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Double-Parallel Monte Carlo for Bayesian analysis of big data

机译:双行蒙特卡洛贝叶斯大数据分析

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摘要

This paper proposes a simple, practical, and efficient MCMC algorithm for Bayesian analysis of big data. The proposed algorithm suggests to divide the big dataset into some smaller subsets and provides a simple method to aggregate the subset posteriors to approximate the full data posterior. To further speed up computation, the proposed algorithm employs the population stochastic approximation Monte Carlo algorithm, a parallel MCMC algorithm, to simulate from each subset posterior. Since this algorithm consists of two levels of parallel, data parallel and simulation parallel, it is coined as Double-Parallel Monte Carlo. The validity of the proposed algorithm is justified mathematically and numerically.
机译:本文提出了一种简单,实用,高效的MCMC算法,用于大数据的贝叶斯分析。该算法建议将大数据集分为一些较小的子集,并提供了一种简单的方法,可以聚合子集后续到后部的完整数据。为了进一步加速计算,所提出的算法采用群体随机近似蒙特卡罗算法,并行MCMC算法,从每个子集后面模拟。由于该算法包括两个平行,数据并行和模拟并行,因此它被卷入双行蒙特卡罗。所提出的算法的有效性在数学上和数值上致力于。

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