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Approximate Bayesian Computation for the Parameters of PRISM Programs

机译:近似贝叶斯计算棱镜计划参数

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Probabilistic logic programming formalisms permit the definition of potentially very complex probability distributions. This complexity can often make learning hard, even when structure is fixed and learning reduces to parameter estimation. In this paper an approximate Bayesian computation (ABC) method is presented which computes approximations to the posterior distribution over PRISM parameters. The key to ABC approaches is that the likelihood function need not be computed, instead a 'distance' between the observed data and synthetic data generated by candidate parameter values is used to drive the learning. This makes ABC highly appropriate for PRISM programs which can have an intractable likelihood function, but from which synthetic data can be readily generated. The algorithm is experimentally shown to work well on an easy problem but further work is required to produce acceptable results on harder ones.
机译:概率逻辑编程形式主义允许潜在非常复杂的概率分布的定义。这种复杂性通常可以努力学习,即使结构是固定的并且学习减少参数估计。在本文中,提出了一种近似的贝叶斯计算(ABC)方法,其计算到棱镜参数的后部分布的近似。 ABC方法的关键是不需要计算似然函数,而是使用候选参数值生成的观察数据和合成数据之间的“距离”来推动学习。这使得ABC非常适合棱镜程序,该程序可以具有难以应变的似然函数,而是可以容易地产生合成数据。该算法实验显示在一个简单的问题上运行良好,但需要进一步的工作来在更难的情况下产生可接受的结果。

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