7.1 Improving GRPO7.2 Tracking GRPO performance metrics7.2.1 Executing a GRPO training run7.2.2 Inspecting the GRPO training run7.3 Tracking more advanced GRPO performance metrics7.3.1 Advantage tracking7.3.2 Entropy tracking7.3.3 Plotting additional GRPO metrics7.4 Stabilizing sequence-level GRPO using clipped policy ratios7.4.1 Computing clipped policy ratios7.4.2 Training with clipped policy ratios7.5 Controlling how much the model changes with a KL term7.5.1 Implementing the KL loss term7.5.2 Training with a KL loss term7.6 Adding an explicit format reward7.6.1 Using <think> tokens7.6.2 Training a model to emit <think> tokens7.6.3 More GRPO modifications, tips, and tricks