Evolutionary correspondence analysis of the semantic dynamics of frames

Christian Baden, Giovanni Motta
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Abstract

We introduce and implement a novel dimension-reduction method for high-dimensional time-varying contingency-tables: the Evolutionary Correspondence Analysis (ECA). ECA enables a comparative analysis of high-dimensional, diachronic processes by identifying a small number of shared latent variables that shape co-evolving data patterns. ECA offers new opportunities for the study of complex social phenomena, such as co-evolving public debates: Its capacity to inductively extract time-varying latent variables from observed contents of evolving debates permits an analysis of meanings shared by linked sub-discourses, such as linked national public spheres or the discourses led by distinct political camps within a shared public sphere. We illustrate the utility of our approach by studying how the Greek and German right-, centre-, and left-leaning news coverage of the European financial crisis evolved between its outbreak in 2009 until its institutional containment in 2012. Comparing the use of 525 unique concepts in six German and Greek outlets with different political leaning over an extended period of time, we identify two common factors accounting for those evolving meanings and analyse how the different sub-discourses influenced one another over time. We allow the factor loadings to be time-varying, and fit to the latent factors a time-varying vector-auto-regressive model with time-varying mean.
框架语义动态进化对应分析
我们为高维时变或然表引入并实施了一种新颖的降维方法:进化对应分析(ECA)。ECA 通过识别形成共同演化数据模式的少量共享潜变量,对高维、非同步过程进行比较分析。ECA 为研究复杂的社会现象(如共同演变的公共辩论)提供了新的机遇:ECA 能够从观察到的不断变化的辩论内容中归纳提取随时间变化的潜在变量,从而分析相互关联的子话语(如相互关联的国家公共领域或共享公共领域中不同政治阵营所主导的话语)所共享的意义。我们通过研究希腊和德国右、中、左三派对欧洲金融危机的新闻报道从 2009 年爆发到 2012 年制度性遏制的演变过程,来说明我们的方法的实用性。通过比较德国和希腊六家具有不同政治倾向的媒体在较长时间内对 525 个独特概念的使用,我们发现了两个共同的因子,这两个因子解释了这些不断演变的含义,并分析了不同的子话语如何随着时间的推移而相互影响。我们允许因子载荷随时间变化,并将随时间变化的均值向量自回归模型拟合到潜在因子上。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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