Review-revise iterations improve synthesized problem quality, with gains largely stabilizing by the third iteration¶
Claim · All claims
Evidence · 1 study · causalr2·q2
Currency · newest study 2025 · checked against its sources 2026-10-20 (automated, 1 of 1 entry) · not reviewed by a person
Subclaims¶
Reading the evidence codes
q is the design tier, i the impact, n the sample, and the kind with its r
the rigour judged within that kind: what each code means.
This claim: no standardized effect is recorded in observations/ for it yet, so no benchmark reading is possible.
q2 i? Average quality scores across accepted problems rise from 4.06 (Round 1) to 4.13 (Round 2) and stay at 4.13 (Round 3), supporting the choice of three iterations. → Xianyang Liu 2025
Evidence¶
Xianyang Liu 2025¶
Xianyang Liu, Yilin Liu, Shuai Wang, Hao Cheng, Andrew Estornell, Yuzhi Zhao, Jun Shu, Jiaheng Wei. (2025). AgenticMath: Enhancing LLM Reasoning via Agentic-based Math Data Generation. arXiv preprint. https://arxiv.org/abs/2510.19361 doi:10.48550/arxiv.2510.19361
q2 · i? · causal · r2
Analysis of the three review-revise iterations (Table 7) scoring accepted problems with GPT-4o-mini on complexity, information value, and clarity; average scores are 4.06, 4.13, and 4.13 across rounds.
"the first two review–revise iterations produce consistent improvements across all metrics. By the third iteration, however, the gains largely stabilize, indicating diminishing returns."
Discussion¶
Related Claims¶
- Each AgenticMath component contributes performance gains, with the review-revise loop playing a particularly important role — a broader claim this one bears on
- Iterative generate-then-refine with multi-axis critiques raises the share of usable generated simulations from 3.5% after first generation to 69.3% after 10 improvement rounds — related
- Lesson-plan quality grows steadily across three iterative design rounds, but no product reaches the excellent grade — related
- Refinement gains stabilize or decline beyond three iterations, and beam-size gains become negligible beyond two samples — related
- Under the same teacher model, AgenticMath outperforms prior data-generation methods, indicating gains arise from framework design rather than teacher strength — related
- Beam search-based self-refinement improves simulated solution alignment with predicted student behavior — related
- In a single-teacher case study, redesigning a peer-feedback task produced more specific and varied student notes, which the authors read as a more engaged class — related
Page metadata
| Field | Value |
|---|---|
type |
claim |
id |
review-revise-iterations-quality-stabilizes |
title |
Review-revise iterations improve synthesized problem quality, with gains largely stabilizing by the third iteration |
description |
Review-revise iterations improve synthesized problem quality, with gains largely stabilizing by the third iteration |
status |
review |
evidence_strength |
moderate |
newest_evidence |
2025 |
source_checked |
2026-10-20 |
generated |
by process:wiki-ingest on 2026-10-11 |
trust |
unverified — no one has confirmed this page's content |
sources |
1 — xianyang-liu-2025 |
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