Mixture-of-Subspaces in Low-Rank Adaptation

In this paper, we introduce a subspace-inspired Low-Rank Adaptation (LoRA) method, which is computationally efficient, easy to implement, and readily applicable to large language, multimodal, and diffusion models. Initially, we equivalently decompose the weights of LoRA into two subspaces, and find that simply mixing them can enhance performance. To study such a phenomenon, we revisit it through a fine-grained subspace lens, showing that such modification is equivalent to employing a fixed mixer to fuse the subspaces. To be more flexible, we jointly learn the mixer with the original LoRA weights, and term the method Mixture-of-Subspaces LoRA (MoSLoRA). MoSLoRA consistently outperforms LoRA on tasks in different modalities, including commonsense reasoning, visual instruction tuning, and subject-driven text-to-image generation, demonstrating its effectiveness and robustness.
Nevertheless, we can view each element in the mixer matrix as a weight for each expert in MoE methods. The differences are discussed in Section 3.3. Indeed, we use the input-agnostic weights to combine all the 'experts', thus enjoying the power of MOE and 0 infer latency of LoRA. The key differences are the input-agnostic and using all experts.