arXiv AI By Sara Abdali, Pashmina Cameron

JIVEAdapter: A Multi-Task Additive Low-Rank Adapter via Joint and Individual Variation Explained (JIVE)

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JIVEAdapter is a multi-task additive low-rank adapter that decomposes weight updates into a shared Joint component and a per-task Individual component, inspired by Joint and Individual Variation Explained (JIVE). It penalizes Individual structures to remain near-orthogonal to the Joint, ensuring interpretable separation of shared and task-specific signals, and allocates rank adaptively between shared and individual pools. The Joint component is learned once and frozen, then reused as a prior for new tasks, achieving competitive performance on GLUE and SuperGLUE with DeBERTaV3-base without additional modules.

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