arXiv AI By Sicong Li, Qianqian Xu, Zhiyong Yang, Zitai Wang, Longtao Huang, Xiaochun Cao, Qingming Huang

ToPA: Block-wise Toeplitz Adaptation for Expressive and Efficient Fine-Tuning

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The paper introduces ToPA, a parameter‑efficient fine‑tuning method that replaces standard Toeplitz matrices with block‑wise Toeplitz matrices to increase capacity and shorten multiplicative chains, thereby stabilizing training and enhancing expressiveness. The authors theoretically prove that products of block‑wise Toeplitz matrices can approximate arbitrary matrices with shorter chain lengths and empirically demonstrate that ToPA outperforms existing low‑rank and sparse parameterizations across 21 NLP and CV datasets and five model architectures.

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