报告题目:Lower-order regularization method for group sparse optimization with applications

报告人：胡耀华

报告时间：下午4：10

报告地点：健B104

题目：Lower-order regularization method for group sparse optimization with applications

报告人： 胡耀华  (香港理工大学博士，深圳大学副教授，主要从事最优化理论、算法和应用研究，特别专注于稀疏优化及其应用.)

地点：浙工大屏峰校区健B104 

时间：2018年05月18日  

摘要：  The lower-order regularization problem has been widely studied for finding sparse solutions of linear inverse problems and gained successful applications in various mathematics and applied science fields. In this talk, we will present the lower-order regularization method for (group) sparse optimization problem in three aspects: theory, algorithm and application. In the theoretical aspect, by introducing a notion of restricted eigenvalue condition, we will establish an oracle property and a global recovery bound for the lower-order regularization problem. In the algorithmic aspect, we will apply the well-known proximal gradient method to solve the lower-order regularization problem, and establish its linear convergence rate under a simple assumption. In the aspect of application, we apply the lower-order group sparse regularization method to solve two important problems in systems biology: gene transcriptional regulation and cell fate conversion.