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Bayesian Occam’s Razor Is a Razor of the People

机译:贝叶斯Occam的剃刀是人民的剃刀

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摘要

Occam's razorthe idea that all else being equal, we should pick the simpler hypothesisplays a prominent role in ordinary and scientific inference. But why are simpler hypotheses better? One attractive hypothesis known as Bayesian Occam's razor (BOR) is that more complex hypotheses tend to be more flexiblethey can accommodate a wider range of possible dataand that flexibility is automatically penalized by Bayesian inference. In two experiments, we provide evidence that people's intuitive probabilistic and explanatory judgments follow the prescriptions of BOR. In particular, people's judgments are consistent with the two most distinctive characteristics of BOR: They penalize hypotheses as a function not only of their numbers of free parameters but also as a function of the size of the parameter space, and they penalize those hypotheses even when their parameters can be tuned to fit the data better than comparatively simpler hypotheses.
机译:奥卡姆(Occam)剃刀认为,在所有其他条件都相等的情况下,我们应该选择较简单的假设,在普通和科学推理中起着重要作用。但是,为什么简单的假设更好呢?一种被称为贝叶斯Occam剃刀(BOR)的有吸引力的假设是,更复杂的假设趋于更灵活,它们可以容纳更广泛的可能数据,并且贝叶斯推断会自动损害灵活性。在两个实验中,我们提供了证据,证明人们的直觉概率和解释性判断遵循BOR的规定。特别是,人们的判断与BOR的两个最鲜明的特征相一致:它们不仅根据自由参数的数量对假设进行惩罚,而且还根据参数空间的大小对其进行惩罚,即使在以下情况下,他们也会对这些假设进行惩罚:与相对简单的假设相比,可以调整它们的参数以更好地拟合数据。

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