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arXiv 1301.0572cs.AI
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动态贝叶斯网络中近似推理的期望传播

Expectation Propogation for approximate inference in dynamic Bayesian networks

SNN, University of Nijmegen(奈梅亨大学 SNN)

Tom Heskes, Onno Zoeter

摘要:

本文将动态贝叶斯网络中近似推理的期望传播描述为Pearl精确置信传播的自然推广.期望传播是一种贪心算法,在许多实际情况下收敛,但并不总是收敛.我们导出了一个双环算法,保证收敛到Bethe自由能的局部最小值.此外,我们证明了(阻尼)期望传播的稳定不动点对应于这个自由能的局部极小值,我们通过将这些算法应用于切换线性动力系统来说明这些算法,并讨论其意义用于一般贝叶斯网络中的近似推理。

英文摘要:

We describe expectation propagation for approximate inference in dynamic Bayesian networks as a natural extension of Pearl s exact belief propagation.Expectation propagation IS a greedy algorithm, converges IN many practical cases, but NOT always.We derive a DOUBLE - loop algorithm, guaranteed TO converge TO a local minimum OF a Bethe free energy.Furthermore, we show that stable fixed points OF (damped) expectation propagation correspond TO local minima OF this free energy, but that the converse need NOT be the CASE .We illustrate the algorithms BY applying them TO switching linear dynamical systems AND discuss implications FOR approximate inference IN general Bayesian networks.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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