Octopus: History-Free Gradient Orthogonalization for Continual Learning in Multimodal Large Language Models

Continual learning in multimodal large language models (MLLMs) aims to sequentially acquire knowledge while mitigating catastrophic forgetting, yet existing methods face inherent limitations: architecture-based approaches incur additional computational overhead and often generalize poorly to new tasks, rehearsal-based methods rely on storing historical data, raising privacy and storage concerns, and conventional regularization-based strategies alone are insufficient to fully prevent parameter interference. We propose \our, a two-stage continual learning framework based on History-Free Gradient Orthogonalization (HiFGO), which enforces gradient-level orthogonality without historical task data. The two-stage finetuning strategy decouples task adaptation from regularization, achieving a principled balance between plasticity and stability. Experiments on UCIT~\cite{guo2025hide} show that \our~establishes state-of-the-art performance, surpassing prior SOTA by 2.14\% and 6.82\% in terms of \textit{Avg} and \textit{Last}.