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arXiv 2409.09660stat.ME
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关于预测合成公式的证明

On the Proofs of the Predictive Synthesis Formula

Riku Masuda, Kaoru Irie

AI总结:

针对贝叶斯预测合成的核心预测密度方程缺乏证明的问题,该技术报告回顾相关研究,给出两种证明,填补了已知结果与实际应用方程间的空白,阐明了预测合成的结构。

摘要:

贝叶斯预测合成(Bayesian predictive synthesis)可用于连贯地合成多个预测分布,但其合成预测密度基本方程的证明一直缺失。本技术报告回顾了预测合成领域的系列研究,填补了已知结果与现代应用中所用方程之间的空白,给出了两种证明,并阐明了预测合成的结构。

英文摘要:

Bayesian predictive synthesis is useful in synthesizing multiple predictive distributions coherently. However, the proof for the fundamental equation of the synthesized predictive density has been missing. In this technical report, we review the series of research on predictive synthesis, then fill the gap between the known results and the equation used in modern applications. We provide two proofs and clarify the structure of predictive synthesis.

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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