کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10328148 | 681636 | 2005 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Quasi-Monte Carlo sampling to improve the efficiency of Monte Carlo EM
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Quasi-Monte Carlo sampling to improve the efficiency of Monte Carlo EM Quasi-Monte Carlo sampling to improve the efficiency of Monte Carlo EM](/preview/png/10328148.png)
چکیده انگلیسی
In this paper we investigate an efficient implementation of the Monte Carlo EM algorithm based on Quasi-Monte Carlo sampling. The Monte Carlo EM algorithm is a stochastic version of the deterministic EM (Expectation-Maximization) algorithm in which an intractable E-step is replaced by a Monte Carlo approximation. Quasi-Monte Carlo methods produce deterministic sequences of points that can significantly improve the accuracy of Monte Carlo approximations over purely random sampling. One drawback to deterministic quasi-Monte Carlo methods is that it is generally difficult to determine the magnitude of the approximation error. However, in order to implement the Monte Carlo EM algorithm in an automated way, the ability to measure this error is fundamental. Recent developments of randomized quasi-Monte Carlo methods can overcome this drawback. We investigate the implementation of an automated, data-driven Monte Carlo EM algorithm based on randomized quasi-Monte Carlo methods. We apply this algorithm to a geostatistical model of online purchases and find that it can significantly decrease the total simulation effort, thus showing great potential for improving upon the efficiency of the classical Monte Carlo EM algorithm.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computational Statistics & Data Analysis - Volume 48, Issue 4, 1 April 2005, Pages 685-701
Journal: Computational Statistics & Data Analysis - Volume 48, Issue 4, 1 April 2005, Pages 685-701
نویسندگان
Wolfgang Jank,