摘要
为了对一般二维隐马尔可夫模型建立严格的形式化定义,在参照低阶二维隐马尔可夫模型定义的基础上,通过对高阶模型进行分析,总结了一般二维隐马尔可夫模型的5个形式化定义,并证明了它们之间的等价性.这些等价性结果有助于加深对二维隐马尔可夫模型本质的理解,为进一步研究提供严格的形式化基础.
In order tO build formal definitions for general Two-dimensional Hidden Markov Models (2-D HMM) and to facilitate their studies in theory and application, this paper summarizes five strict definitions of 2-D HMM with their equivalence proven by high-order cases on low-order ones. These equivalent results are helpful to understand the nature of 2-D HMM and to provide a strict basis of formalization for further research.
出处
《北京工业大学学报》
EI
CAS
CSCD
北大核心
2008年第6期652-657,共6页
Journal of Beijing University of Technology
基金
国家自然科学基金(60775010)
北京市属市管高等学校“中青年骨干教师培养计划”资助项目PHR (IHLB)
关键词
统计方法
马尔可夫过程
等价定义
statistical methods
Markov processes
equivalent definition