Abstractiveness Metrics for Evaluating Text Summarization: A Refined Formulation with Empirical Validation
- URL: http://arxiv.org/abs/2607.10806v1
- Date: Sun, 12 Jul 2026 15:25:57 GMT
- Title: Abstractiveness Metrics for Evaluating Text Summarization: A Refined Formulation with Empirical Validation
- Abstract summary: Quantifying abstractiveness in generated summaries is essential for evaluating summarization beyond surface-level metrics like ROUGE.<n>We introduce Reference Abstraction (RA), Summary Abstraction (SA), and Abstraction Ratio (AR)<n> metrics that measure how much a summary diverges from extractive copying of the source text.
- Score: 2.893226191913102
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: Quantifying abstractiveness in generated summaries is essential for evaluating summarization models beyond surface-level metrics like ROUGE. We introduce Reference Abstraction (RA), Summary Abstraction (SA), and Abstraction Ratio (AR) -- a set of principled heuristic metrics that measure how much a summary diverges from extractive copying of the source text. The formulation uses the harmonic mean of document lengths modulated by a cubic non-overlap factor, yielding dimensionally consistent, bounded output with non-linear sensitivity to the extractive-abstractive boundary. Evaluation on 100 XSUM documents across four summarization models (BART-large-cnn, Pegasus-xsum, DistilBart, MT5-small) demonstrates that the metrics successfully discriminate between extractive models (SA ~ 0.12-0.26) and abstractive models (SA ~ 0.96-1.77), and that the Abstraction Ratio identifies summaries requiring manual evaluation for potential hallucination. Code and results are available at https://github.com/katweNLP/AbstractionStudy.
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