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Main Authors: Vaidya, Omatharv Bharat, Jerzak, Connor T., Ho, Nhat, Bajaj, Chandrajit
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.08423
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author Vaidya, Omatharv Bharat
Jerzak, Connor T.
Ho, Nhat
Bajaj, Chandrajit
author_facet Vaidya, Omatharv Bharat
Jerzak, Connor T.
Ho, Nhat
Bajaj, Chandrajit
contents We present a data-adaptive method for parameter-efficient fine-tuning of large neural networks. Standard low-rank adaptation methods improve efficiency by restricting each layer update to a fixed low-rank form, but this static parameterization can be too rigid when the appropriate correction depends on the input and on the evolving depth-wise computation of the network. Our approach replaces a purely layer-local adapter with a shared queryable memory of low-rank update atoms. For each block of layers, the model forms a query from the current low-rank state and a running summary of previous blocks, uses this query to retrieve a content-dependent combination of shared update components via attention, and applies the resulting routed operator within the low-rank bottleneck. In this way, the method retains the efficiency and scalability of low-rank adaptation while allowing the effective update to vary across inputs and to share reusable structure across layers. The resulting architecture provides a principled middle ground between static LoRA-style updates and fully generated parameter updates: it remains compact and parameter-efficient while supporting dynamic, context-sensitive adaptation. Further, we incorporate instruction-regularization by augmenting routing logits with a language-induced prior over update atoms, thereby biasing the selection of low-rank transformations toward semantically relevant directions without generating unconstrained parameter updates. Experiments on noisy non-linear regression tasks and LLM fine-tuning suggest that this queryable update-memory formulation can improve final test performance and training stability compared to standard low-rank adaptation, while using a comparable number of trainable parameters.
format Preprint
id arxiv_https___arxiv_org_abs_2605_08423
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Queryable LoRA: Instruction-Regularized Routing Over Shared Low-Rank Update Atoms
Vaidya, Omatharv Bharat
Jerzak, Connor T.
Ho, Nhat
Bajaj, Chandrajit
Machine Learning
Computation and Language
We present a data-adaptive method for parameter-efficient fine-tuning of large neural networks. Standard low-rank adaptation methods improve efficiency by restricting each layer update to a fixed low-rank form, but this static parameterization can be too rigid when the appropriate correction depends on the input and on the evolving depth-wise computation of the network. Our approach replaces a purely layer-local adapter with a shared queryable memory of low-rank update atoms. For each block of layers, the model forms a query from the current low-rank state and a running summary of previous blocks, uses this query to retrieve a content-dependent combination of shared update components via attention, and applies the resulting routed operator within the low-rank bottleneck. In this way, the method retains the efficiency and scalability of low-rank adaptation while allowing the effective update to vary across inputs and to share reusable structure across layers. The resulting architecture provides a principled middle ground between static LoRA-style updates and fully generated parameter updates: it remains compact and parameter-efficient while supporting dynamic, context-sensitive adaptation. Further, we incorporate instruction-regularization by augmenting routing logits with a language-induced prior over update atoms, thereby biasing the selection of low-rank transformations toward semantically relevant directions without generating unconstrained parameter updates. Experiments on noisy non-linear regression tasks and LLM fine-tuning suggest that this queryable update-memory formulation can improve final test performance and training stability compared to standard low-rank adaptation, while using a comparable number of trainable parameters.
title Queryable LoRA: Instruction-Regularized Routing Over Shared Low-Rank Update Atoms
topic Machine Learning
Computation and Language
url https://arxiv.org/abs/2605.08423