南方科技大学知识苑(SUSTech KC): AN ASSEMBLY AND DECOMPOSITION APPROACH FOR CONSTRUCTING SEPARABLE MINORIZING FUNCTIONS IN A CLASS OF MM ALGORITHMS

题名	AN ASSEMBLY AND DECOMPOSITION APPROACH FOR CONSTRUCTING SEPARABLE MINORIZING FUNCTIONS IN A CLASS OF MM ALGORITHMS
作者	Tian, Guo-Liang1 ; Huang, Xi-Fen 2; Xu, Jinfeng 3
通讯作者	Tian, Guo-Liang
发表日期	2019-04
DOI	10.5705/ss.202016.0488
发表期刊	STATISTICA SINICA 影响因子和分区
ISSN	1017-0405
EISSN	1996-8507
卷号	29 期号:2页码:961-982
摘要	The minorization-maximization (MM) principle provides a powerful tool for optimization in statistical applications. A challenging and subjective issue in developing an MM algorithm is to construct an appropriate minorizing function. For numerical convenience, our (AD) approach to constructing the minorizing function as the sum of separable univariate functions yields general class of MM algorithms. We employ the assembly technique (A-technique) and the decomposition technique (D-technique). The A-technique introduces a bank of complemental assembly functions which are often the building blocks of various MM algorithms. The D-technique decomposes the objective function into three parts and separately minorizes them. We illustrate the utility of the proposed approach in multiple applications. Numerical experiments demonstrate its advantages.
关键词	Case II interval censored data complemental assembly compound zero-inflated transmission tomography truncation
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	第一 ; 通讯
资助项目	National Natural Science Foundation of China[11771199] ; National Natural Science Foundation of China[71772153] ; National Natural Science Foundation of China[11601524]
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000462741700020
出版者	STATISTICA SINICA
ESI学科分类	MATHEMATICS
来源库	Web of Science
引用统计	被引频次[WOS]：9
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/26135
专题	理学院_数学系工学院_材料科学与工程系
作者单位	1.Southern Univ Sci & Technol, Dept Math, 1088 Xueyuan Rd, Shenzhen, Guangdong, Peoples R China 2.Yunnan Normal Univ, Sch Math, Kunming, Yunnan, Peoples R China 3.Univ Hong Kong, Dept Stat & Actuarial Sci, Pokfulam Rd, Hong Kong, Peoples R China
第一作者单位	数学系
通讯作者单位	数学系
第一作者的第一单位	数学系
推荐引用方式 GB/T 7714	Tian, Guo-Liang,Huang, Xi-Fen,Xu, Jinfeng. AN ASSEMBLY AND DECOMPOSITION APPROACH FOR CONSTRUCTING SEPARABLE MINORIZING FUNCTIONS IN A CLASS OF MM ALGORITHMS[J]. STATISTICA SINICA,2019,29(2):961-982.
APA	Tian, Guo-Liang,Huang, Xi-Fen,&Xu, Jinfeng.(2019).AN ASSEMBLY AND DECOMPOSITION APPROACH FOR CONSTRUCTING SEPARABLE MINORIZING FUNCTIONS IN A CLASS OF MM ALGORITHMS.STATISTICA SINICA,29(2),961-982.
MLA	Tian, Guo-Liang,et al."AN ASSEMBLY AND DECOMPOSITION APPROACH FOR CONSTRUCTING SEPARABLE MINORIZING FUNCTIONS IN A CLASS OF MM ALGORITHMS".STATISTICA SINICA 29.2(2019):961-982.