基于统计学习的文化进化中的共轭分布律
Conjugate Distribution Laws in Cultural Evolution via Statistical Learning
摘要：
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，这促使我们研究它对文化进化的影响。我们进行了大规模的音乐数据分析，并观察到音乐产品的各种统计参数近似遵循贝塔分布和其他共轭分布。我们构建了一个简单的文化进化模型，将统计学习和分析表明，共轭分布出现在平衡的斜传输的存在。结果表明，在人口中的文化特征的分布取决于个人的文化生产模型（共轭分布规律），并揭示有趣的可能性，对文化进化和社会学习的理论和实验研究。
英文摘要：
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.
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