mlsanityData to 14 Oct 2026

LLM Reasoning Engine: Specialized Training for Enhanced Mathematical Reasoning

arXiv 2412.20227 ↗First posted 28 Dec 2024cs.CLcited by 2

On the map: LLM reasoning → Mathematical reasoning

Abstract (arXiv)

Large Language Models (LLMs) have shown remarkable performance in various natural language processing tasks but face challenges in mathematical reasoning, where complex problem-solving requires both linguistic understanding and mathematical reasoning skills. Existing approaches to address this challenge often rely on ensemble methods and suffer from the problem of data scarcity in target domains. In this work, we present a novel method to enhance LLMs' capabilities in mathematical reasoning tasks. Motivated by the need to bridge this gap, our approach incorporates a question paraphrase strategy, which aims at diversifying the linguistic forms of mathematical questions to improve generalization. Additionally, specialized training objectives are employed to guide the model's learning process, focusing on enhancing its understanding of mathematical concepts and reasoning processes. We conduct experiments on four datasets using different LLMs, and demonstrate the effectiveness of our approach in improving LLMs' performance on mathematical reasoning tasks. Our findings underscore the significance of our methodology in the advancement of large language models and its potential implications for real-world applications that require mathematical reasoning abilities.

Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Placed in Mathematical reasoning, one of 17 directions in LLM reasoning. Builds on 23 of its 35 references that are in the map. First posted on arXiv 28 Dec 2024.

Builds on

23 of 35 references.

Closest ancestors · 2

Same direction, newest first

  1. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models5 Feb
  2. 2023ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving29 Sep

Other references · 21

  1. 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,399
  2. 2023LLaMA: Open and Efficient Foundation Language Modelscited by 14,132
  3. 2019RoBERTa: A Robustly Optimized BERT Pretraining Approachcited by 13,372
  4. 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 13,028
  5. 2021Training Verifiers to Solve Math Word Problemscited by 10,109
  6. 2019BART: Denoising Sequence-to-Sequence Pre-training for Natural Language Generation, Translation, and Comprehensioncited by 5,893
  7. 2019DistilBERT, a distilled version of BERT: smaller, faster, cheaper and lightercited by 4,307
  8. 2023Let's Verify Step by Stepcited by 3,789
  9. 2023Mistral 7Bcited by 3,164
  10. 2020DeBERTa: Decoding-enhanced BERT with Disentangled Attentioncited by 2,181
  11. 2024Mixtral of Expertscited by 1,823
  12. 2022No Language Left Behind: Scaling Human-Centered Machine Translationcited by 1,312
9 more
  1. 2023Gemini: A Family of Highly Capable Multimodal Modelscited by 872
  2. 2023MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Modelscited by 735
  3. 2022PAL: Program-aided Language Modelscited by 652
  4. 2019Analysing Mathematical Reasoning Abilities of Neural Modelscited by 335
  5. 2023MEDITRON-70B: Scaling Medical Pretraining for Large Language Modelscited by 274
  6. 2023SeamlessM4T: Massively Multilingual & Multimodal Machine Translationcited by 125
  7. 2023Mixture-of-Experts Meets Instruction Tuning:A Winning Combination for Large Language Modelscited by 65
  8. 2023Improving Large Language Model Fine-tuning for Solving Math Problemscited by 49
  9. 2022Practice Makes a Solver Perfect: Data Augmentation for Math Word Problem Solverscited by 9

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Citing papers per year: 2025: 2.

2 papers.

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  1. 2025A Survey on Large Language Models for Mathematical Reasoning
  2. 2026Mathematical Reasoning in Large Language Models: Benchmarks, Architectures, Evaluation, and Open Challenges
  3. 2024Large Language Models for Mathematical Reasoning: Progresses and Challenges
  4. 2026Improving Mathematical Reasoning Capabilities in Large Language Models via Reasoning Process Error Classification
  5. 2025Large Language Models and Mathematical Reasoning Failures
  6. 2024Benchmarking Large Language Models for Math Reasoning Tasks
  7. 2024MindStar: Enhancing Math Reasoning in Pre-trained LLMs at Inference Time
  8. 2025Advancing Mathematical Reasoning in Language Models: The Impact of Problem-Solving Data, Data Synthesis Methods, and Training Stages