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arXiv 2104.02496cs.CLcs.LGstat.ML

一种对主题-元数据关系进行建模的贝叶斯方法

A Bayesian approach to modeling topic-metadata relationships

Department of Statistics, Ludwig-Maximilians-Universität, Munich, Germany(1 统计系,路德维希-马克西米利安大学,慕尼黑,德国);Department of Political Science, Ludwig-Maximilians-Universität, Munich, Germany(2 政治学系,路德维希-马克西米利安大学,慕尼黑,德国)

P. Schulze, S. Wiegrebe, P. W. Thurner, C. Heumann, M. Aßenmacher

AI总结:

本文提出一种完全贝叶斯方法,通过用 Beta 回归替代线性回归并改进 R 包 stm 的合成法,更准确地量化主题与元数据关系的估计不确定性。

摘要:

高级主题建模的目标不仅是探索潜在的主题结构,还要估计所发现的主题与理论上相关的元数据之间的关系。用于估计此类关系的方法必须考虑到,主题结构并非直接观测到的,而是本身以无监督方式进行估计的,通常由常见的主题模型完成。实现这一目标的常用程序是合成法(method of composition),这是一种蒙特卡洛采样技术,对采样的主题比例与元数据协变量执行多次重复线性回归。本文对该方法提出了两点修改:首先,我们通过用更合适的 Beta 回归替代线性回归,实质性地改进了 R 包 stm 中合成法的现有实现;其次,通过用完全的贝叶斯方法替代当前频率派与贝叶斯方法的混合,我们为整个估计框架提供了根本性的增强。这允许更合适地量化不确定性。我们通过使用 Structural Topic Model 估计主题比例,研究德国议员的 Twitter 帖子与其选区相关的不同元数据协变量之间的关系,以此来说明我们改进的方法论。

英文摘要:

The objective of advanced topic modeling is not only to explore latent topical structures, but also to estimate relationships between the discovered topics and theoretically relevant metadata. Methods used to estimate such relationships must take into account that the topical structure is not directly observed, but instead being estimated itself in an unsupervised fashion, usually by common topic models. A frequently used procedure to achieve this is the method of composition, a Monte Carlo sampling technique performing multiple repeated linear regressions of sampled topic proportions on metadata covariates. In this paper, we propose two modifications of this approach: First, we substantially refine the existing implementation of the method of composition from the R package stm by replacing linear regression with the more appropriate Beta regression. Second, we provide a fundamental enhancement of the entire estimation framework by substituting the current blending of frequentist and Bayesian methods with a fully Bayesian approach. This allows for a more appropriate quantification of uncertainty. We illustrate our improved methodology by investigating relationships between Twitter posts by German parliamentarians and different metadata covariates related to their electoral districts, using the Structural Topic Model to estimate topic proportions.

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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