Challenge: In math reasoning with large language models, fine-tuning data augmentation by query evolution and diverse reasoning paths is empirically verified effective.
Approach: They propose to fine-tune data augmentation by query evolution and diverse reasoning paths.
Outcome: The proposed model achieves new state-of-the-art on GSM8K and MATH.

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MuMath: Multi-perspective Data Augmentation for Mathematical Reasoning in Large Language Models (2024.findings-naacl)

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Challenge: Large Language Models (LLMs) that integrate with external Python interpreters are not able to demonstrate the calculation process, which compromises user-friendliness and understanding of problem-solving steps.
Approach: They propose to use LLaMA-2 to refine LLti-perspective augmentation methods to improve performance.
Outcome: The proposed model achieves 88.3% on GSM8K and 34.5% on MATH.
GSM-Plus: A Comprehensive Benchmark for Evaluating the Robustness of LLMs as Mathematical Problem Solvers (2024.acl-long)

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Challenge: Large language models (LLMs) have demonstrated impressive performance across various mathematical reasoning benchmarks.
Approach: They introduce an adversarial grade school math dataset and explore whether LLMs can be more robust when questions are slightly changed.
Outcome: The proposed method generates and verifies each intermediate thought based on its reasoning goal and calculation result.
MATHSENSEI: A Tool-Augmented Large Language Model for Mathematical Reasoning (2024.naacl-long)

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Challenge: TALMs have been successfully employed in question-answering benchmarks, but their efficacy on complex mathematical reasoning benchmarks are open research questions.
Approach: They propose a tool-augmented large language model for mathematical reasoning that enhances the skillset of large language models (LLMs) by 13.5%.
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HighMATH: Evaluating Math Reasoning of Large Language Models in Breadth and Depth (2025.findings-emnlp)

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Challenge: a gap in math models' accuracy has been widened with the development of large language models (LLMs) . a new study aims to bridge this gap by evaluating a set of high-level math reasoning models .
Approach: They propose to evaluate large language models on existing math benchmarks to bridge this gap . they collect 5,293 problems from Chinese senior high school mathematics exams .
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CoinMath: Harnessing the Power of Coding Instruction for Math LLM (2025.findings-acl)

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Challenge: Large Language Models (LLMs) have shown strong performance in solving mathematical problems, with code-based solutions proving particularly effective.
Approach: They propose a learning strategy to enhance mathematical reasoning by diversifying the coding styles of code-based rationales.
Outcome: The proposed learning strategy outperforms its baseline model, MAmmoTH, which uses code-based solutions.
ControlMath: Controllable Data Generation Promotes Math Generalist Models (2024.emnlp-main)

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Challenge: Currently, mathematical reasoning is one of the most challenging areas for closed-source LLMs.
Approach: They propose an iterative method involving an equation-generator module and two LLM-based agents that generate diverse equations and transform them into math word problems.
Outcome: The proposed method enables the generation of diverse math problems, not limited to specific domains or distributions.
ALTER: Augmentation for Large-Table-Based Reasoning (2025.naacl-long)

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Challenge: Recent studies have focused on the use of large language models (LLMs) for table-based reasoning, but most approaches struggle with scalability when applied to large tables.
Approach: They propose a framework to harness latent augmentation potential in tabular data . they use only a small subset of relevant data from the table to supplement it with schema .
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LLM-powered Data Augmentation for Enhanced Cross-lingual Performance (2023.emnlp-main)

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Challenge: Existing training data for multilingual commonsense reasoning datasets is limited.
Approach: They propose to use large language models for data augmentation in multilingual datasets . they use Dolly-v2, StableVicuna, ChatGPT, and GPT-4 to augment three datasets.
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Evaluating the Effectiveness and Scalability of LLM-Based Data Augmentation for Retrieval (2025.emnlp-main)

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Challenge: Existing research does not explore key factors such as optimal augmentation scale and the necessity of using large augmentation models.
Approach: They propose to use LLMs to augment compact dual-encoder models to improve retrieval performance.
Outcome: The proposed approach improves retrieval performance but its benefits diminish beyond a certain scale even with diverse augmentation strategies.
Order Doesn’t Matter, But Reasoning Does: Training LLMs with Order-Centric Augmentation (2025.emnlp-main)

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Challenge: Logical reasoning is essential for large language models (LLMs) to ensure accurate and coherent inferences.
Approach: They propose an order-centric data augmentation framework based on commutativity in logical reasoning that randomly shuffles independent premises to introduce condition order augmentation.
Outcome: The proposed framework improves LLMs’ reasoning performance and adaptability to diverse logical structures.

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