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一些用于贝叶斯推断的自适应蒙特卡罗方法。

Some adaptive monte carlo methods for Bayesian inference.

作者信息

Tierney L, Mira A

机构信息

School of Statistics, University of Minnesota, Minneapolis, MN 55455, USA.

出版信息

Stat Med. 1999;18(17-18):2507-15. doi: 10.1002/(sici)1097-0258(19990915/30)18:17/18<2507::aid-sim272>3.0.co;2-j.

Abstract

Monte Carlo methods, in particular Markov chain Monte Carlo methods, have become increasingly important as a tool for practical Bayesian inference in recent years. A wide range of algorithms is available, and choosing an algorithm that will work well on a specific problem is challenging. It is therefore important to explore the possibility of developing adaptive strategies that choose and adjust the algorithm to a particular context based on information obtained during sampling as well as information provided with the problem. This paper outlines some of the issues in developing adaptive methods and presents some preliminary results.

摘要

近年来,蒙特卡罗方法,特别是马尔可夫链蒙特卡罗方法,作为一种实用的贝叶斯推理工具变得越来越重要。有各种各样的算法可供使用,而选择一种能在特定问题上良好运行的算法具有挑战性。因此,探索开发自适应策略的可能性很重要,这些策略可以根据采样过程中获得的信息以及问题所提供的信息,针对特定情况选择并调整算法。本文概述了开发自适应方法中的一些问题,并给出了一些初步结果。

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