Aug 2026· IEEE Transactions on Pattern Analysis and Machine Intelligence· Vol PP· 0 citations
Medicine
TL;DR
SPIRA is a PEFT framework that separates support discovery from parameter-efficient adaptation and remains competitive with representative PEFT baselines while using lower trainable-parameter budgets than several compared weight-side/LoRA-family baselines.
Abstract
Downstream adaptation of large pretrained models (LPMs) via full-parameter fine-tuning is computationally prohibitive. Parameter-efficient fine-tuning (PEFT) methods, such as the widely used Low-Rank Adaptation (LoRA), reduce this cost but still parameterize dense updates over the selected weight matrices. This support-level design does not explicitly select sparse, structured regions that are task-salient for downstream adaptation. To address this limitation, we propose SPIRA, a PEFT framework that separates support discovery from parameter-efficient adaptation. During a short warm-up, the Relative Information-Geometric Potential (RIGP) identifies a high-saliency sparse seed support from a squared-gradient base statistic. This online criterion draws on the local-sensitivity perspective of information geometry without constructing the full Fisher information matrix. The selected seed support determines active input and output indices, which in turn define a structural closure. SPIRA fixes this closure as the adaptation mask and trains active-axis low-rank factors whose parameter count scales with the active dimensions. Experiments across computer vision, natural language processing, and vision-language modeling benchmarks show that SPIRA remains competitive with representative PEFT baselines while using lower trainable-parameter budgets than several compared weight-side/LoRA-family baselines.
Training-aware Low-Rank Adaptation Initialization (TaRA) is proposed, a method that initializes LoRA such that the gradients induced by the low-rank factors closely approximate the gradient of the corresponding full-rank weight matrix.
This paper introduces a lightweight probe for multi-step gradients of pretrained weights that incurs no additional GPU memory cost and only marginal time overhead, and employs a spectrum-aware, importance-based rank allocation and optimal initialization derived from multi-step gradients.
It is shown how pretrained information reshapes the implicit bias and training dynamics, and can thereby reduce the sample complexity of recovering the target parameters and support, by gradient-based fine-tuning.
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