有限数据的连续概率分布
Continuous Probability Distributions from Finite Data
摘要:
从有限数据集推断连续概率分布的问题的最近方法已经使用了用于先验概率分布形式的标量场理论。这封信提出了一个更一般的形式为先验分布,有一个几何解释,这是有用的剪裁先验分布的需要,每个应用程序。例子证明了这种方法的一些能力,包括这种方法的适用性,多个维度的问题。
英文摘要:
Recent approaches to the problem of inferring a continuous probability distribution from a finite set of data have used a scalar field theory for the form of the prior probability distribution. This letter presents a more general form for the prior distribution that has a geometrical interpretation which is useful for tailoring prior distributions to the needs of each application. Examples are presented that demonstrate some of the capabilities of this approach, including the applicability of this approach to problems of more than one dimension.
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