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Spatiotemporal Linear Neural Network

Parvin, Soroush | 2024

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 57047 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Mehrany, Khashayar; Memarian, Mohammad
  7. Abstract:
  8. Neural networks play an important role in industry nowadays. Matrix-vector multiplication (MVM) as one of the major building blocks of neural networks is conventionally implemented by electronic integrated circuits. In recent years, researchers have shown interest in implementing matrix-vector multiplication with a photonic approach to reduce the loss and increase the speed. By simultaneously using different degrees of freedom of light, such as amplitude, phase, wavelength, and angular momentum, it is possible to reduce the volume of electronic processors, increase computational accuracy, and higher processing capacity. In this research, matrix-vector multiplication is implemented by using multiple time harmonics of three different spatial modes each supported by a different waveguide. Three Euler micro-ring resonators are then designed to couple light from these three waveguides into a single bus waveguide. Once these three spatial modes and all their time harmonics are fed into a bus waveguide, they pass through certain spatial perturbations acting as a low-loss mode converter. In this fashion, all three modes are mixed with each other, and matrix multiplication is optically implemented. Similar Euler micro-ring resonators can then be employed to out-couple light from the bus waveguide to three different waveguides where the power of each mode can be read separately. Finally, it is shown that the optical implementation of MVM in a specific neural network with the task of handwritten digit recognition will increase the accuracy by 16% when it is compared against a similar neural network whose MVM is electronically implemented
  9. Keywords:
  10. Neural Network ; Matrix Multiplication ; Photonic Matrix-Vector Multiplication ; Photonic Implementation ; Euler Microring Resonators ; Photonic Mode Multiplexer

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