Daily Arxiv

This is a page that curates AI-related papers published worldwide.
All content here is summarized using Google Gemini and operated on a non-profit basis.
Copyright for each paper belongs to the authors and their institutions; please make sure to credit the source when sharing.

CAMA: Enhancing Mathematical Reasoning in Large Language Models with Causal Knowledge

Created by
  • Haebom

Author

Lei Zan, Keli Zhang, Ruichu Cai, Lujia Pan

Outline

This paper proposes a two-stage causal framework, **CAMA (CAusal MAthematician)**, to enhance the complex mathematical reasoning capabilities of large-scale language models (LLMs). CAMA combines a causal discovery algorithm for question-answer pair datasets with prior knowledge of the LLM to generate a mathematical causal graph (MCG). During the learning phase, the MCG is a high-dimensional representation of solution strategies, containing core knowledge and their causal dependencies. During the inference phase, when a new question is presented, relevant subgraphs are dynamically extracted from the MCG based on the question content and the LLM's intermediate inference processes, guiding the LLM's inference process. Experimental results demonstrate that CAMA significantly improves the LLM's performance on challenging mathematical problems, that structured guidance outperforms unstructured guidance, and that incorporating asymmetric causal relationships yields greater improvements than using only symmetric associations.

Takeaways, Limitations

Takeaways:
A New Approach to Improving Mathematical Reasoning Skills in LLMs
Improving the inference process of LLM by explicitly modeling causal relationships.
Demonstrating the effectiveness of structured knowledge representation and dynamic knowledge utilization.
Emphasize the importance of asymmetric causality
Limitations:
Computational cost and complexity of the MCG production and purification process
Reliance on the completeness and accuracy of MCG
Potentially limited to performance evaluations for specific types of mathematical problems
Need to verify generalizability to various types of mathematical problems
👍