arXivDaily arXiv每日学术速递 周一至周五更新
arXiv physics/0608185physics.data-ancond-mat.stat-mechcs.ITmath.IT
收藏

更新概率

Updating Probabilities

Ariel Caticha, Adom Giffin

摘要:

我们表明,斯基林的归纳法导致一个独特的归纳推理的一般理论,最大相对熵(ME)的方法。更新概率的主要工具是对数相对熵;其他熵,如Renyi或Tsallis的熵被排除在外。我们还表明,贝叶斯更新是ME更新的一个特殊情况,因此,这两个是完全兼容的。

英文摘要:

We show that Skilling's method of induction leads to a unique general theory of inductive inference, the method of Maximum relative Entropy (ME). The main tool for updating probabilities is the logarithmic relative entropy; other entropies such as those of Renyi or Tsallis are ruled out. We also show that Bayes updating is a special case of ME updating and thus, that the two are completely compatible.

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。

↑