The field of large language models (LLMs) is rapidly advancing, with a focus on improving reasoning capabilities through reinforcement learning (RL). Recent developments have led to the creation of novel RL algorithms, such as Difficulty Aware Certainty guided Exploration (DACE) and Balanced Actor Initialization (BAI), which address challenges in exploration-exploitation trade-offs and stable training. Additionally, frameworks like Ranked Preference Reinforcement Optimization (RPRO) and Reasoning Vectors have been proposed to enhance medical question answering and transfer reasoning capabilities between models. Noteworthy papers include 'Know When to Explore: Difficulty-Aware Certainty as a Guide for LLM Reinforcement Learning', which introduces DACE, and 'Reasoning Vectors: Transferring Chain-of-Thought Capabilities via Task Arithmetic', which demonstrates the transfer of reasoning abilities between models. These innovative approaches are pushing the boundaries of LLM capabilities and paving the way for more advanced and efficient models.