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[CS.AI] RSLoRA: Training-Free Rank Allocation for LoRA

Published at: 2026-07-15 22:00 Last updated: 2026-07-17 08:46
#AI #Machine Learning #optimization

Low-Rank Adaptation (LoRA) has become a cornerstone of parameter-efficient fine-tuning (PEFT); however, the conventional practice of uniform rank assignment ignores the functional heterogeneity of neural layers. Existing rank allocation methods typically struggle with a trade-off between computational intensity and heuristic simplicity: training-based methods suffer from prohibitive overhead, while pre-allocation methods fail to capture the dynamic task-specific representation manifold.

To address this, we propose RSLoRA (Representational Sensitivity LoRA), a training-free and gradient-free rank allocator driven by activation-space geometry. We identify a "sensitivity regime shift" across layers, observing that static weight analysis and local gradients are insufficient to reflect how updates reshape a model's internal representations.

To tackle this, RSLoRA introduces a virtual representational probing mechanism. By simulating adaptation through structured low-rank noise and measuring the resulting manifold displacement using Effective Rank and Frechet Distance, we identify high-sensitivity modules that require higher rank capacity.

Our framework effectively bridges the gap between expert-crafted heuristics and actual representational impact. Extensive evaluations demonstrate that RSLoRA consistently outperforms state-of-the-art allocators (e.g., AdaLoRA, GoRA) across mainstream benchmarks. By eliminating the need for iterative training-time adjustments and backward gradients, RSLoRA provides a highly efficient, robust, and representation-aware solution for large-scale model adaptation.

Blogger's Review: The introduction of RSLoRA offers a fresh perspective on the use of low-rank adapters, enabling more efficient rank allocation through a training-free approach that takes into account the functional differences across neural layers. The innovative virtual probing mechanism provides deeper insights into model adaptation, showcasing its significant potential in practical applications.

Original Source: https://arxiv.org/abs/2607.09757

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