Diving into Kronecker Adapters: Component Design Matters

Fuente: arXiv
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Autores principales: Bai, Jiayu, Yu, Danchen, Liao, Zhenyu, Hou, TianQi, Zhou, Feng, Qiu, Robert C., Ling, Zenan
Formato: Preprint
Publicado: 2026
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author Bai, Jiayu
Yu, Danchen
Liao, Zhenyu
Hou, TianQi
Zhou, Feng
Qiu, Robert C.
Ling, Zenan
author_facet Bai, Jiayu
Yu, Danchen
Liao, Zhenyu
Hou, TianQi
Zhou, Feng
Qiu, Robert C.
Ling, Zenan
contents Kronecker adapters have emerged as a promising approach for fine-tuning large-scale models, enabling high-rank updates through tunable component structures. However, existing work largely treats the component structure as a fixed or heuristic design choice, leaving the dimensions and number of Kronecker components underexplored. In this paper, we identify component structure as a key factor governing the capacity of Kronecker adapters. We perform a fine-grained analysis of both the dimensions and number of Kronecker components. In particular, we show that the alignment between Kronecker adapters and full fine-tuning depends on component configurations. Guided by these insights, we propose Component Designed Kronecker Adapters (CDKA). We further provide parameter-budget-aware configuration guidelines and a tailored training stabilization strategy for practical deployment. Experiments across various architectures and modalities demonstrate the effectiveness of CDKA. Code is available at https://github.com/rainstonee/CDKA.
format Preprint
id arxiv_https___arxiv_org_abs_2602_01267
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Diving into Kronecker Adapters: Component Design Matters
Bai, Jiayu
Yu, Danchen
Liao, Zhenyu
Hou, TianQi
Zhou, Feng
Qiu, Robert C.
Ling, Zenan
Machine Learning
Kronecker adapters have emerged as a promising approach for fine-tuning large-scale models, enabling high-rank updates through tunable component structures. However, existing work largely treats the component structure as a fixed or heuristic design choice, leaving the dimensions and number of Kronecker components underexplored. In this paper, we identify component structure as a key factor governing the capacity of Kronecker adapters. We perform a fine-grained analysis of both the dimensions and number of Kronecker components. In particular, we show that the alignment between Kronecker adapters and full fine-tuning depends on component configurations. Guided by these insights, we propose Component Designed Kronecker Adapters (CDKA). We further provide parameter-budget-aware configuration guidelines and a tailored training stabilization strategy for practical deployment. Experiments across various architectures and modalities demonstrate the effectiveness of CDKA. Code is available at https://github.com/rainstonee/CDKA.
title Diving into Kronecker Adapters: Component Design Matters
topic Machine Learning
url https://arxiv.org/abs/2602.01267