33 citations · 64 across the 10 of their papers we have counts for
10 papers
Nonconvex Penalization in Sparse Estimation: An Approach Based on the Bernstein Function
Zhihua Zhang
In this paper we study nonconvex penalization using Bernstein functions whose first-order derivatives are completely monotone. The Bernstein function can induce a class of nonconve…
The Singular Value Decomposition, Applications and Beyond
Zhihua Zhang
The singular value decomposition (SVD) is not only a classical theory in matrix computation and analysis, but also is a powerful tool in machine learning and modern data analysis.…
A Nonconvex Approach for Structured Sparse Learning
Shubao Zhang, Hui Qian, Zhihua Zhang
Sparse learning is an important topic in many areas such as machine learning, statistical estimation, signal processing, etc. Recently, there emerges a growing interest on structur…
The Bernstein Function: A Unifying Framework of Nonconvex Penalization in Sparse Estimation
Zhihua Zhang
In this paper we study nonconvex penalization using Bernstein functions. Since the Bernstein function is concave and nonsmooth at the origin, it can induce a class of nonconvex fun…
The Matrix Ridge Approximation: Algorithms and Applications
Zhihua Zhang
We are concerned with an approximation problem for a symmetric positive semidefinite matrix due to motivation from a class of nonlinear machine learning methods. We discuss an appr…
Kinetic Energy Plus Penalty Functions for Sparse Estimation
Zhihua Zhang, Shibo Zhao, Zebang Shen +1
In this paper we propose and study a family of sparsity-inducing penalty functions. Since the penalty functions are related to the kinetic energy in special relativity, we call the…