1.Electrical & Computer Engineering Department, University of California, Los Angeles, CA 90095, USA
2.Bioengineering Department, University of California, Los Angeles, CA 90095, USA
3.California NanoSystems Institute (CNSI), University of California, Los Angeles, CA 90095, USA
Aydogan Ozcan (ozcan@ucla.edu)
Published:31 August 2024,
Published Online:23 July 2024,
Received:02 March 2024,
Revised:11 July 2024,
Accepted:12 July 2024
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Li, Y. H., Li, J. X. & Ozcan, A. Nonlinear encoding in diffractive information processing using linear optical materials. Light: Science & Applications, 13, 1675-1688 (2024).
Li, Y. H., Li, J. X. & Ozcan, A. Nonlinear encoding in diffractive information processing using linear optical materials. Light: Science & Applications, 13, 1675-1688 (2024). DOI: 10.1038/s41377-024-01529-8.
Nonlinear encoding of optical information can be achieved using various forms of data representation. Here
we analyze the performances of different nonlinear information encoding strategies that can be employed in diffractive optical processors based on linear materials and shed light on their utility and performance gaps compared to the state-of-the-art digital deep neural networks. For a comprehensive evaluation
we used different datasets to compare the statistical inference performance of simpler-to-implement nonlinear encoding strategies that involve
e.g.
phase encoding
against data repetition-based nonlinear encoding strategies. We show that data repetition within a diffractive volume (e.g.
through an optical cavity or cascaded introduction of the input data) causes the loss of the universal linear transformation capability of a diffractive optical processor. Therefore
data repetition-based diffractive blocks cannot provide optical analogs to fully connected or convolutional layers commonly employed in digital neural networks. However
they can still be effectively trained for specific inference tasks and achieve enhanced accuracy
benefiting from the nonlinear encoding of the input information. Our results also reveal that phase encoding of input information without data repetition provides a simpler nonlinear encoding strategy with comparable statistical inference accuracy to data repetition-based diffractive processors. Our analyses and conclusions would be of broad interest to explore the push-pull relationship between linear material-based diffractive optical systems and nonlinear encoding strategies in visual information processors.
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