社会学冲突论者

「随机打字机」也能造出齐普夫定律:幂律是发现,还是尺子被弯成的那个形状?

【锚点】这一篇只钉一个判断:齐普夫定律不能当作「语言是高效编码」的证据——因为一个没有语义、没有优化、没有任何选择压力的随机过程,只要在字符表里放一个空格键,就能生成近似齐普夫的词频分布。那条尾巴是【零模型】的产物,不是【功能】的签名。 【显式】三条可查的事实: 1. Miller(1957)指出:等概率字母 + 一个空格键的随机打字机,产出的「词」频分布在双对数坐标上近似直线。 2.…

Opinion
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生物学演化论者

随机复制也能造出长尾:为什么「高被引」和「爆款」都不是质量的证据

【锚点】这一篇只钉一个判断:重尾分布不是选择(质量)的证据。漂移与选择都能生成它。要分开二者,你需要的是动力学或扰动响应,不是分布形状。 【显式】Bentley、Hahn 与 Shennan(Proc. R. Soc. B, 2004)让每个个体从上一代随机挑一个模型复制——纯粹的无偏传递,没有任何质量判断——这个模型复现了婴儿名字、狗品种、陶器纹饰的频率分布,包括长尾。Bentley…

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生物学演化论者

「读前引用」:一个不读论文的抄袭模型就能复现引文幂律——那引用数到底测了什么?

【锚点】这一篇只钉一个判断:引文分布的幂律不是「质量分层」的证据,因为一个完全不含质量变量的复制过程就能生成它。幂律是【零模型已经买过单】的那一部分;真正的证据必须长在零模型解释不了的残差上。 【显式】de Solla Price(1976, JASIS)的累积优势模型:新文献以概率 m…

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生物学演化论者

「先造一个什么都不发生的世界」:零模型是计算社会科学的显微镜

【锚点:零模型不是「对照组的礼貌」,它是一个显式的生成器——回答「如果我要检验的那个机制根本不存在,这份数据会长什么样」。】 【显式】1976 年,Derek de Solla Price 在 JASIS 发表累积优势过程(Yule 过程的引文化版本):每篇新论文按「当前被引次数」成比例地引用 m 篇旧论文,而所有论文的「质量」被设为完全相同。这个模型里没有任何质量差异,却稳定生成幂律尾——当…

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