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arXiv 2602.19982cs.LGcs.NAmath.NA

一种计算高效的多维视觉变换器

A Computationally Efficient Multidimensional Vision Transformer

Université du Littoral Cote d’Opale(卢瓦尔海岸大学);LISIC(LISIC研究所)

Alaa El Ichi, Khalide Jbilou

AI总结:

本文提出了一种基于张量余弦积的高效视觉变换器架构,通过多线性结构和正交性实现计算高效的注意力机制和特征表示,实验表明在保持性能的同时显著减少了参数量。

摘要:

视觉变换器在多种计算机视觉任务中取得了最先进的性能,但其实际部署受到高计算和内存成本的限制。在本文中,我们介绍了一种基于张量余弦积(Cproduct)的视觉变换器新框架。通过利用图像数据中固有的多线性结构以及余弦变换的正交性,所提出的方法能够实现高效的注意力机制和结构化的特征表示。我们建立了张量余弦积的理论基础,分析了其代数性质,并将其整合到一个新的基于Cproduct的视觉变换器架构(TCP-ViT)中。在标准分类和分割基准上的数值实验表明,所提出的方法在保持竞争性准确性的同时,实现了统一的1/C参数减少(其中C是通道数)。

英文摘要:

Vision Transformers have achieved state-of-the-art performance in a wide range of computer vision tasks, but their practical deployment is limited by high computational and memory costs. In this paper, we introduce a novel tensor-based framework for Vision Transformers built upon the Tensor Cosine Product (Cproduct). By exploiting multilinear structures inherent in image data and the orthogonality of cosine transforms, the proposed approach enables efficient attention mechanisms and structured feature representations. We develop the theoretical foundations of the tensor cosine product, analyze its algebraic properties, and integrate it into a new Cproduct-based Vision Transformer architecture (TCP-ViT). Numerical experiments on standard classification and segmentation benchmarks demonstrate that the proposed method achieves a uniform 1/C parameter reduction (where C is the number of channels) while maintaining competitive accuracy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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