Conjugate distribution laws in cultural evolution via statistical learning,Physical Review E

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Conjugate distribution laws in cultural evolution via statistical learning
Physical Review E ( IF 2.2 ) Pub Date : 2021-09-22 , DOI: 10.1103/physreve.104.034309
Eita Nakamura ₁

Affiliation

Many cultural traits characterizing intelligent behaviors are now thought to be transmitted through statistical learning, motivating us to study its effects on cultural evolution. We conduct a large-scale music data analysis and observe that various statistical parameters of musical products approximately follow the beta distribution and other conjugate distributions. We construct a simple model of cultural evolution incorporating statistical learning and analytically show that conjugate distributions emerge at equilibrium in the presence of oblique transmission. The results demonstrate that the distribution of a cultural trait within a population depends on the individual's model for cultural production (the conjugate distribution law), and reveal interesting possibilities for theoretical and experimental studies on cultural evolution and social learning.

中文翻译：

通过统计学习共轭文化进化中的分布规律

许多表征智能行为的文化特征现在被认为是通过统计学习传播的，这促使我们研究其对文化进化的影响。我们进行了大规模的音乐数据分析，观察到音乐产品的各种统计参数大致遵循 beta 分布和其他共轭分布。我们构建了一个包含统计学习的简单文化进化模型，并分析表明共轭分布在存在倾斜传输的情况下出现在平衡状态。结果表明，文化特征在人群中的分布取决于个体的文化生产模式（共轭分布规律），

更新日期：2021-09-22

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