数学系Seminar第1433期 高维结构化数据的优化算法

创建时间:  2017/05/03  龚惠英   浏览次数:   返回

报告主题:高维结构化数据的优化算法
报告人:陶少哲  博士生  (美国明尼苏达大学)
报告时间:2017年5月10日(周三)14:00
报告地点:校本部G508
邀请人:白延琴
主办部门:8455新葡萄场网站数学系  
报告摘要:The talk will present my recent work in optimization methods for solving structured high dimension problems. In first part of the talk, we show all common first-order method, such as ISTA, FISTA, ADMM, coordinate descent, exhibit local linear convergence for LASSO problem. Using a spectral analysis, we show that, when close enough to the solution, FISTA slows down compared to ISTA, making it advantageous to switch to ISTA towards the end. In the second part, we propose a novel estimator for inverse covariance matrix with group structure. The problem can be efficiently solved via Frank-Wolfe method, leveraging chordal sparsity for scalability. Numerical results on synthetic and real datasets show significant improvement in sample complexity and performance.


 欢迎教师、学生参加 ! 

上一条:数学系Seminar第1434期 複合樑自然頻率的上界理論近似方法

下一条:8455新葡萄场网站“当代科学前沿讲坛”第237讲 探究物质的最基本结构—从中微子和正负电子对撞谈起


数学系Seminar第1433期 高维结构化数据的优化算法

创建时间:  2017/05/03  龚惠英   浏览次数:   返回

报告主题:高维结构化数据的优化算法
报告人:陶少哲  博士生  (美国明尼苏达大学)
报告时间:2017年5月10日(周三)14:00
报告地点:校本部G508
邀请人:白延琴
主办部门:8455新葡萄场网站数学系  
报告摘要:The talk will present my recent work in optimization methods for solving structured high dimension problems. In first part of the talk, we show all common first-order method, such as ISTA, FISTA, ADMM, coordinate descent, exhibit local linear convergence for LASSO problem. Using a spectral analysis, we show that, when close enough to the solution, FISTA slows down compared to ISTA, making it advantageous to switch to ISTA towards the end. In the second part, we propose a novel estimator for inverse covariance matrix with group structure. The problem can be efficiently solved via Frank-Wolfe method, leveraging chordal sparsity for scalability. Numerical results on synthetic and real datasets show significant improvement in sample complexity and performance.


 欢迎教师、学生参加 ! 

上一条:数学系Seminar第1434期 複合樑自然頻率的上界理論近似方法

下一条:8455新葡萄场网站“当代科学前沿讲坛”第237讲 探究物质的最基本结构—从中微子和正负电子对撞谈起