FACE: Evaluating Natural Language Generation with Fourier Analysis of Cross-Entropy
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Abstract (arXiv)
Measuring the distance between machine-produced and human language is a critical open problem. Inspired by empirical findings from psycholinguistics on the periodicity of entropy in language, we propose FACE, a set of metrics based on Fourier Analysis of the estimated Cross-Entropy of language, for measuring the similarity between model-generated and human-written languages. Based on an open-ended generation task and the experimental data from previous studies, we find that FACE can effectively identify the human-model gap, scales with model size, reflects the outcomes of different sampling methods for decoding, correlates well with other evaluation metrics and with human judgment scores.
Key facts. Cited by 6 papers in the map (data through 14 Oct 2026). Builds on 18 of its 53 references that are in the map. First posted on arXiv 17 May 2023.
Builds on
18 of 53 references.
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6 more
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Citing papers per year: 2024: 1; 2025: 2; 2026: 3.
6 papers.
- 2024Detecting Subtle Differences between Human and Model Languages Using Spectrum of Relative Likelihoodcited by 24
- 2025Identifying the Periodicity of Information in Natural Languagecited by 4
- 2026LLMs Exhibit Significantly Lower Uncertainty in Creative Writing Than Professional Writerscited by 4
- 2025TempTest: Local Normalization Distortion and the Detection of Machine-generated Textcited by 3
- 2026WaveDetect: Robust Framework for Machine-Generated Text Detection via Wavelet Transformcited by 2
- 2026The Dynamics of Human and AI-Generated Language: How Semantics Fluctuates across Different Timescalescited by 0
- 2026WaveDetect: Robust Framework for Machine-Generated Text Detection via Wavelet Transform22 Jun 2026
- 2026The Dynamics of Human and AI-Generated Language: How Semantics Fluctuates across Different Timescales9 Jun 2026
- 2026LLMs Exhibit Significantly Lower Uncertainty in Creative Writing Than Professional Writers18 Feb 2026
- 2025Identifying the Periodicity of Information in Natural Language31 Oct 2025
- 2025TempTest: Local Normalization Distortion and the Detection of Machine-generated Text26 Mar 2025
- 2024Detecting Subtle Differences between Human and Model Languages Using Spectrum of Relative Likelihood28 Jun 2024