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Main Authors: Shen, Yixian, Bi, Qi, Huang, Jia-Hong, Zhu, Hongyi, Pimentel, Andy D., Pathania, Anuj
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2505.23870
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author Shen, Yixian
Bi, Qi
Huang, Jia-Hong
Zhu, Hongyi
Pimentel, Andy D.
Pathania, Anuj
author_facet Shen, Yixian
Bi, Qi
Huang, Jia-Hong
Zhu, Hongyi
Pimentel, Andy D.
Pathania, Anuj
contents We present a new adaptation method MaCP, Minimal yet Mighty adaptive Cosine Projection, that achieves exceptional performance while requiring minimal parameters and memory for fine-tuning large foundation models. Its general idea is to exploit the superior energy compaction and decorrelation properties of cosine projection to improve both model efficiency and accuracy. Specifically, it projects the weight change from the low-rank adaptation into the discrete cosine space. Then, the weight change is partitioned over different levels of the discrete cosine spectrum, and each partition's most critical frequency components are selected. Extensive experiments demonstrate the effectiveness of MaCP across a wide range of single-modality tasks, including natural language understanding, natural language generation, text summarization, as well as multi-modality tasks such as image classification and video understanding. MaCP consistently delivers superior accuracy, significantly reduced computational complexity, and lower memory requirements compared to existing alternatives.
format Preprint
id arxiv_https___arxiv_org_abs_2505_23870
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle MaCP: Minimal yet Mighty Adaptation via Hierarchical Cosine Projection
Shen, Yixian
Bi, Qi
Huang, Jia-Hong
Zhu, Hongyi
Pimentel, Andy D.
Pathania, Anuj
Machine Learning
Artificial Intelligence
We present a new adaptation method MaCP, Minimal yet Mighty adaptive Cosine Projection, that achieves exceptional performance while requiring minimal parameters and memory for fine-tuning large foundation models. Its general idea is to exploit the superior energy compaction and decorrelation properties of cosine projection to improve both model efficiency and accuracy. Specifically, it projects the weight change from the low-rank adaptation into the discrete cosine space. Then, the weight change is partitioned over different levels of the discrete cosine spectrum, and each partition's most critical frequency components are selected. Extensive experiments demonstrate the effectiveness of MaCP across a wide range of single-modality tasks, including natural language understanding, natural language generation, text summarization, as well as multi-modality tasks such as image classification and video understanding. MaCP consistently delivers superior accuracy, significantly reduced computational complexity, and lower memory requirements compared to existing alternatives.
title MaCP: Minimal yet Mighty Adaptation via Hierarchical Cosine Projection
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2505.23870