Recent advancements in artificial intelligence research have marked a significant step forward in refining the reasoning capabilities of large language models (LLMs). A collaborative effort by the team from Facebook AI Research (FAIR) at Meta, Georgia Institute of Technology, and StabilityAI, has introduced a breakthrough approach aimed at enhancing LLMs' self-improvement processes in complex tasks like mathematics, science, and coding. Alexander Havrilla, a machine learning Ph.D. student based in the School of Mathematics, is lead author of the study published as a pre-print.