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    <abstract>Singular value decomposition (SVD) is one of the most popular compression methods that approximate a target matrix with smaller matrices. However, standard SVD treats the parameters within the matrix with equal importance, which is a simple but unrealistic assumption. The parameters of a trained neural network model may affect the task performance unevenly, which suggests non-equal importance among the parameters. Compared to SVD, the decomposition method aware of parameter importance is the more practical choice in real cases. Unlike standard SVD, weighed value decomposition is a non-convex optimization problem that lacks a closed-form solution. We systematically investigated multiple optimization strategies to tackle the problem and examined our method by compressing Transformer-based language models. Further, we designed a metric to predict when the SVD may introduce a significant performance drop, for which our method can be a rescue strategy. The extensive evaluations demonstrate that our method can perform better than current SOTA methods in compressing Transformer-based language models.</abstract>
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%0 Conference Proceedings
%T Numerical Optimizations for Weighted Low-rank Estimation on Language Models
%A Hua, Ting
%A Hsu, Yen-Chang
%A Wang, Felicity
%A Lou, Qian
%A Shen, Yilin
%A Jin, Hongxia
%Y Goldberg, Yoav
%Y Kozareva, Zornitsa
%Y Zhang, Yue
%S Proceedings of the 2022 Conference on Empirical Methods in Natural Language Processing
%D 2022
%8 December
%I Association for Computational Linguistics
%C Abu Dhabi, United Arab Emirates
%F hua-etal-2022-numerical
%X Singular value decomposition (SVD) is one of the most popular compression methods that approximate a target matrix with smaller matrices. However, standard SVD treats the parameters within the matrix with equal importance, which is a simple but unrealistic assumption. The parameters of a trained neural network model may affect the task performance unevenly, which suggests non-equal importance among the parameters. Compared to SVD, the decomposition method aware of parameter importance is the more practical choice in real cases. Unlike standard SVD, weighed value decomposition is a non-convex optimization problem that lacks a closed-form solution. We systematically investigated multiple optimization strategies to tackle the problem and examined our method by compressing Transformer-based language models. Further, we designed a metric to predict when the SVD may introduce a significant performance drop, for which our method can be a rescue strategy. The extensive evaluations demonstrate that our method can perform better than current SOTA methods in compressing Transformer-based language models.
%R 10.18653/v1/2022.emnlp-main.91
%U https://aclanthology.org/2022.emnlp-main.91
%U https://doi.org/10.18653/v1/2022.emnlp-main.91
%P 1404-1416

Markdown (Informal)

[Numerical Optimizations for Weighted Low-rank Estimation on Language Models](https://aclanthology.org/2022.emnlp-main.91) (Hua et al., EMNLP 2022)

• Numerical Optimizations for Weighted Low-rank Estimation on Language Models (Hua et al., EMNLP 2022)

ACL

• Ting Hua, Yen-Chang Hsu, Felicity Wang, Qian Lou, Yilin Shen, and Hongxia Jin. 2022. Numerical Optimizations for Weighted Low-rank Estimation on Language Models. In Proceedings of the 2022 Conference on Empirical Methods in Natural Language Processing, pages 1404–1416, Abu Dhabi, United Arab Emirates. Association for Computational Linguistics.