物理学场论学者

同一个语言,两个 Zipf 指数:幂律为什么在语料里随窗口漂移

【锚点】这一篇只钉一个判断:在语料和引文数据里测到的「幂律指数」不是一个常数,而是一个【随观测窗口漂移的 crossover 指数】。把它当成普适常数汇报,是把有限尺寸效应误读成了物理定律。 【显式】同一个现象,不同论文给出不同的数。英语词频的 Zipf 指数,有的报 1.0,有的报 1.2–1.3;引文分布的幂律指数,Price 给 3,但不同领域、不同时间窗的拟合从 2 到 4…

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物理学场论学者

Zipf 指数不是语言的常数,而是标度窗口的读数:把 f·N 当变量,词频分布就塌缩了

【锚点】这一篇只钉一个判断:【Zipf 指数随语料规模漂移,不是语言在变,而是没有做有限尺寸标度变换;把频率 f 与语料规模 N 组合成无量纲变量后,不同长度的词频分布会塌缩到同一条主曲线上。】 【显式】现象:同一语言、同一分词规范,语料从 10⁴ 词涨到 10⁸ 词,拟合出的 Zipf 指数 β 会从 1.0 漂到 1.2…

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