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Acta Optica Sinica, Volume. 42, Issue 19, 1920002(2022)

Randomized Singular Value Decomposition Based on Optical Computation

Yaming Liu1,2、***, Hongxiang Guo1,2、*, Yanhu Chen1,2, Jiajing Yang1,2, Yi Guo1,2, and Jian Wu1,2、**
Author Affiliations
  • 1School of Electronic Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • 2State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (7)
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    References (32)
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    Figures & Tables(7)
    Matrix dimensionality reduction principle based on complex media

    Fig. 1. Matrix dimensionality reduction principle based on complex media

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    Schematic diagram of experimental setup

    Fig. 2. Schematic diagram of experimental setup

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    Calculation accuracy varying with macropixel size

    Fig. 3. Calculation accuracy varying with macropixel size

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    Calculation accuracy varying with sample ratio

    Fig. 4. Calculation accuracy varying with sample ratio

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    Calculation accuracy varying with number of singular values used for matrix recovery

    Fig. 5. Calculation accuracy varying with number of singular values used for matrix recovery

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    Image compression results based on proposed scheme

    Fig. 6. Image compression results based on proposed scheme

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    • Table 1. Complexity comparison of matrix dimensionality reduction procedure

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      Table 1. Complexity comparison of matrix dimensionality reduction procedure

      SchemeTime complexitySpace complexity
      Traditional RSVDO（mnr）O（nr）
      RSVD based on optical computationO（1）O（1）
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    Yaming Liu, Hongxiang Guo, Yanhu Chen, Jiajing Yang, Yi Guo, Jian Wu. Randomized Singular Value Decomposition Based on Optical Computation[J]. Acta Optica Sinica, 2022, 42(19): 1920002

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    Paper Information

    Category: Optics in Computing

    Received: Feb. 11, 2022

    Accepted: Apr. 15, 2022

    Published Online: Oct. 18, 2022

    The Author Email: Liu Yaming (liuyaming@bupt.edu.cn), Guo Hongxiang (hxguo@bupt.edu.cn), Wu Jian (jianwu@bupt.edu.cn)

    DOI:10.3788/AOS202242.1920002

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology