4 papers
Derivative estimation by RKHS regularization for learning dynamics from time-series data
Hailong Guo, Haibo Li
Learning the governing equations from time-series data has gained increasing attention due to its potential to extract useful dynamics from real-world data. Despite significant pro…
Projected Newton method for large-scale Bayesian linear inverse problems
Haibo Li
Computing the regularized solution of Bayesian linear inverse problems as well as the corresponding regularization parameter is highly desirable in many applications. This paper pr…
Generalizing the SVD of a matrix under non-standard inner product and its applications to linear ill-posed problems
Haibo Li
The singular value decomposition (SVD) of a matrix is a powerful tool for many matrix computation problems. In this paper, we consider generalizing the standard SVD to analyze and…
Subspace projection regularization for large-scale Bayesian linear inverse problems
Haibo Li
The Bayesian statistical framework provides a systematic approach to enhance the regularization model by incorporating prior information about the desired solution. For the Bayesia…