparse coding, a fundamental representation learning problem. We show that a subgradient descent algorithm, with random initializatio…
Dictionary Learning in Fourier Transform Scanning Tunneling Spectroscopy
Sky C. Cheung, John Y. Shin, Yenson Lau +5
Modern high-resolution microscopes, such as the scanning tunneling microscope, are commonly used to study specimens that have dense and aperiodic spatial structure. Extracting mean…
Closed-Form Solutions to A Category of Nuclear Norm Minimization Problems
Guangcan Liu, Ju Sun, Shuicheng Yan
It is an efficient and effective strategy to utilize the nuclear norm approximation to learn low-rank matrices, which arise frequently in machine learning and computer vision. So t…