| MCMC方法在生物逆问题求解中的应用 |
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| 引用本文： | 曹小群,宋君强,张卫民,赵军,张理论.MCMC方法在生物逆问题求解中的应用[J].计算机工程与应用,2011,47(26):219-221. |
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| 作者姓名： | 曹小群 宋君强 张卫民 赵军 张理论 |
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| 作者单位： | 国防科学技术大学 计算机学院，长沙 410073 |
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| 基金项目： | 国家自然科学基金No.40775064~~ |
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| 摘 要： | 提出用马尔科夫链蒙特卡罗（MCMC）方法来求解生物逆问题。导出待求参数分布规律的后验概率密度函数;采用自适应Metropolis算法构造Markov链;然后截取收敛的链序列计算数学期望，成功估计出未知参数。数值实验结果表明，该方法具有很高的估计精度和较好的抗噪声性能。
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| 关 键 词： | 生物逆问题 贝叶斯理论 MCMC方法 |
| 修稿时间： | |
Application of MCMC method for solution of biological inverse problems |
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| CAO Xiaoqun,SONG Junqiang,ZHANG Weimin,ZHAO Jun,ZHANG Lilun.Application of MCMC method for solution of biological inverse problems[J].Computer Engineering and Applications,2011,47(26):219-221. |
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| Authors: | CAO Xiaoqun SONG Junqiang ZHANG Weimin ZHAO Jun ZHANG Lilun |
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| Affiliation: | College of Computer，National University of Defense Technology，Changsha 410073，China |
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| Abstract: | A new method is proposed to solve the biological inverse problem using Markov Chain Monte Carlo(MCMC) method.The posterior probability density function of undetermined parameters is deduced.The adaptive Metropolis algorithm is used to construct the Markov chains.And the converged samples are used to calculate the mathematic expectation.So far,the unknown parameters of biological inverse problems are estimated successfully.The results of numerical experiments show that parameters estimated by the new method ... |
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| Keywords: | biological inverse problem Bayesian theorem Markov Chain Monte Carlo(MCMC)method |
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