When Does Generating More Help? Disentangling Fixed-Source Synthesis from Source Expansion in Synthetic Data Scaling

Xu Guo, Jian Tong, Zhihui Lu, Qipeng Guo


Abstract
Synthetic data can be scaled along two routes: Source Expansion (SE), which enlarges the source by adding seed materials or generators, and Fixed-Source Synthesis (FSS), which holds the source fixed and scales the generation budget. Existing scaling studies typically expand the source as the data grows, conflating SE with FSS and leaving FSS underexplored. We isolate FSS within a standard rejection sampling (RS) pipeline and derive a scaling form for it from how repeated sampling covers a fixed source. Empirically, fit on low budgets, the form predicts performance at the held-out highest budget for every evaluated teacher–student pair. At matched total-sample budgets, SE and FSS are comparable at small budgets, but adding seed questions outperforms spending the same budget on more responses at large budgets. Within FSS, neither synthesizing additional questions from the existing seeds nor varying the synthesis protocol consistently outperforms plain RS across matched budgets. FSS is thus a bounded scaling axis and a controlled setting for comparing synthesis protocols. We will release our code and data to facilitate further research.
Anthology ID:
2026.findings-emnlp.839
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2026
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
Findings
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SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
17767–17783
Language:
URL:
https://aclanthology.org/2026.findings-emnlp.839/
DOI:
Bibkey:
Cite (ACL):
Xu Guo, Jian Tong, Zhihui Lu, and Qipeng Guo. 2026. When Does Generating More Help? Disentangling Fixed-Source Synthesis from Source Expansion in Synthetic Data Scaling. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 17767–17783, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
When Does Generating More Help? Disentangling Fixed-Source Synthesis from Source Expansion in Synthetic Data Scaling (Guo et al., Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-emnlp.839.pdf