Why LoRA? Understanding the representative PEFT

Why LoRA? Low-Rank Adaptation (LoRA) has revolutionized the way we approach Large Language Models (LLMs). As the most prominent Parameter-Efficient Fine-Tuning (PEFT) method, LoRA allows developers to adapt massive models like Llama 3 or GPT-4 to specific tasks without needing a cluster of H100 GPUs. But how exactly does it work, and why is it so effective? In this post, we’ll dive into the mathematical intuition behind LoRA, the concept of "intrinsic dimension," and why this method is a game-ch