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On Block g -Circulant Matrices with Discrete Cosine and Sine Transforms for Transformer-Based Translation Machine

Author

Listed:
  • Euis Asriani

    (Doctoral Program of Mathematics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung 40132, Indonesia)

  • Intan Muchtadi-Alamsyah

    (Algebra Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung 40132, Indonesia
    University Center of Excellence Artificial Intelligence on Vision, Natural Language Processing and Big Data Analytics (U-CoE AI-VLB), Institut Teknologi Bandung, Bandung 40132, Indonesia)

  • Ayu Purwarianti

    (University Center of Excellence Artificial Intelligence on Vision, Natural Language Processing and Big Data Analytics (U-CoE AI-VLB), Institut Teknologi Bandung, Bandung 40132, Indonesia
    Informatics Research Group, School of Electrical Engineering and Informatics, Institut Teknologi Bandung, Bandung 40132, Indonesia)

Abstract

Transformer has emerged as one of the modern neural networks that has been applied in numerous applications. However, transformers’ large and deep architecture makes them computationally and memory-intensive. In this paper, we propose the block g -circulant matrices to replace the dense weight matrices in the feedforward layers of the transformer and leverage the DCT-DST algorithm to multiply these matrices with the input vector. Our test using Portuguese-English datasets shows that the suggested method improves model memory efficiency compared to the dense transformer but at the cost of a slight drop in accuracy. We found that the model Dense-block 1-circulant DCT-DST of 128 dimensions achieved the highest model memory efficiency at 22.14%. We further show that the same model achieved a BLEU score of 26.47%.

Suggested Citation

  • Euis Asriani & Intan Muchtadi-Alamsyah & Ayu Purwarianti, 2024. "On Block g -Circulant Matrices with Discrete Cosine and Sine Transforms for Transformer-Based Translation Machine," Mathematics, MDPI, vol. 12(11), pages 1-19, May.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:11:p:1697-:d:1405039
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