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Main Authors: Li, Shiwei, Luo, Xiandi, Wang, Haozhao, Tang, Xing, Cui, Ziqiang, Liu, Dugang, Li, Yuhua, He, Xiuqiang, Li, Ruixuan
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2510.23123
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author Li, Shiwei
Luo, Xiandi
Wang, Haozhao
Tang, Xing
Cui, Ziqiang
Liu, Dugang
Li, Yuhua
He, Xiuqiang
Li, Ruixuan
author_facet Li, Shiwei
Luo, Xiandi
Wang, Haozhao
Tang, Xing
Cui, Ziqiang
Liu, Dugang
Li, Yuhua
He, Xiuqiang
Li, Ruixuan
contents Low-rank adaptation (LoRA) is a parameter-efficient fine-tuning (PEFT) method widely used in large language models (LLMs). LoRA essentially describes the projection of an input space into a low-dimensional output space, with the dimensionality determined by the LoRA rank. In standard LoRA, all input tokens share the same weights and undergo an identical input-output projection. This limits LoRA's ability to capture token-specific information due to the inherent semantic differences among tokens. To address this limitation, we propose Token-wise Projected Low-Rank Adaptation (TopLoRA), which dynamically adjusts LoRA weights according to the input token, thereby learning token-wise input-output projections in an end-to-end manner. Formally, the weights of TopLoRA can be expressed as $BΣ_X A$, where $A$ and $B$ are low-rank matrices (as in standard LoRA), and $Σ_X$ is a diagonal matrix generated from each input token $X$. Notably, TopLoRA does not increase the rank of LoRA weights but achieves more granular adaptation by learning token-wise LoRA weights (i.e., token-wise input-output projections). Extensive experiments across multiple models and datasets demonstrate that TopLoRA consistently outperforms LoRA and its variants. The code is available at https://github.com/Leopold1423/toplora-neurips25.
format Preprint
id arxiv_https___arxiv_org_abs_2510_23123
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Beyond Higher Rank: Token-wise Input-Output Projections for Efficient Low-Rank Adaptation
Li, Shiwei
Luo, Xiandi
Wang, Haozhao
Tang, Xing
Cui, Ziqiang
Liu, Dugang
Li, Yuhua
He, Xiuqiang
Li, Ruixuan
Computation and Language
Machine Learning
Low-rank adaptation (LoRA) is a parameter-efficient fine-tuning (PEFT) method widely used in large language models (LLMs). LoRA essentially describes the projection of an input space into a low-dimensional output space, with the dimensionality determined by the LoRA rank. In standard LoRA, all input tokens share the same weights and undergo an identical input-output projection. This limits LoRA's ability to capture token-specific information due to the inherent semantic differences among tokens. To address this limitation, we propose Token-wise Projected Low-Rank Adaptation (TopLoRA), which dynamically adjusts LoRA weights according to the input token, thereby learning token-wise input-output projections in an end-to-end manner. Formally, the weights of TopLoRA can be expressed as $BΣ_X A$, where $A$ and $B$ are low-rank matrices (as in standard LoRA), and $Σ_X$ is a diagonal matrix generated from each input token $X$. Notably, TopLoRA does not increase the rank of LoRA weights but achieves more granular adaptation by learning token-wise LoRA weights (i.e., token-wise input-output projections). Extensive experiments across multiple models and datasets demonstrate that TopLoRA consistently outperforms LoRA and its variants. The code is available at https://github.com/Leopold1423/toplora-neurips25.
title Beyond Higher Rank: Token-wise Input-Output Projections for Efficient Low-Rank Adaptation
topic Computation and Language
Machine Learning
url https://arxiv.org/abs/2510.23123