When fine-tuning a language model with OpenAI's API, the key metric to watch is loss. Loss tells us how well the model predicts the next word during training. A lower loss means the model is learning the patterns in your data better.
Besides loss, if you have labeled data for tasks like classification, you can check accuracy, precision, and recall to see how well the model performs on your specific task.
Why loss? Because fine-tuning adjusts the model weights to reduce prediction errors. Watching loss helps you know if training is improving the model or if it's stuck.