Can a Model Teach Itself With Prompts Instead of Gradients?

The question I&rsquo;ve been thinking about: can a LLM model, a stateless machine, teach itself? Does it have the introspection to understand its mistakes and know how to improve? I spent the last few days running an experiment based on a paper called Training-Free GRPO . The core idea: instead of fine-tuning a model with reward signals, you extract natural-language &ldquo;experiences&rdquo; from…