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arXiv 2203.13352cs.CLcs.LG
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人类语言是否遵循本福德定律?

Does human speech follow Benford's Law?

Arizona State University(亚利桑那州立大学)

Leo Hsu, Visar Berisha

摘要:

研究人员观察到,在许多人造和自然发生的数据集中,前导数字的频率遵循对数曲线,以数字1开头的数字占数据集中所有数字的$\sim 30\%$,以数字9开头的数字占数据集中所有数字的$\sim 5\%$。这种现象被称为本福德定律,具有高度的可重复性,并出现在电费、股票价格、纳税申报表、房价、死亡率、河流长度和自然发生的图像等数字列表中。在本文中,我们证明,人类的语音频谱也遵循本福德定律的平均。也就是说,当对许多说话者进行平均时,语音幅度谱中的前导数字的频率遵循这种分布,尽管在个体样本水平上具有一些可变性。我们利用这一观察激励一组新的功能,可以有效地从语音中提取,并证明这些功能可用于人类语音和合成语音之间的分类。

英文摘要:

Researchers have observed that the frequencies of leading digits in many man-made and naturally occurring datasets follow a logarithmic curve, with digits that start with the number 1 accounting for $\sim 30\%$ of all numbers in the dataset and digits that start with the number 9 accounting for $\sim 5\%$ of all numbers in the dataset. This phenomenon, known as Benford's Law, is highly repeatable and appears in lists of numbers from electricity bills, stock prices, tax returns, house prices, death rates, lengths of rivers, and naturally occurring images. In this paper we demonstrate that human speech spectra also follow Benford's Law on average. That is, when averaged over many speakers, the frequencies of leading digits in speech magnitude spectra follow this distribution, although with some variability at the individual sample level. We use this observation to motivate a new set of features that can be efficiently extracted from speech and demonstrate that these features can be used to classify between human speech and synthetic speech.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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