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arXiv

GPart maps a d-dimensional trainable vector directly into the full weight space via a sparse isometric partition matrix, matching or beating existing PEFT methods at ultra-low parameter budgets

The work proposes GPart (Global Partition fine-tuning), a highly parameter-efficient fine-tuning method that maps a d-dimensional trainable vector directly into the full weight space through a sparse, isometric partition matrix, retains a fixed global parameter-sharing prior while removing the additional low-rank reconstruction used by LoRA-based methods, and thereby yields a single main hyperparameter (d), exact end-to-end isometry, and a minimal checkpoint representation consisting of the trainable vector and a random seed, matching or improving over existing PEFT methods at ultra-low parameter budgets across natural language understanding, computer vision, and mathematical reasoning benchmarks.