Exploring Group and Symmetry Principles in Large Language Models

Large Language Models (LLMs) have demonstrated impressive performance across a wide range of applications; however, assessing their reasoning capabilities remains a significant challenge. In this paper, we introduce a framework grounded in group and symmetry principles, which have played a crucial role in fields such as physics and mathematics, and offer another way to evaluate their capabilities. While the proposed framework is general, to showcase the benefits of employing these properties, we focus on arithmetic reasoning and investigate the performance …

applications capabilities challenge cs.cl fields framework language language models large language large language models llms mathematics paper performance physics reasoning role symmetry