This segment details the "aha moment" observed during the training of DeepSeek R10, a phenomenon where the model learns to allocate more thinking time to a problem by re-evaluating its initial approach. This showcases the model's growing reasoning abilities and demonstrates how reinforcement learning can lead to unexpected and sophisticated outcomes in large language models. A UC Berkeley PhD student successfully reproduced DeepSeek R10's capabilities in the Countdown game using reinforcement learning for under $30. This segment explains how a 3B parameter language model developed self-verification and search abilities, demonstrating the accessibility and cost-effectiveness of replicating advanced AI functionalities.This segment explains the significance of the "aha moment" in the DeepSeek paper, highlighting how reinforcement learning enabled the model to develop internal monologue and thinking abilities. It draws a parallel with AlphaGo's success, emphasizing the power of reinforcement learning in enabling AI to learn complex tasks without human-annotated data.The segment clarifies the importance of well-defined reward functions in reinforcement learning, particularly in tasks with definitive answers like math or logic problems. It contrasts this with open-ended questions where defining a reward function is challenging, illustrating the limitations of current reinforcement learning techniques.This segment explains how the Countdown game, with its definitive right answers, provided a well-defined reward signal for the model, allowing researchers to effectively test and observe the "aha moment" in a controlled environment. The clear reward function facilitated the model's learning process. A UC Berkeley PhD student replicated DeepSeek's "aha moment" – the emergence of advanced reasoning in a language model – for under $30 using reinforcement learning on a smaller model and the Countdown game. The key was a well-defined reward function, allowing the model to learn self-verification and iterative problem-solving. The experiment showed that model size and the specific reinforcement learning algorithm are less crucial than a good base model and a clear reward signal. This segment describes the model's learning process, starting with dummy outputs and gradually developing tactics like revision and search. It emphasizes the natural emergence of these capabilities without explicit instruction, highlighting the model's ability to self-verify and iteratively revise its solutions until it finds a correct answer. This segment summarizes the methodology and results of reproducing the "aha moment" using the DeepSeek R1 algorithm applied to the Countdown game. It highlights the key finding that a good base model combined with reinforcement learning and a clear reward function enables the model to develop self-thinking capabilities, even within a narrow domain. This segment presents findings on the impact of base model size and instruction tuning on the model's performance. It reveals that larger models perform better and that instruction tuning, while accelerating learning, doesn't significantly alter the final performance. The segment also notes that the base model's quality is crucial for achieving the "aha moment." This segment discusses the minimal impact of the specific reinforcement learning algorithm used, highlighting the generalizability of the emergent capability. It emphasizes the role of open-source publication in accelerating research and development in this area, showcasing the power of community collaboration.This segment explores the task-dependent nature of the model's reasoning behavior, showing how it adapts its approach based on the specific task. It observes that the model learns different strategies for different tasks, such as search and self-verification for the Countdown game and step-by-step problem decomposition for number multiplication.This segment speculates on the future implications of combining reinforcement learning with test-time training, envisioning a future with many small, highly specialized models. However, it also acknowledges the current limitations, noting that the findings are validated only on the Countdown task and not general reasoning.This segment addresses questions from the audience, clarifying aspects of the experiment and reinforcing the generalizability of the findings. It reiterates that the choice of base model and reinforcement learning algorithm has a relatively minor impact on the overall success of the approach.This segment provides details on the computational cost of the experiment, clarifying the "$30" figure and discussing the use of efficient techniques like mixture of experts and FP8. It also connects the findings to recent statements made by the CEO of Anthropic, highlighting the alignment of the research with current industry trends.