4 papers
A Local Geometric Analysis of Maximal Coding Rate Reduction via Error Bounds
Peng Wang, Po Chen, Huikang Liu +1
While the maximal coding rate reduction (MCR) objective has become a useful principle for learning compact and discriminative representations, a theoretical understanding of it…
A Concentration Inequality for the Covariance Matrix of an Arbitrary Subset of Random Vectors
Huikang Liu, Peng Wang, Laura Balzano
Concentration inequalities for sample covariance matrices are fundamental tools in high-dimensional probability. Classical results typically assume that the selected random vectors…
Symmetric Matrix Completion with ReLU Sampling
Huikang Liu, Peng Wang, Longxiu Huang +2
We study the problem of symmetric positive semi-definite low-rank matrix completion (MC) with deterministic entry-dependent sampling. In particular, we consider rectified linear un…
A Global Geometric Analysis of Maximal Coding Rate Reduction
Peng Wang, Huikang Liu, Druv Pai +4
The maximal coding rate reduction (MCR) objective for learning structured and compact deep representations is drawing increasing attention, especially after its recent usage in…